the heights of adult males are approximately normally distributed with a mean of 70 inches and a standard deviation of 3 inches. an adult male is categorized as shirt if he is less than 64 inches tall and categorized as tall if he is in the top 2% of adult males in term of height. how tall does an adult make need to be to be assigned to the tall category.

Answers

Answer 1

Answer:

76.2

Step-by-step explanation:

Use a calculator or chart to find the z-score associated with the probability.

P(Z > z) = 0.02

P(Z < z) = 0.98

z = 2.054

Find the height.

z = (x − μ) / σ

2.054 = (x − 70) / 3

x = 76.2


Related Questions

A market research firm conducts telephone surveys with a historical response rate. What is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions

Answers

Answer:

The answer is "0.96562".

Step-by-step explanation:

please find the complete question which is defined in the attached file.

Given value:

[tex]\to p = 0.42 \\\\\to q = 1 - p[/tex]

      [tex]= 0.58[/tex]  

[tex]\to n = 400\\\\\to x = 150 \\\\\to P = \frac{X}{n}\\[/tex]

        [tex]= \frac{150}{400}\\\\ = 0.377[/tex]

When:

   [tex]\to P(P>0.375)\\\\[/tex]

[tex]=P(\frac{P-p}{\sqrt{ \frac{pq}{n}}}>\frac{0.375-0.42}{\sqrt{\frac{0.42 \times 0.58}{400}}})[/tex]

[tex]=P(Z>-1.82) \\\\=1-P(Z>1.82)\\\\=1-0.034380\\\\ =0.96562[/tex]

What is the angle relationship?

Answers

the measurement of Angle 1 is 61 degrees.

Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound. How much of each brand of coffee is needed to make 5 pounds that will cost
$6.75/pound?

A. 0.8 pounds Brand A, 4.2 pounds Brand B
B. 2.7 pounds Brand A. 2.3 pounds Brand B
C. 4.2 pounds Brand A. 0.8 pounds Brand B
D. 2.3 pounds Brand A. 2.7 pounds Brand B

Answers

Answer:

C. 4.2 pounds Brand A. 0.8 pounds Brand B

Step-by-step explanation:

How much of each brand of coffee is needed to make 5 pounds that will cost

$6.75/pound?

Let the number of pounds for Brand A = x

Let the number of pounds for Brand B = y

Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound.

$7 × x + $5.40 × y = $6.75 × 5

7x + 5.40y = 33.75.......Equation 1

x + y = 5 .......Equation 2

x = 5 - y

7(5 - y)+ 5.40y = 33.75

35 - 7y + 5.40y = 33.75

35 - 33.75 = 7y - 5.40y

= 1.25 = 1.6y

y = 1.25/1.6

y = 0.78125 pounds.

Approximately to the nearest whole number, Brand B = 0.8 pounds.

x = 5 - y

x = 5 - 0.8 pounds

x = 4.2 pounds

Brand A = 4.2 pounds

angle 4 and angle 5 are ??? angles will mark brainiest ​

Answers

Answer:

Alternate interior

Step-by-step explanation:

They are inside making them interior angles and they are on opposite sides making them alternate angles as well.

Hope this helps!

Answer:

alternate interior

Step-by-step explanation:

alternate interior angles are congruent if and only lines are parallel.

∠4 ≅ ∠5

Round to the nearest thousand 11,621

Answers

Answer:

12,621

Step-by-step explanation:

when rounding there asking for the thousands therefore you have to look at the hundreds place and since there's a six in the hundreds place the one is going to change to a 2 the answer is 12,621

sin theta= 0.86
sin theta= -0.05
cos theta = 0
0= -2-2tan theta
-3 + 1/4 tan theta = -11/4
4-8cos theta= 0
4= 3tan^2 theta + 3
4sin^2 theta-5 = -4
root 2 tan theta + 2 tan theta = -2 tan theta cos theta + 2 tan theta
3cos theta- 2 cos^2 theta =1
2 root 3 sin^2 - sin^2 theta = 3 sin theta - sin^2 theta


ILL GIVE BRAINLIEST

Answers

Answer:

0.24

Step-by-step explanation:

{(0, -8), (5,3), (-4,3), (9, 2)}
Does the following relation represent a function?
A.Yes
B.No

Answers

yes, x values don’t repeat

Answer:

Yes

Step-by-step explanation:

If you look at all of the x values: 0,5,-4,9

You can see that none of them repeat. This makes it a function.

I need help with my homwork, and understanding how to solve it

Problem:

Answers

Answer:

Sorry, I cant read whole problem. Edit your question and ill fix my answer

Step-by-step explanation:

what integer represents a gain of $9

Answers

Positive 9 dollars because your gaining money which is positive.

Which postulate or theorem would you use to prove these two triangles congruent?

Answers

Answer:

ASA

Step-by-step explanation:

Both triangles are marked on the Angle, a Side, and Another Angle

A square has a perimeter of 51.6 inches. What is the length of each side?
13 inches
129 inches
12.9 inches
1.29 inches

Answers

Answer:

12.9

Step-by-step explanation:

A square has even lengths on each side. Since there is 4 sides on a square. We divide perimeter by 4.

51.6/4 = 12.9 inches

The length of each side of the square is 12.9 inches if perimeter of square is 51.6 inches.

What is Quadrilateral?

A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.

The perimeter of a square is the sum of the lengths of all its sides.

Let a be the length of each side of the square, then the perimeter P is given by:

P = 4a

We are given that the perimeter is 51.6 inches, so we can set up the equation:

51.6 = 4a

Solving for a, we divide both sides by 4:

a = 51.6/4

a = 12.9

Therefore, the length of each side of the square is 12.9 inches if perimeter of square is 51.6 inches.

To learn more on Quadrilateral click:

https://brainly.com/question/6321910

#SPJ7

Consider the equation: x^2+10x-24=0 First, use the " completing the square " process to write this equation in the form ( x+D )^2 = E and enter the results below x^2 + 10x -24 = 0is equivalent to......? = ?

Answers

Answer:

[tex]x^2 + 10x -24 = 0 \: \\ is \: equivalent \: to \: ( x + 2) {}^{2} + 10x - 36=0[/tex]

Step-by-step explanation:

[tex]x^2 + 10x -24 = 0 \\ x^2 + 12x - 2x -24 = 0 \\x(x + 12) - 2(x + 12) = 0 \\ (x - 2)(x + 12) = 0[/tex]

tina eats 8 crackers for a snack each day at school. on Friday she drops 3 and only eats 5. how many did tina eat during the week?​

Answers

Answer:

52

Step-by-step explanation:

8x5-3+5=?

What is the line of reflection between pentagons PQRST and P′Q′R′S′T′?

A. x = 0
B. y = x
C. y = 0
D. x = 1

Answers

Answer:

b

Step-by-step explanation:

Answer: D:  y = 0

Step-by-step explanation: Hope that helped

PLS HELP! CLICK HERE!!!!!

Answers

Answer:

its 2

Step-by-step explanation:

bc i said so period

Miki bought some erasers at the school store for $0.39. After
paying for the erasers, she had $0.13 left. Which amount is a
reasonable estimate of the money Miki had to start with?

Answers

She either had $0.52 or more because it doesn’t say how many erasers she got

}−2x+2y=−4
{3x+3y=−18
find the solution to the systems of equations

Answers

Answer:

Answer=

x=(-2),y=(-4)

and in components form,

(-2,-4)

Step-by-step explanation:

equation1 (-2x+2y=-4)

equation2 (3x+3y=-18)

(times equation 1 by 3 and times equation 2 by 2, to make the y values equal to each other)

E1 (-6x+6y=-12)

E2 (6x+6y=-36)

(subtract both equations from each other)

-6x+6y=-12

-

6x+6y=-36

=(-12x=24)

so, x=24÷-12=-2

(then we sub the value of x into one of the equations- the new one or the old one)

3x+3y=-18

(3×-2)+3y=-18

3y=-18+6=-12

y=-12÷3=-4

can i have 300mn + 500mn =_________________________________________________________________________________________________i need help

Answers

Answer:

yes it would be 800mn

Step-by-step explanation:

JK has endpoints at J(5,9) and K(7, 7). Find the midpoint M of JK.
Write the coordinates as decimals or integers.

Answers

Answer:

[tex](6,8 )[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

Simply plug in your coordinates into the midpoint formula to find midpoint:

[tex](\frac{5+7}{2},\frac{9+7}{2} )[/tex]

[tex](\frac{12}{2},\frac{16}{2} )[/tex]

[tex](6,8 )[/tex]

If f(x) = 3x2 + 2x - 2, find f(8) - f(-5)

Answers

Answer: 143

Step-by-step explanation:

f(8) = 3(8)^2 + 2*8 - 2 = 3*64 + 16 - 2 = 192 + 16 - 2 = 206

f(-5) = 3(-5)^2 + 2*(-5) - 2 = 3*25 + (-10) -2 = 75 - 10 - 2 = 63

f(8) - f(-5) = 206 - 63 = 143

Problem #1: A group of 5 people went white water rafting. They spent a total of
$1000. They made a deposit of $50 per person and paid $125 an hour to rent the
equipment needed. How many hours did they spend white water rafting? I
Problem #2:

Answers

$750

They spent 6 hours white water rafting.

$50x5=250

$250- $1000=$750

please help. I will mark brainleist

Answers

Can I see the options?

Four students spent $12 on school lunch. At this rate, find the amount 10 students would spend on the same lunch.

Answers

Answer:

it's $30 I just know trust meO_o

Step-by-step explanation:

have an amazing day luv

Answer:

10 students would pay for lunch with $30.

Step-by-step explanation:

This is how I know $30 is the correct answer:

1. To figure out how much money it would cost for 1 student I would take the $12 the four students paid for lunch and divide it by 4 so we would know the exact cost for one students lunch (12/4=3 or $3)

2. Now we know $3 is the cost for 1 student. We can now multiply the $3 by 10 (students) so we can get the cost for 10 lunches (3(10)=30 or $30)

3. We got our final answer of $30=10 students lunches.

I hope this helps:)

Solve -19x-1=-12x+34

Answers

Answer:

x=-5

Step-by-step explanation:

you're welcome

18 yd = 6 ft
O True
O False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

It's the other way around. A yard is three feet.

Which expression is equivalent to (2g^5)^3

Answers

Answer is 8g^15
Pls mark me brainliest

Answer:

Your answer should be 8g^15

Step-by-step explanation:

If cubed (power of 3) is on a parenthesis, that means you have to cube every expression inside that parenthesis. In order to distribute exponents, mutliply them. This gives you g^5 times ^3, which is g^15. ^3 has to also be distributed to the 2, which is 2^3 = 8. 8 and g^15 is 8g^15.

x/2.4+39=239
show work

Answers

Answer:  x = 480

Steps: x/2.4 + 39 = 239

Subtract 39 from both sides: x/2.4 + 39 - 39 = 239 - 39

Simplify: x/2.4 = 200

Multiply both sides by 2.4: x/2.4  ×  2.4 = 200 ×  2.4

Simplify: x = 480

Plz mark brainliest:)

2 times what equals 84

Answers

Answer:

42

Step-by-step explanation:

Let x be the missing number in the equation

Write out the equation: 2x = 84Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 42

I hope this helps!

Solve the following inequality.

−1

Answers

Answer:

any thing, not 1 or -1

Step-by-step explanation:

the equality to any number is either itself or its opposite 1 inequality would be 2-infinite or -2- -infinite and zero

Any thing not -1 or 1

Write an equation in slope-intercept form of the line
4. with slope -6 that contains a point (8,-6)

Answers

Answer:

y=-6x+42

Step-by-step explanation:

answer is able

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