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
Ratling [72]
3 years ago
6

A survey found that​ women's heights are normally distributed with mean

SAT
1 answer:
zheka24 [161]3 years ago
8 0

Answer:

a. 99.30% of the woman meet the height requirement

b.  If all women are eligible except the shortest​ 1% and the tallest​ 2%, then height should be between 58.32 and 68.83

Explanation:

<em>According to the survey</em>, women's heights are normally distributed with mean 63.9 and standard deviation 2.4

a)

A branch of the military requires​ women's heights to be between 58 in and 80 in. We need to find the probabilities that heights fall between 58 in and 80 in in this distribution. We need to find z-scores of the values 58 in and 80 in. Z-score shows how many standard deviations far are the values from the mean. Therefore they subtracted from the mean and divided by the standard deviation:

z-score of 58 in= z=\frac{58-63.9}{2.4} = -2.458

z-score of 80 in= z=\frac{80-63.9}{2.4} = 6.708

In normal distribution 99.3% of the values have higher z-score than -2.458

0% of the values have higher z-score than 6.708. Therefore 99.3% of the woman meet the height requirement.

b)

To find the height requirement so that all women are eligible except the shortest​ 1% and the tallest​ 2%, we need to find the boundary z-score of the

shortest​ 1% and the tallest​ 2%. Thus, upper bound for z-score has to be 2.054 and lower bound is -2.326

Corresponding heights (H) can be found using the formula

2.054=\frac{H-63.9}{2.4}  and

-2.326=\frac{H-63.9}{2.4}

Thus lower bound for height is 58.32 and

Upper bound for height is 68.83

You might be interested in
A pink roses are formed when red roses are mated with white roses.
Gre4nikov [31]

Answer:

true

Explanation:

8 0
2 years ago
There are two types of Direct Stafford Loans, the Direct Subsidized Loan and<br> the:
solmaris [256]

Answer: Interest rates on Direct Stafford Loans are fixed for the life of the loan. Each loan disbursement carries a fee currently at 1.059 percent of the loan amount for disbursements made on or after October 1, 2019 and before October 1, 2020. There are two types of Direct Stafford Loans: Subsidized and Unsubsidized.

Hope this helps....... Stay safe and have a Merry Christmas!!!!!!!!! :D

Explanation:

5 0
2 years ago
Which scale factors produce a contraction under a dilation of the original image? select each correct answer. −2 −12 ​12​ ​​2.
vitfil [10]

Answer:

-2 and -12

Explanation:

A dilation is a transformation of a geometric image that is known to change its size not it shape.

The size of the figure basically depends on the scale factor (k).

When k >1 then there would be expansion.

When k <1 then there would be contraction.

When k=1 then no change in size

I.e for conraction the scale factor (k) must be negative

from the given options, the scale factor produce a contraction under a dilation of the original image would be -2 and -12

<h3 /><h3>Hence the correct answers are:-2 and -12 </h3>

Hope I helped

6 0
2 years ago
What viewpoint is conveyed by sophocles through the following lines spoken by antigone to creon regarding his decree that she di
Lana71 [14]

Answer:

The Gods cannot help save someone from poor decisions he/she has made.

Explanation:

Creon has committed a grave sin by the killing of his own kin partly because he wanted the throne and thus has brought ruin to his own people after the unknowing act of Oedipus and now his willingly killing of his own kin.

When he is repenting and praying to the god for forgiveness, it is through the character of Charagos that the authorial voice speaks and tells him something.

That is being told to him that he must pay for what he has done and he will not be forgiven

4 0
2 years ago
This photo shows that money is worth a piece of paper.
Fynjy0 [20]

Answer:

there is no photo................

5 0
2 years ago
Other questions:
  • Taxes you pay to the federal government are what
    10·2 answers
  • CD's and DVD's both are applications of light. Light is used to read the information on the disc. Which property of light is use
    8·2 answers
  • Relaxing on the beach, Alice put her towel flat on her picnic blanket and the towel are both rectangular, with the towel complet
    11·1 answer
  • What type of energy is associated with food? How is that energy stored? How does food energy change when it is used to do work?
    7·1 answer
  • *SAT QUESTION*
    9·2 answers
  • Ive
    15·1 answer
  • what undergraduate degree can a student earn at a four-year college (not specific to a field of study)?
    15·1 answer
  • Fill in the blank with the Spanish word that best completes the following sentence. Tengo mi vestido en el _________. Ropero tec
    14·1 answer
  • How does the author persuade readers in this essay.
    5·1 answer
  • A sandbox is in the shape of a parallelogram. A diagram of the sandbox is shown. What is the area of the sandbox?.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!