William discovers that the number of nuts in a bag of cashews is normally distributed with mean 42 and standard deviation 4. If he buys 200 bags, how many of them can he expect to contain fewer than 34 nuts?

Answers

Answer 1

Answer:

4.56, so he should expect between 4 and 5 of them to contain fewer than 34 nuts.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 42 and standard deviation 4.

This means that [tex]\mu = 42, \sigma = 4[/tex]

Proportion with fewer than 34 nuts:

p-value of Z when X = 34. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{34 - 42}{4}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

Out of 200 bags:

0.0228*200 = 4.56.

4.56, so he should expect between 4 and 5 of them to contain fewer than 34 nuts.


Related Questions

you don’t have to tell me the answer i just dk what to do for this problem

Answers

Answ either

Step-by-step explanation:

Jeremy received $65 for his birthday and used part of it to buy 3 video games. The games cost the same amount, and he had $14 left. Write the equation used to determine how much each game cost.



A.3x + 14 = 65


B.3x - 14 = 65


C.65 - 3x = -14


D.14 - 3x = 65

Answers

A. Is your answer, if the games cost the same amount and he bought 3, that would give you 3x, the total is 65, and 14 is what was left. You would subtract 14 from the total, then divide by 3 to get x by itself.

Answer:

i believe the answer should be

Step-by-step explanation:

3x+14=65 which is telling you that 3 times a number which is unknown so we will call it x and add 14 equals 65. when you work it out you should get the total which is 65. so the way you work that out is you separate everything without an x to the right side of the equation which looks like 3x=65-14 then work it out subtract 14 from 65 and you get 3x=51 )which is total spent on 3 games. Then you divide 3x/3= 51/3 then the 3s cancel our so you have x=51/3 and when you work that out you get your answer x=17 which is the cost per game.

License plates are made using 2 letters followed by 4 single digits. If any letter can be only used once but the digits can be repeated how many plate numbers are available?

Answers

Answer:

6,500,000

Step-by-step explanation:

Here, we first need to find all the possible selections for the code.

Then, we need to find the number of options for each one of these selections.

We have, 2 letters followed by 4 single digits.

There are 26 letters

There are 10 single digits.

For the first letter, we have 26 options.

For the second letter, we have 25 options (because one is already taken, and we can repeat that)

And for each one of the numbers, we have 10 options (we can repeat the numbers)

The total number of options for the code, is equal to the product of all the numbers of options for each selection, then the total number of possible plate numbers is:

C = 26*25*10*10*10*10 = 6,500,000

1 in : 3 ft the center is 45 feet long and 28 feet wide

Answers

Answer:

Step-by-step explanation:

Enter the range of values for x:
B
15
2x - 10
С
48°
A
18
[?] Enter

Answers

Answer:   5 < x < 29

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

Explanation:

Since AB is smaller than AD, this must mean the angle ACB is smaller than angle ACD. Note how these angles are opposite the sides mentioned.

So 2x-10 < 48

At the same time, 2x-10 is also larger than 0.

Overall, we can say 0 < 2x-10 < 48

---------

Let's solve for x

0 < 2x-10 < 48

0+10 < 2x < 48+10 ...... add 10 to all sides

10 < 2x < 58

10/2 < x < 58/2 ..... divide all sides by 2

5 < x < 29

QUICK I NEED HELP!!! I'll mark brainliest!
Which is a statistical question that could have been asked to collect the data shown on the dot plot?

1.How many student's are in your school?

2.On what day in July is Independence Day?

3.How many televisions do the families in your neighborhood own?

4.What is the height of your classroom door?

Answers

Answer:

How many televisions do the families in your neighborhood own?

Answer:

Step-by-step explanation:

There is no dot plot so I can’t help

what is 713.49 written as a standard form​

Answers

It’s one hundred seven thirteen and forty nine hundreds

PLEASE HELP ME WITH THIS

Answers

here you go, should be right

Answer:

Plot your x,y points at (0,1) and (1,3)

Find the surface area of the pyramid represented by the net. 5.5 cm 5 cm 5 cm ​

Answers

Answer: I think the answer is 25 units squared

Step-by-step explanation:

A= l*w

A= 5*5

A=25^2

Answer: I think it's 80

A circle in the xy-coordinate plane has the equation x2 + y2 +6y -4 = 0. If the equation of the circle is written in the form x2 + (y+k)2 = c.
where k and care constants, what is the value of K?

Answers

Answer:

k = 3

Step-by-step explanation:

Given

x² + y² + 6y - 4 = 0 ( add 4 to both sides )

x² + y² + 6y = 4

Using the method of completing the square

add ( half the coefficient of the y- term )² to both sides

x² + y² + 2(3)y + 9 = 4 + 9

x² + (y + 3)² = 13

with k = 3

3-1/3n< 6;n>-9 What is n???

Answers

Answer:

i don't understand your question, but i'll try to the best of my ability.

the answer to that is:

-8.33333333333

Step-by-step explanation:

let me break this down into a way you might understand.

1: 3-1=2

2: 2 divided by 3=0.66666666666.

3: i don't know if the "< 6;n>", was meant to be in the equation, so i just added the rest of it up.

if that's not right let me know. i'm pretty clueless sometimes, and this might just be a higher level of math that i don't know.

you're welcome though, (i suppose..) and have a great day.

Please someone help me ?!?!?

Answers

Answer:

I believe it would be B. SAS

Step-by-step explanation:

You have two sides and one angle that are congruent in both

the sum of a and 3a is​

Answers

[tex]\boxed{4a}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]a + 3a \\ = 4a[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

Answer:

Step-by-step explanation:

a+3a

since they are like terms u can add them

=4a  

therefore a+3a=4a

sara spent $ 2.30 on sweets , $ 3.20 on a pencil and $ 9.15 on an excerise book . What steps would you use to find out much less than $ 15.00 sara spent

Answers

2.30 plus 3.20 and 9.15 is 14.65 .

For positive acute angles A and B, it is known that cos A= 20/29 and tan B= 11/60. Find the value of cos(A + B) in simplest form.

Answers

Answer:

[tex]\displaystyle \cos(A + B) =\frac{969}{1769}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos A=\frac{20}{29}\text{ and } \tan B=\frac{11}{60}[/tex]

Where A and B are positive acute angles.

And we want to find cos(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:

[tex]o=\sqrt{29^2-20^2}=21[/tex]

Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:

[tex]h=\sqrt{11^2+60^2}=61[/tex]

In summary:

With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.

With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.

We can rewrite our expression as:

[tex]\displaystyle \cos(A+B)=\cos A\cos B-\sin A\sin B[/tex]

Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:

[tex]\displaystyle \cos(A + B)=\left(\frac{20}{29}\right)\left(\frac{60}{61}\right)-\left(\frac{21}{29}\right)\left(\frac{11}{61}\right)[/tex]

Simplify:

[tex]\displaystyle \cos(A + B) =\frac{1200-231}{1769}=\frac{969}{1769}[/tex]

A psychologist is interested in determining whether a new treatment for depression improves (decreases) depression scores. She randomly assigns 30 subjects to the treatment and 30 subjects to the control. At the conclusion of the study she uses an independent t-test to evaluate whether the groups differ on a widely used depression scale that ranges between 0 and 30. The treatment group mean is 18 and the control group mean is 22. What is the null hypothesis for the analysis

Answers

Answer:

Mean Hypothesis is Mean values of the treatment and the control group is not equal

Step-by-step explanation:

The null hypothesis is mostly the problem statement.

Here the problem statement is

To check whether there is a difference in treatment result of two groups of patient; one which has received the treatment and the other is the control group.

Thus, the null hypothesis is

H0 - Mean values of the treatment and the control group is not equal

PLEASE HELP!!!

ABC maps the outline of a new park. What is the area of the park?

the multiple choice answers are in the photo

Answers

Answer:

[tex]Area = 10[/tex]

Step-by-step explanation:

Given

[tex]A = (2,1)[/tex]

[tex]B =(4,7)[/tex]

[tex]C =(6,3)[/tex]

Required

The area of the park

The outline is a triangle and as such, the area is calculated using:

[tex]Area = \frac{1}{2}|(x_1y_2 - x_2y_1) + (x_2y_3 - x_3y_2) + (x_3y_1 - x_1y_3)|[/tex]

This gives:

[tex]Area = \frac{1}{2}|(2*7 - 4*1) + (4*3 - 6*7) + (6*1 - 2*3)|[/tex]

Using a calculator, we have:

[tex]Area = \frac{1}{2}|-20|[/tex]

Remove absolute bracket

[tex]Area = \frac{1}{2}*20[/tex]

[tex]Area = 10[/tex]

It Says Minute At The End

Answers

Answer:

1.368

Step-by-step explanation: 1.14x1.2=1.368

hey! i’ll give brainliest please help

Answers

Answer:

The 4th answer

Step-by-step explanation:

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

Can someone please help me with this

Answers

Step-by-step explanation:

Therefore, 55+40+z=180

z=180-95

z=85

To get y,

z+y=180

85+y=180

y=95

What is the value of y in the diagram?
y
x
X-20

Answers

Answer:

x+x-20 = 180-90

2x-20 = 90

2x. =90+20

2x. =110

x. =55

y+55. =90

y. =90-55

y. =35

I dont get this. please help

Answers

Answer:

Step-by-step explanation:

All of these are done exactly the same way so I will work out one of them for you, and you can follow my example to get the answers to the rest of them. I will do #5. The formula for this is

7(7 + x) = 8(8 + 13) and then solve the equation to find x:

49 + 7x = 168 and

7x = 119 so

x = 17.

Follow that pattern for each of your problems and you should be fine.

find the value of x pls help

Answers

Answer:

x = 15°

Step-by-step explanation:

First Identify the angle of x by subtracting 180° - 120° = 60°

Always remember when you see a straight line the line measures 180°

So the angle of x = 60° but not the value of x so use the given equation to find the value of x

3x + 15 = 60°

3x  - 15 = -15°

3x = 45

x = 15°

Please help me solve!!

Answers

The answer is A just use the function

Marisa is buying a vase of red roses for Mother's day. The florist charges $12.00 for a vase Marisa selected plus $4.75 per rose. Determine an equation to represent the cost of the bouquet, C, in terms of the number of roses in the bouquet, r. If Marisa has saved $55 to get her Mother's Day bouquet, how many roses can she have the florist put in the vase?​

Answers

Answer:

8 Roses

Step-by-step explanation:

Y = 15 + 4.50X

 

51 = 15 + 4.50X

 

51 - 15 = 4.50X

 

36 = 4.50 X

 

360 = 45x  

 

360/45 = x

 

x = 8

The area of a parallelogram can be found by the
equation area = (b)(h)
Find the height of a parallelogram that has an area of
10 2 in2 and a base of Ži in.
SET
The height of the parallelogram is
inches.
I NEED THE ANSWE ASAP

Answers

The height = (7/2)

You take the answer and divide it by the base to get the height.
Same thing for base. You divide the answer by the height to get base.

Answer:

14

Step-by-step explanation:

just did it (don't search up mr hands)

what is the answer on this question

Answers

Your Answer..

V=10in³

Hope This Helps You

A store owner wants to sell 200 pounds of pistachios and walnuts mixed together. Walnuts cost 4 dollars per pound and pistachio cost 6 dollars per pounds. How many pounds of each type of nuts should be mixed if the store owner will charge 5 dollars for the mixture?

Answers

Answer:

ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰ

Step-by-step explanation:

ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰ

Find the exact area of the shaded region.
120°
24 m
O A. (192 - 144)m2
OB. (192 - 14413 )m2
O C. (8 - 14413 )m?
O D. none of the above

Answers

Find the exact area of the shaded region.
120°
24 m
O A. (192 - 144)m2
OB. (192 - 14413 )m2
O C. (8 - 14413 )m?
O D. none of the above
The answer is 120 have a great day

The present ages of Ritu and Nitu are in the ratio15:8. After 10 years, their ages will be in the ratio 5:3 . Find their present ages.

Answers

Answer:

60 : 32

Step-by-step explanation:

Let x = Their present ages

Ritu : Nitu = 15x : 8x

After 10 years, their ages will be in the ratio 5:3

In 10 years

15x + 10 : 8x + 10 = 5 : 3

15x + 10 / 8x + 10 = 5/3

Cross product

15x + 10 * 3 = 8x + 10 * 5

45x + 30 = 40x + 50

45x - 40x = 50 - 30

5x = 20

x = 20/5

x = 4

Ritu : Nitu = 15x : 8x

Ritu : Nitu = 15 * 4 : 8 * 4

= 60 : 32

Ritu : Nitu = 60 : 32

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