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1 year ago

The dotplot shows the heights of 25 students in Mrs. Navard’s statistics class.

Mathematics

1 answer:

Zolol [24]1 year ago

4 0

Answer:

A)Percentile for Lynette, the student who is 65 in. tall is 36th

B) Asher is 22 inches tall.

Step-by-step explanation:

Percentile : It is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls

A) Find the Percentile for Lynette, the student who is 65 in. tall.

No. of students below 65 inch =9

So, Percentage of data below 65 inch = $\frac{9}{25} \times 100 = 36 \%$

So, Percentile for Lynette, the student who is 65 in. tall is 36th

B)Ashers height is at the 88th percentile of the distribution. Interpret this value in context. How tall is Asher

$88=\frac{x}{25} \times 100 \\\frac{2200}{100}=x$

22=x

So, No. of students below or st 88th percentile = 22

So, Asher is 22 inches tall.

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Students collected data about the capacities of their lungs by inflating balloons with a single breath. they measured the circum

marishachu [46]

The given data is the following:

Student Trial 1 Trial 2 Trial 3 Average
----------- -------- -------- -------- ------------
1 66.0 66.5 68.5 67.0
2 67.5 64.0 70.5 67.3
3 60.3 60.5 60.5 61.0
4 55.0 58.0 59.0 57.3

Let us check the reported averages.
Student 1:
Average = (66.0 + 66.5 + 68.5)/3 = 67.0 Correct
Student 2:
Average = (67.5 + 64.0 + 70.5)/3 = 67.3 Correct
Student 3:
Average = (60.3 + 60.5 + 60.5)/3 = 604 Incorrect
Student 4:
Average = (55.0 + 58.0 + 59.0)/3 = 57.3 Correct

Answer: Student 3

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1 year ago

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A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the Un

masha68 [24]

Answer: We are given:

$\mu=247,\sigma=60$

We need to find the z scores for the following vacation expense amounts:

$197, $277, $310

We know that z score formula is:

$z=\frac{x-\mu}{\sigma}$

When $x = 197$ , the z score is:

$z=\frac{197-247}{60}$

$=\frac{-50}{60}$

$=-0.83$

When $x = 277$ , the z score is:

$z=\frac{277-247}{60}$

$=\frac{30}{60}$

$=0.5$

When $x = 310$ , the z score is:

$z=\frac{310-247}{60}$

$=\frac{63}{60}$

$=1.05$

Therefore, the z scores for the vacation expense amounts $197 per day, $277 per day, and $310 per day are -0.83, 0.5 and 1.05 respectively

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1 year ago

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Find -34 + 15 - 29 - (-3)

wariber [46]

Answer:

-45

Step-by-step explanation:

-34+15=-19

-29-(-3)= -29+3= -26

-19 + -26 = -45

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1 year ago

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If cos(t) = 2/7 and t is in the 4th quadrant, find sin(t).

Yuliya22 [10]

We can use the Pythagorean Trigonometric Identity which says:
$sin^2(t)+cos^2(t)=1$

Since we need to find sin(t), we have to solve for it:
$sin(t)= \sqrt{1-cos^2(t)}$

Let's plug in the given cos(t) value:
$sin(t) = \sqrt{1-cos^2( \frac{2}{7})}$

And solve sin(t):
$sin(t) = \sqrt{1- \frac{4}{49} } = \frac{x}{y} \sqrt{ \frac{49}{49}- \frac{4}{49} }$

Simplify further:
$sin(t) = \sqrt{ \frac{45}{49} } = \frac{ \sqrt{45} }{7} = \frac{ \sqrt{9*5} }{7}$

And it all simplifies down to:
$sin(t) = \frac{3 \sqrt{5} }{7}$

Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is:
$sin(t) = - \frac{ 3\sqrt{5} }{7}$

Hope this helps!

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2 years ago

If a and b are two integers then closure property states then

Margarita [4]

Your question has been heard loud and clear.

If a and b are two integers , then closure property states that the product of the two integers a and b , which is ab , is also an integer.

Thank you

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1 year ago