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
notka56 [123]
3 years ago
11

In the United States, the mean and standard deviation of adult men's heights are 70 inches (5 feet 10 inches) and 4 inches, resp

ectively. Suppose the American adult men's heights have a normal distribution Whe probability that a randomly chosen American man is taller than 6 feet (72 inches) is equal to:___________. (round off to fourth decimal place, use the given table)
a. 0.6853
b. 0.0062
c. 0.3085
d.0.6915
e. None of these
Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0

Answer:

P(X>72)=P(\frac{X-\mu}{\sigma}>\frac{72-\mu}{\sigma})=P(Z>\frac{72-70}{4})=P(z>0.5)

And we can find this probability using the complement rule and the normal standard table:

P(z>0.5)=1-P(z

And the best solution would be:

c. 0.3085

Step-by-step explanation:

For this case we can convert all the values to inches in order to standardize the solution:

5ft * \frac{12 in}{1ft}= 60 in

6ft * \frac{12 in}{1ft}= 72 in

Let X the random variable that represent the heights of US mens, and for this case we know the distribution for X is given by:

X \sim N(70,4)  

Where \mu=70 and \sigma=4

We are interested on this probability

P(X>72)

We can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

Using this formula we got:

P(X>72)=P(\frac{X-\mu}{\sigma}>\frac{72-\mu}{\sigma})=P(Z>\frac{72-70}{4})=P(z>0.5)

And we can find this probability using the complement rule and the normal standard table:

P(z>0.5)=1-P(z

And the best solution would be:

c. 0.3085

You might be interested in
The circumference of a circle is 12 pi what is the diameter​
Zolol [24]

Answer:

Step-by-step explanation:

Givens

C = 12 * pi

C = 2*pi * r

Solution

2*pi * r = 12*pi                        Divide both sides by 2pi

2*pi * r/ 2*pi = 12*pi/2pi

r = 6

Answer: the diameter = 2 * r

the diameter = 12

5 0
3 years ago
The lovin lemon company sells a 4 gallon jug of lemonade for $24 the sweet and sour company sells an 8 pack of 1 quart bottles o
Angelina_Jolie [31]
The 8 pack of 1 quart bottles of lemonade is the higher price unit because 4 gallons equal 16 quarts. 16 divided by 2= 8 and 24 divided by 2 =12 dollars. so therefore 8 quarts of "lovin lemon" company is $12 and 8 quarts of "sweet and sour" company is $16 so THE ANSWER IS: "SWEET AND SOUR" COMPANY HAS THE HIGHER UNIT RATE.
5 0
3 years ago
Given the lengths of the sides which of the following would NOT be a right triangle?
zmey [24]
• 9.12.16
&
• 33,45,55
5 0
2 years ago
How can △WXY be mapped to △MNQ?
Alexeev081 [22]
The answer is : 2)line segment wy
8 0
2 years ago
Please help me answer!!! ^^
yKpoI14uk [10]
The answer will be 0-0-
5 0
3 years ago
Other questions:
  • Which sentence explains the correct first step in the solution of this equation?
    7·2 answers
  • The simple interest on a certain sum of money is 3/8 of the the sum after 6 1/4 years. Find the the rate per cent charged.
    9·1 answer
  • Solve the formula Ax + By= C for A.
    14·1 answer
  • If two lemons cost 15 cents, how many can be bought for 60 cents
    7·2 answers
  • (4x +7)<br> (10x - 23)<br> (7x - 35)<br> What is the value of 2? Fill in the blank with the answer
    9·1 answer
  • Select the correct answer from each drop-down menuShape I is similar to shape II
    13·2 answers
  • Suppose that you turn on the hot water, which flows at 8.7 liters per minute into the bathtub. Two minutes later you also turn o
    7·1 answer
  • How do you write 4.5 × 102 in standard form?
    7·2 answers
  • LOTS OF POINTS!!!!! HELP PLEASE EXPLAIN CLEARLY AND YOU GET BRAINIEST!!!!!
    13·2 answers
  • Sin2A+sin2B+sin2C÷4cosA/2.cosB/2.cosC/2​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!