1/8 into a decimal work

how many weeks of data must be randomly sampled to estimate the mean weekly sales of a new line of athletic footwear? We want 98

Ber [7]

Answer:

We need to sample at least 37 weeks of data.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.01 = 0.99$ , so $z = 2.327$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

We want 98% confidence that the sample mean is within $500 of the population mean, and the population standard deviation is known to be $1300

This is at least n weeks, in which n is found when $M = 500, \sigma = 1300$

So

$M = z*\frac{\sigma}{\sqrt{n}}$

$500 = 2.327*\frac{1300}{\sqrt{n}}$

$500\sqrt{n} = 2.327*1300$

$\sqrt{n} = \frac{2.327*1300}{500}$

$(\sqrt{n})^{2} = (\frac{2.327*1300}{500})^{2}$

$n = 36.6$

Rounding up

We need to sample at least 37 weeks of data.

8 0

3 years ago

Find the value of X, show work

nadya68 [22]

Answer: 0

Step-by-step explanation: you just have to divide a little bit then you just multiply.

8 0

2 years ago

Read 2 more answers

A winter coat was originally $65 and is now marked up by 2% . What is the price after the markup?

ratelena [41]

It would be 66.3 because 2% Coverts to .02 then you multiply that to 65 and get 1.3 and then you add that to 65

5 0

2 years ago

a fair (6 sided) die is rolled TWO times. What is the probability that the first die is a 2 or the second die is a prime

alexdok [17]

Answer:

The probability that the first die is a 2 or the second die is a prime = 1/12

Step-by-step explanation:

It is given that,a fair (6 sided) die is rolled TWO times.

The sample space for rolling 2 dies

(1, 1), (1, 2) .......... (1,6)

(2,1) ..........................

.

(6, 1) ..........................(6, 6)

There are total of 6^2 = 36 sample space

<u>To find the probability</u>

The prime numbers from 1 to 6 are 2, 3 and 5

the possible outcomes are(2,1), (2, 3) and (2, 5)

The probability that the first die is a 2 or the second die is a prime = 3/36 = 1/12

4 0

2 years ago

У=-3x+3<br> y = -9x + 15

julia-pushkina [17]

Answer:

(2, - 3 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 3 → (2)

y = - 9x + 15 → (2)

Substitute y = - 3x + 3 into (2)

- 3x + 3 = - 9x + 15 ( add 9x to both sides )

6x + 3 = 15 ( subtract 3 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

y = - 3(2) + 3 = - 6 + 3 = - 3

solution is (2, - 3 )

8 0

2 years ago