Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 10 men was 35 minutes per day. The standard deviation was 10 minutes per day. The mean listening time for a sample of 12 women was also 35 minutes, but the standard deviation of the sample was 12 minutes. At the 0.10 significance level, can we conclude that there is a difference in the variation in the listening times for men and women

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

k = xy

Putting values of x and y in the equation

k = (5)(-3.5)

= - 17.5

Finding value of x when y = 10

k = xy

- 17.5 = x10

Bringing like terms on one side

- 17.5 - 10 = x

-27.5 = x

Answer:

Step-by-step explanation:

Sphere

1.V≈113.1m³

V=4 /3πr3=4/ 3·π·33≈113.09734m³

Sphere

2.R =6cm

Volume of sphere = 4/3πr^3

4/3πr^3=288π

r^3=288*3/4

r^3=216

r=6cm

Cone

3.V≈314.16m³

V=πr^2h/ 3=π·52·12/ 3≈314.15927m³

Cone

4. h≈2.55m

Using the formula

V=πr^2h/ 3

Solving for h

h=3V/ πr^2=3·96/ π·6^2≈2.54648m

Cylinder

5.V≈75.4m³

Solution

V=πr2h=π·22·6≈75.39822m³

Cylinder

6.h≈0.95m

Using the formula

V=πr2h

Solving for h

h=V/ πr^2=75/ π·5^2≈0.95493m

Hope this helped!!!

Answer:

No

Step-by-step explanation:

she should have just factored x² - 6x - 7 = 0

(x + 1)(x - 7) = 0

x = -1, x = 7

Answer:

6, 8, 10, and 12

Step-by-step explanation:

x + (x + 2) = (x + 4) + (x + 6) = 36

4x + 12 = 36

subtract 12 rom each side of the equation:

4x = 24

divide both sides by 4:

x = 6

x + 2 = 8

x + 4 + 10

x + 6 = 12

Answer and Step-by-step explanation:

Work is in picture.

#teamtrees #PAW (Plant And Water)

Answer: The probablity is 1/3 I think :)

Step-by-step explanation:

Answer:

he isn't

Step-by-step explanation:

The wood has dimensions of 18 x 12

If He wants the tray to have a height of 2, subtract 2 x 2 from both the length and the width

18 - 4 = 14

12 - 4 = 8

the highest possible dimensions of the tray can be 14 x 8

10 1/2 x 10 1/2 is greater than 14 x 8. so he is not correct

Answer:

I say it is A.

Step-by-step explanation:

It is the one that makes the most sense.

Hope this helps.

Answer:

and yeah ikr I don't understand why

Answer:

78 is the range of high temperature

Answer:

y = -15

x = -10

Step-by-step explanation:

1/4x - 1/2 = 5 (1)

3x + 2/3y = -40 (2)

Multiply (1) by 4

1/4x - 1/2 = 5

1/4x * 4 - 1/2y * 4 = 5 * 4

4/4x - 4/2y = 20

x - 2y = 20 (3)

Multiply (2) by 3

3x + 2/3y = -40 (2)

3x * 3 + 2/3y * 3 = -40 * 3

9x + 6/3y = -120

9x + 2y = -120 (4)

x - 2y = 20 (3)

9x + 2y = -120 (4)

Using elimination method, Add (3) and (4)

9x + x = -120 + 20

10x = -100

x = -100/10

x = -10

Substitute x = -10 into (3)

x - 2y = 20 (3)

-10 - 2y = 20

-2y = 20 + 10

-2y = 30

y = 30/-2

y = -15

y = -15

x = -10

Answer:

20

Step-by-step explanation:

To find the least number of leafs that each collection must have, we find the L.C.M of both numbers. So L.C.M of 4 and 5.

The prime factors of 4 = 2²

The prime factors of 5 = 5

So L.C.M of 4 and 5 = 2² × 5 = 20

So, the least number of leafs that each collection can have is 20 leafs.

Answer:

65

Step-by-step explanation:

Answer:

Total amount needed is: $59.25

Step-by-step explanation:

Given

See attachment for fence

Required

Cost of weedkiller needed

First, we need to calculate the height of the fence.

Considering the triangular end of the fence, we have:

[tex]17 ^ 2 = h ^ 2 + 8 ^ 2[/tex] --- Pythagoras theorem

[tex]289 = h^2 + 64[/tex]

Collect like terms

[tex]h ^ 2 = 289 - 64[/tex]

[tex]h ^ 2 = 225[/tex]

Take positive square root of both sides

[tex]h = \sqrt{225[/tex]

[tex]h = 15[/tex]

Next, calculate the area of the fence (trapezium).

This is calculated as:

[tex]Area = \frac{1}{2}(a + b) * h[/tex]

Where:

[tex]a = 12[/tex]

[tex]b = 20 + 8 = 28[/tex]

So, we have:

[tex]Area = \frac{1}{2}(12 + 28) * 15[/tex]

[tex]Area = \frac{1}{2}(40) * 15[/tex]

[tex]Area = 20 * 15[/tex]

[tex]Area = 300m^2[/tex]

From the question, we have:

[tex]\$19.75 = 100m^2[/tex]

Let x = the cost required for the complete area

i.e.

[tex]x = 300m^2[/tex]

So, we have:

[tex]\$19.75 = 100m^2[/tex]

[tex]x = 300m^2[/tex]

Cross multiply

[tex]x * 100m^2 = \$19.75 * 300m^2[/tex]

Divide both sides by [tex]100m^2[/tex]

[tex]\frac{x * 100m^2}{100m^2} = \frac{\$19.75 * 300m^2}{100m^2}[/tex]

[tex]x = \frac{\$19.75 * 300m^2}{100m^2}[/tex]

[tex]x = \$19.75 * 3[/tex]

[tex]x = \$59.25[/tex]

Answer:

d = 16 in    then   r = 8 in

V = h * π * r²

V= 9in * π * (8 in)²

V = 1809.55 in³

Answer:

It's D

Step-by-step explanation:

Answer:

6 -> 4/10

7 -> s √144 in

8 -> 0.4

9 -> s = ∛999 in

10 -> d = 3

Answer:

15

Step-by-step explanation:

Because the first house is 5 toothpicks and the rest are all 4 toothpicks

14*4=56 (the amount of the houses that are 4 toothpicks)

56+5=61 (The house that is 5 toothpicks)

Answer:

a (the length is twice the width)

Step-by-step explanation:

a(the length is twice the width)

Answer:

8 students in each van, 22 students in each bus

Step-by-step explanation:

Let's say v is number of students in each van

and b the number of students in each bus.

Let's make the equations:

8v + 8b = 240

4v + 1b = 54

8v + 8b = 240

v + b = 30

b = 30 - v

now let's use b = 30 - v and insert it into 4v + 1b = 54

4v + (30 - v) = 54

3v + 30 = 54

3v = 24

v = 8

b = 30 - v = 30 - 8 = 22

Answer:

Might be wrong but 27. Hope this helps

Answer:

48 girls!

Step-by-step explanation:

boys = 6x

girls = 8x

6x = 36

x = 36/6 = 6

girls = 8x = 8 x 6 =  48

I hope im right!

Answer:

yes I think he does because of the distance of the sprinklers reach.

Answer:

Step-by-step explanation:

Remark

The ratios are certainly correct but that doesn't mean that they show similarity. SSA is a very dangerous proposition to use. Redraw triangle DEF of that DF is going to upwards to your right hand side. Make E as it was before. Why isn't this right?

It isn't right because E has gone from being an acute angle to an obtuse angle (an angle larger than 90 but less than 180).

The ratios are still true, but the angles do not match. So the whole answer is incorrect.

Let's solve your system by elimination.

8x+y=−16;3x−y=5

8x+y=−16

3x−y=5

Add these equations to eliminate y:

11x=−11

Then solve: 11x=−11 for x:

11x=−11

11x

11

=

−11

11

(Divide both sides by 11)

x=−1

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

8x+y=−16

Substitute: −1 for x in 8x+y=−16:

(8)(−1)+y=−16

y−8=−16(Simplify both sides of the equation)

y−8+8=−16+8(Add 8 to both sides)

y=−8

Answer:

x=−1 and y=−8

Answer:Multiply each equation by a suitable number so that the two equations have the same leading coefficient.

Subtract the second equation from the first.

Solve this new equation for y.

Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.

Step-by-step explanation:

Answer:

[tex]d = \sqrt{122} \: in[/tex]

Step-by-step explanation:

D^2 = x^2 + y^2 + z^2

= (9 in)^2 + (5 in)^2 + (4 in)^2

= 122 in^2

or

[tex]d = \sqrt{122} [/tex]

Answer:

9/50

Step-by-step explanation:

18/100 they will both be divided by two 18 divided by two is 9 and 100 divided by two is 50.2 is the only number both can be divided by.

Answer:

Option A  9/25 is correct.

Step-by-step explanation:

so his data shows that the yellow balloon was chosen 18 times out of 50 so it is a 18/50.

now if we simplify that we get 9/25.

Have a nice day!

Answer:

The theoretical probability will not change.

Step-by-step explanation:

The theoretical probability will always be based on logic. If a fair coin has a head and tail, then it’s an even 50/50 chance of the coin landing on either side. If the coin is flipped more than once, the theoretical probability will stay the same.

The theoretical probability of the event flip heads does not change when a coin is flipped more times in a experiment.

Theoretical probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus he probability of failure of a event is equal to the difference of the 1 to the success of the event.

The binomial experiment is the experiment in which the total number of output values is 2, therefore it is known as binomial experiments.

The number of independence variable in case of binomial experiments is fixed. Both the two output has the 1/2 chances to occur.

The theoretical probability, of an event is always remain same. It does not depends on the number of experiments or trial.

For the experiment of flipping a coin, there would only be two outcomes either a head or a tail. The theoretical probability to occur head will be 1/2 or 50 percent. This will be similar for the tail face.

Hence, the theoretical probability of the event flip heads does not change when a coin is flipped more times in a experiment.

Learn more about the probability here;

https://brainly.com/question/24756209