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eimsori [14]
3 years ago
5

How would you write four and five hundred and eight thousandths

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
5 0
Like this 
4.058
that is the answer

Marina86 [1]3 years ago
3 0
4.5800
i think.............
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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
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
Burka [1]
Area of Rectangle = length times width
lets say length = 2x-4
width = x+5

Note: you can switch these around, width could be 2x-4 and length could be x+5, it doesnt matter.

With that being said:
length * width = area
(2x-4)(x+5)=area
FOIL (First Outer Inner Last)
2x^{2}+10x-4x-20=area
Simplify:
x^{2}+6x-20=area
3 0
3 years ago
4.1(-7.93-4.39a)-4.6a
ki77a [65]

Answer:

−22.599a−32.513

Step-by-step explanation:

Distribute:

= (4.1) (−7.93) + (4.1) (− 4.39 a) + − 4.6 a

= − 32.513 + − 17.999 a + − 4.6 a

Combine Like Terms:

= −32.513 + − 17.999 a + − 4.6 a

= (− 17.999 a + −4.6 a) + (− 32.513)

= − 22.599 a + (− 32.513) = − 22.599 a − 32.513

3 0
3 years ago
Read 2 more answers
Order 0.5,0.41, and three over five from least to greateast
Gre4nikov [31]
0.41, 0.5, 3/5

convert all to decimals
0.5=0.5
0.41=0.41
3/5=0.6
3 0
3 years ago
Pls hurry <br>in xyz if x= 90 and y=45 whats the measure of z​
Liono4ka [1.6K]

Answer:

z = -4050

Step-by-step explanation:

x × y × z

90 × 45 × z

4050 = -z

4050 = -z \ × -1

-4050 = z

5 0
2 years ago
Read 2 more answers
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