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Vsevolod [243]
3 years ago
8

Which of the following best describes the solutions to the inequality shown below?

Mathematics
1 answer:
ollegr [7]3 years ago
7 0
D. I think because you would get a negative
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the mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.5 %. assume
zhuklara [117]
Given:
Population proportion, \mu _{p} = 57% = 0.57
Population standard deviation, σ  = 3.5% = 0.035
Sample size, n = 40
Confidence level = 95%

The standard error is
SE_{p} =  \sqrt{ \frac{p(1-p)}{n} } = \sqrt{ \frac{0.57*0.43}{40} } =0.0783

The confidence interval is 
\hat{p} \pm z^{*}SE_{p}
where
\hat{p} = sample proportion
z* = 1.96 at the 95% confidence lvvel

The sample proportion lies in the interval
(0.57-1.96*0.0783, 0.57+1.96*0.0783) = (0.4165, 0.7235)

Answer: Between 0.417 and 72.4), or between (41% and 72%)

8 0
3 years ago
20 POINTS
noname [10]

Answer:

EXAMPLE

Pete bought a shirt on sale for $

18

18, which is one-half the original price. What was the original price of the shirt?

Solution:

Step 1. Read the problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the Internet.

In this problem, do you understand what is being discussed? Do you understand every word?

Step 2. Identify what you are looking for. It’s hard to find something if you are not sure what it is! Read the problem again and look for words that tell you what you are looking for!

In this problem, the words “what was the original price of the shirt” tell you what you are looking for: the original price of the shirt.

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

⋅

18

=

2

⋅

1

2

p

2⋅18=2⋅1

Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.

Let

p

=

p= the original price of the shirt

Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.

The top line reads:

Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.

Write the equation.

18

=

1

2

p

18=12p

Multiply both sides by 2.

2

⋅

18

=

2

⋅

1

2

p

2⋅18=2⋅12p

Simplify.

36

=

p

36=pStep 6. Check the answer in the problem and make sure it makes sense.

We found that

p

=

36

p=36, which means the original price was

$36

$36. Does

$36

$36 make sense in the problem? Yes, because

18

18 is one-half of

36

36, and the shirt was on sale at half the original price.Step 7. Answer the question with a complete sentence.

The problem asked “What was the original price of the shirt?” The answer to the question is: “The original price of the shirt was

$36

$36.”

If this were a homework exercise, our work might look like this:

The top reads,

TRY IT

Step-by-step explanation:

<em>#CarryOnLearning</em>

4 0
2 years ago
A person runs 1/7 mile in 1/56 hour.The person's speed is miles per hour.
Oduvanchick [21]
1 minute 8.25 seconds per mile
8 0
3 years ago
Read 2 more answers
Can anyone please help me out and god bless yall!!!
Arada [10]

Answer:

The answer is the number two answer.

4 0
2 years ago
Read 2 more answers
A 20-foot ladder leaning against a wall is used for each a window that is 17 feet above the ground. How far from the wall is the
zlopas [31]
We know that the building must form a right angle with the ground, so the triangle formed by the ladder, the wall, and the distance between the base of the ladder and the wall is a right triangle. We can use the Pythagorean theorem to find the distance the ladder is from the building.
a^2 + b^2 = c^2
We know that the ladder is the hypotenuse because it is opposite the right angle.
a^2 + b^2 = 20^2
Substitute the length of the other side and solve.
a^2 + 17^2 = 20^2
a^2 + 289 = 400
a^2 = 111
The distance from the wall to the bottom of the ladder is the square root of 111 or approximately 10.5357 feet
5 0
2 years ago
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