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2 years ago

A pitcher throws a 9 kg baseball in a straight line. Its momentum is 2.1 kg-m/s. What is the velocity of the

Mathematics

1 answer:

Zina [86]2 years ago

3 0

Answer:

$0.23\:\mathrm{m/s}$

Step-by-step explanation:

The momentum of an object is given by $p=mv$ , where $m$ is the mass of the object and $v$ is the velocity of the object.

What we're given:

object's mass $m$
object's momentum $p$

Substituting given values, we can solve for $v$ :

$2.1=9v,\\v=\frac{2.1}{9}\approx \boxed{0.23\:\mathrm{m/s}}$

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A circle has a circumference of x feet and an area of y square feet. If x=2y, what is the radius of the circle

lapo4ka [179]

x=2y is linear and can also be writtend as y=x/2

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3 years ago

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In a 10 x 10 grid that represents 800, one square represents

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Each square represents 8

If it is 10×10 then there is 100 squares

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3 years ago

A fast food restaurant executive wishes to know how many fast food meals adults eat each week. They want to construct a 98% conf

adelina 88 [10]

Answer:

$n=(\frac{2.326(1.1)}{0.07})^2 =1336.006 \approx 1337$

So the answer for this case would be n=1337 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1.1$ represent the population standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.07 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 98% of confidence interval now can be founded using the normal distribution. And in excel we can use this formula to find it:"=-NORM.INV(0.01;0;1)", and we got $z_{\alpha/2}=2.326$ , replacing into formula (b) we got:

$n=(\frac{2.326(1.1)}{0.07})^2 =1336.006 \approx 1337$

So the answer for this case would be n=1337 rounded up to the nearest integer

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3 years ago

What is the domain of the function y = -4x+1 if the range is -11

a_sh-v [17]

The range of a function is the set of all values that it can take when its independent variable takes values on the domain.

On the other hand, the range of a function is the domain of its inverse function, if that inverse exists, and vice-versa: the domain of a function is the range of its inverse function, if that inverse exists.

In the case of the given equation: