In a certain country the heights of adult men are normally distributed with a mean of 69 inches and a standard deviation of 2.2 inches. The country's military requires that men have heights between 64.6 inches and 73.4 inches.

Answers

Answer 1

Complete Question

In a certain country the heights of adult men are normally distributed with a mean of 69 inches and a standard deviation of 2.2 inches. The country's military requires that men have heights between 64.6 inches and 73.4 inches.

What percentage of this country's men are eligible for the military based on height?

Answer:

95.45 %

Step-by-step explanation:

We solve using z score formula

z-score iis z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 69

σ is the population standard deviation = 2.2

For x= 64.6 inches

z = 64.6 - 69/2.2

z = -2

Probability value from Z-Table:

P(x = 64.6) = 0.02275

For x= 73.4 inches

z = 73.4 - 69/2.2

z = 2

Probability value from Z-Table:

P(x<73.4) = 0.97725

The probability of this country's men are eligible for the military based on height is calculated as:

p(x = 73.4) - p( x = 64.6)

0.97725 - 0.02275

= 0.9545

Converting to Percentage is

= 0.9545 × 100

= 95.45 %


Related Questions

plsssssssssssssssssssss

Answers

Answer:

It is  D hope this helps

Step-by-step explanation:

It’s the last one 2272

A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1938 mailboxes this week. If each mailbox has dimensions as shown in the figure below, how many square meters of aluminum will be needed to make these mailboxes? In your calculations, use the value 3.14 for pi, and round up your answer to the next square meter.

Answers

Step-by-step explanation:

Area = Area of sides + area of semicircle thing

= (2*0.21*0.31) + (2*0.31*0.61) + (0.21*0.61) + ( 3.14*0.105*0.61) + (3.14*0.105*0.105) = 0.872 m^2

Total area = 0.872 *1106 =964.43 m^2

Answer =965 m^2

PLSS HELPP JUST TWO QUESTIONS REWARD BRAINLIESTTT

Answers

Answer:

1. Growth 2. it growth but then just plug in the number of tdays for the rest of them

Step-by-step explanation:

What's the answer to x^2-6x-8?

Answers

Answer:

0

Step-by-step explanation:

(x-4)(x-2)=0

If any individual factor on the left side of the equation is equal to 0

the entire expression will be equal to 0

Set the first factor equal to 0 and solve

x=4

The final solution is all the values that make

(x-4)(x-2)=0

x=4,2

This will be the last easy question I'll make. tomorrow I'll make two more easy questions.
Whoever answers, I'll give brainliest:) (i won't always choose the first person, it's random btw)

what is 100x 30?
remember to spread kindness <3

Answers

Answer: 3000

100 x 30 = 3000

Answer:

3000 is the answer

Step-by-step explanation:

Here ya go :)

UGHH HELP ME PLSSS FOR EXTRA POINTS AND BRAINLEST

Answers

Answer:

4410

Step-by-step explanation:

:)

im pretty sure its B. 4,410 !

Mr. Easterling went to the store with $75. He purchased three steaks for $10 each and then
bought a certain number of sacks of potatoes for $4.50 each. Write and solve an inequality to
determine the maximum number of sacks of potations he can purchase.

Answers

The inequality is 4.50x+30 is less than or equal too 75 which means the maximum number of potatoes is 10

In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=40°, and QO = 3.1 feet. Find the length of PQ to the nearest tenth of a foot.

Answers

Answer: 2.6 FEET  

Step-by-step explanation:

\tan 40=\frac{x}{3.1}

tan40=  

3.1

x

​  

 

3.1\tan 40=x

x=2.6012\approx \mathbf{2.6}\text{ feet}

x=2.6012≈2.6 feet

Answer:

The answer is 2.6

Step-by-step explanation:

A. 118 degrees
B. 180 degrees
C. 64 degrees
D. 62 degrees

Will you brainliest for the correct answer!!!
Please help!!

Answers

Answer:

62 degrees

Step-by-step explanation:

you need to understand the def.ang.biscectors, it is going to mean if a life bisects another line, the two angles on one side will add up to 180

therefore

180-118=62

PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE

Answers

Answer:

x = 24

Step-by-step explanation:

What I would do is use inverse operation. First do -8 x -3 = 24. Then check your work by doing 24 divided by -3 = -8. So x = 24. I am 100% sure this is correct

Pls mark me brainliest

Find the area of the polygon.

Answers

Answer: 72

Step-by-step explanation: 6*2=12 6*10=60 Normally you would divide by 2 to get triangles but since there are two of each, you don't.

Answer:

Solution given:

diagonal 1=AC=6+6=12units

diagonal 2=BD=2+10=12units

area of polygon (rhombus)=½*(diagonal 1*diagonal 2)

=½(12*12)=12*6=72square units

Area=72square units

Which ordered pairs are solutions to the system of linear equations?
y = 2x + 1
2y - 4x = 2
O (0,1)
O (1,0)
O (2,3)
O (-1, - 1).
0 (0,0)
O (-1,3)

Answers

Answer:

answer is (0,1).........

i'll pay someone to do my math <3

Answers

I would like to be paid, then xD

A pentagon with an apothem 316.6 millimeters long and a side 460 millimeters long. Find the perimeter and area

Answers

How to find can u send the pic of this question

Determine the missing side length:
I will give 25 points for the answer!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

Use Pythagorean theorem

Base²+ altitude² = hypotenuse²

Base² + (√3)²   = (2√3)²

Base² + √3 *√3 = 2√3 *2√3

Base² + 3           = 4*3

Base² + 3           = 12

              Base²  = 12 - 3

              Base²  = 9

              Base    = [tex]\sqrt{9}=\sqrt{3*3} =3[/tex]

Where is the function increasing? A) 1 < x < ∞ B) 3 < x < ∞ C) -∞ < x < 1 D) -∞ < x < 3
please hurry i have 5mins

Answers

Answer: I think its A

Step-by-step explanation:

The given function is  increasing from 1 to ∞. Therefore, option A is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the given graph, the vertex is (1, -2)

For a function y = f(x), if the value of y increases on increasing the value of x, then the function is an increasing function.

Here, the function is increasing from 1 to infinity.

Therefore, option A is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ3

explain rounding up numbers i dont mean only examples but definitions too

Answers

Answer:

Rounding up numbers means to make a number with many numerical values or digits into a more simpler way.

Step-by-step explanation:

In order to round up a number you have to look to the digit next to it and if its greater then five it rounds up, if it's less then five it stays the same. If the number only has one digit then you have to look at that number and round up by seeing if its greater than or less than five.

Examples:

[tex]7[/tex]

[tex]7>5[/tex]

[tex]7=10[/tex]

7 rounded up equals 10 because 7 is more near 10 then it is to one.

Round the number 12,371 to the nearest thousand.

This means to find the thousands place value (two) check the number next to the thousands place value (hundreds or three) and check to see if that number is greater then five or not.

[tex]12,371[/tex]

[tex]3 <5[/tex]

[tex]=12,000[/tex]

Therefore the 12,371 rounded to the nearest thousand is "twelve-thousand" and that's because three is not greater then or equal to five.

Hope this helps.

Find x and y.

x = 18, y = 9
x = 4, y = 9
x = 4, y= 27
x = 9, y = 24

Answers

Answer:

the answer is c hope is helps

Help!!
what's 7e-9-3e for e=6? ​

Answers

Answer:

15

Step-by-step explanation:

7e (7×6) = 42

42 - 9 = 33

3e (3×6) = 18

33 - 18 = 15

You’re answer is 15. Hope this helps

PLS HELP FOR 60 POINTSS PLSS IF U HELP ILL SEND 30 MORE POINTSS

There are 3 times as many students participating in the hiking trip this year than last year. There are 42 students on the trip this year.

1.Write an equation that represents the number of students that came on the hiking trip last year

2.How many students attended the hiking trip last year?

Answers

Answer:

1.  42/x

2.  14 students

Step-by-step explanation:

1.  42 divided by x

    x=students on trip last year

2. 42 divided by 3

    42/3=14 students this year

 

2e+46-536+62b=


e=53
b=4

Answers

-136 is your answer

Answer:

-136

Step-by-step explanation:

Find the distance between the pair of points. ​(4​,1) and ​(9​,6​)

Answers

Answer:

5√2 or 7.07 units

Step-by-step explanation:

To find the distance between two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the given values of (4​,1) and ​(9​,6​)

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(9 - 4)² + (6 - 1)²]

Simplify the parentheses.

d = √[(5)² + (5)²]

Simplify the exponents.

d = √[25 + 25]

Add.

d = √[50]

Evaluate the radical.

5√2 or 7.07

Round the decimal.

5√2 or 7.07 units

Hope this helps!

Evaluate the expression 4+x3. When x is 3.

a. 12
b. 36
c. 31
d. 49
??

Answers

Answer:

a

Step-by-step explanation:

The answer to the question is a

I RLLLLYYY NEED HELP ASAP ILL GI S BRAINLIEST

mr. torres ordering 250 School t-shirts to sell in a school store the t-shirts come in blue gray or red to know how many of each color to order mr. torres polled a random sample of students l.the results are in the table​

Answers

Answer:17

Step-by-step explanation:

so i think it would be 17 as 5 is equivlent  to 8.33 percent of 60 which is the total amount of kids and 8.33 percent of 250 is 20 but since i think ur school rounds that percentage it would 17 red shirts

The results are in the table​ of the 250 total T-shirts about should be red 17.

We have given that,

Mr. torres ordered 250 School t-shirts to sell in a school store the t-shirts come in blue-gray or red to know how many of each color to order Mr. Torres polled a random sample of students. the results are in the table​.

What is the random sample?

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.

So I think it would be 17 as 5 is equivalent to 8.33 percent of 60 which is the total amount of kids and 8.33 percent of 250 is 20 but since I think your school grounds that percentage it would be 17 red shirts.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

i dont know how to do this, please help​

Answers

Answer:  B= 11

Step-by-step explanation:

If ε = {whole numbers less than 50 but greater than 20} and X = {perfect squares}, Y = {factors of 12}, Z = {prime numbers}; find the following:
a) X ∪ Y
b) X ∩ Y
c) X ′
d) X′ ∩ Y ∩ Z

Answers

Answer:

A. X∪Y = {25, 36, 49}

B. X∩Y = ∅ i.e empty set

C. X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

D. X′∩Y∩Z = ∅

Step-by-step explanation:

We'll begin by determining the universal set (ε), set X, set Y and set Z.

This can be obtained as follow:

ε = {whole numbers less than 50 but greater than 20}

ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

X = {perfect squares}

X = {25, 36, 49}

Y = {factors of 12}

Y = ∅ i.e empty

Z = {prime numbers}

Z = {23, 29, 31, 37, 41, 43, 47}

A. Determination of X∪Y

X = {25, 36, 49}

Y = ∅

X∪Y =?

X∪Y => combination of elements in set X and Y without repeating any element in both X and Y.

X∪Y = {25, 36, 49}

B. Determination of X∩Y

X = {25, 36, 49}

Y = ∅

X∩Y =?

X∩Y => elements common to both set X and Y

X∩Y = ∅ i.e empty

C. Determination of X′

ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

X = {25, 36, 49}

X' =?

X' => elements in the universal set but not found in set X.

X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

D. Determination of X′∩Y∩Z

X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

Y = ∅

Z = {23, 29, 31, 37, 41, 43, 47}

X′∩Y∩Z =?

X′∩Y∩Z => elements common to set X', Y and Z

X′∩Y∩Z = ∅

Mrs Riley drove her car at 60 miles in 4 hours How far did she travel in 1 hour

Answers

Answer:

15 miles

Step-by-step explanation:

If 4 hours = 60 miles

  1 hour   = ?

(cross multiplication)

60/4

= 15 miles

the sum of three consecutive odd numbes is 57 what are the three numbers​

Answers

Answer: 17, 19, and 21

I think these are correct, hope it helps!

A jar had 88 coins. 1/3 of the coins were silver. How many coins were gold?​

Answers

Answer:

There are 66 gold coins in the jar

Step-by-step explanation:

Let the number of silver coins = X

Then the number of gold coins = 3X (as there are 1/3 number of silver coins as gold)

Total coins =88

Total coins = silver coins + gold coins

Total coins = X + 3X = 88

Total coins = 4X = 88

X = 88/4

X = 22

No. Of silver coins = 22

No. Of gold coins  = 3X = 3×22

No. Of gold coins = 3X= 66

Check

Total coins = 3X + X = 88

66+22 = 88

88 = 88

Hope it helps...

Have a great day :P

Answer:

Hello There!!

Step-by-step explanation:

Let the number of silver coins be x and gold coins be 3x which add up to 4x. Make an expression and add 88 with 4x so 4x=88

x=22(88÷4).

So x=22[silver coins]

3x=66(22×3) [gold coins]

hope this helps,have a great day!!

~Pinky~

If f(x)=x²+1 and g(x)=5x−3, what is f(g(x))?

Answers

Answer:

[tex]25x^{2} -30x+10[/tex]

Step-by-step explanation:

Plug in 5x-3 into f(x) so

[tex](5x-3)^2 + 1 = 25x^2 -30x+10[/tex]

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