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11111nata11111 [884]
2 years ago
9

Which correlation coefficient represents a moderate negative correlation? a.r = –0.04 b. r = –0.24 c.r = –0.64d. r = –0.94

Mathematics
2 answers:
jonny [76]2 years ago
5 0

Answer: r = -0.64


Step-by-step explanation:

The correlation coefficient is a measure of the strength of the linear relationship between two variables and is denoted by r. Values between 0.3 and 0.7 indicate a moderate positive (negative) linear relationship .

Values between -0.3 and -0.7 indicate a moderate negative linear relationship .

The only value of r in the option is r= -0.64 lies in given interval of moderate negative linear relationship .

Therefore, c is the right answer.

sasho [114]2 years ago
3 0
I believe the correct answer from the choices listed above is option C. It would be r = –0.64 that represents a moderate negative correlation. It is a <span>is a relationship between two variables in which one variable increases as the other decreases, and vice versa. Hope this answers the question. Have a nice day.</span>
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A.140 B. 60 C.120 or D.40 ?
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A-140

Step-by-step explanation:

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Meg lives in Indianapolis and wants to visit her mom in Lima. She has been meaning to go to a chiropractor in Dayton, so she is
ella [17]

Answer: 44 miles

WORKINGS

Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown

Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.

The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL

Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles

Therefore, The distance between Dayton and Lima, DL = 52 miles

The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.

That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
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Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
7 0
2 years ago
Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
weeeeeb [17]

Answer:

\[y = (-1/2) * x + 6\]

Step-by-step explanation:

Equation of the given line: y=2x+2

Hence the slope of the line is given by 2

Any line which is perpendicular to the given line will have a slope m such that m*2 = -1

Or, \[m = \frac{-1}{2}\]

Only options 2 and 3 satisfy this condition.

The line is also supposed to pass through the point (6,3).

Substituting these values in the option 2:

\[3 = (-1/2) * 6 + 3\]

Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.

Now substituting (6,3) in option 3:

\[3 = (-1/2) * 6 + 6\]

Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.

5 0
3 years ago
If the sale tax rate is 8.75% in New York State, how much sales tax would you pay for a $35 pair of pants? And at Best Buy they
bogdanovich [222]

The pants are $38.06 and the television is $1,147.50.

The sales tax on the pair of pants is calculated by multiplying $35 x .0875 = $3.06

The total cost is $35 + 3.06 = $38.06.

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The sales tax is calculated by multiplying $1,062.50 x .08 = $85

The total price is $85 + $1,062.50 = $1,147.50

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