Answer:
xy=10
Step-by-step explanation:
Vary inversely means x and y have a constant product. The graph is not a straight line. We find the product from the given set of values a=2, b=5 to get ab=10. Therefore xy=10 is the equation.
PLEASE HELP!!!
What is the third quartile for this data set?
Answer:
38
Step-by-step explanation:
Using the five number summary it is 38 since it is 75 percent of the sample
You have the correct answer. Nice work
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Explanation:
If the values aren't sorted, then list them from smallest to largest. The values are already sorted for us, so we move onto the next step.
That next step is to find the median. The median is 29 because four values are smaller than it, and four values are larger than it. The value 29 is right in the middle. This value is in slot 5.
Next, split the data into two halves where L = {21,24,25,28} is the lower half and U = {35,37,39,42} is the upper half. As you can see, any value in set L is smaller than the median. While any value in set U is larger than the median.
The third quartile is the median of set U. We have four values in this set, so the median will be between slots 3 and 4 (between 37 and 39)
Average 37 and 39 to get (37+39)/2 = 38. We see that 38 is the midpoint of 37 and 39.
Therefore, the third quartile is 38.
In the diagram, how many circles are there for each square?
DA 1
Answer:
Where is the figure or picture
Possible values for the area A of the rectangle shown are 12 ≤ A ≤ 36. Write and solve a compound inequality to find the possible values of x. Are these values all viable in this situation?I really need help
Answer:
x can take any value and are viable in this situation if and only if it is a positive number
Step-by-step explanation:
We know that the area of a rectangle is given by:
A = x * y
So if we replace we have:
12 ≤ x * y ≤ 36
We divide by y, and we have:
12 / y ≤ x ≤ 36 / y
Which means that the value of x depends on y, that is to say if y is worth 1, the inequality would be:
12 ≤ x ≤ 36
In the event that y is equal to 2:
12/2 ≤ x ≤ 36/2
6 ≤ x ≤ 18
Which means, that depending on y, x can take any value and are viable in this situation if and only if it is a positive number.
The image of the function is missing, you can see it at the end of the answer.
For a rectangle of length L and width W, the area is given by:
A = L*W
We will find that the solution is: 3/2 ≤ x ≤ 11/2
Here we have:
L = 3
W = 2x + 1
Then the area equation is:
A = 3*(2x + 1) = 6x + 3
And we also have the inequality:
12 ≤ A ≤ 36
Replacing A with the equation we get:
12 ≤ 6x + 3 ≤ 36
Now we solve this for x:
12 - 3 ≤ 6x ≤ 36 - 3
9 ≤ 6x ≤ 33
Now we divide both sides by 6.
9/6 ≤ x ≤ 33/6
3/2 ≤ x ≤ 11/2
If you want to learn more, you can read:
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An insurance company models the number of warranty claims in a week on a particular product that has a Poisson distribution with mean 4. Each warranty claim results in a payment of 1 by the insurer. Calculate the expected total payment by the insurer on the warranty claims in a week.
Answer:
4 monetary units
Step-by-step explanation:
In a Poisson distribution, the expected value of the distribution is the same as the mean:
[tex]E(X)=\mu=4\ claims[/tex]
The expected number of warranty claims is 4.
Since each claim results in a payment of 1, the expected value paid by the insurer is:
[tex]E(V)=E(X)*V(X)\\E(V)=4*1 = 4[/tex]
The expected total payment on warranty claims is 4 monetary units.
A rectangle has an area of 524.4m2. One of the sides is 6.9m in length. Work out the perimeter of the rectangle. PLEASE ANSWER!!! SOON ASAP
Answer:
165.8 mSolution,
Area of rectangle= 524.4 m^2
Length(L)= 6.9 m
Breadth(B)=?
Now,
[tex]area = length \times breadth \\ or \: 524.4 = 6.9 \times b \\ or \: 524.4 = 6.9b \\ or \: b = \frac{524.4}{6.9} \\ b = 76 \: m[/tex]
Again,
Perimeter of rectangle:
[tex]2(l + b) \\ = 2(6.9 + 76) \\ = 2 \times 82.9 \\ = 165.8 \: m[/tex]
Hope this helps...
Good luck on your assignment.....
Answer:
The perimeter of the rectangle is 165.8cm
Step-by-step explanation:
Area of a rectangle = length × width
Area = 524.4m²
length = 6.9m
524.4 = 6.9 × width
width = 524.4 / 6.9
width = 76m
Perimeter of a rectangle =
2(length ) + 2(width)
length = 6.9m
width = 76m
Perimeter = 2( 6.9) + 2(76)
= 13.8 + 152
The final answer is
= 165.8cm
Hope this helps you
Grey’s Labs is testing a new growth inhibitor for a certain type of bacteria. The bacteria naturally grows exponentially at a rate of 4.7% each hour. The lab technicians know that the growth inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. The current sample contains 90 bacteria. Once a standard tube contains more than 270 bacteria, the sample will stop growing. So, to analyze the effect of the inhibitor over longer spans of time, the lab technicians move the bacteria to larger containers, essentially increasing the container size at a constant rate. This adaptation accommodates 100 more bacteria each hour. The research team wants to track the number of bacteria over time given these two conditions. Select the two inequalities they can use to model this situation.
P ≥ 90e^(0.047t)
P ≤ 270 + 100t
P ≤ 270 – 100t
P ≤ 0.047e^(90t)
P ≤ 90e^(0.047t)
Answer:
The two inequalities are;
P ≤ 90e^(0.047t)
P ≤ 270 + 100·t
Step-by-step explanation:
The parameters given for the testing of the new growth inhibitor are;
The growth rate of the bacteria = 4.7% exponentially
The growth inhibitor lowers the growth rate
The population of bacteria after time, t = P
The increase in the number of bacteria per unit time in the 100
The maximum number of bacteria in the standard tube = 270
Therefore, the number of bacteria after the first filling of the tube is P ≤ 270 + 100·t
The equation for exponential growth is [tex]A_0 e^{kt}[/tex]
Where:
A₀ = Initial population = 90
k = Percentage growth rate as percentage
t = Time
The equation for the population of bacteria under the influence of the inhibitor is therefore;
P ≤ [tex]90 \times e^{0.047 \cdot t}[/tex] which is P ≤ 90e^(0.047t).
Answer:
P≤270+100t
P≤90e^(0.047t)
How many positive integers of 3 digits each can be formed with the digits 1, 8, 9, 2, 7, 6, 4, and 3, if no digit is repeated in a number? 1. 27 2. 512 3. 336
Answer:
3. [tex]336[/tex]
Step-by-step explanation:
To do this, we will use a premutation. Each number represents the possible choices per digit, respectively.
So, our product will be 8 (total choices) times 7 (total choices not including the already chosen one) times 6 (same story as previous). Multiplying this out will give us 336.
So, the answer is number 3.
Answer:
C. 336
Step-by-step explanation:
Guys, anyone pls help me..
Answer:
formula of circumference =p=theater÷360×2×pie×r
Step-by-step explanation:
so its a right angle.so =90%
the answer is 15.70
round off.=16cm
Answer:
Step-by-step explanation:
1. ON^2=10^2-8^2=100-64=36
ON=V36=6 cm
MON=MO+ON=10+6=16 cm
2. MO=ON=V13^2=12^2=V169-144=V25=5cm
MON=MO=ON=5+5 =10cm
Please answer it now in two minutes
Answer:
8sqrt(3)
Step-by-step explanation:
30-60-90 truangle ratio of lengths of sides:
1 : sqrt(3) : 2
24/d = sqrt(3)/1
d * sqrt(3) = 24
d = 24/sqrt(3)
d = 24/sqrt(3) * sqrt(3)/sqrt(3)
d = 24sqrt(3)/3
d =
Complete the table of values below: x -3 -2 -1 0 1 2 3 How the graph relates to y=2x y=2x Answer Answer Answer Answer Answer Answer Answer Not applicable y=-2x Answer Answer Answer Answer Answer Answer Answer multiplied by Answer y=(3)(2x)
Answer:
The values of x are:
x : -3, -2, -1, 0, 1, 2, 3
Let's solve each by putting each value of x into each equation:
a [tex]y = 2^x[/tex]
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b. [tex]y = -2^x[/tex]
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c. [tex]y = (3)(2^x)[/tex]
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Input these values into the table.
Answer:
a y = 2^x
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b. y = -2^x
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c. y = (3)(2^x)
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Step-by-step explanation:
Which value for R in the table would most likely indicate an association between the conditional variables? 0.09 0.10 0.13 0.79
Answer:
0.79
Step-by-step explanation:
This value is the most opposite of the value above R, meaning that there is an association between the variables.
Answer:
.79
Step-by-step explanation:
Bc y not
A football field is a rectangle 48m wide and 91m long. The coach asks players to run diagonally across the field. How far did the players run?
Answer:
102.88 m
Step-by-step explanation:
Pythagorean Theorem:
a²+b²=c²
48²+91²=c²
2304+8281=10585
c²=10585
Square both sides
c= 102.88
How far the players ran:
102.88 m
Work out the surface area of this triangular prism
Answer:
1008 [tex]cm^2[/tex]
Step-by-step explanation:
Given:
Triangular prism with
Base of triangle = 5 + 9 = 14 cm
Height of triangle = 12 cm
Here, we have 3 faces of the prism as a rectangle, all have width = 20 cm
Lengths of faces = 13cm ,14cm and 15 cm respectively
To find:
Total surface area = ?
Solution:
3 faces are rectangular shape and 2 faces are triangular shape.
[tex]Area\ of\ rectangle = Length \times Width[/tex]
The formula for Total Surface Area of a triangular prism is given as:
[tex]TSA = 2 \times \text{Area of triangular base}+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 2 \times \dfrac{1}{2}\times Base \times Height+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 14 \times 12 + 15 \times 20+ 13 \times 20+ 14 \times 20\\\Rightarrow TSA = 168 + 840\\\Rightarrow TSA = 1008\ cm^2[/tex]
So, the total surface area of the given triangular prism is 1008 [tex]cm^2[/tex].
Find the value of x in the following
a) x:2 = 10:4 b) 3:x= 6:8
Answer:
a) x = 5
b) x = 4
Step-by-step explanation:
a) x:2 = 10:4
Product of extremes = Product of means
=> x*4 = 10*2
=> 4x = 20
Dividing both sides by 4
=> x = 5
b) 3:x = 6:8
Product of extremes = Product of Means
=> 3*8 = 6*x
=> 24 = 6x
Dividing both sides by 6
=> x = 4
Answer:
a. X= 5b. X= 4Solution,
[tex]a. \: \: \frac{x}{2} = \frac{10}{4} \\ \: \: or \: x \times 4 = 10 \times 2 \: ( \: cross \: multiplication) \\ \: \: or \: 4x = 20 \\ or \:x = \frac{20}{4} \\ \: \: \: x = 5[/tex]
[tex]b. \: \frac{3}{x} = \frac{6}{8} \\ or \: 6 \times x = 3 \times 8 \: ( \: cross \: multiplication) \\ or \: 6x = 24 \\ \: or \: x = \frac{24}{6} \\ x = 4[/tex]
Hope this helps...
Good luck on your assignment
i need helppppppppppppp
Answer:
x=70
z=20
y=30
Step-by-step explanation:
first find x: the sum of straight angle is 180
x+110=180
x=180-110=70
now find z: the sum of the angles of triangle is 180:
x=70, right angle=90
z+70+90=180
find y:
y+110+40=180
y=180-150=30
z=180-160=20
Answer:
x=70 degrees, y= 30 degrees, z=20 degrees
Step-by-step explanation:
110+x=180 => straight angle def.
180-110+40=y => def. of angles in triangle
x( 70 degrees) +90+z=180, z= 20 => angles in triangle
HELP PLEASE I WILL GIVE 13 POINTS
Answer:
this difference indicates that the results are independent but not reliable.
Determine the measure of the interior angle at vertex D.
Answer:
162°
Step-by-step explanation:
This is a hexagon, so the sum of the angle measures will be 720°
Add up the measures
40x=720
Divide
X=18
Multiply by 9 to find angle of D
9*18=162
The measure of the interior angle at vertex D is 162°. Hence, option B. is the right choice.
What are polygons?Polygons are closed plane figures formed by the intersection of 3 or more non-collinear line segments.
What is the sum of all interior angles of a polygon?The sum of interior angles of an n side polygon = (n-2)180°.
How do we solve the given question?We are given a 6 side polygon ABCDEF.
∴ n = 2.
The sum of interior angles of polygon ABCDEF = (6-2)180° = 4*180° = 720°.
The angles are 2x, 9x, 2x, 9x, 9x, and 9x.
Their sum = 2x + 9x + 2x + 9x + 9x + 9x = 40x.
This sum = The obtained sum
or, 40x = 720°
or, x = 720°/40 = 18°.
∴ Interior angle at vertex D = 9x = 9*18° = 162°. Hence, option B. is the right choice.
Learn more about Polygons at
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A car rental charge is $100 plus $5.00 per mile traveled. Create an equation for the situation above.
According to a nutrition coach, a 100 kg person should eat
0.07 kg of protein. What percent of a person's body weight should they eat
in protein? (round to 2 decimal places) *
Answer:
0.07%
Step-by-step explanation:
This equation is solving for what percentage of 100 kg is 0.07 kg.
1. Set up the equation
[tex]\frac{0.07}{100}[/tex] = [tex]\frac{x}{100}[/tex]
0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.
2. Solve by cross multiplying
100x = 7
3. Solve for x by dividing both sides by 100
x = 0.07
The answer is 0.07%
The probability that you roll a two on a six-sided die is 16. If you roll the die 60 times, how many twos can you expect to roll?
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
A.
Step-by-step explanation:
The equation is ax^2 + bx + c = 0.
a = -1, and b = 1.
-1x^2 + 1x + c = 0
-x^2 + x + c = 0
Hope this helps!
PLEASE HELP! ! ! PLEASEEE!!
Answer:
4^2
Step-by-step explanation:
4^4 times 4^3 is equal to 4^7 since you just add the exponents. Then, when dividing, you subtract the exponents, so 4^7/4^5 is 4^2. I hope this is helpful!
Answer:
the answer is
Step-by-step explanation:
4 to the power of 2
you add 4 and 3 which is 7
and 7 subtract 5 which is
4 to the power of 2
Can someone please help me I really need help please help me thank you
Hey there! :)
Answer:
SA = 144 cm².
Step-by-step explanation:
Find the surface area by calculating the areas of each of the lateral sides and bases:
In this instance, the bases are triangles, so the formula A = 1/2(bh) will be used:
Bases:
A = 1/2(bh)
A = 1/2(4·3)
A = 1/2(12)
A = 6 cm².
There are two bases, so:
6 × 2 = 12 cm²
Find the areas of the lateral sides using A = l × w:
5 × 11 = 55 cm²
4 × 11 = 44 cm²
3 × 11 = 33 cm²
Add up all of the areas:
12 + 55 + 44 + 33 = 144 cm².
Answer:
144 cm^2
Step-by-step explanation:
So, first find the area of the triangle. To find that you need to use the formula A = bh ÷ 2 (Area = base x height ÷ 2)
A = (4)(3) ÷ 2
A of triangle = 6
Since there are 2 triangles, you need to multiply the area by 2, which equals 12.
To find the area of the rectangles, you need to use the formula A = lw (Area = length x width)
For the first rectangle,
A = 11 x 5
A = 55
For the second rectangle,
A = 4 x 11
A = 44
For the third rectangle,
A = 3 x 11
A = 33
Now, you need to add the areas of the triangles and rectangles together to get your surface area.
12 + 55 + 44 + 33 = 144cm^2
So, the surface area of the triangular prism is 144 cm^2.
A quadrilateral has its interior angles X, 47, 95, 82. Find
the value of x
Answer:
x = 136
Step-by-step explanation:
A quadrilateral always has angles that sum to 360. Thus, 47 + 95 + 82 + x = 360. Subtract 47, 95, and 82 from each side and get x = 136.
Hope it helps <3
Which statement could the expression n + 1 represent? one point greater than the last test grade the difference of Gina's score and one the total cost less one dollar one minute less than Mickey's previous time
Answer:
A. One point greater than the last test grade.
Step-by-step explanation:
One point greater than the last test grade can be written as an expression:n + 1
The difference of Gina’s score and one can be written as an expression:
n - 1
The total cost less one dollar can be written as an expression: n - 1
One minute less than Mickey’s previous time can be written as an expression: n - 1
Answer:
Step-by-step explanation:
its A
I need this ASAP! When David was asked how old he was, he said: "I'm three times younger than my dad, but twice as old as Rebecca." Then little Rebecca ran up to him and declared "I am 30 years younger than my dad." How old is David?
Answer:
David is 12 years old.
Step-by-step explanation:
Let r = Rebecca's age
Let d = David's age
let p = Dad's age
David is 3 times as younger than his dad:
d = [tex]\frac{p}{3}[/tex]
David is 2 times older than Rebecca:
d = 2r
Rebecca is 30 years younger than the dad:
r = p-30
All three equations can be solved by a system
2r = [tex]\frac{p}{3}[/tex]
r = p-30
multiplying r = p-30 by negative 2 and adding it to 2r = [tex]\frac{p}{3}[/tex]
0 = (-2p + p/3) + 60
multiplying new equation by 3
0 = (-6p + p) + 180
5p = 180
p = 36
d = 36/3 = 12
Si incrementa 35% los precio de un restaurante.Si un salmón a la mostaza lo vendía en 28,50 y un pollo al curry en 32,80¿cuales serán los nuevos precios de estos platos?¿cual sera el monto neto que recibirá por plato sin incluir el 18%de igv?
Answer:
Los nuevos precios serán 38.50 por el salmón y 44.30 por el pollo.
El monto neto recibido será 31.57 por el salmón y 36.32 por el pollo.
Step-by-step explanation:
Para resolver este problema primero debemos calcular el 35% del precio de ambos platos para saber cuánto se incrementará su precio.
Salmón a la mostaza:
Precio anterior: 28.50
El 35% de 28.50 es (28.50)(.35) =9.975
Precio nuevo = 28.50 + 9.975 = 38.475 = 38.50
Pollo al curry
Precio anterior: 32.80
El 35% de 32.80 es (32.80)(.35) = 11.48
Precio nuevo = 32.80 + 11.48 = 44.28 = 44.30
Ahora, para calcular el monto neto que recibirá por plato sin incluir el 18% de IGV tenemos que calcular el 82% del precio de cada plato (pues 100 - 18 = 82) y este será el monto neto que se recibirá.
Salmón a la mostaza.
Precio nuevo: 38.50
El 82% de 38.50 es (38.50) (.82) = 31.57
Se recibirá 31.57 por el Salmón a la mostaza.
Pollo al curry
Precio nuevo: 44.30
El 82% de 44.30 es (44.30) (.82) =36.32
Se recibirá 36.32 por el Pollo al curry.
For a trapezoid, the midsegment is one-half of...
a) the opposing leg
b) the square of the largest leg
c) the same as the smallest leg.
d)the sum of the bases
Answer:
D
Step-by-step explanation:
Mathematically, the mid segment of a trapezoid is exactly the average of the 2 parallel bases
What this means is that to find the length of the trapezoid, we will need to find the average of the two parallel bases
Mathematically, this is same as adding the two bases and dividing the result by 2.
Hence we can say it is exactly one-half the length of the sum of the two parallel bases
in a town, 11 000 people out of the total population of 50 000 are aged under 18. What percentage of the population is aged under 18 ?
Answer:
22%
Step-by-step explanation:
1- 11000/50000 = 0.22
2- 0.22 x 100 = 22%
.. ..
When you make an electronic payment from your checking account, the bank __________ identifies the bank where you have an account. A:Withdrawal number b:Deposit number c:Certified number d:Routing number
Answer:
d: Routing number
Step-by-step explanation:
To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.