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2 years ago

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There were 80 runners to start a race in the first half of the race, 1/5 of them dropped out. In the second half of the race, 1/

4 of the remaining runners dropped out. How many runners finished the race

1 answer:

charle [14.2K]2 years ago

8 0

Answer:

4

Step-by-step explanation:

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1)What are the first five terms of the sequence given by the formula an=4n+1 ?

koban [17]

Answer:1) c. 5,9,13,17,21

2) a. a1=8, an=an-1 -2

Step-by-step explanation: 1) an=4n+1

⇒ a1=4×1+1=5

a2=4×2+1=9

a3=4×3+1=13

a4=4×4+1=17

a5=4×5+1=21

2) clearly a1=8 and then the terms of series are decreasing by 2

so, an=an-1 -2

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Select all that apply.<br> Which words describe the square root of 100?

abruzzese [7]

The square root of a number is any number that when multiplied against itself becomes the number under symbol denoting for the square root operation.

The number 10 is the result of the square root operator applied to the number 100 because 10 * 10 = 100.

The number 10 is a natural number because natural numbers are positive integers. It is also an integer, whole number, and rational.

Hope this answer helps!

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2 years ago

Which of the following rational functions is graphed below?

Dvinal [7]

Answer:

A)

Step-by-step explanation:

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2 years ago

You work in the HR department at a large franchise. you want to test whether you have set your employee monthly allowances corre

ra1l [238]

Answer:

1) Null hypothesis: $\mu \leq 500$

Alternative hypothesis: $\mu > 500$

$z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90$

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

$z_{crit}= 2.33$

For this case we see that the calculated value is higher than the critical value

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

2) Since is a right tailed test the p value would be:

$p_v =P(z>5.90)=1.82x10^{-9}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

Step-by-step explanation:

Part 1

Data given

$\bar X=640$ represent the sample mean

$\sigma=150$ represent the population standard deviation

$n=40$ sample size

$\mu_o =500$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Step1:State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is higher than 500, the system of hypothesis would be:

Null hypothesis: $\mu \leq 500$

Alternative hypothesis: $\mu > 500$

Step 2: Calculate the statistic

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

We can replace in formula (1) the info given like this:

$z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90$

Step 3: Calculate the critical value

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

$z_{crit}= 2.33$

Step 4: Compare the statistic with the critical value

For this case we see that the calculated value is higher than the critical value

Step 5: Decision

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

Part 2

P-value

Since is a right tailed test the p value would be:

$p_v =P(z>5.90)=1.82x10^{-9}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

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3 years ago

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kobusy [5.1K]

Answer:

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2 and 6

4 and 8

1 and 8

Step-by-step explanation:

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