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3 years ago

PLEASE HELP! I WILL MARK BRAINLIEST!

Mathematics

2 answers:

Svetradugi [14.3K]3 years ago

8 0

Answer:

D) There are no outliers.

Step-by-step explanation:

First step is to put the values in order:

15, 20, 25, 30, 35, 40, 45, 45, 50, 55, 60

Then, find the median. 40 is the median because it is in the middle.

A point is considered an outlier if it is greater than 1.5 interquartile ranges below the first quartile or above the third quartile.

To find the first quartile, take the median of all values to the left of 40. The median of 15, 20, 25, 30, 35 is 25 because it is in the middle. So the first quartile is 25.

The third quartile is 50 because it is the middle of the values to the right of 40.

Then, multiply the interquartile range by 1.5

The interquartile range is 25 because the 3rd quartile (50) minus the 1st quartile (25) is 25. Multiply 25 by 1.5 and you get 37.5.

An outlier is anything less than Q1 - 37.5 and anything more than Q3 + 37.5.

Q1 is 25. 25 - 37.5 is -12.5

Q3 is 50. 50 - 37.5 is 12.5

None of the values are outliers because they aren't 12.5 less than Q1 or 12.5 more than Q3.

Sphinxa [80]3 years ago

3 0

Answer D.) There are no outliers, sorry if i’m wrong.

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Gennadij [26K]

Answer:

c) .22

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:

$\alpha = \frac{1-0.95}{2} = 0.025$

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

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

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.

In this question:

$\sigma = 2.5, n = 500$

Then

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

$M = 1.96*\frac{2.5}{\sqrt{500}}$

$M = 0.22$

5 0

3 years ago

When finding the length of the hypotenuse of a right triangle why might you approximate the answer?

sammy [17]

Answer:

Because the hypotenuse might not be a perfect square

Step-by-step explanation:

8 0

2 years ago

Which value of a in the exponential function below would cause the function to shrink? f(x) = a(three-halves) Superscript x Four

Natalka [10]

Answer:

Four-fifths

Step-by-step explanation:

As we know that

By multiplying the function by a constant, we may expand or shrink the function in the y-direction.

Now we have

$y=a(b^{x})$

if $a> 1$ > the function would enlarge

if $0< a < 1$ > the function would shrinks

Now

For case A

$a = \frac{4}{5}$

$0 < (\frac{4}{5} )< 1$ ....... > the function would shrinks

For case B

$a = \frac{5}{4}$

$(\frac{5}{4} )>1$ .......> the function would enlarge

For case C

$a = \frac{3}{2}$

$(\frac{3}{2} )>1$ .........> the function would enlarge

For case D

$a = \frac{7}{4}$

$(\frac{7}{4} )>1$ .........> the function would enlarge

Therefore the second option is correct

5 0

3 years ago

Read 2 more answers

Dominic pays 7% interest on his $16,000 college loan and 12% interest on his $12,000 car loan. What average interest rate does h

Naya [18.7K]

The average interest rate is 8.57% paid on the total of $28,000

<h3>What is the percentage?</h3>

The percentage is defined as a ratio expressed as a fraction of 100.

Dominic pays 7% interest on his $16,000 college loan,

And 12% interest on his $12,000 car loan

To determine the average interest rate paid on the total $28,000 he owes

Calculating the total interest amount paid :

⇒ 7% of 16,000 + 12% of 12,000

⇒ (7/100)16,000 + (12/100)12,000

⇒ (0.07)16,000 + (0.12)12,000

⇒ 960 + 1440

⇒ 2400

So the average interest rate paid on the total of $28,000 as

⇒ 2400/28,000 = 0.0857 ≈ 8.57%

Hence, the average interest rate is 8.57% paid on the total of $28,000

Learn more about the percentage here:

brainly.com/question/24159063

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7 0

1 year ago

Mr. Johnson lost 15 pounds over the summer by jogging each week. By

sattari [20]

He gained 5 pounds i belive

4 0

3 years ago