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faust18 [17]
3 years ago
6

I need help with this question:

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
7 0
D, because 50 is LESS THAN or the SAME the amount he can earn, but 100 is GREATER THAN or the SAME amount he can earn so e must be in the middle of the two
Olenka [21]3 years ago
3 0

Answer:

d. 50 ≤ e ≤ 100

Step-by-step explanation: took the test

You might be interested in
A statistician calculates that 8% of Americans own a Rolls Royce. If the statistician is right, what is the probability that the
hichkok12 [17]

Answer:

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

A statistician calculates that 8% of Americans own a Rolls Royce.

This means that p = 0.08

Sample of 595:

This means that n = 595

Mean and standard deviation:

\mu = p = 0.08

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.08*0.92}{595}} = 0.0111

What is the probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%?

Proportion above 8% + 3% = 11% or below 8% - 3% = 5%. Since the normal distribution is symmetric, these probabilities are equal, and so we find one of them and multiply by 2.

Probability the proportion is less than 5%:

P-value of Z when X = 0.05. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.05 - 0.08}{0.0111}

Z = -2.7

Z = -2.7 has a p-value of 0.0035

2*0.0035 = 0.0070

0.007 = 0.7% probability that the proportion of Rolls Royce owners in a sample of 595 Americans would differ from the population proportion by more than 3%

8 0
3 years ago
⚠️‼️ HELP PLEASE GIVING POINTS ​
Nezavi [6.7K]

Answer:

CBD = 63 degrees

Step-by-step explanation:

To find CBD, we must first find the value of x. To do so, we use this equation since CBD and ABC equal 96 degrees:

(6x+27) + (7x-9) = 96
13x+18 = 96
13x+18-18 = 96-18
13x = 78
13x/13 = 78/13
x = 6

Now that we know the value of x, we factor it in to CBD to find its true value:

6x+27
6(6)+27
36+27
= 63 degrees

To check if this answer is correct, we can also find the value of ABC and see if the two values equal 96:

7x-9
7(6)-9
42-9
= 33 degrees

63 + 33 = 96

The answer is correct. CBD = 63 degrees and ABC = 33 degrees.

8 0
2 years ago
Kelsey is solving the inequality 17+4<9 17 + 4 x < 9 . To solve the inequality, she begins by solving the equation as show
Monica [59]

Answer:

an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle (since the sign is "left than")

Step-by-step explanation:

Given the inequalities

17+4x < 9

Subtract 17 from both sides

17+4x -19 < 9 - 17

4x < -8

Divide both sides by 4

4x/4 < -8/4

x < -2

To represent the solution on a number line, an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle.

6 0
3 years ago
The measure of angle B is 65.8°. find the measure of the complement and supplement of angle B.​
viktelen [127]

Answer:

The fourth choice

24.2° and 114.2°

Step-by-step explanation:

Complementary angles add up to 90°

Supplementary angles add up to 180°

*a trick to remember this is to know that C is before S in the alphabet, and 90 is before 180, so Complementary is 90 and Supplementary is 180

Step 1:  Find the complementary angle

  Take 90° and subtract the give angle to find the angle you would need...

       90° - 65.8° = 24.2°

Step 1:  Find the supplementary angle

  Take 180° and subtract the give angle to find the angle you would need...

       180° - 65.8° =  114.2°

3 0
3 years ago
An equation is shown<br> 27+18 (3+2)<br> What factor is missing from the equation?
yarga [219]
\mathbb{\pink{\huge{Hello\:Mate!!}}}

Answer

Equal sign is missing out there.

Step-by-step explanation.

If it is an equation, there must be equal sign present. It means, we are equating something. If there is equal sign, then it can't be an equation.

Thanks....!

With♥️
5 0
3 years ago
Read 2 more answers
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