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3 years ago

Please help thank you!

Mathematics

1 answer:

Setler79 [48]3 years ago

7 0

Answer:

(d) WEAK NEGATIVE ASSOCIATION.

Step-by-step explanation:

Pearson correlation (r) is defined as a factor which measures the linear dependence between two variables (x and y). It's also known as a parametric correlation.

Here, r = -0.19

Now, as r is NEGATIVE.

⇒ As the value of x increases , value of y decreases.

⇒There is a NEGATIVE ASSOCIATION.

Now as the value of r is between 0 and ( -1). So the factor of variation is very small.

Hence, it is WEAK NEGATIVE ASSOCIATION.

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Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

OlgaM077 [116]

Answer:

$a_n = 16(\frac{1}{4})^{n - 1}$

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = $\frac{1}{16}$

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = $ar^{n - 1}$ , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

$\frac{1}{16} = a*\frac{1}{4}^{5 - 1}$

$\frac{1}{16} = a*\frac{1}{4}^{4}$

$\frac{1}{16} = a*\frac{1}{256}$

$\frac{1}{16} = \frac{a}{256}$

Cross multiply

$1*256 = a*16$

Divide both sides by 16

$\frac{256}{16} = \frac{16a}{16}$

$16 = a$

$a = 16$

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = $ar^{n - 1}$

nth term = $16*\frac{1}{4}^{n - 1}$

$a_n = 16(\frac{1}{4})^{n - 1}$

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3 years ago

Read 2 more answers

Please help thank you!​

Please help thank you!