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Fiesta28 [93]
3 years ago
9

How to find the quotient 564÷3

Mathematics
1 answer:
irinina [24]3 years ago
8 0
The answer to the question

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Clothing sizes are not standardized across brands. Suppose that a large study of women's size 14 jeans revealed that the mean hi
kenny6666 [7]

Using the z-distribution, we have that:

  • The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.
  • The <u>margin of error</u> is of 0.8 in.
  • The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.

The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the <u>sum of all observations divided by the number of observations</u>. Hence:

\overline{x} = \frac{44.5+43.0+46.6+42.9+43.7+43.9+42.4+43.2+43.1+44.4+46.1+44.7+44.4+43.9+44.7}{15} = 44.1

The margin of error of a z-confidence interval is given by:

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

In which:

  • z is the critical value.
  • \sigma is the population standard deviation.
  • n is the sample size.

We have to find the critical value, which is z with a p-value of \frac{1 + \alpha}{2}, in which \alpha is the confidence level.

In this problem, \alpha = 0.99, thus, z with a p-value of \frac{1 + 0.99}{2} = 0.995, which means that it is z = 2.575.

Then, the margin of error is:

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

M = 2.575\frac{1.2}{\sqrt{15}}

M = 0.8

The <u>margin of error</u> is of 0.8 in.

The interval is:

\overline{x} \pm M

\overline{x} - M = 44.1 - 0.8 = 43.3

\overline{x} + M = 44.1 + 0.8 = 44.9

The interpretation is:

Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.

A similar problem is given at brainly.com/question/25300297

6 0
3 years ago
Which statement is true regarding the graphed functions?
Paha777 [63]

Answer:

C. f(2) = 0, and g(-2) = 0

Step-by-step Explanation:

From the graph given, the line for f(x) and g(x) intercept each other at x = 0, when y = 4, that is f(0) = 4 and also g(0) = 4.

From the graph, on the line of g(x), when x = -2, y = 0, that is g(-2) = 0.

Also for f(x), when x = 2, y = 0. That is, f(2) = 0.

Therefore, the statement that is true about the graphed function is:

f(2) = 0, and g(-2) = 0

5 0
3 years ago
Select the two values of x that are roots of this equation.<br> 2x2 + 7x + 6 = 0
SVEN [57.7K]
Hopes this helps:

Answer: x = -10/7

1. Simplify 2 • 2 to 4
4 + 7x + 6 = 0

2. Simplify 4 + 7x + 6 to 7x + 10.
7x + 10 = 0

3. Subtract 10 from both sides.
7x = -10

4. Divide both sides by 7.
X = -10/7
3 0
3 years ago
8.37 Sale prices at the Ajax Outlet Store are 50% below original prices. On Saturdays, an additional discount of 20% off the sal
givi [52]

Answer:

Given:

  • Sale prices at the Ajax Outlet Store are 50% below the original prices.
  • On Saturdays, an additional discount of 20% off the sale price is given.

To find:

  • The Saturday price of a coat whose original price is $180.

The formula used to calculate the percentage is (value/total value)*100%.

Step-by-step explanation:

Step 1 of 2

The original price of coat = $180



Ajax always sells at 50% discount

So their sale price = $90

Step 2 of 2

On Saturdays they sell 20% less

Which implies-

1/5*90 = 18

90-18=72

They sell at $72 on Saturday.

5 0
2 years ago
Read 2 more answers
The loading ramp for a truck makes a 30° angle to the ground. The back of the truck is 4' above the ground.
Gnesinka [82]

correct answer is d i think so

8 0
3 years ago
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