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
son4ous [18]
3 years ago
8

The heights of adult men in america are normally distributed, with a mean of 69.1 inches and standard deviation of 2.65 inches.

what percentage of adult males in america are under 5 feet 7 inches tall? round your answer as a percentage to the nearest whole number.
Mathematics
2 answers:
saul85 [17]3 years ago
8 0

Answer:

Answer is 21%

Step-by-step explanation:

Let X be the heights of adult men in America

X is Normal with mean =69.1 and std dev = 2.65 inches

Percentage of adult males who are under 5 ft 7inches

= height less than 67 inches (since 1 ft = 12 inches)

P(X<67)

=P(Z<\frac{67-69.1}{2.65} =-0.79

=P(Z<-0.79)

=0.5-0.2852

=0.2148

=21.48%

Hence 21% nearly of males in America are shorter than 5'7"

Nesterboy [21]3 years ago
5 0
The solution for this problem is:It's given that the heights are normally distributed. 
5 feet 7 inches = (5*12 +7) inches = (60+7) inches = 67 inches. 
The z-score is (67 - 69.1)/(2.65) = -1.136. The probability is 0.127978 or 12.8%, making probability of a height over 67 inches
You might be interested in
a) The mean age of graduate students at a University is at most 31 y ears with a standard deviation of two years. A random sampl
kari74 [83]

Answer:

A.)

H0: μ ≤ 31

H1: μ > 31

B.)

H0: μ ≥ 16

H1: μ < 16

C.)

Right tailed test

D.)

If Pvalue is less than or equal to α ; we reject the Null

Step-by-step explanation:

The significance level , α = 0.01

The Pvalue = 0.0264

The decision region :

Reject the null if :

Pvalue < α

0.0264 > 0.01

Since Pvalue is greater than α ; then, we fail to reject the Null ;

Then there is no significant evidence that the mean graduate age is more Than 31.

B.)

H0: μ ≥ 16

H1: μ < 16

Null Fluid contains 16

Alternative hypothesis, fluid contains less than 16

One sample t - test

C.)

Null hypothesis :

H0 : μ ≤ 12

. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.

Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12

d.)

If Pvalue is less than or equal to α ; we reject the Null.

3 0
2 years ago
A flagpole is 10 feet tall. It’s shadow is 12 feet long how far is it from the top of the flagpole to the end of its shadow?
Genrish500 [490]

Answer:

The shadow is 11 Ft. away from the pole base.

Step-by-step explanation:

I just usually do this trick in situations like these where if <em>x</em> equals 1, and <em>y</em> equals 2, then <em>z </em>is gonna be 3. 2 goes after 1, and 3 goes after 2. This trick can work in other counting-up situations like this, as long as the number go up, and are right next to each other.

7 0
3 years ago
Read 2 more answers
A carton of 24 bottles of sports drink costs $16. How many bottles of sports drink can you get
MrRa [10]

Answer:

8

Step-by-step explanation:

24 bottles = 16 dollars!

? bottles = 12 dollars

Note:

In these type of Questions, find out  any dollars you could get with 1 bottle

or in simple terms, (first find the unit Rate)

<em>24/16 = 1.5</em>

1 bottle = 1.5 dollars

? bottles = 12 Dollars?

12/1.5

= 8

<h2>I hope that helps! </h2><h3>Have a wonderful day! </h3>
8 0
3 years ago
Callie has $24.65 to spend on groceries. After buying 6 potatoes, she had $18.95 left. If each potato costs the same amount, wha
Finger [1]
Idekcgxhdvdhchsiceycu h hey hcg dad hb SC u job bc I
4 0
3 years ago
Read 2 more answers
A rectangle park measures 300 ft by 400 ft. A sidewalk runs diagonally from one comer to the opposite corner. Find the length o
DochEvi [55]

The length of side walk is 500 feet

<em><u>Solution:</u></em>

Given that, A rectangle park measures 300 ft by 400 ft

Length = 300 feet

Width = 400 feet

A sidewalk runs diagonally from one comer to the opposite corner

We have to find the length of side walk

Which means, we have to find the length of diagonal of rectangle

<em><u>The diagonal of rectangle is given by formula:</u></em>

d = \sqrt{w^2+l^2}

Where,

d is the length of diagonal

w is the width and l is the length of rectangle

<em><u>Substituting the values in formula, we get</u></em>

d = \sqrt{400^2+300^2}\\\\d = \sqrt{160000+90000}\\\\d = \sqrt{250000}\\\\d = 500

Thus length of side walk is 500 feet

5 0
3 years ago
Other questions:
  •  if xy=c^2, prove that x^2 dx/dy+c^2=0
    12·1 answer
  • A pattern exists among the units digit of the posers of 8 as shown in the diagram.
    6·1 answer
  • John and Tim are looking at the equation the square root of the quantity of 3 times x minus 4 equals square root of x . John say
    7·1 answer
  • Can you plz help me??
    8·1 answer
  • Enter the ratio as a fraction in lowest terms2 ft to 54 in.
    11·1 answer
  • Ruth went to the park. She spent 1/4 of her time playing volleyball, 1/2 of her time eating, and the other hour of her time read
    10·2 answers
  • benjamin builds a fence in the shape of a triangle. each side of the fence is the same length. if the perimeter is 36 feet, how
    8·1 answer
  • The density of a certain material is such
    11·1 answer
  • HELP PLEASE ILL GIVE BRAINLY
    7·1 answer
  • Determine the measure of LUXW in the diagram.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!