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prisoha [69]
2 years ago
12

What sample size is needed to give a margin of error within +-6 in estimating a population mean with 95% confidence, assuming a

previous sample had s=20.
Round your answer up to the nearest integer. sample size = _______.
Mathematics
1 answer:
rodikova [14]2 years ago
4 0

Answer:

43

Step-by-step explanation:

The formula for Margin of Error =

Margin of Error = z × standard deviation/√n

Margin of Error= ± 6

z = z score of 95% Confidence Interval is 1.96

s = 20

n = sample size

±6 = 1.96 × 20/√n

Cross Multiply

±6 × √n = 1.96 × 20

±6 × √n = 39.2

Divide both sides by ±7

√n = 39.2/±6

√n = 6.5333333333

Square both sides

n = 6.5333333333²

n= 42.684444444

Rounding up to the nearest integer = 43

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A machine fills boxes at a constant rate. At the end of 35 minutes, it has filled 5 boxes.
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Answer:

7

Step-by-step explanation:

7x5=35

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If the length of a rectangle is (x + 7) inches and the width is (3x+2) inches. Which expression represents the rectangle's area?
konstantin123 [22]

Answer:

The answer is no 1:

3x ^{2}  + 23x + 14

5 0
3 years ago
Expand and simplify -2(x + 4x^2) + 3(x^2 + 2x)
Vlad1618 [11]

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Which answer is correct!?!?
Naya [18.7K]
46%d+57%y=55%x42
x+y=42

Find y

x=42-y

46%(42-y)+57%y=23.1
19.31-46%y+57%y=23.1
11%y=23.1-19.31
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The answer is D
6 0
3 years ago
Which equation in point-slope form contains the point (−3, 5) and has a slope of −4?
Oksi-84 [34.3K]

Answer:

y - 5 = -4(x + 3)

Step-by-step explanation:

This question is asking you to use and make an equation using the base of the "point-slope form." This is a common equation used when dealing with coordinates and graphs in math. The point-slope form equation looks like this:

y - y₁ = m(x - x₁).

We are going to need to use this equation base to create our problem from the information given. If you are wondering what those subscripts of 1 mean (the 1 in y₁ and x₁), I will explain. Remember that:

slope (m) = <u>y - y₁</u>

                  x - x₁

So, our first y value (which is the y-coordinate of 5 in [-3, 5]) can be added into the problem base that I had mentioned above:

y - <u>5</u> = m(x - x₁).

Now, we need to place the first x value (which is the -3 in [-3, 5]) can be added into the base problem once more:

y - 5 = m(x - (<u>-3</u>)).

Because a negative number with a negative symbol in front of it creates a positive, we can change that as well:

y - 5 = m(x + 3).

Fortunately, the question provides a slope ready for use. The question says that the slope is -4, so we can place this into the equation now:

y - 5 = -4(x + 3).

I hope that this helps.

3 0
2 years ago
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