The number of copies made each week by teachers at Lamley High School follows a bell-shaped distribution with a
mean of 550 copies and a standard deviation of 185 copies. Mr. Thomas made 782 copies last week. His Z-score is
1.25. Which of the following statements best interprets this value?
O Mr. Thomas made 125 more copies, on average, than the mean number of copies of teachers at Lamley High
School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the median number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the median number of copies of
teachers at Lamley High School.

Answers

Answer 1

Answer:

3. The number of copies he made is 1.25 standard deviations more than the mean number of copies made by teachers.

Step-by-step explanation:

In statistics, a z-score is measurement that describes a value's relationship to the mean and allows us to compare the value and the mean. It tells us how many standard deviations above or below the population mean.

Mr. Thomas has a z-score of 1.25.

He made 782 copies last week. The statistic this is being compared to is the mean of 550 copies by teachers per week at Lamley High School.

Therefore, the best interpretation is Mr. Thomas made 1.25 standard deviations more than the mean number of copies. The correct answer is choice 3.

Let's make sure the other choices are incorrect.

The first answer is incorrect because a z-score doesn't compare the exact values, but uses the standard deviation to compare. The second answer is incorrect because he made 782 copies, while the mean was 550. He made more copies, plus the z-score is positive. The fourth and fifth answers are incorrect because the z-score doesn't use the median to compare.

Related Questions

What is probability that matt will select one of the letters in the word jump

Answers

Answer:

1 outta of 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 out of 4

there are four letters and the probability he will chose one is one out of the four letters.

What is the volume of this container?

Answers

Answer:6000 cm3

Step-by-step explanation:You do 20x10x15=3000. Then you do 3000x2= 6000. So your answer will be 6000cm3

Using 3.14 for , what is the volume of the cylinder?
O A. 21.771 cubic meters
O B. 32.656 cubic meters
O C. 65.312 cubic meters
O D. 169.811 cubic meters

Answers

65.313 will be the answer

The diagram shows the length and width of two boxes of flowers. The length and width of the two boxes of flowers are proportional. What is the length, in inches, of the smaller box of flowers?

Answers

Answer:

I sont know

Step-by-step explanation:

Answer:

4 inches

Step-by-step explanation:

since 5 is half of 10, 4 is half of 8.

An employee at the metropolitan museum of art surveyed a random sample of 150 visitors to the museum. Of those visitors, 45 people bought food at the cafeteria.Based on those results, how many people out of 1750 visitors to the museum would be expected to buy food for the cafeteria? NO LINKS!

Answers

Answer:

525 will the answer

Step-by-step explanation:

An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms

Answers

Answer:

The % of women above 50 having mammograms as devised from the survey is 70%.

Step-by-step explanation:

Given

60% of women older than age 50 have annual mammograms

Out of 1000 surveyed women of  age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms

The % of women above 50 having mammograms as devised from the survey is 70%.

Annabelle’s bicycle has a wheel radius of 13 inches. She places a sticker on the wheel so that its minimum height above the ground is 0.5 inches. When she rides her bicycle, the wheel completes 90 revolutions every minute. The sticker begins at its minimum height above the ground. Which equation models the height in inches of the sticker after x minutes? y = 0.5 sine (180 pi x) + 13 y = 12.5 sine (180 pi x) + 13 y = 0.5 sine (180 pi x minus StartFraction pi Over 2 EndFraction) + 13 y = 12.5 sine (180 pi x minus StartFraction pi over 2 EndFraction) + 13

Answers

Answer:

[tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]

Step-by-step explanation:

In order to solve this we can start by drawing a sketch of the problem (see attached picture)

So fist, let's take the general form of a sinusoidal movement:

[tex]y=Asin(\omega x+\phi)+b[/tex]

where:

A= amplitude

[tex]\omega[/tex]= angular frequency

x= time

[tex]\phi[/tex] = horizontal shift

b= vertical shift.

In this case, the amplitude will be the maximum distance between the center of the wheel and the highest or lowest point of the trajectory, in this case:

A= 13in - 0.5in =12.5 in

The angular frequency is how many radians the wheel will turn in a minute, so we get:

[tex]\omega=\frac{90 rev}{min}*\frac{2\pi rad}{1 rev}[/tex]

[tex]\omega=180\pi rad/min[/tex]

Generally, the sin function will start at the center of the circular movement. In this case, since it starts on the lowest point, we can say that the graph moves right by [tex]\frac{\pi}{2} rad[/tex], so in this case:

[tex]\phi=-\frac{\pi}{2}[/tex]

and finally, the vertical shift is the distance between the center of the circular movement and the ground so in this case:

b=13in

so when putting it all together we get our equation to be:

 [tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]

find the length of x


help please i need it asap

Answers

Step-by-step explanation:

[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]

#CMIIW

Anyone know the answer?

Answers

Answer:

12.4

Step-by-step explanation:

help again . ill give you 15 points.

Answers

Most students are 67 and 68 inches tall

A computer is priced at $1575, but is on sale for 15% off. What is the price of the computer
after the discount and 7.5% sales tax?

Answers

Answer:

$1439.16

Step-by-step explanation:

1.) 15% of 1575

1575 x 0.15 = 236.25

1575 - 236.25 = 1338.75

So 15% of $1575 = $1338.75

2.) $1338.75 with sales tax if 7.5%

1338.75 x 0.075 = 100.40625 rounded to the nearest hundredths place is 100.41

1338.75 + 100.41 = 1439.16

so you answer is $1439.16

Nick has a bag of 30 pieces of candy.
There are an equal number of Nerds, Starburst
& Jolly Ranchers. Only Nick's favorites!
Callie chooses candy randomly from the bag.
.
What is the probability that she will choose a Starburst
or Jolly Rancher?

Answers

Answer

2/3

Step-by-step explanation:

there are only 3 kinds of candy here and since they all have a equal number they have a chance of 1/3 each but since it is starburst OR jolly its 2/3

Remy has 4 monster trucks, 3 fire trucks, 1 ambulance, and 2 taxis he will randomly choose one from his toy box
What is the probability that remy will choose a taxi?


A 1/10 b 1/5 c 2/4 D 1/3

Answers

Answer:

Your answer should be A forgive me if i am wrong.

Step-by-step explanation:

It should be B because there are two taxis out of the 10 toys...

Find the exponential function that contains the points (0,5) and (2,20)

Answers

Do it open the link takes all your information have a good one

You go to the quad on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36° with the ground. How high is the kite in the air? Round your answer to the nearest tenth. Show your work!.

Answers

1800 odkdkcheidncncmk

Answer:

23.51m is the height

Step-by-step explanation:

the kite creates a triangle. 40•sin(36°) = 23.51141009 and round it to 23.51

1. Name an example of a real-world data set, not yet mentioned in the course, where you would typically expect to see a normal distribution. Be sure to describe what the labels would be for the horizontal and vertical axis of the display. Then explain why you would expect a normal distribution. What range of data values would you expect to represent 1 standard deviation from the mean? (15 points; 10 for your answer, 5 for response to others' comments.)​

Answers

Answer:

1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.

Help on this math question. 25 points.

Answers

Answer:

the third one

Step-by-step explanation:

X=180-(67+52) this is the correct answer

A circular patio has a radius of 4 yards. The patio is expanded so that the
radius increases by 2 yards. By how many square yards does the area of the
patio increase?

Answers

Answer:

20pi or 62.83

Step-by-step explanation:

when r=4

pi r^2

16pi

when r=6

pi r^2

36pi

36pi-16pi=20pi or 62.83

Sketch pad and six pencils is $22.53. Sketch pad cost $9.99. Each pencil cost the same amount. How much does each pencil cost? Show your work.

Answers

Answer:

22.53-9.99=12.54

12.54 divided by 6 = 2.09

Each pencil costs $2.09

Please Help Will Give Brainliest

Answers

Answer:

1) 70 for both of them

2) Plot A's range is 100-50 = 50, Plot B's range is 100 - 40 = 60 so Plot A has the lesser range

3) Plot B's IQR is 85 - 60 = 25, Plot A's IQR is 80 - 65 = 15 so Plot B has the greater IQR

4) A: 80, B: 85

5) A: 65, B: 60

6) 50

7) 100

8) Plot B, see #2 for work

9) 50% - 50% of data is always between Q1 and Q3

10) 25%

11) 25%

Find the area of each figure. Round to the nearest tenth if necessary

Answers

Answer:

c. 143.8 m³

Step-by-step explanation:

The figure can be decomposed into a semicircle and a trapezoid

Area = area of semicircle + area of trapezoid

= ½(πr²) + ½(a + b)h

Where,

r = ½(9) = 4.5 m

a = 9 m

b = 23 m

h = 7 m

Area of the figure = ½(π*4.5²) + ½(9 + 23)7

Area of the figure = 31.81 + 112

= 143.8 m³

23/24
What does a quartile mean?
All of the data
One fourth of the
data.
One half of the
data

Answers

Answer:
One fourth of the date
Explain: quartile=quarter

How do you know if a number is rational irrational or not real number

Answers

Answer:

A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.

Step-by-step explanation:

I hope this helped you!

If y = 4x, x = 2z, and z = 3a, what is the value of y - x in terms of a?
A) -20a
B) -18a
C) 6a
D) 18a
E) 20a
With steps please

Answers

Answer:

D) 18a

Step-by-step explanation:

y - x

= 4x - x (plug y = 4x)

= 3x

= 3(2z) (plug x = 2z)

= 6z

= 6(3a) (plug z = 3a)

= 18a

Mason made 5 quarts of salsa. Which of the following can be used to find the number of cups of salsa Mason made.

A: 5x2x5
B: 5x4x4
C: 5 divided by 2 divided by 2
D: 5x4 divided by 2

Answers

Answer:

A

Step-by-step explanation:

Can someone help me with this question plz.

Answers

Answer:

........................point A

Answer:

point C

Step-by-step explanation:

if you count from 0 with the difference of number 5 then it will be 0.75 in point C

Find 110.9% of 133. Round to the nearest hundredth.

Answers

Answer:

147.50

Step-by-step explanation:

It is easy to set up the equation as a “butterfly”

x/133 = 110.9/100

cross multiply:

133(110.9)=100x

14749.7=100x ————-divide by 100 to get x alone

147.497 which would round to 147.50

Answer:

147.50

Step-by-step explanation:

BIG BRAIN AND MENTAL MATH

I'LL GIVE BRAINLIST TO THE FIRST ANSWER

Answers

Answer:

4

Step-by-step explanation:

2/5*100 = 40

40/10 =4

Answer:

4

Step-by-step explanation:

2/5 of a century is 40 years. 40 years is 4 decades

Help me I have this due today!!!

Answers

Answer:

The answer is 21/25.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Is Urgent ......The satisfaction that consumers get from their purchases is known as what?
A. Materialism
B. Marginalism
C. Subjectivity
D. Utility

Answers


“Subjectivity” is the answer i believe .

Answer: D

Step-by-step explanation:

Fits the definition

Other Questions
What is 602.88 rounded to the nearest hundredth? 6Select all the expressions that equal 410 If youre fluent in Spanish plz help me :) Escoge la major respuesta. Cuntos cuesta esta pulsera? A. Treinta dlares.B. Es de mejor calidad. C. Se aceptan tarjetas de crdito. If a police officer wants to switch careers and become an electrician, she would probably seek out:Vocational trainingESL classesGED classesContinuing education training What are 5 differences between prokaryotic and eukaryotic cells? If a new student hesitantly approaches you in the hallway, what does he most likely do?A. He sticks out his hand boldly.B. He moves slowly and a bit shyly.C. He eagerly offers to share something.D. He thoughtlessly pushes right past you. What is meant by trophic levels? A cell triples in weight every hour. The cell initially weighs 0.02 grams. Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk, and chair.(a) How many ways can this be done, if the order of the choices is relevant??(b) How many ways can this be done, if the order of the choices is not relevant? Is it A.B.C.D. plsssssssssssssssssssssss help 10 points15. What is the rule for an arithmetic sequence whose first term is 12 and the commondifference is 9? Select the correct answer.Choose the correct possessive pronoun to use in place of the highlighted word(s).The baseball gloves are the teamsA.theirsB.hisC.oursD.yours Evaluate x^4 x^-2 when x = 5 What is the 15th term in the sequence with the given formula?An = 7n 10 what is 2883272032+1 Compare 1.41___1.397= Write an expression that matches; 8 less than z Aaron has a pencil that isfoot long.foot long. He has a pen thatis 0.7 foot long. Measured infeet, how much longer is Aaron'spencil than pen? Nosotras ____ dos gatos.tenemostienestiene