Elizabeth spent $77.69 at the school supply store. She then had $24.50

Pls help asap I will mark brainlist

Luba_88 [7]

Answer:

A. y = $\frac{-2}{3}x$ + 3

Explanation:

slope: $\frac{y2-y1}{x2-x1}$

: $\frac{1-3}{3-0}$

: $\frac{-2}{3}$

equation: y - y1 = m( x - x1 )

y - 1 = $\frac{-2}{3}$ ( x - 3 )

y = $\frac{-2}{3}x$ + 3

6 0

2 years ago

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

Matt has 5 cookies Addie eats 3. How old is Addie?

Maru [420]

Old enough for Matt to seek vengeance against her

3 0

2 years ago

Read 2 more answers

The total amount of money saved in

fiasKO [112]

Answer is 14

Step by step explanation

The amount is same so
64+8w=92+6w
2w=92-64=28
w=14 => after 14 weeks

6 0

3 years ago

Two parallel lines are crossed by a transversal. What is the value of h? h = 60 h = 80 h = 100 h = 120

lisabon 2012 [21]

I added the diagram of the question.

Answer:
h = 60°

Explanation:
We are given that lines k and l are parallel lines.
This means that angles 120° and h are supplementary angles.
This means that their measures add up to 180°

Therefore:
180° = 120° + h
h = 180° - 120°
h = 60°

Hope this helps :)

8 0

3 years ago

Read 2 more answers