1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ipatiy [6.2K]
2 years ago
7

Module Quiz: Modified

Mathematics
1 answer:
Minchanka [31]2 years ago
8 0

Answer:

b I think.

Step-by-step explanation:

You might be interested in
A bakery has 2,160 loaves of whole-wheat bread in July. In all, the bakery SOLD 9000 loaves THIS MONTH. What percent of the loav
Bumek [7]
24% because you would make a ratio like x/100= 2,160/9000. So basically the x is the percentage you need, 100 is just an easy factorable percent, and 2,160 is the wheat bread and 9000 is all the bread. Basically what you do with this ratio is you cross multiply. This means you multiply 2,160 by 100 and divide by 9000 and that’s your percent
3 0
3 years ago
Andrew plans to retire in 32 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on pa
Debora [2.8K]

Answer:

a) 0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

b) 0.4129 = 41.29% probability that the mean return will be less than 8%

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 estabilishes 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.

Mean 8.7% and standard deviation 20.2%.

This means that \mu = 8.7, \sigma = 20.2

40 years:

This means that n = 40, s = \frac{20.2}{\sqrt{40}}

(a) What is the probability (assuming that the past pattern of variation continues) that the mean annual return on common stocks over the next 40 years will exceed 13%?

This is 1 subtracted by the pvalue of Z when X = 13. So

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

By the Central Limit Theorem

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

Z = \frac{13 - 8.7}{\frac{20.2}{\sqrt{40}}}

Z = 1.35

Z = 1.35 has a pvalue of 0.9115

1 - 0.9115 = 0.0885

0.0885 = 8.85% probability that the mean annual return on common stocks over the next 40 years will exceed 13%.

(b) What is the probability that the mean return will be less than 8%?

This is the pvalue of Z when X = 8. So

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

Z = \frac{8 - 8.7}{\frac{20.2}{\sqrt{40}}}

Z = -0.22

Z = -0.22 has a pvalue of 0.4129

0.4129 = 41.29% probability that the mean return will be less than 8%

8 0
2 years ago
What is the answer too 2(4w-1)=-10(w-3)+4
Advocard [28]

Answer:

w = 2

Step-by-step explanation:

 2(4w - 1) = -10(w - 3) + 4

 8w - 2 = -10w + 30 + 4

 8w - 2 = -10w + 34

+10w       +10w

18w - 2 = 34

      +2     +2

<u>18w</u> = <u>36</u>

18       18

w = 2

5 0
3 years ago
Whats the x and y intercept for x + 4y = 36
sergij07 [2.7K]

Answer:

x intercept (36, 0)

y intercept (0, 9)

Step-by-step explanation:

x intercept when y = 0 so x = 36

y intercept when x = 0 so 4y = 36; y = 9

Answer

x intercept (36, 0)

y intercept (0, 9)

3 0
3 years ago
A baker uses 3 cups of flour to make each cake. If f represents the total amount of flour, which equation models this situation?
Roman55 [17]

Answer:

f=3n, where n is the number of cakes.

Step-by-step explanation:

Yes, the equation f=3n, where n is the number of cakes, models the situation.

3 0
3 years ago
Other questions:
  • What is (4a)^2 without exponents?
    10·1 answer
  • Steve's doctor has advised him to take protein supplements. He bought two brands, Brand A and Brand B. The table gives the amoun
    12·1 answer
  • What's the answer??
    7·1 answer
  • Tai went hiking with his friends. The beginning of the hiking path has an
    5·1 answer
  • Father's age is 3 times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children
    10·1 answer
  • Multiply the fractions together. B Divide 45 5 4 by 13 3 1 . C Multiply the numerators together, and multiply the denominators t
    15·1 answer
  • How many groups of 3/4 are in each of the following quantities? 11/4<br> answer as a fraction. ASAP
    10·1 answer
  • REWARDING BRAINLY
    15·1 answer
  • Is this right if not please tell me explanation
    8·2 answers
  • CD has endpoints C(-3, 4) and D(1, -2). Find the coordinates<br> of its midpoint.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!