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
Marat540 [252]
3 years ago
12

The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a standard deviation of 2.66 inches

. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.54 inches. What percentage of men are SHORTER than 73 inches? Round to nearest tenth of a percent.
Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

Answer:

a) z_man = 2.18

b) 98.5% of men are shorter

c) z_woman = 2.60

e) a 5 ft 11" American woman is relatively taller than a 6 ft 3" American man because the percentage of women shorter than her is 99.5% while the percentage of men shorter than him is 98.5%.

Step-by-step explanation:

Use: z-score = (x - μ)/σ

Convert the height to inches: x_man = 6 ft 3 in. = 6(12) + 3 = 75 in.

z_man = (75 - 69.2)/2.66 = 2.18  -->  from a z-table --> .9854(100) = 98.54%

Convert the height to inches: x_woman = 5 ft 11 in. = 5(12) + 11 = 71 in.

z_woman = (71 - 64.3)/2.58 = 2.60 --> from a z-table --> .9953(100) = 99.53%

You might be interested in
Given g(x) = x² - 6x - 16, which statement is true?
inn [45]

The correct choice of this question with the given polynomial is <em>"The zeros are </em>-2<em> and </em>8<em>, because the factors of g are (x + </em>2<em>) and (x - </em>8<em>)"</em>. (Correct choice: H)

<h3>How to analyze a second orden polynomial with constant coefficients</h3>

In this case we have a second order polynomial of the form <em>x² - (r₁ + r₂) · x + r₁ · r₂</em>, whose solution is <em>(x - r₁) · (x - r₂)</em> and where <em>r₁</em> and <em>r₂</em> are the roots of the polynomial, which can be real or complex numbers but never both according the fundamental theorem of algebra.

If we know that <em>g(x) =</em> <em>x² -</em> 6 <em>· x -</em> 16, then the <em>factored</em> form of the expression is <em>g(x) = (x - </em>8<em>) · (x + </em>2<em>)</em>. Hence, the correct choice of this question with the given polynomial is <em>"The zeros are </em>-2<em> and </em>8<em>, because the factors of g are (x + </em>2<em>) and (x - </em>8<em>)"</em>. \blacksquare

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

4 0
2 years ago
Brainliest for correct answer
kherson [118]

Answer:

a =b

b=d

Step-by-step explanation:

alt angle

corresponding angle

5 0
3 years ago
Which expression would be easier to simplify if you used the associative property to change the grouping?
Scorpion4ik [409]

Answer:

b

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
You use 4 gallons of water on 30 plants in your garden. At that rate, how much water will it take to water 45 plants?
4vir4ik [10]

4 / 30 = .13

.13 • 45 = 6 gallons of water

7 0
3 years ago
Read 2 more answers
Simplify the expression. 5–3 • 7^0
aev [14]

Answer:

5-3x7^0

(5-3)7^0

2x1

2

Step-by-step explanation:

7^0 is 1

and do you want to chat

3 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify 6(A + 2) + 5A. 23A 12A + 11 11A + 12
    9·2 answers
  • Graph the systems of equations. {2x+y=8 −x+2y=6 Use the Line tool to graph the lines.
    8·1 answer
  • How to multiply a whole number and a mixed fraction?
    15·1 answer
  • HELP ME PLEASE
    10·1 answer
  • A loan used for buying a home is called a mortgage.The Carey family is buying a $250,00 home. They are taking out a 15-year mort
    7·1 answer
  • Which of the following illustrates the associative property of multiplication?
    9·1 answer
  • Complete the table for the given rule. Rule: y=X/4(fraction)
    7·1 answer
  • Six bags of Takis costs $13.50. Five bags of Takis costs $10. Which has
    10·2 answers
  • sonja and jake just got married. they received $4500 in gift money and deposited it into a savings account that pays %2.85 simpl
    15·1 answer
  • ????????????????????????
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!