The lifetime of a certain type of light bulb can be approximated by a normal distribution. The list

gives the number of days a bulb can last for 10 light bulbs selected at random. Find the mean and

standard deviation of the data set. Then sketch a normal curve to represent the distribution.

25, 24, 32, 16, 22, 34. 19. 27, 18, 29

Answers

Answer 1

The standard deviation of the dataset is the square root of the variance

The mean and the standard deviation of the dataset are 24.6 and  5.70, respectively

How to determine the mean?

The dataset is given as;

25, 24, 32, 16, 22, 34. 19. 27, 18, 29

Calculate the mean using:

μ = Sum/Count

So, we have:

μ = (25+ 24+ 32+ 16+ 22+ 34+ 19+ 27+ 18+ 29)/10

Evaluate

μ = 24.6

How to determine the standard deviation?

The standard deviation is then calculated using:

[tex]\sigma =\sqrt{ \frac{\sum(x - \mu)^2}{n}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{(25 - 24.6)^2 + .................. + (27- 24.6)^2 + (18- 24.6)^2 + (29- 24.6)^2}{10}}[/tex]

Evaluate

[tex]\sigma = \sqrt{32.44}[/tex]

Evaluate the square root

[tex]\sigma = 5.70[/tex]

Hence, the mean and the standard deviation of the dataset are 24.6 and  5.70, respectively

Read more about variance at:

https://brainly.com/question/15858152

The Lifetime Of A Certain Type Of Light Bulb Can Be Approximated By A Normal Distribution. The Listgives

Related Questions

Question is in the picture below, please help.

Answers

Answer:

A)6 cm B)32 inch

Step-by-step explanation:

A)1 cm:8 inch

(1×6)cm:(8×6)inch

Thus, if the height is 48 inch, the scale in cm is 6 cm

B)Normal linear form

The length=4cm

(1×4) cm:(8×4) inch

Thus, if the scale length is 4 cm, the real painting length will be 32 inch

ASAP Pllease Giving 20 points

Answers

Answer:

20, 22 and 24

Step-by-step explanation:

18 / 3/4

18 x (4/3)

18 x 1.3333

23.9

≅ 24    

So if its ≅ 24, it means the answer is 24 and below. Therefore the three answers are 20, 22 and 24.

My sister needs help again quick

Answers

mistake: the storm trooper used the wrong order of solving the problem, you first do × and : and then + and -

correct answer:

6×7-16:4

= 42-4

= 38

Select the correct answer.
Which statement is always true?
A.
A cross section parallel to the base of a right rectangular prism is a square.
B.
A cross section perpendicular to the base of a right rectangular prism is congruent to the base.
C.
A cross section parallel to the base of a right rectangular prism is congruent to the base.
D.
A cross section perpendicular to the base of a right rectangular prism has the same dimensions as the base.

Answers

Answer: C. A cross section parallel to the base of a right rectangular prism is congruent to the base.

Step-by-step explanation: Cross sections that are parallel to the base will give the shape of the base.  That means that when you do a cross section that's parallel to the base, you're making a horizontal line that goes left to right that is the same as the base.  Therefore, C is your answer.

Let me know if this is right! :)

this really hard for me so if you could leave a explanation that would be great.

Answers

Answer: The answer is B and C.

Step-by-step explanation: Answer the main question and write down the answer then check each choice and see which one matches the answer you wrote down.

FIND THE AREA OF THE FIGURE BELOW

Answers

Answer:

220 squared units

Step-by-step explanation:

first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.

8*20=160

6*20=120

120/2=60

Finally, add them together and you get 220 units squared.

what is the area of a rectangle that has a length of 4.5 centimeters and width of 3.25 centimeters? use the formula A=l*w

Answers

Given the values for the length and width of the rectangle, area of the rectangle is 16.625 square centimeter.

What is a Rectangle?

A rectangle simply a is a 2-dimentional shape in geometry with 2 equal opposite sides and 4 corners each at 90 degrees.

The area of a rectangle is;

A = Length × Width

A = L × W

Given the data in the question;

Length of the rectangle L = 4.5cmWidth of the rectangle W = 3.25cmArea A = ?

To determine the area of the retcangle, we substitute our given values into the expression above.

A = L × W

A = 4.5cm × 3.25cm

A = 16.625cm²

Therefore, the area of the rectangle with the given length and width is 16.625cm².

Learn more about area of rectangle here: https://brainly.com/question/12019874

A baker mixes 8\frac{3}{4}8
4
3

cups of white flour with 2\frac{1}{2}2
2
1

cups of rye flour for a bread recipe.



​How many cups of white flour does the baker mix for every 11 cup of rye flour?

Answers

Fractions are written as the ratio of two integers. 3 1/7 cups white flour will be needed for every 11 cup of rye flour

Ratio and proportion

Fractions are written as the ratio of two integers. If a baker mixes 8 3/4 cups of white flour with 2 1/2 cups of rye, the number of cups of rye needed for 1 cup ofwhile flour will be:

For 1 cup of flour = (2 1/2)/(8 3/4)

For 1 cup of flour = (5/2)/(35/4)

For 1 cup of flour = 5/2 * 4/35
For 1 cup of flour = 2/7 cups of rye

For 11 cups:

For  11 cup of rye flour = 11 * 2/7

11 cup of rye flour = 22/7=3 1/7 cups

Hence 3 1/7 cups white flour will be needed for every 11 cup of rye flour

Learn more on ratio and proportion here:https://brainly.com/question/2914376

Hello! How to sketch the graph?

Answers

Answer:

Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line

In the figure shown, what is the measure of angle x?

Triangle ABC has measure of angle BAC equal to 40 degrees and the measure of angle ABC is equal to 70 degrees. The side BC of the triangle is extended till D. The angle ACD is labeled as x.

100 degrees
110 degrees
120 degrees
140 degrees

Answers

Given:-ABC is a triangle.[tex]\angle[/tex]BAC = 40°.[tex]\angle[/tex]ABC = 70°.

To Find:-Measure of [tex]\angle[/tex]ACD.

Solution:-

➾Firstly, we will find the measure of [tex]\angle[/tex]ACB.

We know that,

Sum of all interior angles of a triangle = 180°.

[tex]\rightarrow[/tex][tex]\angle[/tex]BAC + [tex]\angle[/tex]ABC + [tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] 40°+70°+[tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] 110°+[tex]\angle[/tex]ACB = 180°

[tex]\rightarrow[/tex] [tex]\angle[/tex]ACB = 180°-110°

[tex]\rightarrow[/tex][tex]\angle[/tex]ACB = 70°

So, the measure of [tex]\angle[/tex]ACB = 70°.

➾ Side BC of the triangle is extended till D. So, we have to find the measure of [tex]\angle[/tex] ACD.

As we know that,

Sum of any two or more angles that lie on a straight line = 180°.

So, [tex]\sf\angle{ACB}[/tex]+[tex]\sf\angle{ACD}[/tex] = 180°

[tex]\rightarrow[/tex] 70° + [tex]\sf\angle{ACD}[/tex] = 180°

[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 180°-70°

[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 110°.

Therefore, measure of [tex]\sf\angle{ACD}[/tex] = 110°.

____________________________

Hope it helps you:)

Help! The question is in the image.

Answers

Answer:

it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)

If the smaller pyramid has a surface area of 25.49 ft2, what is the surface area of the larger pyramid? round to the nearest hundredth. ft2

Answers

The surface area of the larger pyramid is 159.21 ft²

How to determine the surface area of the larger pyramid?

The surface area of the small pyramid is given as:

A = 25.49 ft²

The corresponding sides of the pyramids are:

Small = 6; Large = 15

The surface area of the large pyramid is then calculated using:

Area = A * (Large/Small)²

This gives

Area = 25.49 * (15/6)²

Evaluate

Area = 159.21

Hence, the surface area of the larger pyramid is 159.21 ft²

Read more about surface area at:

https://brainly.com/question/4149680

Answer:

159.31

Step-by-step explanation:

Right on Edge

Find the number that makes the ratio equivalent to 36:81.
4:

Answers

Answer:

9

Step-by-step explanation:

9*4 = 36

9*9 = 81

divide both by 9 and you get 4:9

What is the perimeter of 4ft and 8ft

Answers

Answer:

24

Step-by-step explanation:

4+4+8+8

8 + `16 = 24

Tess owns a fudge shop in town. She made 3 pounds of fudge and cut it up into 12 equal-sized squares. Tess sells fudge for $2 per pound. A customer bought 5 squares of fudge. How much money did the customer spend?

Answers

the customer spent $13 if it's not 13 it's the closest answer too 13

Answer:

$0.85, or 85 cents.

Step-by-step explanation:

To find this, we first need to find out how much it costs for one square. We know it is $2 per pound, and there are twelve squares in each pound. So to find out how much one square costs, we need to divide $2 by 12. We get an answer that is never-ending when we solve this, so we will round to the hundredths place since we are working with money. What we get as a result is that one square costs $0.17.

Now we multiply the above number by five to find out how much the customer spent. This comes out to be $0.85. In total, the customer spent 85 cents for all five squares of the fudge.

X-5y= -3

3x-5y=11


please show work

Answers

Answer:

x= -4

Step-by-step explanation:

You need to the elimination method!

x-5y=-3

3x-5y=11

You need to multiply the top by -1

This means every number has to be multiplied by -1 on the x-5y=-3

-x+5y=3

3x-5y=11

The 5y's should cancel out

-x=3

3x=11

Now do -x+3x and 3-11

2x=-8

x= -4

What is the equation of the following line? Be sure to scroll down first to see all answer options.

Answers

Answer: D

Step-by-step explanation:

Using the two point slope form with points (0, 0) and (4, -3):

[tex]\frac{y-0}{x-0}=\frac{4-0}{-3-(0)}[/tex]

[tex]\begin{aligned}&\frac{y}{x}=\frac{4}{-3} \\&y=-\frac{3}{4} x\end{aligned}[/tex]

Therefore, D is the correct answer

Answer:

D. y=-3/4x

Step-by-step explanation:

because when doing slope, you have to remember that it goes y/x and the fact that this is a negative slope meaning that you count from point (0,0) to (4,-3), and the lines on the graph count by 2's, so you would be counting down 3 (because point (4,-3) is inbetween -2 and -4) and to the right 4. making the answer -3/4, and it is negative because it is a downward facing slope. oh, and the x is there because it is an ever changing variable (ever continuing)

For PQR, which one is equal to sin(P)?

Answers

Answer:

The third option.

[tex]cos(Q)=\frac{RQ}{PQ}[/tex]  

Step-by-step explanation:

SIN is opposite over hypotenuse.

COS is adjacent over hypotenuse

Therefore

[tex]sin(P)=\frac{RQ}{PQ}[/tex]

Then we have 4 options.

It is not the first option beacause we can't determine which side is adjacent to the angle.

The second option

[tex]sin(Q)=\frac{RP}{QP}[/tex]

The third option

[tex]cos(Q)=\frac{RQ}{PQ}[/tex]

It is not the fourth option beacause we can't determine which side is opposite to the angle.

Finally we see that

[tex]cos(Q)=\frac{RQ}{PQ}[/tex]  

and

[tex]sin(P)=\frac{RQ}{PQ}[/tex]

are equivalent.

can somebody please tell me the awnser

Answers

Answer: 50ft I think

Step-by-step explanation: add them all . The length of a line is missing so make 16 minus 6 will give you 10 and add the rest . Please mark brainliest . 4 and 10 and 5 and 6 and 9 and 16 Will give 50 ft only

Ah, yes. Perimeters. Perimeters are found by adding up the lengths of all the sides. But, as stated in the question description, there's one side missing. The way we find it is by subtracting the 6-foot side from the 16-foot side. The way this works is because 1) every corner is a right angle 2) and if that's so, the side with no number and the 6-foot side will add up to equal 16 feet, the same as the side opposite it.

If we subtract 6 from 16, we get 10. So, therefore, the missing side's length is 10 feet.

Now let's add all the sides together.

9 + 6 + 5 + 10 + 4 + 16 = 50

The perimeter of this shape is 50, if my geometry memory serves me correctly.

I hope this answers your question.

-Toremi

Megan played 5 Sudoku games that were at medium
difficulty level. The mean completion time per game
was 5.9 minutes. She completed a sixth Sidoku game
in 2 minutes and 54 seconds. Which of the following
statements must be true about the changes between
Megan's completion times for the 6 games and her
completion times for the 5 games?
A) The mode of the 6 completion times decreased.
B) The median of the 6 completion times remained
the same.
C) The mean completion time per game for the
6 games increased by 2.9 minutes.
D) The mean completion time per game for the
6 games decreased by 30 seconds.

Answers

D but im not sure about it

Consider the following polynomial

Answers

Step-by-step explanation:

Degree is 6

Leading coefficient is 5

Constant term is 8

How do you know if an equation of a line is a vertical line?

Answers

Answer:

similarly,on the graph in vertical line,x only takes value.thus, the equation for a vertical line is x=a,where is a value that x takes.

80 wpm how many words typed while typing 12 hours straight

Answers

Answer:

57600 words in 12 hours.

Step-by-step explanation:

80 wpm means 80 words per minute.

We need to know how many minutes are in a 1 hour which is 1 hour is 60 minutes.

We want to know how much words in 12 hours.

Given:

[tex]\frac{80 word}{1 min}, \frac{60 min}{1 hour},\frac{12 hour}{1}[/tex]

[tex]\frac{80 word}{1 min} *\frac{60 min}{1 hour} *\frac{12 hour}{1} =[/tex] 57600 words in 12 hours.

Answer: 57,600

Step-by-step explanation:

80 × 60 = 4800 in 1hr

4800 ×12 = 57, 600 in 12hrs

how to find the area of a circle

Answers

A=πr²

where

π -> pi (3.14...)

r - radius

r² means you multiply r times itself

Hope it helps!

Which angles are not supplementary

Answers

Answer: Choice c)

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

Explanation:

Choice a) can be ruled out because angles A and D are supplementary. Supplementary angles add to 180 degrees by definition. They form a straight line or straight angle.

Choice b) and choice d) are eliminated for similar reasoning as choice a).

Choice c) is the only thing left. It turns out that angles B and D are not supplementary, but rather they are vertical angles. They are opposite one another in this X shape. Vertical angles are always congruent.

Note: Angles B and D are supplementary if and only if the angles are 90 degrees each.

Rectangular pyramid B is the image of rectangular pyramid A after dilation by a scale factor of 33. If the surface area of rectangular pyramid B is 1215 cm^2
2
, find the surface area of rectangular pyramid A, the preimage.

Answers

After dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

To find the area of rectangular pyramid A given rectangular pyramid B, we need to know its scale factor.

What is scale factor?

Scale factor is the ratio of the corresponding sides of two objects.

Now, since rectangular pyramid B is the image of rectangular pyramid A, we have that (since we are dealing with areas)

(Scale factor)² = surface area of rectangular pyramid B/surface area of rectangular pyramid A

Surface area of rectangular pyramid A

So, surface area of rectangular pyramid A = surface are of rectangular pyramid B/(scale factor)²

Since

scale factor = 33 and surface area of rectangular pyramid B = 1215 cm²

surface area of rectangular pyramid A = surface area of rectangular pyramid B/(scale factor)²

So, substituting the values of the variables into the equation, we have

surface area of rectangular pyramid A = 1215 cm²/33²

= 1215 cm²/1089

= 1.12 cm²

So, after dilation by a scale factor of 33, the surface area of rectangular pyramid A, the preimage is 1.12 cm²

Learn more about scale factor here:

https://brainly.com/question/26467371

express 1.284 in form of p/q

Answers

Step-by-step explanation:

1.284=1284/1000

divide both by 4

=321/250

Quickly before the timer runs out

Answers

Answer:

47°

Step-by-step explanation:

sum of angles in triangle=180

x + 90 + 43 = 180

x = 180 - 90 - 43

  = 47

Hope it helps:)

Expand & simplify
4
(
2
p
+
2
)
+
6
(
2
p

3
)

Answers

Answer:

The answer is 20p – 10 or 10(2p – 1)

Step-by-step explanation:

4(2p + 2) + 6(2p − 3)

8p + 8 + 12p – 18

20p – 10 or 10(2p – 1)

5. Jane invests $5,000 in a stock that loses 2% per year on average. Eqn:​

Answers

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

Step-by-step explanation:

please mark brainliest if you can thx <3

Answer:

5000(0.98)^x, with x being the amount of years

Other Questions
Please help me figure this out using the letters Question 7 of 10Which situation involves a conditional probability?O A. The probability that you make a second free throw given that youmade the first free throwB. The probability that you are given a book for your birthdayO C. The probability that you make two free throws in basketballD. The probability that you roll a 6 on a number cubeSUBMIT Anthropology is a "holistic" social science, which means that it seeks to understand all aspects of human life. How has anthropology made connections across aspects of life such as economics, politics, language, history, biology, etc.? Provide examples For what value of k will the following linear system have infinitely many solutions?2a+b=-6, 6a+kb=-18 (04.03 MC) Which description properly describes a step involved in cellular respiration?A. Glucose is created, then the energy gained is transferred to the energy molecule. B. Carbon dioxide and water are released after the energy molecule is charged.C. Water is divided into carbon dioxide and glucose. D. Oxygen is combined with ATP to energize it. Help picture below problem 20 What is 10+10-4x3=??I will give a free brainliest to the first person to respond to this question :) Choose the direct form of the given sentence:Tina asked Rohan if he would help her that day. 9) Which date is assigned the serial number of 1?A. January 1, 1700 B. January 1, 2000 C. January 1, 1900 D. January 1, 1800 How do we do this? The sub gave us the wrong work and isnt explaining it! Help please!!! what does harjo mean when she says, "sometimes I feel that I write as a painter. It's almost as if I paint the poems" ? PLS ANSWER THIS QUESTIONI WILL MARK BRAINLIEST FASTTTTT Please can anyone explain what these do or how they help? It's for an essay. Dont answer if you don't know the answer or want the points. - Discuss the need for the Department of Homeland Security.- Discuss the importance of protecting individuals' Constitutional freedoms.- Discuss how the Department of Homeland Security can best do its job of protecting the American people without infringing their rights of the people. Where or how do we "draw the line" between security and rights? Out of 40 girls, 10 girls can cookwell. What fraction of girls cancook well? CAN SOMEONE HELP ME PLSSSSSS I ASKED THIS LIKE 3 TIMES BUT NO ONE ANSWERED.THABKYOU!Determine the area of the park that is not covered by the wading pool. What was the Manhattan Project ? the codename for the invasion of France at Normandy the name of the B - 29 bomber that dropped an atomic bomb on Hiroshima the top - secret program to develop an atomic weapon the strategy of liberating Japanese - held islands to move closer to an attack on Japan itself Growland is a country that trades only with Canada. Last year, the value of exports from Growland to Canada was $200 million. Growland alsoimported $600 million worth of goods from Canada. Based on this information, which of these statements is true? Joseph baked cookies for his french class's end-of-year party. there are 28 people in joseph's french class including joseph and his teacher. joseph baked enough cookies for everyone to get 3 cookies each. how many cookies did joseph bake? pls help me this is so frustrating Trevon works long hours at a desk. He knows that he needs a more active lifestyle to be healthy, but his job is very demanding. Starting an intense exercise program on top of everything else seems like too much. What would be the BEST way for Trevon to change his habits?A. He should start by making small changes, like short walks during lunch.B. He should design a daily exercise regime that requires getting up an hour early every day.C. He should recognize that this is a busy time and plan an exercise routine when his job is less demanding.D. He should change all of his unhealthy habits at once to maximize the health benefits of these changes.