I've been stuck on this one for a while

Many games depend on how a ball bounces. For example, if different basketballs rebounded differently, one basketball would bounc

Crank

Answer:

Basketball = 0.743

Step-by-step explanation:

Given

Tennis:

Starting Height = 200 cm

Rebound Height = 111 cm

Soccer Balls;

Starting Height = 200 cm

Rebound Height = 120 cm

Basketball:

Starting Height = 72 inches

Rebound Height = 53.5 inches

Squash:

Starting Height = 100 inches

Rebound Height = 29.5 inches

For measuring the bounciness of a ball, one needs that starting Height of and the rebound Height of that ball which have been listed out above.

Calculating the rebound ratio of each balls.

Rebound Ratio = Rebound Height/Starting Height

Tennis: 111/200= 0.556

Soccer Balls: 120/200 = 1.667

Basketball: 53.5/72 = 0.743

Squash: 29.5/100 = 0.295

From the rebounding ratio calculated above, it can be seen that basketball has the highest rebound ratio of 0.743 and is the bounciest of all whole Squash has the least rebound of 0.295 ratio, hence it is the least bounce of all.

8 0

3 years ago

A number line is shown. Which expression represents the distance between two points, X and Y, on the number line?

IrinaK [193]

Answer: C. |-4 - 3|

<u>Step-by-step explanation:</u>

x = -4

y = 3

The distance between them is the difference. The mathematical operation for difference is subtraction.

Distance is a unit of measurement. Measurements cannot be negative so the absolute value sign is used to ensure the difference is positive.

4 0

3 years ago

In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence in

tatuchka [14]

Answer:

n=350

Step-by-step explanation:

Notation and definitions

$n$ random sample taken (variable of interest)

$\hat p=0.35$ estimated proportion (value assumed)

$p$ true population proportion

Confidence =0.95 or 95% (value assumed)

Me=0.05 (value assumed)

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.05$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.586$

And rounded up we have that n=350

4 0

3 years ago

What is the least common multiple of 9 and 8

leonid [27]

Answer:

72 is the least common multiple

6 0

2 years ago

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Helpppppp plsssssssss

bekas [8.4K]

Answer:

C

Step-by-step explanation:

The right triangle on the right side of the figure has a height of 6 (two same sides lengths) and a base of 3.

x is the hypotenuse (side opposite of 90 degree angle).

We can use the pythagorean theorem to find x. The pythagorean theorem tells us to square each leg (height and base) of the triangle and add it. It should be equal to the hypotenuse square.

For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:

$6^2 + 3^2 = x^2\\36 + 9 = x^2\\45 = x^2\\x=\sqrt{45}$

<em>Now we can use property of radical $\sqrt{x}\sqrt{y} =\sqrt{x*y}$ to simplify:</em>

$x=\sqrt{45} \\x=\sqrt{5*9} \\x=\sqrt{5} \sqrt{9} \\x=3\sqrt{5}$

Correct answer is C

6 0

3 years ago

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