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3 years ago

The graph below plots the values of y for different values of x: (look at graph picture)

Mathematics

1 answer:

Dima020 [189]3 years ago

5 0

Answer:

A: x and y have a strong, positive correlation

Step-by-step explanation:

Correlation coefficient measures the relation between two variable.

it signifies how the value of one variable will change when the change in other variable is made.

Its value ranges from 0 to 1

0 represent no relation
1 represent strong relation

thus, as value increases from 0 to 1 , correlation strength increases.

Correlation coefficient can be negative and positive

negative relation signifies that as value of one variable increases then the value of other will decrease and vice-versa
positive relation signifies that as value of one variable increases then the value of other will also increase and vice versa

Given, that correlation coefficient between x and y is 0.9

since there is no negative sign it means there is positive correlation

value is 0.9

as 0.9 is nearer to 1, it is clear that relation is strong.

based on above discussion

option A

x and y have a strong, positive correlation is correct answer

If we look at graph we can see that as x increases y also increases.

the rate of increase of value of y in response of x is also high.

Thus, graph also shows that there is strong positive correlation

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In a study published on January 31, 2011 in The Proceedings of the National Academy of Sciences, researchers randomly assigned 1

Kaylis [27]

Answer:

Step-by-step explanation:

Hello!

The objective of this test is to know if aerobic exercise modifies hippocampus activity. A random sample of 120 elderly men and women was taken and divided into two groups.

Group 1: Walked around a track three times a week.

Group 2: Did a variety of less aerobic exercises, including yoga and resistance training with bands.

After a year their brains were scanned showing that group 1 had an increase of 2% in their hippocampus and group 2 showed a decrease of 1.4%

a. True, this type of observational study can be the prelude to a more formal statistical study.

b. True, the explanatory variable is "type of exercise", it's the variable that the investigator suspects influence the hippocampus volume.

c. True, the objective of this experiment is to test if there is any modification on hippocampus volume, that's why the volume of the hippocampus was measured, before and after a year of exercise.

d. False, this is an observational study, you cannot establish a causal relationship between the two variables. Just inform you that there seems to be an association. To be able to generalize the results to all elderly population you need a more formal statistical experiment to support your conclusions.

I hope it helps!

5 0

3 years ago

Triangle A B C is shown. Angle A C B is a right angle. The length of the hypotenuse is 20.

kherson [118]

Answer:

The length of BC is needed because it is the side opposite ∠A.

Step-by-step explanation:

Given the right angles triangle as shown in the attachment, we can get sin(A) without using Pythagoras theorem. Instead we will use SOH CAH TOA trigonometry identity.

According to SOH:

Sin(A) = Opposite/Hypotenuse

Sin(A) = |BC|/|AB|

Opposite side of the triangle is the side facing ∠A.

Based on the formula, we will need to get the opposite side of the triangle which is length BC for us to be able to determine sinA since the hypotenuse is given.

8 0

3 years ago

Read 2 more answers

Please Hurryyy

Helga [31]

The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

$\rm j^2 = h^2 + i^2 -2hicosC$

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

$\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8$