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2 years ago

A population mean of 360, a standard deviation of 4, and a margin of error of 2.5%

Mathematics

1 answer:

Ad libitum [116K]2 years ago

3 0

Answer:

(351.04, 368.96)

Step-by-step explanation:

Given that population mean= 360

Std devitaion = 4

margin of error = 2.5%= 0.025

Since population std deviation is known we can use Z critical value

For two tailed critical value for 2.5% would be

2.24

Margin of error = ±Critical value*std deviation

= ±2.24(4)

= ±8.96

Confidence interval =(Mean - margin of error, mean + margin of error)

= $(360-8.96, 360+8,.96)\\= (351.04, 368.96)$

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Wyatt solved the following equation:

NikAS [45]

Answer:

Option B

Step-by-step explanation:

The question is as following:

$x+\frac{1}{2} (6x-4) =6$

Step Work Justification

1 2x + 6x − 4 = 12

2 8x − 4 = 12

3 8x = 16

4 x = 2

Which of the following has all of the correct justifications Wyatt used to solve this equation?

A. Distributive property. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

B. Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

C. Distributive property. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality.

D. Multiplication property of equality. 2. Combine like terms. 3. Subtraction property of equality. 4. Division property of equality

The answer:

Step Work Justification

multiply both sides by 2

1) 2x + 6x − 4 = 12 ⇒ {Multiplication property of equality}

{Combine like terms}

2) 8x − 4 = 12 ⇒

Adding 4 both sides

3) 8x = 16 ⇒ {Addition property of equality}

divide both sides by 8

4) x = 2 ⇒ {Division property of equality}

The answer is option B

(B) Multiplication property of equality. 2. Combine like terms. 3. Addition property of equality. 4. Division property of equality.

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2 years ago

A florist has 8 roses and 24 daffodils.she wants to make as nany identical bouquets as possible, with the same combination of ro

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1 year ago

Sam knows that his annual homeowners insurance premium is $0.27 per $100 of value, which usually works out to be $683.10 annuall

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Answer:

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Step-by-step explanation:

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A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the

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So if one bit of the length, is half the size of the other bit then we can make the following equation, for x being the length of rope:

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Hope I helped!

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2 years ago

Read 2 more answers

Mrs. aviles is planning a fruit-cup party for a class of 18 students and two teachers. She spends $10 for a package of snacks an

zzz [600]

Answer:

domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

Step-by-step explanation:

We are given;

Total students for the fruit cup party = 18

Total teachers for the fruit cup party = 2

Cost of each fruit cup =$ 3

Delivery charge = $ 10

Now, the total number of people attending the party = Total number of students + Total number of teachers

Thus;

Total number of people attending party = 18 + 2 = 20

Since cost of each fruit cup is $3.

Thus, for 20 fruit cups, the function is;

f(x) = 20x where x is cost of each fruit cup.

It means the cost of 20 fruit cups = $3 × 20 = $60

Thus, domain is x = 3

Thus domain means that for every fruit cup costs $3

Range is f(20) = 60

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1 year ago