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3 years ago

Graph the function. y=-x-6 ifx<-6 y = 2x + 12 if x>-6

Mathematics

1 answer:

Naddik [55]3 years ago

7 0

Answer:

see attached

Step-by-step explanation:

For x < -6, the function has a slope of -1 and an x-intercept of -6.

For x > -6, the function has a slope of 2 and an x-intercept of -6.

The function given here is not defined at x=6, so there is a hole at (-6, 0).

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How does writing 3.441 in expanded form show why the same digit can have different values?

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3 years ago

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2 years ago

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3 years ago

Which correlation is most likely a causation?

melisa1 [442]

It is usually noted that correlation does not imply causation, but there are some correlations which are causation as well.

A correlation is when there is a relationship between two variables while causation is when the outcome of one variable affects the outcome of the other variable.

From the first option, though there may be a positive relationship between sales of jeans and sales of slacks, but the purchase of jeans does not mean that you have to purchase a slack, thus, there is no causation.

For the second option, though there may be positive relationship between the number of aisles and the number of products in a supermarket, but a supermarket can have many aisles with few products, i.e. many aisles does not automatically imply many products, thus, there is no causation.

For the third option, though there may be a positive relationship between the number of swimmers and the number of sunbathers at a beach, but all swimmers in a beach are not sunbathers and all sunbathers are not swimmers. Thus, a swimmer does not imply a sunbather and a sunbather does not imply a swimmer. Thus, there is no causation.

For the last option, it is generally known that the more you practice an activity, the better you get in that activity. Thus, there exist a relationship between the number of hours spent practicing archery and the number of bull's-eyes an archer can hit and there also exist causation because the number of bull's-eye an archer can hit is directly dependent on the number of hours the archer spent practicing.

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3 years ago

A physical education department wanted a single test of upper body strength that was easy to administer. Dips on the parallel ba

Gennadij [26K]

Answer:

24.23 ; 13.47 ; 0.782 ; p value < 0.00001 ;7.45

Step-by-step explanation:

Given that :

ΣX = 3,416, ΣY = 1,899, SDX = 8.84, SDY = 4.70, ΣZXZY = 109.416

Sample size, N = 141

Mean of X:

£X / N = 3416 / 141 = 24.23

Mean of Y:

£Y / N = 1899 / 141 = 13.47

B.) Correlation between the 2 variables :

£ZXZY / N - 1

= 109.416 / 140

= 0.782

C.)

Level of significance and p value :

T = [Rsqrt(n-2)] ÷ sqrt(1 - R²)

T = [0.782 * sqrt(139)] ÷ sqrt(1-0.782^2)

T = 14.79

P value from Tscore calculator

Df = 141 - 2 = 139 ; α = 0.05

Pvalue = 0.00001

Pvalue < α ; Hence, a significant positive relationship exists.

To obtain regression model :

Slope = £ZXZY / SDX²

m = 109.416 / 8.84^2 = 1. 4

yintercept = meanY - slope*x

yintercept = 13.47 - 1.4*24.3

yintercept = - 20.55

Equation in slope intercept form:

y = mx + c

y = 1.4x - 20.55

For x = 20

y = 1.4(20) - 20.55

y = 7.45

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3 years ago