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3 years ago

What is the reciprocal of 8 8/5 ?

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

3 0

Answer:

$\frac{5}{48}$

Step-by-step explanation:

The reciprocal of a number n is $\frac{1}{n}$

Given 8 $\frac{8}{5}$ , change to an improper fraction

= $\frac{5(8)+8}{5}$ = $\frac{48}{5}$ , thus

reciprocal = $\frac{1}{\frac{48}{5} }$ = $\frac{5}{48}$

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Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes bel

Ann [662]

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 1.7709

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93$

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

$M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88$

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

$M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02$

The margin of error for a 90% confidence interval when n = 45 is 10.02.

3 0

3 years ago

Scott bought a backpack for $35.99 at Walmart. He needed to pay a 10% tax. How much did the backpack cost in all?

stellarik [79]

$35.99 x .10=3.599
$35.99 + 3.60=$39.59

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3 years ago

URGENT CAN SOMEONE HELPP MARKING BRANNIEST NO CAP !!! Pls due in 5min Each garden design shown requires the same amount of fenci

pishuonlain [190]

Answer:

To find the perimeter of the rectangle, you would add all sides or use P=2L+2w (Perimeter = 2 times the length plus 2 times the width)

Step-by-step explanation:

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7 0

3 years ago

Read 2 more answers

How do you write 5,392,029,004 in expanded form

Neko [114]

5,000,000,000 + 300,000,000 + 90,000,000 + 2,000,000 + 20,000 + 9,000 + 4

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4 years ago

A bottle of medicine contains 40 doses. How many doses are in 3 1/3 bottles?

sdas [7]

Hi there! So, there are 40 doses in 1 bottle. To find out the number of doses in 3 1/3 bottles, we have to multiply both numbers together. 3 1/3 as an improper faction is 10/3. 40/1 * 10/3 is 400/3 or 133 1/3 in simplest form. There are 133 1/3 doses of medicine in 3 1/3 bottles.

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3 years ago