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
Create a problem that would have the answer 3x+12
oee [108]

Answer:

Problem:

Consider a rectangle such that the length of the rectangle is 12 more than thrice its width. Find a formula for the length in terms of its width. Take width as 'x'.

Step-by-step explanation:

Consider a rectangle such that the length of the rectangle is 12 more than thrice its width. Find a formula for the length in terms of its width.

Let the width be 'x'.

Therefore, as per question, length is 12 more than thrice the width.

Thrice the width means 3x. 12 more means adding 12 to the result.

Therefore, the length of the rectangle is 3x+12

So, the above question expresses the length of the rectangle as 3x+12 which is the required answer.

7 0
3 years ago
Solve the inequality and graph the solution |7x-7|+2<23
Naya [18.7K]

|7x-7|+2 < 23\ \ \ \ \ |-2\\\\|7x-7| < 21\iff7x-7 < 21\ \wedge\ 7x+7 > -21\ \ \ \ \ \ |+7\\\\7x < 28\ \wedge\ 7x > -14\ \ \ \ \ \ \ |:7\\\\x < 4\ \wedge\ x > -2\\\\-2 < x < 4

3 0
3 years ago
Ratio equivalents to 1:2
nata0808 [166]
2:4  3:6  4:8

Any ratio equals 1:2 as long as you can divide the first number by itself to get 1 and the second number with the 1st number.
Example
2:4
Divide the first number by 2 and you get 1 
Divide the second number by 2 and you get 2
So the ratio equals 1:2


Please make me brainliest
3 0
3 years ago
Read 2 more answers
debby collected eight times as many bags of cans as her friend .if her friend collected two thirds of a bag. how many bags did d
sergij07 [2.7K]

Answer:

5 1/3

Step-by-step explanation:

I caculated 2/3 times 8

8 0
3 years ago
You have 19 digs for your current volleyball season. There are 5 games left in the season. You want to break your previous recor
Eduardwww [97]

Answer:

x > 7

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Wright a variable expression for the word phrase, "the product of a number z and 7" A: 7 - z
    6·1 answer
  • Practice writing and solving quadratic equations.
    5·1 answer
  • Could someone help me with this math problem?
    6·2 answers
  • 1000÷0.833......................................​
    13·1 answer
  • A survey of 100 college students who frequent the reading lounge of a university revealed the following results: 41 read Time. 3
    13·1 answer
  • A proportional relationship is formed when y=16 and x=-4 what is the value of x when y=4?
    14·1 answer
  • Write -3/16,7/4,-3/8 in order from least to greatest
    6·2 answers
  • 72 inches equals how much yards
    9·2 answers
  • Which is the endpoint of a ray? <br> Point R<br> Point S<br> Point T<br> Point U
    13·2 answers
  • 6.) Find all zeros (real and complex) of the same function<br> f(x) = x4 – x3 - 5x2 - x - 6
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!