Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall. Approximately what percent of the adult male population is taller than the average basketball player? (2 points)

a
0.135%

b
0.875%

c
49.875%

d
99.875%

Answers

Answer 1
This answer did not come from me but credit to ApusApus
We have been given that adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall.
We need to find the area of normal curve above the raw score 79.
First of all let us find the z-score corresponding to our given raw score.
, where,
,
,
,
.
Upon substituting our given values in z-score formula we will get,



Now we will find the P(z>3) using formula:


Using normal distribution table we will get,


Let us convert our answer into percentage by multiplying 0.00135 by 100.

Therefore, approximately 0.135% of the adult male population is taller than the average basketball player and option A is the correct choice.

Related Questions

PLZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!


FIND what was the mistake
and what is the correct answer

Answers

Answer:

Step-by-step explanation:

Instead of dividing both sides by 5, it is multiplied

5x + 3 = 6            {Subtract 3 from both sides}

5x + 3 - 3 = 6-3

            5x = 3       {Divide both sides by 5}

           5x/5 = 3/5

                 x = 3/5


A copy machine makes 126 copies in 4 minutes and 30 seconds. How many copies does it make per minute?

Answers

Answer:

it makes about 41 copies per minute

it makes 41 copies ;)

Sheila's class recycles a total of 6 pounds of paper in 2
weeks. After 5 weeks, how many pounds of paper will
Sheila's class have recycled?

Answers

Answer:

It should be 15 pounds

Step-by-step explanation:

If you divide 5 weeks (the amount you need) by 2 weeks (the current ratio 6:2) then you get 2.5. Lastly just multiply 6 pounds to it (the other part of the ratio/ pounds per 2 weeks)

Help! GHJ Café sells Medium and large coffees to locals in Downtown Dallas. If 7 medium cups and 10 large cups of coffee are sold, the café makes $68.75 in sales. If 10 medium and 15 large cups are sold, the total sales is $101.25. How much does a large cup of coffee sell for at GHJ Café?

Answers

Answer:

Large cup cost $4.25

Step-by-step explanation:

Medium:  x

   Large:  y

Constraints:

  7x + 10y = 68.75

  10x + 15y = 101.25

Isolate y variable:

     (7x + 10y = 68.75) * -10    ===>    -70x - 100y =  -687.50

   (10x + 15y = 101.25) * 7       ===>     70x + 105y = 708.75

                                                        ____________________

   add the two equations                                 5y = 21.25

   divide by 5                                                      y = 4.25

-2 (1 - 4x)=3x +8 is

Answers

Answer:

= 2      

1. Rearrange terms

2.Distribute

3. add 2  to both sides of the equation

4.Simplify

5.Subtract 3  from both sides of the equation

6. Simplify again

7. Divide both sides of the equation by the same term

8. Simplify one more time

What is the answer of the chart (picture) please help

Answers

Answer:

DARK Blue! 0.4!

Step-by-step explanation:

Perform the indicated operations. Write answer in descending order.

Add -3x, 5x + y, and 7x - 8 - 3y

Answers

9x - 2y - 8
F I N A L A N S W E R

The required sum of -3x, 5x + y, and 7x - 8 - 3y in descending order is 9x - 2y - 8.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
To add -3x, 5x + y, and 7x - 8 - 3y, we can first combine like terms.

Group the x-terms together:

-3x + 5x + 7x = 9x

Group the y-terms together:

y - 3y = -2y

Group the constants together:

-8

Putting it all together, we get:

9x - 2y - 8

Therefore, the sum of -3x, 5x + y, and 7x - 8 - 3y in descending order is 9x - 2y - 8.

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Kate is 17 years old and victor is 12 years younger. In how many years will kate be twice as old as victor

Answers

Answer:

In 2 years

Step-by-step explanation:

When Kate turns 20, Victor will be 10.

20 is twice as much as 10 (10*2=20)

hope this helps!

Answer:

In 7 years Kate will be twice as old as Victor

Step-by-step explanation:

Victors age: 17-12=5

Kate's age:17+7=24

Victors age:5+7=12

24 divided by 2 equals to 12.

~~~~~~~

Check your answer

5+12=17

24-7=17

12-7=5

12*2=24

In triangle OPQ, p = 38 cm, q = 29 cm and Angle O=39º. Find the length of o, to the nearest
centimeter.

Answers

Answer:

The length of o is 24 centimeters

Step-by-step explanation:

In Δ OPQ

∵ Side p is opposite to ∠P

∵ Side q is opposite to ∠Q

∵ Side o is opposite to ∠O

→ To find side o we must use the cosine rule

∴ o = [tex]\sqrt{p^{2}+q^{2}-2(p)(q).cos(O) }[/tex]

∵ p = 38 cm

∵ q = 29 cm

∵ m∠O = 39°

→ Substitute them in the rule to find o

∴ o = [tex]\sqrt{(38)^{2}+(29)^{2}-2(38)(29).cos(39)}[/tex]

∴ o = 23.92008154

→ Round it to the nearest centimeter (whole number)

o = 24 centimeters

The length of o is 24 centimeters

What is 160% of 40? Four students solved this problem and their work is shown below. Choose the student whose work is correct. Cam's work. 16 times 40 = 00 .00 + 640 = 640. Gitana's work. 1.6 times 40 = 00. 00 + 640 = 64.0. Naoko's work. 0.16 times 40 = 00. 00 + 640 = 6.40. Sanjay's work. 160 times 40 = 00. 00 + 6400 = 6400.

Answers

Answer:

Gitana's work is correct

Step-by-step explanation:

Divide 40 with 100 then multiply it by 160

40 ÷ 100 × 160 = 64

Answer:

Gitana is correct.

Step-by-step explanation:

A parent is using a garden hose to fill up a small inflatable pool for her young child. The
pool has a capacity of 90 gallons. She turns the water off after 5 minutes, but leaves the
hose in the pool for another 3 minutes before putting it away.
In this situation, the relationship between the gallons of water in the pool and the 8
minutes since the parent started filling the pool can be seen as a function.
1. In that function, which variable is independent? Which one is dependent?

Answers

Answer:

The independent is the 90 gallons and the dependent is the 8 minutes.

Hope this helps!

Step-by-step explanation:

Find the lcm of 13 and 49

Answers

Answer:

637

Step-by-step explanation:

13 * 49 = 637

Answer:

it's 637 trust me ........

please help :( Find m
156°

78°

162°

81°

Answers

165

Is your answer

ggg do gets go t ra di

Marge home is Is heated by hot water circulating in pipes recently the system developed a Smalley Inn loses 1 1/5 mm every 30 minutes uses complex fraction to find the amount of water in system per minute

Answers

Answer:

why are we stilll here

Step-by-step explanation:

Have to find x and y . Please help!

Answers

Answer:

Step-by-step explanation:

x can be anything so let’s use 0, 1, 2, and 3 for x values

to find the y values, we just plug in the x values into the equation

when x = 0

y = 5/4(0) -2

y = 0 -2

y = -2

(0, -2) (x = 0, y = -2)

when x = 1

y = 5/4(1) -2

y = 5/4 -2

y = 5/4 -8/4

y = -3/4

(1, -3/4) (x = 1, y = -3/4)

when x = 2

y = 5/4(2) -2

y = 10/4 -2

y = 5/2 -4/2

y = 1/2

(2, 1/2) (x = 2, y = 1/2)

when x = 3

y = 5/4(3) -2

y = 15/4 -2

y = 15/4 -8/4

y = 7/4

(3, 7/4) (x = 3, y = 7/4)

Answer:

Table shown below

Step-by-step explanation:

Table of Values

We are given the function:

[tex]\displaystyle y=\frac{5}{4}x-2[/tex]

And it's required to fill the table of values for x and y with the condition that there are only integers.

Given the expression has a denominator of 4, to ensure there are no decimals in the results, we select values of x that are multiple of 4.

Select the values: {-4,0,4,8}

Now calculate the corresponding values of y.

x=-4

[tex]\displaystyle y=\frac{5}{4}(-4)-2=-5-2=-7[/tex]

y=-7

x=0

[tex]\displaystyle y=\frac{5}{4}(0)-2=0-2=-2[/tex]

y=-2

x=4

[tex]\displaystyle y=\frac{5}{4}(4)-2=5-2=3[/tex]

y=3

x=8

[tex]\displaystyle y=\frac{5}{4}(8)-2=10-2=6[/tex]

y=8

The filled table is shown in the attached image

If 2 more than 2/3 of a certain number is
8, then the number is​

Answers

Answer:

4/3 because 2/3x2/1=4/3×2=8/6÷2=4/3

Please help! Find X:
5

31

10

60

Answers

Answer:

x=10

Step-by-step explanation:

Please help! Find m

160°

260°

50°

80°

Answers

Answer:

The answer is 80°.

Step-by-step explanation:

360° - 100° = 260°

260° - 100° = 160°

160° / 2 = 80°

* the theorem is m < UTS = 1/2 (m < UTS - m < US)

* m = measure

The measure of m<UTS is 80 degree.

The correct option is D.

What is Arc?

An "arc" is a smooth curve that connects two points in mathematics. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference.

A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be created by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.

We have,

From the figure we can write

m < UTS = 1/2 (m < UTS - m < US)

As, m <UTS = 360 and arc US = 100

= 1/2(360° - 100° - 100)

= 160° / 2

= 80°

Thus, m< UTS is 80 degree.

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Find x AND the length of each side if FGH is an equilateral triangle. (Round to the nearest tenth if needed)

Answers

Answer:

x = 3

Each side is 19

Step-by-step explanation:

HF = FG = HG cuz this is an equilateral triangle, meaning all sides are equal.

What is the median of the numbers ?

Answers

Answer:

4.5

Step-by-step explanation:

Its the middle of all of the numbers

Answer:

Its 5

Step-by-step explanation:

3 and 4 has 4 X's

6 has also 4 X's

so it leaves with 5.

Help now fast please

Answers

2y64xxy43x686ex4226xe

About how much should the gratuity for the restaurant server be? Round the percent of gratuity to the nearest benchmark percent to find the answer.

$ _____

Answers

The gratuity of the hotel server has to be $8.

How to solve for the gratuity

The tax of the restaurant server is 8.5 percent

We have tro find this based on salary

40 dollars x 0.85 = 34

The income 34 - 18

= 16

Half of 16 = 8

Hence the amount that is the percentage of gratuity is 8 percent.

Read more on gratuity here:

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log x = log(x + 3) - log(x - 1)

Answers

First note that log(x) is defined only for x > 0; log(x + 3) for x > -3; and log(x - 1) for x > 1. So if we find any solutions x ≤ 1, these will be extraneous.

Condense the right side:

log(x) = log((x + 3) / (x - 1))

Let b be the base of the logarithm. Then writing both sides as powers of this b simplifies the equation to

b^log(x) = b^log((x + 3) / (x - 1))

x = (x + 3) / (x - 1)

Solve for x :

x (x - 1) = x + 3

x ² - x = x + 3

x ² - 2x - 3 = 0

(x - 3) (x + 1) = 0

x - 3 = 0   or   x + 1 = 0

x = 3   or   x = -1

We throw out x = -1 because it's less than 1, so the only (real) solution is x = 3.

Please find attached photograph for your answer.

PLZZZZZZZZZZZZZZZZ
Solve each equation for the variable. Show every step in your work

-5x+12=20

Answers

Answer:

x = -(8/5)  or  -([tex]\frac{8}{5}[/tex])

Step-by-step explanation:

-5x+12=20

-5x=20-12

-5x=8

x = -(8/5)  or  -([tex]\frac{8}{5}[/tex])

Answer:

×=(-1.6)

Step-by-step explanation:

First we want to subtract 12

Subtraction property of euality

-5x=8

Division property of equality

x=(-1.6)

What is the measure of angle DEC?

Answers

Answer:

95

Step-by-step explanation:

dct equals 140, dct also equal det plus edc, so 140 - 45 = 95

Given the relation y = 7x2 + 3, if the input is 4, what is the output?

115
116
118
120

Answers

The answer would be

155

Have a good day bye!

Answer:

ur answer would be 115!

Step-by-step explanation:

I got it right on the test!!

:--)

Sean's father decided that the number of hours Sean should study daily is equal to the equation y + 4 16. where y is the

number of study hours and z is the number of relaxation hours. Sesn's mother believes that the number of hours Sean should study

dally should be equal to the equation 2y + 5z = 32. Sean's parents have decided to use both equations to determine the number

of hours Sean should study and relax What is an equivalent equation to the addition of Sean's mother's equation and Sean's father's

equation? Select all that apply.

Answers

Answer and explanation:

We add both equations to get a simultaneous equation

y+4z=16

2y+5z=32

We solve the equations using elimination method:

Multiply equation 1 by 5 and equation 2 by 4 to cancel out z

5y+20z=80

8y+20z=160

-3y=-80

Y=26.7

Substitute y=26.7 in equation 1

26.7+4z=16

4z=16-26.7

z= -2.67

y+z=26.7+(-2.67)= 24.03

In the xy-plane, the line with equation
y = 4x - 28 crosses the x-axis at the point
with coordinates (a, b). What is the value
of a?
A. -28
B. -2
C. O
D. 5
E. 7​

Answers

Answer:  E.  7

=======================================================

Explanation:

Any point on the x axis always has its y coordinate equal to 0.

Plug in y = 0 and solve for x

y = 4x-28

0 = 4x-28

4x-28 = 0

4x = 28

x = 28/4

x = 7

Therefore, the point (7, 0) is on the line y = 4x-28 and also on the x axis. This is known as an x intercept.

Comparing (7, 0) this to (a, b) shows that a = 7 and b = 0.

what is the sulotion of 3^2-[3-4(8-2^2]^2​

Answers

Answer:

70

Step-by-step explanation:

Someone help asap

Enter the your answer in the box provided to fill in the black space that will make the equation true.



____(3 + 4) = 36 + 48

Answers

Answer:

12 will come in the blank

Step-by-step explanation:

Distributive property is used

a(b + c)  = a*b + a*c

36 + 48 = 12*3 + 12*4

           = 12(3 + 4)

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