Answer:
B' = (-8, -1)
C' (-1, 1)
Step-by-step explanation:
In your question, we are given A which is translated -3 units on the X axis, and translated -5 units on the Y axis.
Using this translation on points B and C we get B' = (-8, -1) and C' (-1, 1).
B = (-5, 4)
-3, -5
B' = (-8, -1)
C = (2, 6)
-3, -5
C' = (-1, 1)
A line of best fit predicts that when x equals 33, y will equal 31.65, but y
actually equals 31. What is the residual in this case?
A. -0.65
B. 1.35
C. 0.65
D. 2
The height, h, in centimeters of a species of mammal that is t years old can be modeled by the equation below.
h = 37.8 (2.07+)³ + 78.6
What is the best interpretation of f (2.07€) ³2
A. the product of 2.07, the age of the mammal, and one-third
B. the product of the cube root of 2.07 and the age of the mammal
C. the product of 2.07 and the cube root of the age of the mammal
D. the cube root of the product of 2.07 and the age of the mammal
The best interpretation is the product of the cube root of 2.07 and the age of the mammal
How to interptete the equationh = 37.8 (2.07t)³ + 78.6
Now, let's analyze the term (2.07t)³:
2.07t: This term represents the product of 2.07 and the age of the mammal (t).(2.07t)³: This term cubes the product of 2.07 and the age of the mammal (t).Based on this analysis, the best interpretation of (2.07t)³ is:
B. the product of the cube root of 2.07 and the age of the mammal
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Out of 100 people sampled, 12 had kids. Based on this, construct a 95% confidence interval for the true population proportion of people with kids.
Give your answers as decimals, to three places
< p
The true population proportion of people with kids is between 0.0565 and 0.1835.
We are given that;
Number of people= 100
Percent= 95%
Now,
To construct a 95% confidence interval for the true population proportion of people with kids. Here are the steps to do so:
Find the sample proportion p. This is the ratio of the number of successes (people with kids) to the sample size. In this case, p = 12 / 100 = 0.12.
Find the z-value that corresponds to the 95% confidence level. You can use a table or a calculator to find this value. The z-value for a 95% confidence level is 1.96.
Find the standard error of the sample proportion. This is the standard deviation of the sampling distribution of p. You can use the formula √p (1-p) / n to find this value. In this case, the standard error is √0.12 (1-0.12) / 100 = 0.0324.
Plug these values into the formula for the confidence interval and simplify. You get:
Confidence interval = 0.12 +/- 1.96*0.0324 Confidence interval = 0.12 +/- 0.0635 Confidence interval = [0.0565, 0.1835]
Therefore, by proportions the answer will be 0.0565 and 0.1835.
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A building supply store is selling tiles with an area of 790 cm square Find the length of each side of the tile correct to 3 significant figures.
The length of each side of the tile with an area of 790 cm² correct to 3 significant figures is 28.1 cm.
What are significant figures?Significant figures are the digits in a number that give a reliable accuracy of the quantity of a measurement.
The significant figures do not include the zeros immediately after the decimal place but those that occur between other numbers are regarded as significant.
The area of a square tile = Length x Length
= 790 cm²
The length of each side = √790 = 28.1069
= 28.1 cm
Thus, we can conclude that the length of each side of the square tile is 28.1 cm.
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HELP ASAP PLEASE 10 points
A). spinning a spinner that has 5 equal sections marked 1 through 5 and landing on an even number
B). picking a diamond from a standard deck of playing cards which has 13 cards in each of four suits: spades, hearts, diamonds and clubs
(Information for the problem in the photo)
The probability of spinning an even number on the spinner is 40%.
The probability of picking a diamond from a standard deck of playing cards is 25%.
How to calculate the probabilityP(even) = number of even sections / total number of sections
= 2/5
= 0.4
= 40%
Therefore, the probability of spinning an even number on the spinner is 40%.
P(diamond) = number of diamonds / total number of cards
= 13/52
= 1/4
= 0.25
= 25%
Therefore, the probability of picking a diamond from a standard deck of playing cards is 25%.
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The sum of two consecutive numbers is
27. Find the two numbers.
Answer: 14 and 14
Step-by-step explanation:
So u would Since 13 and 14 are both consecutive integers and their sum is 27, we have our answer.
Layla works at a trampoline park. Last month, she earned $1,568 in gross income. Her net income was $1,338.79.
The amount of tax and deductions from the income is $229.21
Calculating the amount of tax and deductionsFrom the question, we have the following parameters that can be used in our computation:
Gross income = $1,568
Net income = 1,338.79
Using the above as a guide, we have the following:
Deductions = Gross income - net income
Substitute the known values in the above equation, so, we have the following representation
Deductions = $1,568 - 1,338.79
Evaluate the expression
So, we have
Deductions = $229.21
Hence, the amount of tax and deductions from the income is $229.21
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A rectangular prism has a length of 5 cm, a width of 212 cm, and a height of 112 cm.
Which expressions can be used to find the volume of the prism?
Select each correct answer.
Responses
5∙2 1/2∙1 1/2
12 1/2∙1 1/2
1 1/2(5+2 1/2)
1/2(12 1/2∙1 1/2)
farmer gibson has a heard of 200 cows he sold 60 cows what percentage of his heard remains? Please hurry I need it today!
To find the percentage of Farmer Gibson's herd that remains after he sold 60 cows, we need to calculate the new total number of cows he has.
Number of cows remaining = Total number of cows - Number of cows sold
Number of cows remaining = 200 - 60
Number of cows remaining = 140
So, Farmer Gibson has 140 cows remaining in his herd.
To find the percentage of cows remaining, we can use the following formula:
Percentage = (Number remaining ÷ Total number) x 100
Plugging in the values we have:
Percentage = (140 ÷ 200) x 100
Percentage = 0.7 x 100
Percentage = 70%
Therefore, Farmer Gibson has 70% of his herd remaining after selling 60 cows.
~~~Harsha~~~
The volume of a cube depends on the length of its sides. This can be written
in function notation as v(s). What is the best interpretation of ✓(2) = 8?
A. 2 sides of the cube have a total length of 8 feet.
B. A cube with side lengths of 2 feet has a volume of 8 cubic feet.
C. A cube with a volume of 2 cubic feet has side lengths of 8 feet.
OD. 2 of these cubes will have a total volume of 8 cubic feet.
Answer:
B. A cube with side lengths of 2 feet has a volume of 8 cubic feet.
v(s) = s^3, so v(3) = 2^3= 8
Round your answer to the nearest hundredth.
Answer:
∠ A ≈ 75.96°
Step-by-step explanation:
using the tangent ratio in the right triangle
tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then
∠ A = [tex]tan^{-1}[/tex] ( 4 ) ≈ 75.96° ( to the nearest hundredth )
For the system shown below, what are the coordinates of the solution that lies in quadrant I?
Write your answer in the form (a,b) without using spaces.
The coordinates of the solution that lies in quadrant I are
How to graphically solve this system of equations?In order to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;
x² + 4y² = 100 ......equation 1.
4y - x² = -20 ......equation 2.
In this exercise, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.
Based on the graph shown in the image attached below, we can logically deduce that the solution to this system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant I and it is given by the ordered pair (6, 4).
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500
9. A tennis ball manufacturer wants to estimate the mean circumference of tennis balls within 0.05 inch.
Assume the population of circumferences is normally distributed. Determine the minimum sample size
required to construct a 95% confidence interval for the population mean. Assume the population
standard deviation is 0.10 inch..
The minimum sample size required to construct a 95% confidence interval for the population mean is 16.
To determine the minimum sample size required to construct a 95% confidence interval for the population mean circumference of tennis balls within 0.05 inch, we need to use the formula for the margin of error:
Margin of error = Z* (σ/√n)
Where Z* is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.
Since we want a 95% confidence interval, Z* = 1.96 (from a standard normal distribution table).
We are given that σ = 0.10 inch and we want the margin of error to be 0.05 inch. Plugging in the values, we get:
0.05 = 1.96 * (0.10 / √n)
Solving for n, we get:
n = [(1.96 * 0.10) / 0.05]² = 15.36
We can't have a fractional sample size, so we round up to the nearest whole number. Therefore, the minimum sample size required is 16.
This means that the manufacturer needs to randomly select and measure the circumferences of at least 16 tennis balls to estimate the population mean circumference with 95% confidence and a margin of error of 0.05 inch.
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Brainliest and 20 points to whoever shows work the best
Using Pythagorean's theorem we can see that the variables are:
t = 13.86
w = 12.81
How to find the values of the variables?Remember that for any right triangle, Pythagorean's theorem says that the sum of the squares of the legs is equal to the square of the hypotenuse, where the hypotenuse is the side opposite to the 90° angle.
Then for the first triangle we can write:
t² + 8² = 16²
Solving for t:
t = √(16² - 8²) = 13.86
For the second triangle we have:
10² + 8² = w²
Solving for w:
w = √(10² + 8²)
w = 12.81
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draw a rectangular array with 3 rows and ___ columns
The rectangular shaped array with 3 rows and 4 columns is drawn
X X X X
X X X X
X X X X
Given data ,
Let the number of rows for the rectangle be r = 3
Let the number of columns for the rectangle be c = 4
So , when r = 3 and c = 4
X X X X
X X X X
X X X X
Hence , the rectangle shaped array is solved
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The coordinates of the point � G are ( 0 , 8 ) (0,8) and the coordinates of point � H are ( 8 , 8 ) . (8,8). What is the distance, in units, between the point � G and point � ? H?
The distance between the points G and H is D = 8 units
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be G ( 0 , 8 )
Let the second point be H ( 8 , 8 )
Now , let the distance between G and H be D , where
D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
D = √ ( 0 - 8 )² + ( 8 - 8 )²
D = √64 units
D = 8 units
Hence , the distance is 8 units
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VAN
Susan practices the piano for 30 minutes per day. Write an equation that represents the total number of minute
m, she practices the piano for t days.
The expression to represent the given situation is M =30t.
Let's use the variable M to represent Susan's overall piano practice time over the course of t days.
Given that Susan practices the piano for 30 minutes every day, the sum of her practice time over the course of t days is:
M = 30t
As a result, M = 30t is the equation that describes the total amount of time Susan spends practicing the piano over the course of t days.
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(10x-23) how do i find x with 106 as an arc
I'm assuming you mean "How do I find the value of x such that the arc length of the circle defined by (10x-23) is 106?" So, there are two possible values of x that would give a circle with arc length 106: x ≈ 2.71 and x ≈ 1.89.
To find the value of x such that the arc length of the circle defined by (10x-23) is 106, we can use the formula for the arc length of a circle:
Arc Length = θr
where θ is the central angle in radians, and r is the radius of the circle.
In this case, we know the arc length is 106, and we need to find the value of x such that the radius is defined by (10x-23). Let's call this radius r.
We can rearrange the formula to solve for the radius:
r = Arc Length / θ
We also know that the central angle in radians is equal to the arc length divided by the radius.
So we can write:
θ = Arc Length / r
Substituting in the values we have:
θ = 106 / (10x-23)
Now we can solve for x. We know that the central angle for a full circle is 2π radians, so the central angle for a circle with radius (10x-23) is:
θ = (2π)(10x-23)
Setting this equal to our previous expression for θ, we have:
106 / (10x-23) = (2π)(10x-23)
Solving for x:
106 = (2π)(10x-23)(10x-23)
106 = (2π)(100x^2 - 460x + 529)
53 = π(100x^2 - 460x + 529)
53/π = 100x^2 - 460x + 529
100x^2 - 460x + (529 - 53/π) = 0
We can solve this quadratic equation using the quadratic formula:
x = [460 ± sqrt(460^2 - 4(100)(529 - 53/π))] / (2(100))
x ≈ 2.71 or x ≈ 1.89
Therefore, there are two possible values of x that would give a circle with arc length 106: x ≈ 2.71 or x ≈ 1.89.
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please help I am bad at maths
a) The principal of the account is given as follows: 1238.27 euros.
b) The interest rate of the account is given as follows: 4.3%.
How to obtain the balance using simple interest?The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are listed and explained as follows:
A(t) is the final balance.P is the value of the initial deposit.r is the interest rate, as a decimal.t is the time in years.We can take the ratio between the balances two consecutive years to obtain the interest rate as follows:
r = 1569.4/1504.5 - 1
r = 1.0431 - 1
r = 0.043
r = 4.3%.
After 5 years, the balance was of 1504.50, hence the principal is obtained as follows:
1504.5 = P(1 + 0.043 x 5)
P = 1504.5/(1 + 0.043 x 5)
P = 1238.27 euros.
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Given a trapezoid with a height of 4.3 m and bases of 9.2 m and 3.2 m, what is the area of the trapezoid? Do not include units in your answer. Round your answer to the nearest tenth.
Answer:
26.5
Step-by-step explanation:
The formula for the area of a trapezoid is:
A = (1/2)h(b₁ + b₂)
where h is the height, b₁ and b₂ are the lengths of the parallel bases.
Substituting the given values:
A = (1/2)(4.3 m)(9.2 m + 3.2 m)
A = (1/2)(4.3 m)(12.4 m)
A = 26.52 m²
Rounding to the nearest tenth:
A ≈ 26.5
Therefore, the area of the trapezoid is approximately 26.5 square meters.
How many meters is in 270 centimeters
Answer:2.7
Step-by-step explanation:
Formula, divide the value in centimeters by 100 so 1 meter equals 100 centimeters
So 270 centimeters = 270/100 = 2.7
In the coordinate plane, the point A (-2, -4) is translated to the point A' (-3, -1). Under the same translation, the points B (0, -7) and C (-5, -8) are translated to B' and C', respectively. What are the coordinates of B' and C'?
Answer:
B' ( -1,-4)
C' (-6,-5)
Step-by-step explanation:
Take each point and move it one unit left and then 3 units up.
Helping in the name of Jesus.
10 points!
pls give explanation how you reached your answer!! question in the image
Answer: A
Step-by-step explanation: complementary is 180 that’s the angle is A. Supplementary is 90 so that’s incorrect.
A store is having a sale. Each item is on sale for 1/4 off the regular price, m. Which pair of equivalent expressions represent the sale price for any one item?
A. 0.75m and m-1/4
B. m-0.25 and m-1/4
C. 0.75m and m-1/4m
D. 0.75-m and m-1/4m
The pair of equivalent expressions that represent the sale price for any one item is 0.75m and m-1/4m. Option C
How to determine the pair of equivalent expressions that represent the sale price for any one itemThe sale price of an item is the regular price minus 1/4 of the regular price. This can be represented as:
sale price = regular price - (1/4)regular price
Simplifying this expression, we get:
sale price = (3/4)regular price
Therefore, the sale price for any one item can be represented as 0.75m, which is equivalent to option C.
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HELP ASAP PLEASE 20 POINTS!!!!!!
Answer:I’m not so sure but I’m pretty sure it’s the 4th one?
Step-by-step explanation:
Answer:
Option b
Step-by-step explanation:
For x=1, y=-0.5
For x=0, y=2
For x=1, y=-7/2
Graphing the equation on the coordinate plane we get the second graph.
.47/100+3/250=/1000+12/1000
Answer:is this actually a question!
Step-by-step explanation:
help me please i don’t understand
Answer:
Step-by-step explanation:
Quadratic form:
ax²+bx+c
>We are going to work backwards from getting an equation and then solving for the x's.
>From a graph, you are given your x's.
>Put those x's (x-intercepts) into factored form.
Red:
x = -7 >add 7 to both sides
x+7 = 0
x = -5 >add 5 to both sides
x+5=0
x+5 and x+7 are your factors
y= (x+5)(x+7) >FOIL
y=x²+7x+5x+35
y=x²+12x+35 for RED
Blue: follow same pattern as RED
x= -4 and x=-2
(x+4)=0 (x+2)=0
-(x+4)(x+2) There is a negative in front because this one is facing
down
-(x²+6x+8) FOILED and simplified, now distribut negative
y= -x²-6x-8 BLUE
Green:
x=-1 x=1
y=(x+1)(x-1) FOIL and simplify
y=x²-1 GREEN
Orange:
x= 2 x=4
-(x-2)(x-4)
-(x²-6x+8)
y= -x²+6x-8 ORANGE
Purple:
x=5 x=7
(x-5)(x-7)
y=x²-12x+35 PURPLE
A company wants to open a new store in a mall. They have a choice of three different locations. To decide which location would have the greatest number of people passing by, they select 20 different hours at random from all hours the mall is open during one week and count the number of people who pass by each location. Which of these best explains the validity of the sampling procedure used by the company?
A.
It is valid because the company applied the same procedure to all three locations and used random sampling to select the times to collect data.
B.
It is not valid because the company applied the same procedure to all three locations and used random sampling to select the times to collect data.
C.
It is valid because the company applied the same procedure to all three locations and used a method that is convenient for the survey takers.
D.
It is not valid because the company applied the same procedure to all three locations and used a method that is convenient for the survey takers.
The statement that explains the validity of the sampling procedure used by the company is the company applied the same procedure to all three locations and used random sampling to select the times to collect data. The Option A is correct.
Why is the sampling procedure used by the company valid?The procedure used is valid because they applied the same procedure to all three locations and used random sampling to select the times to collect data.
By using the random sampling, they ensured that they were selecting a representative sample of the entire population of mall visitors.
Also, by applying same procedure to all three locations, they ensured that they were collecting comparable data and this helps to increase the generalizability of their findings and make their decision-making process more reliable.
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What is - 8/9 divided by 2/3
Answer:
-4/3
Step-by-step explanation:
-1.33333333333 or -1 1/3
Let f(x) = g(h(x)) = (√2x+5)/2x. Find two sets of possible formulas for g(x)
and h(x), assuming that g(x) does not equal x and h(x) does not equal x. There may be more than one possible answer.