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valentina_108 [34]
3 years ago
15

Jacob and Caden share a reward of $108 in a ratio 7:2. How much does Jacob get?

Mathematics
2 answers:
bagirrra123 [75]3 years ago
8 0
Ratio of 7:2 means a total of 9 parts 
the whole is $108
Jacob gets 7/9 * $108 = $84

anyanavicka [17]3 years ago
4 0
1.  : 0.286
 
3.5 : 1.
 
hope this helps

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The 25th percentile for waiting time in a doctor's office is 19 minutes. the 75th percentile is 31 minutes. the interquartile ra
Gennadij [26K]
Wheres the rest of the question? 
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3 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
These graphs depict the price and output levels of apples under perfect competition and monopoly market structures. what is the
Ksivusya [100]

The extra amount that Mary would pay for apples under a monopoly instead of perfect competition is B. $3

<h3>Calculations and Parameters:</h3>

From the complete information,

There are images of the prices that can be gotten under a monopoly and the ones that can be gotten in a perfect competition by Mary.

The marginal cost which is graphed against the pound of apples and the price shows Mary would pay $15 and the marginal revenue shows that Mary would pay $12.

Hence, the difference between them, which is the extra amount to be paid would be $15-$12

=$3

Read more about perfect competition here:

brainly.com/question/3914700

#SPJ4

6 0
2 years ago
Jakob is asked to simplify the expression –3a + 4b + 5a + (–7b).
Ymorist [56]

Answer:  b commutative property

Step-by-step explanation: idid the test and i got it right

7 0
3 years ago
Read 2 more answers
-1/2=y-1 <br> I don’t understand this
Greeley [361]
You would add 1 to both sides to get the y alone on the right side. Then it would be y = 1+ -1/2 which is y = 1/2. Hope you understand better!
8 0
3 years ago
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