Suppose I took a survey of 324 people at the school. The survey showed that 120 people like dogs, 150 like cats, and 98 like both.

Make a two way table representing the above data.

If a person does not like dogs, what is the probability that they do not like cats

Answers

Answer 1

The probability that they do not like cats given that person does not like dogs: 13/51.

Explain about the vein diagram?A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Total people : 324.

People like dogs D: 120

Probability P(D) = 120/324

Probability Not like dogs P(D') = 1 - 120/324 = 204/324

People like cats C: 150

Probability P(C) = 150/324

Probability who don't like digs but like cats:

P(C ∩ D') = 52/ 324

Probability that they do not like cats given that person does not like dogs:

P(C'/D') = 1  -  P(C ∩ D')/P(D')

P(C'/D') = 1 - (52/324) /(204/324)

P(C'/D') = 1 - 52/204

P(C'/D') = 152/204 = 13/51

Thus, the probability that they do not like cats given that person does not like dogs: 13/51.

know more about the vein diagram

https://brainly.com/question/28060706

#SPJ1

Suppose I Took A Survey Of 324 People At The School. The Survey Showed That 120 People Like Dogs, 150

Related Questions

The volume of a cube is 64 cubic meters. Find the length of an edge.

FIND THE LENGTH IN METERS!!!!

Answers

Answer:

Below

Step-by-step explanation:

Volume = L  X  W  X  H    For a CUBE, all of the dimesions L, W, and H are the same ...so this becomes   volume =L  x  L   x  L  =   L^3

Volume = L^3

64 = L^3             take the cube root of both sides of the equation:

L = 4 meters  

Which of the following would most likely reduce the monthly premium a policyholder pays for automobile insurance?
1. Buying a minivan
II. Maintaining an accident-free driving record over time
III. Paying a speeding ticket
IV. Taking a job with a longer commute by car
O I, II
O III, IV
O II, III
OI, IV

Answers

The factors that would most likely reduce the monthly premium a policyholder who pays for automobile insurance is -

Option A: I, II

What is insurance?

Insurance is a legal agreement, evidenced by a policy, under which a policyholder receives financial security or compensation from an insurance provider against losses. In order to make payments to the insured more manageable, the company pools the risks of its clients.

The factors that can affect the monthly premium a policyholder pays for automobile insurance include the type of vehicle, driving record, and other personal factors.

Out of the options given, buying a minivan  and maintaining an accident-free driving record over time would most likely reduce the monthly premium a policyholder pays for automobile insurance.

Minivans are generally considered safer and less expensive to repair than other types of vehicles, and having an accident-free driving record indicates that the policyholder is a lower risk for filing a claim in the future.

Paying a speeding ticket and taking a job with a longer commute by car are unlikely to reduce the monthly premium a policyholder pays for automobile insurance.

Paying a speeding ticket indicates a violation of traffic laws and a higher risk for accidents, and a longer commute by car increases the risk of accidents and damages.

Therefore, the answer is buying a minivan and maintaining an accident-free driving record over time.

To learn more about insurance from the given link

https://brainly.com/question/1373572

#SPJ1

Answer: option a (I, II)

Step-by-step explanation: Person above is correct!

solve the system of equations graphed on the coordinate axes below

Answers

Answer (0,0)

Step-by-step explanation:

Method 1)

look at the graph to see where the two lines intersect, which is at (0,0).

Method 2)

 [tex]\frac{4}{3} x[/tex] =  -2x ............................set the 2 equations equal

[tex]\frac{10}{3} x[/tex] = 0.................................set the equation to 0 (by adding 2x to both sides)

x = 0.....................................solve for x (by dividing both sides by [tex]\frac{10}{3}[/tex]

Note: you can use y =  [tex]\frac{4}{3} x[/tex]  OR y = -2x

y= -2x

y = -2(0)...............................plug in the x

y = 0.....................................solve

(x,y)

(0,0)......................................plug in x and y value


[tex]|x| - 5 |x + 6 = 0[/tex]
Where [x] the greatest integer function then the solution for X is ​

Answers

The greatest integer value for x​ is -8

How to determine the greatest integer value for x​

From the question, we have the following parameters that can be used in our computation:

|x| - 5|x + 6 = 0

Express properly

So, we have

|x| - 5|x + 6| = 0

This gives

|x| = 5|x + 6|

When both sides of the equation are compared, we have

x = 5x + 30

So, we have

4x = -30

Divide by 4

x = -7.5

Approximate to an integer

x = -8

Hence, the value of x is -8

Read more about absolute equation at

https://brainly.com/question/10538556

#SPJ1

If the adult dosage of a drug is 257mL , how much should a 2-year old child receive? Round your answer to the nearest hundredth.

Answers

In this particular case, a 2-year old child should receive a dosage of approximately 16.15mL of the drug. This figure is calculated by using the following formula: (adult dosage/150) x (child's weight in kg).

What is dosage?

Dosage is a term used to describe the amount of medicine or drug prescribed for a particular individual to take at a given time. It is usually prescribed by a doctor or healthcare provider based on the patient's age, weight, and medical condition. Dosage may vary from person to person depending on their health condition and other factors.

The appropriate dosage of a drug for a 2-year old child is calculated by taking into account the weight, age and health status of the child. Before administering any medications, it is important to consult with a doctor or a pharmacist to ensure that the appropriate dosage is used.

The adult dosage of 257mL is divided by 150 to obtain the base dosage of 1.71mL. This is then multiplied by the child's weight in kilograms (which is usually around 9 kg) to obtain the final dosage of 16.15mL.

It is important to note that the dosage should be rounded to the nearest hundredth. Therefore, the recommended dosage for the 2-year old child in this case would be 16.2mL. It is important to ensure that the dosage is not rounded up, as this could lead to an overdose of the drug, which could have serious consequences.

For more questions related to medications

https://brainly.com/question/12646017

#SPJ9

The graph below is on a semi-log scale, as indicated.

Find an equation for the graph shown

Answers

The equation of the graph is y = 0, which means that the graph is a horizontal line at y=0.

Describe Equation?

An equation is a mathematical statement that asserts that two expressions are equal. It is typically written with an equals sign (=) separating the two expressions. For example, the equation "2x + 1 = 7" asserts that the expression "2x + 1" is equal to the expression "7". Equations can contain variables, which are symbols that represent unknown values. In the example equation, "x" is the variable that we want to solve for. Equations can be used to solve problems and find solutions to unknown values. There are various techniques and methods to solve equations depending on their complexity and nature.

Since the graph is on a semi-log scale, we know that the vertical axis is a logarithmic scale and the horizontal axis is a linear scale. Therefore, the equation of the graph is of the form:

y = a * bˣ

where a and b are constants to be determined.

We are given two points on the graph: (1,0) and (0.5,0). Let's use these points to find the values of a and b.

Using the point (1,0):

0 = a * b¹

0 = a * b

Using the point (0.5,0):

0 = a * b^0.5

0 = √(a)

Therefore, we have:

a = 0

b can be any non-zero number

So the equation of the graph is:

y = 0 * bˣ

which simplifies to:

y = 0

So the equation of the graph is y = 0, which means that the graph is a horizontal line at y=0.

To know more about expression visit:

https://brainly.com/question/24242989

#SPJ1

solve this proof? flow chart proof

Answers

Since HM = NK and ∠FGH = ∠KGH = 45°, we have FG = KH by the hypοtenuse-leg (HL) cοngruence theοrem.

What is Triangles?

A triangle is geοmetric shape that is fοrmed by the three straight line segments that cοnnect tο fοrm the three sides. These sides enclοse  regiοn in  plane, and  three pοints where  line segments intersect are called vertices.

We are given that HF GK, and ZF and ZK are right angles.

Tο prοve: FG KH

We will use the fοllοwing steps tο prοve the statement:

Draw perpendiculars frοm F and G tο HK, and label the pοints οf intersectiοn as M and N, respectively.

Since ZF is a right angle, we have ∠FMH = 90°.

Similarly, since ZK is a right angle, we have ∠GNK = 90°.

We are alsο given that HF GK, sο triangle HFG is cοngruent tο triangle KFG by the hypοtenuse-leg (HL) cοngruence theοrem.

Therefοre, FH = GK and ∠HFG = ∠KFG.

Since ∠FMH = 90° and FH = GK, we have HM = NK.

Alsο, since ∠HFG = ∠KFG, we have ∠FGH = ∠KGH.

Using angle additiοn pοstulate, we have ∠FGH + ∠KGH = ∠FGK = 90°.

Thus, ∠FGH = ∠KGH = 45°.

Finally, since HM = NK and ∠FGH = ∠KGH = 45°, we have FG = KH by the hypοtenuse-leg (HL) cοngruence theοrem.

Therefοre, FG KH, which cοmpletes the prοοf.

Hence, we have prοved that FG KH.

To know more about Vertices visit:

brainly.com/question/30105258

#SPJ

helppp pls show work

Answers

4) Where the hypotenuse is 100 and the adjacent side is x and α = 45°, the x = 70.71

5) Where the opposite side is 100, and  α = 45°, the hypotenuse is 141.42

6) Where the hypotenuse is 88 and β = 45°, x (the opposite side) is 62.23

7) Therefore, the length of each leg of the 45°-45°-90° triangle with a hypotenuse length of 26 is approximately 18.33 units.

8) Therefore, the approximate length of the hypotenuse of the 45°-45°-90° triangle with a leg length of 50 centimeters is 70.71cm.

9) Where the Base is 11 and α = 30°, Hypothenus (x) = 22 and Opposite (y) = 19.05

10) Where the hypotenuse  is 8√3, and β = 45°, opposite (x) = 11.99 and adjacent (y) = 6.93

11) Where the adjacent is 5√3  and α = 30°, opposite (x) = 14.99 and Hypothenus (y) = 17.32

12) where hypotenuse = 30, and the β = 60°, the adjacent (x) = 15 and the opposite (y) = 25.98

13) where opposite is 36.372 and the β = 60°, the hypothenus (x) = 41.99 and the adjacent (y) = 20.99

14) where the hypotenuse is 90.316 and  β = 60°, the opposite (x) = 78.22 and the adjacent (y) is 45.16

15) An equilateral triangle has an altitude length of 27 feet, and the length of a side is 15.588 feet.

16) the length of a side of the equilateral triangle is 22 feet.

What is the explanation for the above results?

The basic rule applied here (from 4-14) is the principle of SOHCAHTOA.


The principle of SOHCAHTOA is a mnemonic device used to remember the three basic trigonometric ratios in a right triangle:

Sine (sin) = opposite/hypotenuse

Cosine (cos) = adjacent/hypotenuse

Tangent (tan) = opposite/adjacent

In SOHCAHTOA, each letter represents one of the ratios:

"S" stands for sine, which relates the opposite side to the hypotenuse.

"O" stands for opposite, which is the side opposite to the angle of interest in the right triangle.

"H" stands for the hypotenuse, which is the longest side of the right triangle and is opposite to the right angle.

"C" stands for cosine, which relates the adjacent side to the hypotenuse.

"A" stands for adjacent, which is the side adjacent to the angle of interest in the right triangle.

"T" stands for the tangent, which relates the opposite side to the adjacent side.

By using SOHCAHTOA, we can quickly and easily find any of the three basic trigonometric ratios, given two sides of a right triangle and an angle.


In 4) This is an example of a right triangle, where one of the angles is 90 degrees. In a right triangle, the side opposite the 90-degree angle is called the hypotenuse, while the other two sides are called the adjacent and opposite sides.

In this case, the hypotenuse is given as 100 units, and the angle between the hypotenuse and adjacent side (x) is given as 45 degrees. To find the length of the adjacent side, we can use the trigonometric function cosine, which relates the adjacent side to the hypotenuse and the angle between them:

cos(α) = adjacent/hypotenuse

Substituting the given values, we get:

cos(45°) = x/100

Simplifying, we get:

x = 100 * cos(45°)

Using the identity cos(45°) = √2/2, we get:

x = 100 * √2/2

Simplifying further, we get:

x = 50√2

To find the approximate value of x in decimal form, we can use a calculator or approximate the value of √2 as 1.414. Then, we get:

x ≈ 50 * 1.414 = 70.71

Therefore, x is approximately equal to 70.71 units.

In 8) Where we needed to find the length of the hypotenuse of a 45°-45°-90° triangle with a leg length of 50 centimeters.

In a 45°-45°-90° triangle, the two legs are congruent, and the length of the hypotenuse is √2 times the length of each leg.

Therefore, if one leg of the triangle has a length of 50 centimeters, then the other leg also has a length of 50 centimeters, and the hypotenuse has a length of:

hypotenuse length = leg length x √2

hypotenuse length = 50 cm x √2

To simplify the expression, we can multiply the numerator and denominator of the fraction by √2:

hypotenuse length = 50 cm x √2 x √2 ÷ √2

hypotenuse length = 50 cm x 2 ÷ √2

hypotenuse length = 100 cm ÷ √2

To rationalize the denominator, we can multiply the numerator and denominator of the fraction by √2:

hypotenuse length = 100 cm ÷ √2 x √2 ÷ √2

hypotenuse length = 100√2 ÷ 2

hypotenuse length = 50√2

Therefore, the length of the hypotenuse of the 45°-45°-90° triangle with a leg length of 50 centimeters is 50√2 centimeters or 70.71cm.

Learn more about SOHCAHTOA:
https://brainly.com/question/11853948
#SPJ1


The Director of Nursing (DON) in a long-term care facility receives a gross yearly salary of $67,000. The DON is married with three dependents and has enrolled in the company's insurance family plan. The long-term care facility employees receive paychecks every other week. a. Calculate the gross salary per pay period. b. Compute the net salary per pay period.

Answers

a. To calculate the gross salary per pay period, we need to divide the yearly salary by the number of pay periods in a year:

Gross salary per pay period = Yearly salary / Number of pay periods per year

Since there are 26 pay periods in a year (bi-weekly paychecks), we have:

Gross salary per pay period = $67,000 / 26 = $2,576.92

Therefore, the DON's gross salary per pay period is $2,576.92.

b. To compute the net salary per pay period, we need to take into account federal and state taxes, Social Security, and Medicare deductions, as well as any other pre-tax or post-tax deductions, such as health insurance premiums or retirement contributions.

Assuming a standard tax withholding rate of 20%, Social Security and Medicare deductions of 7.65%, and health insurance premiums of $200 per pay period, we can calculate the net salary per pay period as follows:

Net salary per pay period = Gross salary per pay period - Taxes - Social Security and Medicare - Health insurance

Net salary per pay period = $2,576.92 - ($2,576.92 x 0.20) - ($2,576.92 x 0.0765) - $200

Net salary per pay period = $2,576.92 - $515.38 - $197.02 - $200

Net salary per pay period = $1,664.52

Therefore, the DON's net salary per pay period is $1,664.52.

I need help with this question! (For 55 points)

Answers

Answer:

1.65 inches

Step-by-step explanation:

3.63/2.2= 1.65

Check

2.2 x 1.65 x 1/2 = 1.815

Repeat for the other half of the triangle

2.2 x 1.65 x 1/2 = 1.815

Add

1.815 + 1.815= 3.63

Answer:

1.65"

Step-by-step explanation:

I did the test

Hope this helps :)

Alisha has some number cards that each have a whole number on them. If she chooses a card at random, the probability that the number on it is even is. Work out the ratio of even cards to odd cards that Alisha has. Give your answer in its simplest form.​

Answers

The ratio is [tex]\frac{3}{2}[/tex] in its simplest form.

Equation

If the probability of choosing an even card is [tex]\frac{3}{5}[/tex] , then the probability of choosing an odd card is 1- [tex]\frac{3}{5}[/tex] = [tex]\frac{3}{2}[/tex].

Let e be the number of even cards Alisha has, and let o be the number of odd cards. Then, we have:

[tex]\frac{e}{e+0}[/tex]

which simplifies to:

5e=3(e+o)

Expanding the right side gives:

5e=3e+3o

Simplifying further gives:

2e=3o

Dividing both sides by 2 gives:

e= [tex]\frac{3}{2}[/tex]o

[tex]\frac{3}{2}[/tex]

What is probablity?

Probability is a branch of mathematics that deals with the study of random events or experiments. It involves the analysis of the likelihood or chance of an event occurring, usually expressed as a number between 0 and 1, where 0 indicates that the event will not occur and 1 indicates that the event is certain to occur.

To know more about Probablity, click here,

https://brainly.com/question/16722133

#SPJ1

Write a polynomial function of the least degree with integral coefficients that have the given zeros. 4,-2+root5

Answers

If the given zeros are 4 and -2+√5, then the polynomial function of the least degree with integral coefficients that has these zeros can be obtained by using the fact that if a polynomial has a root at x=a, then it has a factor of (x-a).

Therefore, the polynomial function with these zeros can be written as:

(x - 4)(x - (-2+√5))(x - (-2-√5))

Expanding the factors using the difference of squares, we get:

(x - 4)((x + 2) - √5)((x + 2) + √5)

Simplifying the expression further, we get:

(x - 4)((x + 2)^2 - 5)

Expanding the square, we get:

(x - 4)(x^2 + 4x - 1)

Therefore, the polynomial function of the least degree with integral coefficients that has the zeros 4 and -2+√5 is:

f(x) = (x - 4)(x^2 + 4x - 1)

Expanding the factors, we get:

f(x) = x^3 + 4x^2 - x - 16

A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 34 minutes ​? In 1 hour ​?

Answers

let's firstly convert the mixed fractions to improper fractions.

[tex]\stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}~\hfill \stackrel{mixed}{2\frac{1}{4}} \implies \cfrac{2\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{array}{ccll} miles&minutes\\ \cline{1-2} \frac{3}{2}&\frac{9}{4}\\[1em] x&34 \end{array}\implies \cfrac{~~ \frac{3 }{2 } ~~}{x}~~ = ~~\cfrac{~~ \frac{9}{ 4} ~~}{34}\implies \cfrac{3}{2x}=\cfrac{9}{(4)(34)}\implies \cfrac{3}{2x}=\cfrac{9}{136} \\\\\\ (3)(136)=18x\implies \cfrac{(3)(136)}{18}=x\implies \cfrac{68}{3}\implies \stackrel{ miles }{x=22\frac{2}{3}}[/tex]

Step-by-step explanation:

11/2 is equivalent to 21/4 is

equivalent to 9/4

The unit rate will be:

3/2 miles= x

9/4 min 1 min

Now use this unit to find how far the car will travel in 26 minutes

2/3 mile •26 min= 52/3 miles or 17 and 1/3

miles

1 min

Since 1 hour is equal to 60 minutes, we can

multiply the unit rate by 60 to find the distance traveled in 1 hour.

2/3 mile• 60 min = 120/3 = 40 miles

traveled in 1 hour

1 min

Can you help me solve this

Answers

We can see that linear function B has a greater rate of change than function A.

Which function has the greater rate of change?

The general linear function is written as:

y = a*x +b

Where a is the rate of change.

If we know two points on the linear function, (x₁,y₁) and (x₂, y₂), then the rate of change is given by:

a = (y₂ -y₁)/(x₂ - x₁)

For function A we use the first two on the table (1, 5) and (2, 7)

a = (7 - 5)/(2 - 1) = 2

For the function B we willuse (1, 1) and (2, 4), then:

a = (4 - 1)/(2 - 1) = 3

Function B has a greater rate of change.

Learn more about linear functions at:

https://brainly.com/question/4025726

#SPJ1

I NEED HELP QUICK FILE ATTACHED

Answers

After answering the presented question, we can conclude that equation Therefore, the solution to the given system of equations is (x, y) = (2, 2).

What is equation?

An equation is a mathematical statement that proves the equality of two expressions connected by the equal symbol '='. 2x - 5 Equals 13, for example. Expressions include 2x-5 and 13. The character '=' joins the two expressions. A mathematical formula with two algebraic expressions on either side of an equal sign (=) is known as an equation. It demonstrates the relationship of equivalence between the left and right formulas. In every formula, LHS = RHS (left side = right side).

[tex]4x + y = 10 ...(1)\\y = 2x - 2 ...(2)\\y = 2x - 2 ...(2)\\y + 2 = 2x ...(2)\\x = (y+2)/2 ...(3)\\4x + y = 10 ...(1)\\4[(y+2)/2] + y = 10 \\[/tex]

[tex]2(y+2) + y = 10 \\3y + 4 = 10\\3y = 6\\y = 2 \\y = 2x - 2 ...(2)\\2 = 2x - 2 \\4 = 2x \\x = 2 \\[/tex]

Therefore, the solution to the given system of equations is (x, y) = (2, 2).

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The list below shows the scores for each of Sarah’s homework assignments.
100, 95, 47, 83, 87, 89, 89
If the score 47 is removed from the list, which of the following statements is true

Answers

The correct statement regarding the mean of the data-set when the score of 47 is removed is given as follows:

The mean increased by about 6.

How to calculate the mean of a data-set?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

The observations for this problem are given as follows:

100, 95, 47, 83, 87, 89, 89.

There are 7 observations, and their sum is given as follows:

100 + 95 + 47 + 83 + 87 + 89 + 89 = 590.

Hence the mean is of:

590/7 = 84.29.

Removing the observation of 47, there will be 6 observations, with a sum of 590 - 47 = 543, hence the mean is of:

543/6 = 90.5.

Meaning that the mean increases by about 6.

More can be learned about the mean of a data-set at https://brainly.com/question/1136789

#SPJ1

find the exact value of x.

Answers

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

[tex]\cfrac{6}{x}=\cfrac{x}{8}\implies 48=x^2\implies \sqrt{48}=x\implies \sqrt{4^2\cdot 3}=x\implies 4\sqrt{3}=x[/tex]

Brainliest!! Pls help!! Find the equation of a line parallel to y = -x+6 that passes through the point (-5,-9).

Answers

answer: y-9=-(-x-5),

please help me I am in a pinch with an over due assignment and I already knows how to solve but I don't have time and just need answers please.​

Answers

Answer:

Step-by-step explanation:

The first question is 3 * 2x which equals 6x + 15. That's your answer

Answer:

[tex]\tt \: Hope \: it \: helps \: you \\[/tex]

given the coordinate of the foci to be (0,2) and (0,-2) and the length of the major axis is 6 find the vertices, the centre and equation of the ellipse​

Answers

The vertices are (0,3) and (0,-3). The center of the ellipse is (0,0). the equation of the ellipse is (x²)/9 + (y²)/5 = 1.

How to find entre and equation of the ellipse​?

The center of the ellipse is at the midpoint of the foci, which is (0,0).

The distance between the center and each focus is 2, so we know that c = 2.

The length of the major axis is 6, so we know that a = 3.

The formula for the distance between the center and each vertex is a, so we can find the vertices at (0,3) and (0,-3).

The formula for the minor axis is b² = a² - c², so we have b² = 5. Therefore, b = √(5).

The equation of the ellipse is (x - h)²/a² + (y - k)²/b² = 1, where (h,k) is the center. Plugging in our values:

(x - 0)²/3² + (y - 0)²/5 = 1

Simplifying:

(x²)/9 + (y²)/5 = 1

So the equation of the ellipse is (x²)/9 + (y²)/5 = 1.

Learn more foci here: https://brainly.com/question/26250569

#SPJ1

The population of a country has been decreasing for several decades. In​ 1990, the population was about 122 million people. In​ 2010, the population was about 113million people. Determine the percent decrease in the​ country's population during this time period.

Answers

Answer:

About a 7.3 percent Decrease

Step-by-step explanation:

First, calculate the diffrence between the two numbers:

122-113=9

Then, divide this number by the original number, it being 122, and then multiply that number by 100.

the simplified version of this number to the tenths place is 7.38%

need help with This Math ​

Answers

The number of intersection points is (a) 1 point or 2 points.

How to determine the number of intersection points

Given that

Line AB and circle P lie on the same plane.

And, we have

AP = 6 mm

BP = 8 mm

The intersection points can be 0, 1, or 2.

Since the radius of circle P is 6mm, any intersection point must also be 6mm away from P.

Next, we have the following test cases

If line AB intersects circle P at one point, then that point must be on the circle centered at P and have a radius of 6mm. If line AB intersects circle P at two points, then both points must be on the same circle centered at P with a radius of 6mm.

Hence, the answer is (A) 1 point or 2 points.

Read more about circles at

https://brainly.com/question/7470785

#SPJ1

Complete the ratio table.
8
40
48
56
3
15
18
36

Answers

Answer:

52 : 39 56 : 42 60 : 45

64 : 48 68 : 51

Step-by-step explanation:

Question 3 of Ariel sings a song in 5.92 minutes. Carlos sings the same song in 7.73 minutes. How much longer does it take Carlos to sing the song? Estimate by rounding to the nearest whole number. If the answer is not a whole number, enter it as a decimal. Do not include units in your answer.​

Answers

It takes Carlos 2 minutes longer than Ariel to sing the song.

Estimating the difference in the time taken

To find out how much longer it takes Carlos to sing the song, we need to find the difference between the time it takes Ariel and Carlos to sing the song.

Time taken by Ariel = 5.92 minutes

Time taken by Carlos = 7.73 minutes

So, we have

Difference = 7.73 - 5.92 = 1.81 minutes

Rounding to the nearest whole number, we get:

Difference = 2 minutes (rounded to the nearest whole number)

Therefore, the time taken is approximately 2 minutes longer

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

I need help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B. 0.25x² + 0.8x - 8 = 0

C. 5x² + 7x = 15

Step-by-step explanation:

Let's try by solving all equations;

(x + 3)² = 36

x² + 3² = 36

x² + 9 = 36

x² = 36 - 9

x² = 27

x = √27

x ≈ 5.2

No quadratic

What about others

0.25x² + 0.8x - 8 = 0

Hmm.... that can only be solved by quadratic

[tex] \sf { \fbox{0.25x² + 0.8x - 8 = 0} \: can \: only \: be \: solved \: by \: quadratic}[/tex]

Also, 5x² + 7x = 15

[tex] \sf { \fbox{5x² + 7x = 15} \: can \: only \: be \: solved \: by \: quadratic}[/tex]

(x + 8)(x + 9) = 0

x² + 9x + 8x + 72 = 0

x² + 17x + 72 = 0

(x + 8)(x + 9) = 0

Not truly quadratic but can be solved with quadratic.

That leaves us with only B and C as the answer

How many times more powerful were the seismic waves of the Belair earthquake than standard seismic waves?

Answers

The seismic waves from the earthquake in Caracas were 12589.25 times stronger than typical seismic waves.

How do seismic waves work?

Seismic waves are acoustic energy waves that passes through the Earth. It can be brought on by massive landslides, volcanic eruptions, magma movement, earthquakes, and artificial explosions that discharge a lot of low-frequency acoustic energy.

By using formula for, M= log(w/w_0), we can find:

10^M= w/w_0, it means 10^M.w_0, = w

but M=4.1, so 10^4.1 = 12589.25

To know more about standard seismic waves, visit:

https://brainly.com/question/2142542

#SPJ1

Oak Creek Company is preparing its master budget for 2020. Relevant data pertaining to its sales, production, and direct materials budget are as follows.
Sales: Sales for the year are expected to total 1 million units. Quarterly sales are 20%, 25%, 25% and 30% respectively. The price is expected to be at $40 per unit for the first three quarters and $45 per unit beginning in the fourth quarter. Sales in the first quarter of 2021 are expected to be at 10% higher than the budgeted sales for the first quarter of 2020.
Production: Management desires to maintain the ending finishing goods inventories at 20% of the next quarter’s budgeted sales volume.
Direct materials: Each unit requires 2kg of raw materials at a cost of $10 per kilogram, Management desires to maintain raw materials inventories at 10% of the next quarter’s production requirement for the first quarter of 2020 are 500,000kg.
Prepare the sales, production, and direct materials budgets by quarters for 2020.

Answers

Sales Budget:

Q1:
Sales = 1,000,000 x 20% = 200,000 units
Revenue = 200,000 x $40 = $8,000,000

Q2:
Sales = 1,000,000 x 25% = 250,000 units
Revenue = 250,000 x $40 = $10,000,000

Q3:
Sales = 1,000,000 x 25% = 250,000 units
Revenue = 250,000 x $40 = $10,000,000

Q4:
Sales = 1,000,000 x 30% = 300,000 units
Revenue = (250,000 x $40) + (50,000 x $45) = $10,750,000

Total Revenue = $38,750,000

Production Budget:

Q1:
Production = 200,000 / (1 - 0.2) = 250,000 units
Raw Materials Required = 250,000 x 2 kg = 500,000 kg

Q2:
Production = 250,000 / (1 - 0.2) = 312,500 units
Raw Materials Required = 312,500 x 2 kg = 625,000 kg

Q3:
Production = 250,000 / (1 - 0.2) = 312,500 units
Raw Materials Required = 312,500 x 2 kg = 625,000 kg

Q4:
Production = 300,000 / (1 - 0.2) = 375,000 units
Raw Materials Required = 375,000 x 2 kg = 750,000 kg

Raw Materials Budget:

Q1:
Raw Materials Required = 500,000 kg
Add: Desired ending inventory = 10% x 625,000 kg = 62,500 kg
Total Raw Materials Required = 562,500 kg
Less: Beginning inventory = 10% x 500,000 kg = 50,000 kg
Raw Materials to be Purchased = 512,500 kg x $10/kg = $5,125,000

Q2:
Raw Materials Required = 625,000 kg
Add: Desired ending inventory = 10% x 625,000 kg = 62,500 kg
Total Raw Materials Required = 687,500 kg
Less: Beginning inventory = 10% x 562,500 kg = 56,250 kg
Raw Materials to be Purchased = 631,250 kg x $10/kg = $6,312,500

Q3:
Raw Materials Required = 625,000 kg
Add: Desired ending inventory = 10% x 625,000 kg = 62,500 kg
Total Raw Materials Required = 687,500 kg
Less: Beginning inventory = 10% x 687,500 kg = 68,750 kg
Raw Materials to be Purchased = 618,750 kg x $10/kg = $6,187,500

Q4:
Raw Materials Required = 750,000 kg
Add: Desired ending inventory = 10% x 750,000 kg = 75,000 kg
Total Raw Materials Required = 825,000 kg
Less: Beginning inventory = 10% x 687,500 kg = 68,750 kg
Raw Materials to be Purchased = 756,250 kg x $10/kg = $7,562,500

Therefore, the sales, production, and direct materials budgets by quarters for 2020 are as follows:

Sales Budget:
Q1: $8,000,000
Q2: $10,000,000
Q3: $10,000,000
Q4: $10,750,000

Production Budget:
Q1: 250,000 units
Q2: 312,500 units
Q3: 312,500 units
Q4: 375,000 units

Raw Materials Budget:
Q1: $5,125,000
Q2: $6,312,500
Q3: $6,187,500
Q4: $7,562,500

Answer this question please

Answers

Shape P could have been transformed using a translation, rotation, reflection or a combination of these transformations.

What is tranformations?

Transformation in maths is a way of changing the position, size or shape of a given object. It involves moving the object from one position to another. This can be done using a combination of translation, rotation, reflection and enlargement.

A translation is when a shape is moved in a straight line and all points are moved the same distance in the same direction. A rotation is when a shape is rotated around a fixed point and all points are moved the same angle. A reflection is when a shape is flipped over a line and all points are reversed on the other side of the line.

In the case of Shape P, since one point was invariant, the transformation must have been either a translation, rotation or a combination of both. A translation would have been impossible as all points are moved the same amount and direction, hence, the invariant point would have been moved. A rotation is possible as all points are moved the same angle, and the angle of rotation could be adjusted to keep the invariant point in the same place. A combination of both of these transformations could also have been used to keep one point invariant.

Overall, Shape P could have been transformed using a translation, rotation, reflection or a combination of these transformations. In this case, the transformation must have been either rotation or a combination of both translation and rotation. The angle of rotation or the combination of translation and rotation would have been adjusted to keep the invariant point in the same place.

For more questions related to enlargement

https://brainly.com/question/22973053

#SPJ9

What is the missing measure of the missing angle 59 86?

Answers

The missing measure of the angle on the triangle will be 45°.

How to calculate the angle

An angle is the measure of the space between two intersecting lines or planes. It is usually measured in degrees or radians. A degree is a unit of measurement for angles, where a full circle is 360 degrees, while a radian is a unit of measurement for angles defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle.

Angles can be acute (less than 90 degrees), right (exactly 90 degrees), obtuse (more than 90 degrees and less than 180 degrees), or straight (exactly 180 degrees).

The missing angle will be:

= 180° - (76° + 59°)

= 180° - 145°

= 35°

Learn more about angle on

https://brainly.com/question/25716982

#SPJ1

10.3 Surface Area of Triangular Prisms.
Please help with these 6 answers in photo

Answers

The letter of the 3D figure which matches the statement of the student with regards to the surface areas of the figures are;

The net of this triangular prism covers the smallest total surface area; B

The lateral surface area is 96.6 unit²; C

The total surface area is 111.6 units²; C

The lateral surface area is 85.56 unit²; A

The total surface area is 103.96 unit²; A

The net of this triangular prism covers the largest lateral surface area; C

What is the surface area of a 3D figure?

The surface area of a three dimensional, (3D), figure is the area of the boundary surface that surrounds the space occupied by the figure.

The surface areas and the lateral surface areas of the nets and the prisms are presented as follows;

Figure A;

Surface area = 2×(1/2)×4.6×4 + 3×6.2×4.6 = 103.96

The lateral surface area = 3×6.2×4.6 = 85.56

Figure B;

Surface area = 2×(1/2)×4×3.8 + 2×4.3×6 + 4×6 = 90.8

The lateral surface area = 2×4.3×6 + 4×6 = 75.6

Figure C;

Surface area = 2×(1/2)×5×3 + 5×7 + 3×7 + 5.8×7 = 111.6

The lateral surface area = 5×7 + 3×7 + 5.8×7 = 96.6

Therefore;

The net of the triangular prism in Figure B covers the smallest surface areaFigure C has a lateral surface area of 96.6The total surface area of Figure C is 111.6 unit²The lateral surface area of Figure A is 85.56 unit²The total surface area of Figure A is 103.96 unit²The triangular prism with the largest surface area is Figure C with a surface area of 111.6 unit²

Learn more on the surface area of a prism here: https://brainly.com/question/16421693

#SPJ1

Other Questions
4. The Reichstag Fire and explosion on the Japanese Manchurian railway are both described aslikely "false flag" events. Describe what a "false flag" is and how it is used. Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100$100dollar sign, 100 in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira Volcanic Cone, which is 300030003000 meters above the base of the mountain, is$400$400dollar sign, 400.Let yyy represent the total fee (in dollars) of a trip where they climbed xxx vertical meters.Complete the equation for the relationship between the total fee and vertical distance.y= The length of time, in minutes, for an airplane to obtain clearance for takeoff at a certain airport is a random variable Y=3X2, where X has the density function f(x) = e^x/4, for x > 0, f(x) = 0, elsewhere. Find the mean and variance of the random variable Y. PLEASE HELPPP MEEEEEEEE 1. In the political cartoon, Roosevelt is 2. Roosevelt is killing the bad trusts and keeping the good trusts because . How have people used art to commemorate events in their lives throughout history? Show examples of images and elaborate on artist style and presentation of depicting the event. the illusion of the ames room works because the illusion of the ames room works because conflicting occlusion cues make a depth determination ambiguous. size is computed from an incorrect estimate of distance. the conflict between texture gradient and convergence cues is incorrectly resolved. distance is inferred from an incorrect assumption about size. 4th amendment conflict Help me! I need help with my homework whats 18 divided by 800 solved Reread lines 110-148. Analyze the sequence of events that led from the tree planting of the Green Belt Movement to Kenya's transition to a stable, democratic society. How does the symbolic "tree of peace" connect these events? What is the answer to 5/8 3/4 in fraction form Find the value of x. David bought 200 shares of Oracle stock yesterday and sold it today. His profit was $22. 0. At what price did he buy the stock yesterday? 1.Which of the following correctly shows the stressed and unstressed syllables of the following sentence if the bold words are the stressed words. I like cake and pie.a- ~/~/~b- //~~c- */*/d- /~/~/2.Which of the following is not a characteristic of Romanticism?a-intuition over reasonb-belief in an unspoiled worldc-importance of reason and logicd-appreciation for the beauty of the world3.In which of the following situations is it not appropriate to use a hyphen?a-adverbs that end in lyb-compound adjectivesc-prefixesd-fractions4.Which of the following is not a way to set apart a nonrestrictive clause?a-I have three more hours of work to do-then I am done!b-The book, which was extremely boring, had a very sad ending.c-I go to the gym everyday (even though I don't want to.d-After attending her brother's baseball games- all twenty of them-Becca said she earned her ice cream.5.Which of the following is the correct way to use parentheses in a sentence?a-Myra and Sam went on vacation. (I was afraid they would never get away!)b-Myra and Sam went on vacation(I was afraid they would never get away!)c-Myra and Sam went on vacation. (I was afraid they would never get away)!d-Myra and Sam went on vacation. (I was afraid they would never get away )!6.Which of the following is not a characteristic of modernism?a-Irony and satire were often used.b-Emphasis was placed on mechanism and machine.c-Literature was represented by a clear structural pattern.d-A stream of consciousness form of poetry was common.7. What can be done to make the sentence less wordy?Maryanne is always hoping to be named class valedictoriana-Change the verb to the simplest, strongest verb form.b-Revise from passive to active voice.c-Omit phrases that tell what is about to be said.d-Remove prepositional phrases from the beginning of the sentenceThanks ! Sixteen cancer patients volunteer for a clinical trial. Six of the patients will receive a placebo and Ten will receive the trial drug. In how many different ways can the researchers select 10 patients to receive the trial drug from the total of 16? Alex has five cups of strawberries. He wants to use / cups of strawberries for a fruit salad and / cups for jam. Does Alex have enough strawberries to make both recipes? Solve this problem any way you choose. What is consonance?the repetition of vowel sounds in nearby wordsthe repetition of consonant sounds in nearby wordsthe repetition of consonant sounds at the beginning of nearby wordsthe repetition of vowel sounds at the beginning of nearby words The Lunch Counter is expanding and expects operating cash flows of $49,500 a year for nine years as a result. This expansion requires $36,500 In new fixed assets. These assets will be worthless at the end of the project. In addition, the project requires $2. 200 of net working capital throughout the life of the project. What is the net present value of this expansion project at a required rate of return of 15. 6 percent? A. $194. 736. 05 B. $201. 33. 33 C. $192. 536. 05 D. $188. 569. 91 E. $19,313,281 Algebra 1 T.16 Compare linear functions: tables, graphs, and equations GD7 Function A and Function B are linear functions. -10 -8 -6 Function A 104X Which statement is true? 6 2 02 -4 6 -8 -10 2 4 6 8 10 Function B X -1 6 9 The slope of Function A is greater than the slope of Function B. The slope of Function A is less than the slope of Function B. -3 11 17 Video O Qu an 00 Sma out c