1. Assume that men’s weights are normally distributed with a mean given by  = 172lb and a standard deviation given by  =29lb. Using the Central Limit Theorem to solve the following exercises(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.

Answers

Answer 1

Answer:

1) 0.99348

2) 0.55668

Step-by-step explanation:

Assume that men’s weights are normally distributed with a mean given by  = 172lb and a standard deviation given by  =29lb. Using the Central Limit Theorem to solve the following exercises

When given a random number of samples, we use the z score formula:

z-score is z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation.

(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.

For x > 160 lb

z = 160 - 172/29/√36

z = 160 - 172/29/6

z = -2.48276

Probability value from Z-Table:

P(x<160) = 0.0065185

P(x>160) = 1 - P(x<160) = 0.99348

(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.

For x = 170 lb

z = 170 - 172/29/√81

z = 170 - 172/29/9

z = -0.62069

Probability value from Z-Table:

P(x = 170) = 0.2674

For x = 175 lb

z = 175 - 172/29/√36

z = 175- 172/29/6

z = 0.93103

Probability value from Z-Table:

P(x = 175) = 0.82408

The probability that they have a mean weight between 170lb and 175lb is calculated as:

P(x = 175) - P(x = 170)

0.82408 - 0.2674

= 0.55668


Related Questions

Simplify.
6² + 3²
09
O 18
O 45
081

Answers

Answer:

45

Step-by-step explanation:

6² + 3²

36 + 9

45

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Answers, in order:

1. Acute

2. Congruent

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A baker orders 162 eggs. Each carton contains 18 eggs. Determine which equation can you use to find the number c of cartons.

Answers

The answer is 18c = 162

Select all possible values for x if −3x < 15.

Select one or more:
A. -11
B. -7
C. -5
D. 2
E. 9

Answers

Step-by-step explanation:

When dividing or multiplying by a negative number, remember to flip the inequality sign.

-3x < 15

x > -5 (divide -3 on both sides, flip the inequality sign)

The correct options are 2 and 9. (D and E)

Answer:

D. 2

E. 9

Step-by-step explanation:

[tex] - 3x < 15 \\ \\ x > \frac{15}{ - 3} \\ \\ x > - 5 \\ \\ [/tex]

Since x > - 5,

Therefore possible values of x would be 2 and 9 out of the given ones.

Question is below thanks

Answers

Answer:

33.51

Step-by-step explanation:

There's a formula using the value of the angle but I don't remember it so the most easy way is:

A circle has an angle of 360°

so our section has an angle of 60

and we know that 360=60*6

so the area of the circle we divide it by 6 and we get the area we want

[tex]A=\pi r^2\\\\A=\pi (8)^2\\\\A=64\pi[/tex]

divide this by 6

[tex]A_1=A/6=64\pi/6\approx 33.51[/tex] units squared

Answer:

33.51

Step-by-step explanation:

hope it helps


What is the area of the triangle below?

Answers

Answer:

9

Step-by-step explanation:

base = 6

height = 3

1/2 b * h = 9

3.78÷15=? Show the work please.

Answers

Answer:

how would you show work?

the answer is 0.252

Step-by-step explanation:

Answer:

0.252

__________________________________________________________

We have to evaluate the expression:

3.78/15

Evaluation:

We can multiply both the numerator and the denominator with the same number and that won't change the actual number since the number would cancel out

So, multiplying numerator and the denominator by 100

[tex]\frac{3.78 * 100}{15 * 100}[/tex]

[tex]\frac{378}{15 * 100}[/tex]

Since 15*25 is 375, we will rewrite the numerator as:

[tex]\frac{375 + 3}{15 * 100}[/tex]

Now, we can split it into 2 separate fractions:

[tex]\frac{375}{15 * 100}+\frac{3}{15 * 100}[/tex]

This new equation is the same as the one before as it can easily be changed to that

Since 15*25 is 375 and 3*5 is 15:

[tex]\frac{25}{100}+\frac{1}{5 * 100}[/tex]

Since 25*4 is 100:

[tex]\frac{1}{4}+\frac{1}{500}[/tex]

0.25 + 0.002

0.252

Hence, 3.78/15 is 0.252

Given that
R
=
2
x
+
2
y

Find
y
when
x
=
9
and
R
=
29

Give your answer as an improper fraction in its simplest form.

Answers

Answer: y=11/2

Step-by-step explanation:

r = 2x + 2y

29=2(9) + 2y

29=18 + 2y

11 = 2y

11/2 = y

PLEASE I WILL GIVE BRAINlEST ANSWER
"I’m thinking of a number. When I divide my number by four and add seven I get thirteen."


What’s my number? Show your work and explain how you know your answer is correct.

Answers

Answer:

The number is 24

Step-by-step explanation:

This can be written algebraically as:  [tex]\frac{x}{4}+7=13[/tex]

Solve for x, in which the steps are shown below.

Thanks for the question! :)

Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo

Answers

Answer:talk some English dude

Step-by-step explanation:

When x=5, which is x3?

Answers

Answer:

125

Step-by-step explanation:

5 cubed is literally 5 x 5 x 5

So 5 x 5 = 25

multiply 25 with 5 and you get 125 as the answer.

The Answer Is 8

Your Welcome!♠

Please help me with this math question.

Answers

brand b is cheaper
34 cents for brand a
32 cents for brand b

hope this helps im not too sure if im correct

I can model and solve one variable two step equations

9x-10= 63

Answers

Answer:

Step-by-step explanation:

good job?

Solve for x in the diagram shown.
A) 2.67
B) 4.5
C)5.625
D) 34.375

Answers

Answer: C

Step-by-step explanation:

Annie's ant population doubles every week.
After 3 weeks of doubling, how many ants will she have if her colony
started with 50?

Answers

Answer:

400.

Step-by-step explanation:

50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.

Answer:

400

Step-by-step explanation:

just did the work

Determine the parent function
Y=x3. Y=^x. Y=1/x

Answers

Answer:

First one is B

Second one is A

next time dont shoot your computer

Step-by-step explanation:

The parent function of the graph is y = √x

How to determine the parent function?

The given graph is a graph of a square root function, that is translated upward by 3 units and right by 1 unit

This means that the equation of the graph is:

y = 3 + √(x - 1)

Remove the translated points

y = √x

Hence, the parent function of the graph is y = √x

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subtract (-x - 3) - (5x + 2)
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Answers

(-x - 3) - (5x + 2) = -6x - 5

What is the slope-intercept equation of the line below?

Answers

Answer:

B y= -5/4x+3

Step-by-step explanation:

please help I'm literally about to cry I just need the answers

Answers

Answer:

a. han did not divide -10x by 4

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Step-by-step explanation:x

reason for b: you can graph y=-[tex]\frac{5}{2}[/tex]x+5 to get the y and x intercept

HELP PLEASE HELP!! I NEED THIS DONE BEFORE AN HOUR!! PLEASEEEE!! :(((
On Christmas Eve, Charlie ate 20% of the gingerbread cookies he baked. If he ate 11 cookies, what was the total number of cookies he baked?

Answers

Answer:

22

Step-by-step explanation:

Charlie baked total of 55 cookies if he ate 11 cookies which is the 20% of the total cookies.

What is Percentage?

The ratio or number in terms of the fraction per 100 is called the percentage. This concept is mainly used to calculate the proportion of any value with respect to the original value.

Symbol representing the percentage is %.

Let x be the number of cookies Charlie baked.

Percentage of cookies Charlie ate = 20%

Number of cookies Charlie ate = 11

That is, Charlie ate 20% of the total cookies, x, which actually equals 11.

⇒ 20% × x = 11

⇒ (20/100) × x = 11

⇒ 0.2 × x = 11

⇒ x = 11/0.2

⇒ x = 55

Hence the number of cookies Charlie baked is 55, if he ate 20% of the cookies which equals 11.

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I need help with this​

Answers

Answer:

m∠z = 106°

Step-by-step explanation:

From the figure attached,

By exterior angle theorem,

m∠z = a + 68°

By linear pair theorem,

m∠a + 142° = 180°

m∠a = 180° - 142°

        = 38°

Therefore, m∠z = 38° + 68°

                          = 106°

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Answers

Answer:

4

Step-by-step explanation:

25,437 --> twenty-five thousand, four hundred and thirty seven

5(a +3)= 40 *

What is the answer

Answers

Answer:

sorry i had too

Step-by-step explanation:

someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Answer: a = 5

Step-by-step explanation:

5(a + 3) = 40

5a + 15 = 40

5a -15 = -15

5a = 25

5a/5a = 25/5a

a = 5

Hope this helps :)

three guards were protecting an orchard. A third met the guards,one after the other,To each guard he gave half of the apples he has at the time and two extra . Eventually he escaped with just one apple. How many apples did the thief take? Fellow up questions for extension. What if he had 2 left? 3 left? 4 left?​

Answers

Answer:

The thief stole 36 apples originally.

Step-by-step explanation:

The thief left the orchard with 1 apple.

which means:

​∴  before meeting the 3rd watchman, he must have had ​=6 apples.

​∴  before meeting the 2nd watchman, he must have had ​=16 apples.

​∴  before meeting the 1st watchman, he must have had ​=36 apples.

​(1+2)×2

​(6+2)×2

​(16+2)×2

​​

So, the thief stole 36 apples originally.

Answer:

The thief took 36 apples.

Step-by-step explanation:

This problem can be solved from end to beginning.

The thief ends up with a single apple. This happed after he gave half of the apples he had and two extra apples.

Thus, adding two apples 1+2=3 and doubling the result, the thief had 3*2=6 apples when he met the last guard.

Before that, he gave 2 apples to the second guard, thus he had 6+2=8 apples. Doubling it 8*2=16 is the number of apples he had when met the second guard.

Doing this again, 16+2=18. 18*2=36.

The thief took 36 apples.

Gave 18+2=20 to the first guard. He had 36-20=16 now.

Gave 8+2=10 to the second guard. He had 16-10=6 now.

Gave 3+2=5 to the third guard and got away with just one apple

If nine inches represent twelve feet, how many inches
represent 48 feet?

Answers

Answer:

36 inches

Step-by-step explanation:

4 * 12 = 48

So multiply 9 by 4 also and you get 36.

How much interest is earned in 2 years on an investment of $2,000? The interest rate
is 3%

A. 1200
B. $60
C. $600
D. $120

Please help I will give brainlist

Answers

Answer:

D. $120

Explanation:

P= principal amount, which is $2000 in this case

R= interest rate. In this case, it's 3% per year (or 0.03 in decimal form)

T= time, which in this case is 2.

To find the simple interest, we multiply 2000 × 0.03 × 2 to get 120.

I hope this helped! :)

Answer: 120 is the right answer i think im not sure

Step-by-step explanation:

I’ll make you brainliest:Which shows the equation 12x + 4y = 480
in general form?

Answers

Answer:

y = -3x + 120

Step-by-step explanation:

Hope this helps!

What is the length of AB?
O A. 9
O B. 18
O C. 48
D. 6

Answers

Answer:  A.  9

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

Explanation:

Draw in the segments AO and OC.

Triangle ABO is congruent to triangle CBO. We can prove this through the use of the HL theorem. HL stands for hypotenuse leg.

Since the triangles are congruent, this means the corresponding pieces AB and BC are the same length.

Then we can say:

AB+BC = AC .... segment addition postulate

AB+AB = AC .... plug in BC = AB

2*AB = AC

2*AB = 18

AB = 18/2 .... divide both sides by 2

AB = 9

In short, the chord AC is bisected by the perpendicular radius drawn in the diagram. So all we do is cut AC = 18 in half to get AB = 9.

The first one is correct 9

Which ordered pairs match the graph?




​(0, 0), (2, 2), (2, 3), (2, 4), (3, 3.5)

(0, 0), (0, 2.5), (2, 2), (2, 3), (2, 4)

​(0, 0), (1, 1), (2, 2), (3.5, 4), (2, 0)

(0, 0), (1, 3.5), (2, 3), (2, 2), (3, 2)

Answers

Answer:

We can't see the graph i can help if you insert it

Step-by-step explanation:

Can someone help me please?

Answers

The missing height is 5 inches
5 inches please tell me if I’m incorrect
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