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3 years ago

What is the median of this data set? O A) 88 OB) 87 OC) 75 OD) 95

Mathematics

1 answer:

Rzqust [24]3 years ago

4 0

Answer: B) 87

Step-by-step explanation:

First, order the values from least to greatest:

75, 80, 87, 88, 95

Next, find the value that lies in the middle

75, 80, 87, 88, 95

Therefore, 87 is the median.

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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

3 years ago

two variables are negatively associated if, whenever the value of one variable increases, the value of the other variable decr

Flura [38]

Answer:

The correct answer is: Negative correlation.

Step-by-step explanation:

The negative correlation determines the relationship between two variables, it says that there is an inverse relationship between two variables, whenever one of them is decreasing, the other one increases, and it's the same in reverse.

6 0

3 years ago

Can someone do this for me ahhhh

Aleksandr [31]

28:13 is the answer i’m pretty for sure

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3 years ago

45 mi 28 mi What is the length of the hypotenuse?

solniwko [45]

Answer:

c = 53 miles

Step-by-step explanation:

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3 years ago

(6+2) +5 = 6+ (2+5) State the property described each problem

Tanzania [10]

Answer:

Associative property - addition

Step-by-step explanation:

When three or more numbers are added, the sum is the same regardless of the way in which the numbers are grouped.

(6+2) + 5 = 6 + (2+5)

8 + 5 = 6 + 7

13 = 13

7 0

3 years ago

What is the median of this data set? O A) 88 OB) 87 OC) 75 OD) 95​

What is the median of this data set? O A) 88 OB) 87 OC) 75 OD) 95