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3 years ago

Use the formula to help you answer the question below. do not include units in your answer.

Mathematics

1 answer:

bogdanovich [222]3 years ago

7 0

The information given requires you to rework the formula as :
distance÷time=rate

so then plug in values to get
5÷2=rate

and the answer will be 2.5 as your rate

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Which expression defines the given series for seven terms?<br><br> 15 + 19 + 23 + . . .

dolphi86 [110]

The expression defines the given series for seven terms, i don't understand the question but i do know the sum which you should know to

15 + 19 + 23 = 57

Sorry

5 0

3 years ago

Read 2 more answers

An accounting firm is planning for the next tax preparation season. From last years returns, the firm collects a systematic rand

Elena L [17]

Answer:

a)From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error for the mean would be:

$\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14$

b) We want this probability:

$P(\bar X >120)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143$

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

$P( z>2.143) = 1-P(Z$

Step-by-step explanation:

Previous concepts

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 central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Part a

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error for the mean would be:

$\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14$

Part b

We want this probability:

$P(\bar X >120)$

And we can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143$

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

$P( z>2.143) = 1-P(Z$

4 0

3 years ago

Please answer correctly will mark brainliest, thanks!

monitta

2 first class tickets
4 coach tickets

3 0

3 years ago

Please Help ;-;

zubka84 [21]

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-8, -8) and (-7, 9). Substitute to the formula of a slope:

$m=\dfrac{9-(-8)}{-7-(-8)}=\dfrac{17}{1}=17$

Put the coordinates of the point (-7, 9) and the value of slope to the point-slope formula:

$y-9=17(x-(-7))\\\\\boxed{y-9=17(x+7)}$

6 0

3 years ago

All pieces of pizza must be square with none left over. What is the side length of the largest square pieces into which Juanita

Ber [7]

Answer:

6 in

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Juanita and samuel are planning a pizza party. they order a rectangle sheet pizza that measures 21 inches by 36 inches.? they tell the pizza maker not to cut it because they want to cut it themselves. All pieces of pizza must be square with none left over. what is the side length of the largest square pieces into which juanita and samuel can cut the pizza?

First we need to calculate the area of the rectangular pizza.

Area of a rectangle = Length × Breadth

Area of the rectangular pizza= 21×36

Area of the rectangular pizza = 756in²

Next is to equate the area of the rectangle to the area of a square.

Area of a square = L²

Therefore L² = 756

L = √756

L = √36×21

L = √36×√21

L = 6√21

This means that the length if the largest square they can cut is 6in (ignoring the irrational part of the length gotten)

7 0

3 years ago