Data with 950 observations are drawn from a bell-shaped distribution with a mean of 78 and a standard deviation of 19. Approximately how many observations are more than 116

Answers

Answer 1

Answer:  there are 22 observations that are more than 116.

Step-by-step explanation:

Let x be the random variable.

Given: Sample size = 950

Mean = 78

Standard deviation = 19

The probability that the observations are more than 116 is given by :-

[tex]P(X>116)=P(\dfrac{X-mean}{standard \ deviation}>\dfrac{116-78}{19})\\\\=P(Z>2)\\\\=1-P(Z<2)\\\\=1-0.9772\ \ \ [\text{Using p-value calculator}]\\\\=0.0228[/tex]

Number of observations are more than 116 = [tex]0.0228\times950[/tex]

[tex]=21.66\approx22[/tex]

Hence, there are 22 observations that are more than 116.


Related Questions

show that d^2y/dx^2=-2x/y^5, if x^3 + y^3=1

Answers

Answer:

y³ + x³ = 1

First, differentiate the first time, term by term:

[tex]{3y^{2}.\frac{dy}{dx} + 3x^{2}} = 0 \\\\{3y^{2}.\frac{dy}{dx} = -3x^{2}} \\\\\frac{dy}{dx} = \frac{-3x^{2}}{3y^{2}} \\\\\frac{dy}{dx} = \frac{-x^{2}}{y^{2}}[/tex]

↑ we'll substitute this later (4th step onwards)

Differentiate the second time:

[tex]3y^{2}.\frac{dy}{dx} + 3x^{2} = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} + 6x = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{-x^{2} }{y^{2} })^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{x^{4} }{y^{4} }) = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + \frac{6x^{4} }{y^{3} } = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} = - 6x - \frac{6x^{4} }{y^{3} } \\\\[/tex]

[tex]3y^{2}.\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{3y^{2}. y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 2xy^{3} - 2x^{4} }{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (y^{3} + x^{3})}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (1)}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x}{y^{5}}[/tex]

Find the sum of the first 5 terms of the following geometric series.

512 - 256 + 128 +...

Answers

Answer:

352

Step-by-step explanation:

512 - 256 + 128 - 64 + 32 = 352

5v– 1/2 =4+ 3/2 v

How does one person solve this if the like terms are on opposite sides?

Answers

Answer:

Step-by-step explanation:

Given

[tex]5v - 1/2 = 4 + 3/2v[/tex]

Required

Solve

We have:

[tex]5v - 1/2 = 4 + 3/2v\\[/tex]

Collect like terms

[tex]5v - 3/2v = 4 + 1/2[/tex]

Express fractions as decimals

[tex]5v - 1.5v = 4 + 0.5[/tex]

[tex]3.5v = 4.5[/tex]

Make v the subject

[tex]v= \frac{4.5}{3.5}[/tex]

Divide by .5

[tex]v= \frac{9}{7}[/tex]

27. A 35 foot long tube is cut into two pieces with ratio 4:5 Find the length of the shorter piece.
a) 9 feet
b) 16 feet
c) 12 feet
d) 20 feet

Answers

The ratio 4:5> 4x+ 5x=35> 9x=35> x=3.8 and then you do (3.8)3.8=14.7. Therefore there is not a correct answer.

The length of the shorter piece is 15.55 feet.

Concept:Firstly, we will assume the ratio in which this tube is cut.Then, we will substitute the ratio  and solve for the lengths of the two pieces.

How to solve the given question?As the tube is cut into a ratio of 4:5, Let the length of the shorter piece be 4k and the longer piece be 5k.Total length of tube = 35 feet
∴ 4k + 5k = 35
∴ 9k = 35
∴ k = [tex]\frac{35}{9}[/tex]The length of shorter tube piece = 4 k = 4 × [tex]\frac{35}{9}[/tex] = 15.55 feet.

Thus, the length of the shorter piece is 15.55 feet.

As none of the options matches the answer, all options are incorrect.

Learn more about Ratio & Proportion here:

https://brainly.com/question/12182733


#SPJ2

The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?

Answers

Answer:

77 boxes

Step-by-step explanation:

Take the total number of boxes to be sold and divide by the number of girls in the troop

1000/13

76.92307692

Round up

77

Each girl must sell 77

77*13 =1001

If 12 muffins cost $27, how much would 2 muffins cost?​

Answers

2 muffins would be $4.5

Pic added
Solve for x.
L
20x + 10
850
K
J
3
8

Answers

Answer:

Option (3)

Step-by-step explanation:

By applying the property of inscribed angle and intercepted arc in the given circle,

"Measure of an inscribed angle is half the measure of the intercepted arc"

[tex]m(\angle LKJ)=\frac{1}{2}m(\text{arc LJ})[/tex]

[tex]85=\frac{1}{2}(20x+10)[/tex]

[tex]170=20x+10[/tex]

[tex]20x=160[/tex]

[tex]x=8[/tex]

Therefore, Option (3) is the correct option.

Evaluate the expression for the given value of the variable.

3x + 4 when x = 2


5y - 3.6 when y = 4


7z4+ 1.05 when z = 1.2


20 - b3.2when b = 5.2

Answers

Answer:

I NOT 100% SURE BUT I THINK ITS .B)

Step-by-step explanation:

y = -4/3x − 1
y = 1/3x + 4

Answers

Answer:

x = -3, y =3

Step-by-step explanation:

y = -4/3x - 1

y = 1/3x + 4 -------> 4y = 4/3x + 16

Adding the first equation and the new second equation together:

5y = 15 ------> y = 3

Plug y = 3 into one of the original equations:

3 = 1/3x + 4

-1 = 1/3x

x = -3

Tính (1,5)4; ((-2)/3)3; (√3)5.

Answers

Step-by-step explanation:

câu trả lời là trong bức ảnh trên

3(t+4)=9 t=?
-(c-6)=0 c=?
-10(s+4)=-122 s=?​

Answers

Answer:

t = -1

c = 6

s = 8.2 or 8 1/5 (same thing just different notation)

Step-by-step explanation:

3(t+4) = 9

3t + 12 = 9

3t = -3

t = -1

-(c-6) = 0

-c + 6 = 0

-c = -6

c = 6

-10(s+4) = -122

-10s - 40 = -122

-10s = -82

10s = 82

s = 82/10 = 8.2 or 8 2/10 or 8 1/5

Cos15°°- Sin 15°= 1/√2​

Answers

Refer this attachment

Hope it's help you

Please help pleaseeeeee

Answers

Answer:

Step-by-step explanation:

Pythagorean theorem states, square of longer is equal to the sum of square of other sides.

That is, c² = a² + b²

           [tex]50^2 = 48 ^2 + 14^2\\\\2500 = 2304 + 196\\\\2500 = 2500[/tex]

Therefore, the lengths satisfies Pythagorean Theorem.

If the sides of a triangle satisfies Pythagoras Theorem, then the triangle is right triangle.

06.04 find the area of the image below a.24.6 units b.25.8 units c.26.3 units d.27.5 units​

Answers

Its D. 27.5 units.

Divide the figure into one parallelogram and one triangle.

Count the base and height of the parallelogram:
The base is 5 units, the heigth is 3 units.
AREA- 3 • 5 = 15 units

Count the base and height of the triangle:
The base is 5 units, the height is also 5 units.
AREA- 1/2 • 5 • 5 = 12.5

Add the area of the parallelogram and the area of the triangle:
15 + 12.5 = 27.5

SO, the area of the whole figure is 27.5 square units.

BRAINLIEST WILL BE APPRECIATED!
Have a nice day -SpaceMarsh

PLEASE HELP ME
Challenge In a​ company, 85 ​% of the workers are woman . If 585 people work for the company who​ aren't woman ​, how many workers are there in​ all?
there are ___ workers in all

Answers

Answer:

3900

Step-by-step explanation:

let x= number of workers

we know that .15 (or 1-.85) of the people are not women

so

.15x=585

585/.15=x

3900=x

You are having a get-together and are expecting 30 guests. You plan on serving Chocolate Chip Cookies. Use your knowledge of fractions to re-write the recipe for Chocolate Chip Cookies. The recipe card states that it makes 60 cookies. What will need to be done in order to make 30 cookies?
Show your work neatly. List all steps taken as you recalculate each ingredient and then re-write the recipe card.
Discuss what you learned about fractions from this activity.
Did you find some measurements easier to convert than others? Why do you think this is so?

Answers

Answer:

Chocolate Chip Cookies:

2

1

/

2

cups flour

3

/

4

cup sugar

1

tsp. baking soda

1

tsp. vanilla

3

/

4

teaspoon salt

2

eggs

1

cup butter

3

/

4

pound Chocolate Chips

Fractions:

A fraction is a numerical quantity that represents a part of a whole. A fraction can be recognized by a horizontal line that is there between the two numbers. The number above the horizontal line is called the numerator and the number below the horizontal line is called the denominator.

A fraction that is less than 1 is called a Proper Fraction.

Example- A fraction that is greater than or equal to 1 is called an Improper Fraction.

Example- A whole number and a fraction combined into one is called a MIxed Fraction.

Example- To Convert Mixed Fraction into an improper fraction, multiply the denominator with the integer and add this product to the numerator.

Example-

5

3

4

=

(

4

×

5

)

+

3

4

=

23

4

Answer and Explanation:

help i’ll give brainliest

Answers

Answer:

5

Step-by-step explanation:

Y intercept = y value of point where the line passes the y axis

The line passes the y axis at (0,5) and the y value of that point is 5

Therefore y intercept = 5

Answer:

5........................................................................................

What is a Parrel line?

Answers


Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

Answer:

parrel line never meet

There are 5,000 books in the​ town's library. Of​ these, 4,700 are fiction. To find the percent of the books that are​ fiction, first set up the percent equation. Then find the percent.

Answers

Answer:

94%

Step-by-step explanation:

4,700/5,000 x 100%

0.94 x 100% = 94%

Answer:

94%

Step-by-step explanation:




ques
mid vallue frequency
5. 5
10. 20
15. 10
20. 55
25. 22
30. 29

find mode from the following​

Answers

Answer:

the mode is 20

it has the highest frequency

what is 186.4 ounces oz of water in millliiters (mL)​

Answers

Answer:

The answer is 5284.35 using the conversion

Answer:

5284.4

Explanation:

Tbh if you have a conversion table then see the conversion for what 1 oz is equal to in mL and do the math like that… •_•

Hope this helps, have a good day!

HELP MATH ANSWER QUESTION

Answers

the answer is in the picture

I’m not good at math

Consider the graph below: Point T(-2; 3) is a point on the Cartesian Plane such that B is the angle of inclination of OT. T(-2;3) у х 2.1 Calculate the following without the use of a calculator: a) tanſ b) 13 sin B.cosB (2)​

Answers

Answer:

(a) - 3/2

(b) - 78/25

Step-by-step explanation:

According to the trigonometry, the tangent of any angle is the ratio of rise to the run of the right angle triangle .

The sine of an angle is the ratio of rise to the hypotenuse of the right angle triangle.

The cosine of an angle is the ratio of run to the hypotenuse of the right angle triangle.

(a)

[tex]tan\beta = \frac{3}{-2} = \frac{-3}{2}[/tex]

(b)

[tex]13 sin\beta cos \beta = 13\times \frac{3}{\sqrt{3^2+2^2}}\times\frac{-2}{\sqrt{3^2+2^2}}\\\\13 sin\beta cos\beta = \frac{- 78}{25}[/tex]

PLEASE HELP ASAP Determine the period.

Answers

That’s easy_________

please help meeeeeeeeeeeeeeeeee

pt 1

Answers

Answer:

Completing the square

Step-by-step explanation:

The proof is lengthy, and I don't think you came here to see that whole proof. Here it is anyway to show you the process of completing the square.

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:more-on-completing-square/a/quadratic-formula-proof-review

Which is equivalent to f/125)*? O 125+ 0 1254 125" C. 125/11​

Answers

Answer:

I think choose (1)

[tex]125 ^{ \frac{1x}{3} } [/tex]

help please show work

Answers

7.) 18.8 square kilometers
1/2 • 4.7 x 8 = 18.8

8.) 40.96 square miles
6.4^2 = 40.96

9.) 7 square meters
1/2 • 4 • 3.5 = 7

10.) 36.4 square centimeters
(2.6 + 7.8) ÷ 2 x 7

11.) 22.8 square yards
6 • 3.8 = 22.8

12.) 30.6 square centimeters
5.1 • 6 = 30.6

Explanation:
FORMULAS FOR AREAS OF:
Triangle: 1/2 • base • height
Square: side^2
Parallelogram: base • height
Rectangle: Length • width
Trapezoid: (a + b) ÷ 2 x height
(a & b are the two bases)

hope this helps!

Which operation should you perform first in the expression 7x2^3?

Answers

Answer:

Below,

Step-by-step explanation:

The exponent part is done first

7 x 2^3

= 7 * 8

= 56.

You use the acronym PEMDAS:-

( E ( exponential) comes before  M (multiply))

Identify the 3D shape shown below

Answers

Answer:

square pyramid...........

Answer:

SQUARE PYRAMID

Step-by-step explanation:

Select the graph of the solution. Click until the correct graph appears.

|x| = 3

Answers

Answer:

We want to find the graph of:

|x| = 3

Remember how the absolute value function works:

|x| = x  if x ≥ 0

|x| = -x if  x < 0

Then for the equation:

|x| = 3

We have two possible values of x:

x = 3

|3| = 3

and x = -3

|-3| = -(-3) = 3

Then the graph of this equation is two vertical lines, one at:

x = 3

and another at:

x = -3

The graph can be seen below:

Other Questions
A chair rental company charges $100 for delivery plus $3 perchair. You want to order 200 chairs for a concert. How muchwill it cost?O a. $300O b. $600O c. $700O d. None of the aboveabove if i made 11$ an hour working at publix how much would i have in 4 year's? i need to know because me and my friend plan to work at publix as soon as we turn 14 and in 4 year's when we turn 18 we want to have enough to move into an apartment/house right away The author of a humorous story has purposely made some ideas and events seem less important than they really are. Which literary device is the writer using?paradoxironyhyperbole what is the difference between torque and the moment of a force why it is important that we have an understanding of geologic time A Deloitte employment survey asked a sample of human resource executives how their company planned to change its workforce over the next 12 months (INC. Magazine, February 2012). A categorical response variable showed three options: The company plans to hire and add to the number of employees, the company plans no change in the number of employees, or the company plans to lay off and reduce the number of employees. Another categorical variable indicated if the company was private or public. Sample data for 180 companies are summarized as follows.a. Conduct a test of independence to determine if the employment plan for the next 12 months is independent of the type of company. At a .05 level of significance, what is your conclusion?b. Discuss any differences in the employment plans for private and public companies over the next 12 months. Read the excerpt from Iqbal. My first impression was that he was handsome. Then I thought, No, he isn't really good-looking. But he had such eyes. They were sweet and deep and they weren't afraid. He was standing at the threshold of the workroom with Hussain Khan's enormous hand gripping his arm and we were all looking at him. The fourteen of us child-slaves plus Karim, all observing another slave. He was one of the many who had come and gone over the years, but we felt that somehow, this new boy was different. He looked around at us, one by one. He was sad, of course, like anyone who has been away from home for a long time, like anyone who is little more than a slave, like anyone who can't imagine what will become of him. But I'm telling you this: He wasn't afraid. Why did the author choose to provide this fictional account of Iqbal Masih, who was a real person? Select 4 options. CorpServ is a small company with 14 client systems and a network printer. Because there are only a limited number of networked systems, you decide to use APIPA addressing for the network. With APIPA configured, all systems are able to communicate with each other, but you are having trouble configuring Internet access. What is the likely cause of the problem 3. Est-ce que vous aimez lesgazeuses?4. Vous mangez les ptes dans.5. Est-ce que tu assucre? Non, je n'ai passucre.6. Tu n'aimes pas ma robe? Mais, j'aime ta robe!7. Vous n'aimez pas les lgumes?, je dteste les lgumes!8. Est-ce qu'il y acaf? Non, mais il y aeau.Follow the example below and use the list of food items to compose complete sentences in French. Use the verb manger.Modle: Moi, j'adore les lgumes. Je mange des pommes de terre et de la laitue.Apples, beef, cakes, cherries, chicken, chocolate9. Eux, ils adorent les fruits.10. Nous, nous adorons la viande.11. Ils adorent le sucre.You are very polite. When asked if you do not like something, say that yes, you do, but give a logical excuse, such as that you are not hungry or not thirsty.12. Vous n'aimez pas le fromage?13. Vous n'aimez pas le jus de fruit?You are done being polite. You want to be honest. When asked if you do not like something, confirm that you don't. Answer with complete sentences.14. Tu n'aimes pas le lait?15. Elle n'aime pas le jus de fruit?Translate the following sentences:16. She sets the table with a plate, a knife, a fork, and a glass.17. We have some bread, some salt, and some pepper.18. I eat cereal for breakfast. a) Write 5^17 x 5^2 as single power of 5 AMP-PNP is a non-hydrolyzable analog of ATP that can bind to proteins in a similar manner as ATP but is no longer hydrolyzed. Predict what would happen to helicase activity if AMP-PNP were added to a DNA replication reaction. Choose one: A. Helicase would function normally, since AMP-PNP is not the same as ATP and would not bind to helicase. B. Helicase would function normally, since AMP-PNP is an analog of ATP and would function in the place of ATP. C. Helicase would function faster than normal, since the AMP-PNP is not hydrolyzed. ATP binding induces conformational changes, but hydrolysis slows DNA unwinding by helicase. D. Helicase would no longer function, since the AMP-PNP is not hydrolyzed. ATP binding and hydrolysis induce the conformational changes that facilitate DNA unwinding by helicase. Task: Use the principle in the photo to put together a weekly training program to develop the components of fitness to achieve personal goals for an elite athlete in your chosen sport.It has to consist of at least 2 rest days. Jason experiences a lot of stress related to his job and is depressed. Which of the following is not likely to be associated with Jason?a) He is likely to smoke more than othersb) He has a higher risk for arthritisc) He is at an increased risk for heart diseased) He is less likely to engage in physical exercise dentify the reasons why it is important for anthropologists to map the components of a built environment. Reason it Is Important The built environment can illuminate power structures. Press Space to open Human life and culture shape the built environment. Press Space to open The built environment shapes human life and culture. Press Space to open The built environment does not change. Read the given extract and answer the following questions. TOPIC: Swaminath and his friendsYou will be all right, Mother, he said on the day he left. Youve plenty of friends in Hampchester- and before long Ill write and ask you to come out to me in Canada.1. Who said these words to whom? 2. What kind of a son does he seem to be? Que es la resurreccin de los muertos? Which elements of an argument do these two passages share? Select three options.the same claimthe same purposea call to actionan appeal to emotionan appeal to reason A new patient dressed in dirty clothes and with poor personal hygiene comes to the physician's office without an appointment. The patient's appearance indicates that this person may not be able to pay for the office visit. In terms of nonverbal communication displayed by the office staff. how could the patient feel he or she is not to be seen? What body language will indicate that the medical assistant cares? Why is observation an important component of communication? a car travelled at 50km/hr for 3 hours, how far did the car travel if you were born in the middle ages, which of the following would you not be able to do?a. freely buy and sell property b. enjoy the rights and duties of your group membership c. inherit property