The wait times on a computer help line average 4.2 minutes. The standard deviation is 1.3 minutes. Sketch the normal curve showing the wait times at one, two, and three standard deviations from the mean.

Answer:

The volume of a sphere of radius r is:

S = (4/3)*pi*r^3

The volume of a cylinder of radius r and height h is:

C = pi*r^2*h

For this problem the height of the cylinders will be equal to the diameter of the spheres, which is equal to two times the radius.

First, let's use the radius: r = 2.

The volume of the sphere will be:

S = (4/3)*3.14*(2)^3 = 33.49

The volume of the cylinder, where h = 2*2 = 4, is:

C = 3.14*(2^2)*4 = 50.24

Now, let's choose the radius r = 3.

The volume of the sphere will be:

S = (4/3)*3.14*3^3 = 113.04

The volume of a cylinder with this radius and h = 3*2 = 6, is:

C = 3.14*(3^2)*6 = 169.56

Answer:

1 / 2

Step-by-step explanation:

Total # of marbles in the bag = 30

Total # of blue marbles in the bag = 15

Probability of pulling a blue marble = # of blue /  total # of marbles

Probability = 15 / 30

Simplify = 1 / 2

Answer:

0

Step-by-step explanation:

y=mx+b

m=0

Answer:

The slope is -3/2 and the y-intercept is 7.

Step-by-step explanation:

hope this helps

Answer:

Find the slope from a graph

Locate two points on the line whose coordinates are integers.

Starting with the point on the left, sketch a right triangle, going from the first point to the second point.

Count the rise and the run on the legs of the triangle.

Take the ratio of rise over run to find the slope. m = rise / run.

Answer:

nis maigeo/a

Step-by-step explanation:

Answer:

118%

Step-by-step explanation:

550 grams and 300+350 grams = 650 grams

650/550 grams x 100 = 118.18

So 118.18 % rounded is 118%

Hope this helps plz hit the crown :D

Answer:

The kitten has gained a 218% more weight since the first visit to the vet.

Step-by-step explanation:

In order to get the percentage the kitten has gained you have to add all the weight together and divide the first visit by the total weight.

TO find the total weight is found by adding all the weights together:

550 + 350 + 300 = 1200

now we divide 1200 by 550 to get a decimal which allows us to find the percentage:

1200 / 550 = 2.18181818182

now we multiply 0.45833333333 by 100 to turn the decimal to a percentage:

2.18181818182 * 100 = 218.181818182%

Now we round up to the nearest percentage which is:

218.181818182% = 218%

Answer:

w=2

Step-by-step explanation:

Simplifying

4w + -9(6 + -5w) = 44

4w + (6 * -9 + -5w * -9) = 44

4w + (-54 + 45w) = 44

Reorder the terms:

-54 + 4w + 45w = 44

Combine like terms: 4w + 45w = 49w

-54 + 49w = 44

Solving

-54 + 49w = 44

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '54' to each side of the equation.

-54 + 54 + 49w = 44 + 54

Combine like terms: -54 + 54 = 0

0 + 49w = 44 + 54

49w = 44 + 54

Combine like terms: 44 + 54 = 98

49w = 98

Divide each side by '49'.

w = 2

Simplifying

w = 2

Answer:

w has multiple forms

exact w = 53/5

decimal w = 10.6

mixed number w = 10 3/5

5 x 53/5 - 9 = 44

Answer:

X=4

Step-by-step explanation:

In the equation, you have to subtract 5 from both sides.

4x + 5 = 21

     -5      -5

4x=16

Then you gotta get rid of the X so divide the 4 from both sides. That gets you X=4

Answer:

x=4

Step-by-step explanation:

21-5=16

16/4=4

Answer:

D. 4.5

Step-by-step explanation:

brainest plz

Answer:

Option D

Step-by-step explanation:

17). Area of a sector of a circle = [tex]\frac{\theta}{360}(\text{Area of the circle})[/tex]

                                                  = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]

     Here 'r' = radius of the circle

     From the picture attached,

     r = 10 ft

     θ = 300°

    Area of the sector = [tex]\frac{300}{360}[\pi (10)^{2}][/tex]

                                    = [tex]\frac{5}{6}(100\pi )[/tex]

                                    = [tex]\frac{250\pi}{3}[/tex]

    Area of the sector = [tex]\frac{250\pi}{3}[/tex] ft²

   Therefore, Option (D) will be the correct option.

Answer:

area of greater arc/sector=300/360 ×πr²=5/6 ×π10²=250π/3 ft²

Question options:

The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.

We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river

Answer:

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river

Explanation:

Formula to calculate standard deviation = √p(1-p)/n

Given p= population proportion

n= sample size

From the question,

We are given p(population proportion of catfish in the river)= 0.47

n(sample size of fish collected from river) = 25

The standard deviation using the formula above = √0.47(1-0.47)/25

= 0.0998

The 10% condition demands that a sample size be not less than 10% of the population

To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,

10% of 250= 0.10×250=25 fish

Therefore the option B chosen is correct

Answer: (4,2)

Step-by-step explanation:

The solution would be where the two lines intersect which is the point (4,2)

Answer:

(4,2)

Step-by-step explanation:

(x=4, y=2)

the solution is the point of intersection of the graph

a.(answer):

Y represents table spoons in oil and the X represents the table spoons in vinegar.

b.(answer):

oil needed is one(1) tablespoon the amount of vinegar used is 1.5 tablespoons to make the salad dressing the correct and for it to be proportional.

linear equation

y = 3/2x

c.(answer)

For every 1 tablespoon of vinegar there is 1.5 table spoons of oil X=1,Y=1.5.

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Answer:

Step-by-step explanation:

If you look at Desmos you will see that when you put in the (x,y) coordinates in the x,y positions in your inequality that lines your plot and the shaded areas are different. If you put in each of the coordinates in the inequality you will see all the differenences between the shaded and the lines. I would do that in Desmos and you should be able to figure it out. There is an example picture below.

I hope this helps!

If you have any questions or need any help, please ask.

Answer:

220

Step-by-step explanation:

The new circumference of the circle will be 220 feet if the circumference of a circular lawn is 110 feet.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

The circumference of a circular lawn is 110 feet.

2πr = 110

r = 55/π

Double the radius:

R = 2r= 110/π

New circumference = 2πR = 2π(110/π) = 220 feet

Thus, the new circumference of the circle will be 220 feet if the circumference of a circular lawn is 110 feet.

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Answer:

2*2*2*3*3*7

Step-by-step explanation:

prime facotrization = 2^3 x 3^2 x 7^1

2 x 2 x 2 x 3 x 3 x 7 = 504

Answer:

what is that

Step-by-step explanation:

me cant see

Answer:

y = 4x

Step-by-step explanation:

You were close, its positive 4 rather than negative 4.

Answer:

Kathy's daughter is 8 years old

Step-by-step explanation:

What we know:

Kathy is 33 years old.

That is 7 years younger than 5 times her daughter's age.

With that, the equation 5x - 7 = 33 can be used to find x.

Step 1:

Move "- 7" to the right side of the equation, and find the opposite of it.

5x = 33 + 7

Step 2:

Add "33" and "+7" to get "40."

5x = 40

Step 3:

Divide both side by "5."

5x/5 = 40/5

x = 8

Thus, Kathy's daughter is 8 years old.

Answer:

8

Step-by-step explanation:

Answer:

I think it's 79

Step-by-step explanation:

.... Hi don't be mad if you get wrong

Answer:

80 - 16 ÷ 8   80 - 2= 78

Step-by-step explanation:

Answer:

11902

Step-by-step explanation:

mean=x=60

replace x with 60

y=-7628+325.5(60)

y=11902

Answer:

mid point of circle⭕ is a answer

Answer:

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

Step-by-step explanation:

This is equal to [tex]\sqrt[3]{8} * \sqrt[3]{2} = 2\sqrt[3]{2}[/tex]

Answer:

She needs to order 6 pizzas.

Step-by-step explanation:

(My bad I thought it was one pizza that fed 4 people not two)

Answer:

6 pizzas

Step-by-step explanation:

2pizza=4 people

12/4=3

3*2=6

According to the graph, it is found that it represents the solution of the following system:

Option B [tex]x=\frac{9}{x}[/tex] is correct.

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

The equations in the system can be linear or non-linear.

In the graph, two equations intersect at [tex]x = -3[/tex] and at [tex]x = 3.[/tex]

One is a straight line, in which the x-coordinate is equals to the y-coordinate, thus it is the line [tex]y = x.[/tex]

The other is an exponential equation, that goes to 0 as x goes to infinity, so x is in the denominator. At [tex]x = -3, y = -3,[/tex] and at [tex]x = 3, y = -3.[/tex] Thus, the function that has this graph is [tex]\frac{9}{x}[/tex], which means that the correct option is:

B  [tex]x=\frac{9}{x}[/tex].

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Step-by-step explanation:

point c

..................

Step-by-step explanation:

-33 + -20 is -53. and I don't how