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xeze [42]
3 years ago
7

Which of the following correlation coefficients represents the strongest relationship between two factors? A. –.15 B. –.80 C. +.

38 D. +.03
Mathematics
1 answer:
Lena [83]3 years ago
7 0

Answer:

The strongest relation between the two factors is B.) -0.8

Step-by-step explanation:

The correlation coefficient typically varies from -1 to 1.

The value of -1 for the correlation coefficient denotes that the two variables are have a very strong negative  correlation.

The value of +1 for the correlation coefficient denotes that the two variables are have a very strong negative  correlation.

Therefore among the four options given of -0.15, -0.8, 0.38, 0.03 the strongest relation between two factors is given by -0.8 but as the '-' sign indicates the two factors are negatively correlated.

Negative correlation means that if one variable is high the other would be low.

Positive correlation means that if one variable is high then the other variable is also high and if one variable is low then the other is also low.

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Given : A social media website has currently = 1,000 members.

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To find: Equation that represents number of members m belongs to site.

Solution: Because we are given, each month the number of members gets triple, that means each month we can multiply by 3 to the number of members of previous month.

For first month, we would multiply 1,000 by 3.

For second month, we would multiply 1,000 by 3 *3.

For second month, we would multiply 1,000 by 3*3*3.

Each month one factor of 3 is being increasing.

We could write those 3's as exponents of 3.

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1000 * 3^2.

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3 years ago
The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

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C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



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