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3 years ago

Question 1

Mathematics

1 answer:

Vikki [24]3 years ago

4 0

Answer:

(B)15,36,39

Step-by-step explanation:

To determine which of the line segments could create a Right Triangle, we check if it satisfies the Pythagoras Theorem, taking the longest part to be the Hypotenuse in all cases.

By Pythagoras Theorem: $Hypotenuse^2=Opposite^2+Adjacent^2$

In 15,30,35

$35^2\neq 15^2+30^2\\1225\neq 1125$

In 15,36,39

$39^2=36^2+15^2\\1521=1521$

In 15, 20, 29

$29^2\neq 15^2+20^2\\841\neq 625$

In 5,15,30

$30^2\neq 15^2+5^2\\900\neq 250$

We can see that only 15,36,39 satisfies the required condition and thus it could be used to create a right triangle.

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A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values

nika2105 [10]

Answer:

For systolic pressure data:

$\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085$

For diastolic pressure data:

$\bar X =73.5\\\\S=12.54\\\\CV=\frac{73.5}{12.54}=0.17061$

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

Step-by-step explanation:

The coefficient of variation is defined as the percentage relative variation of a set of data with respect to its average. And it is calculated like this:

$CV=\frac{\bar X}{S}$

$S =\sqrt{\frac{1}{n-1} \sum_{i=1}^n (x_i-\bar{x})^2$

$\bar X={\frac{1}{n} \sum_{i=1}^n x_i$

For systolic pressure data:

$\bar X =127.2\\\\S=17.91668\\\\CV=\frac{17.91668}{127.2}=0.14085$

For diastolic pressure data:

$\bar X =73.5\\\\S=12.54\\\\CV=\frac{12.54}{73.5}=0.17061$

It is observed that the systolic pressure shows greater standard deviation but less coefficient of variation. This is due to the greater magnitude of its measurement scale.

Systolic pressure is slightly less variable, among individuals in the sample, than diastolic pressure.

7 0

3 years ago

In the table below, the number of pounds of blueberries is proportional to the number of pounds of strawberries

Scilla [17]

Answer:

b i think

Step-by-step explanation:

because even i didnt see it i still remember my old lessons

#CarryOnLearning

3 0

2 years ago