In a normal distribution, 68% of the data fall within how many standard
deviations of the mean?
A. Two standard deviations
B. One standard deviation
C. It cannot be determined from the given information.
D. Three standard deviations

Answers

Answer 1
B, my teacher just taught us this :)
Answer 2

In a normal distribution of data, 68% of the data fall within one standard deviations of the mean.

What do you mean by normally distributed data?

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]

Here the mean of distribution of X is [tex]\mu[/tex]  and standard deviation from mean of distribution of X is [tex]\sigma[/tex].

Thus, in a normal distribution of data, 68% of the data fall within one standard deviations of the mean.

Learn more about the normally distributed data here;

https://brainly.com/question/6587992

#SPJ2


Related Questions

What is the percent of increase from 54 to 81?

Answers

The increase percentage is 50 percent because the new value is greater than the old value.

Answer:

50

A change from 54 to 81 represents a positive change (increase) of 50%

1 litre is equal to how many decalitre​

Answers

1 liter = 0.1 decaliter

Divide the volume value by 10

Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?

Answers

Answer:

She has to invest $5,160 for the value of the account to reach $7,600 in 7 years.

Step-by-step explanation:

Continuous compounding:

The amount of money earned, after t years, in continuous compounding, is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the value of the initial investment and r is the interest rate, as a decimal.

Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously.

This means that [tex]r = 0.057[/tex]

How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?

We have to find A(0) when [tex]A(t) = 7600, t = 7[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]7600 = A(0)(1+0.057)^7[/tex]

[tex]A(0) = \frac{7600}{(1.057)^7}[/tex]

[tex]A(0) = 5156[/tex]

To the nearest ten dollars, she has to invest $5,160 for the value of the account to reach $7,600 in 7 years.

Music streaming services are the most popular way to listen to music. Data gathered over the last 12 months show Apple Music was used by an average of 1.73 million households with a sample standard deviation of 0.46 million family units. Over the same 12 months Spotify was used by an average of 2.17 million families with a sample standard deviation of 0.33 million. Assume the population standard deviations are not the same. Using a significance level of 0.01, test the hypothesis of no difference in the mean number of households picking either service.

Answers

Answer:

There is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

Step-by-step explanation:

The parameters of the music streaming service are;

The average number of households using Apple Music, [tex]\overline {X}_1[/tex] = 1.73 million

The standard deviation, σ₁² = 0.46 million

The average number of households using Spotify, [tex]\overline {X}_2[/tex] = 2.17 million

The standard deviation, σ₂² = 0.33 million

The significance level = 0.01

Hypothesis testing with different population standard deviation

[tex]Z = \dfrac{\overline {X}_1 - \overline {X}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} +\dfrac{\sigma_2^2}{n_2}} }[/tex]

H₀: [tex]\overline {X}_1[/tex] ≠ [tex]\overline {X}_2[/tex]

H₁:  [tex]\overline {X}_1[/tex] = [tex]\overline {X}_2[/tex]

[tex]Z = \dfrac{1.73- 2.17}{\sqrt{\dfrac{0.46^2}{12} +\dfrac{0.33^2}{12}} } = -2.6923[/tex]

p-value for the test statistic = 2 × P(Z <-2.6923) = 2 × 0.00357 = 0.00714

Therefore, the p-value is less than the significance level, and it is therefore unlikely that the result will be observed under the null hypothesis

We therefore reject the null hypothesis and there is enough statistical evidence to suggest that there is no difference between the mean number of households picking either service

Mark was thinking of a number. Mark subtracts 6.2 from the number and gets an answer of 68. Form an equation with
x
from the information.

Answers

Answer:

X= 6.2 + 68 ???

Step-by-step explanation:

I'm not sure that's what I would write in an exam


The prism shown has a volume of 35 cm^3
Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm

Answers

Answer:

[tex]Height = 2.5[/tex]

Step-by-step explanation:

Given

[tex]Volume = 35[/tex]

[tex]Length =7[/tex]

[tex]Base=4 cm[/tex]

Required

Determine the height

The volume is calculated as:

[tex]Volume = Height * Base\ Area[/tex]

Since, it has a triangular cross-section, the expression becomes:

[tex]Volume = Height * \frac{1}{2} * Base * Length[/tex]

So, we have:

[tex]35 = Height * \frac{1}{2} * 4 * 7[/tex]

[tex]35 = Height * 14[/tex]

[tex]Height = 35/14[/tex]

[tex]Height = 2.5[/tex]

can u guys help me with y?

Answers

Answer:

Step-by-step explanation:

Given condition

y = x + 5

When x = - 1

y = - 1 + 5 = 4

when x = 0

y = 0 + 5 = 5

when x = 1

y = 1 + 5 =6

hope it helps :)

A regular computer screen has a area of A square inches. The width of the computer screen is 7 inches. Which equation represents x,length of the computer screen in inches.

Answers

Answer:

7 square inches hope this helps brainlest plzzz

Step-by-step explanation:

A parallelogram has an area of 37.72 m² and a height of 4.6 m.

How long is the base of the parallelogram?

Enter your answer as a decimal in the box

Answers

Answer:

8.2m

Step-by-step explanation:

Formula : Area = base x height

rearrange : Base = area ÷ height

37.72÷4.6=8.2m

Answer:

8.2

Step-by-step explanation:

The sum of half of a number and 49 is 2 1/4 of the number. Find the number

Answers

try −23.375 pretty sure that’s it i did the math lmk if i’m wrong just in case

Answer:

x = 28

Step-by-step explanation:

given,  x/2 + 49 = 21/4

x/2 + 49 = 9x/4

2x +196 = 9x

7x = 196

x = 28

I hope this helps a little bit.

can someone help me please​

Answers

The answer is the letter A)(3,6)

Answer:

A' = (1, 2)

B' = (2, 3)

C' = (2, 4)

Step-by-step explanation:

Ok so you are given the scale factor of 1/3. You will basically multiply 1/3 to all of the values of point A, B, and C in order to find the values of point A', B', and C'.

A = (3, 6) ---> 3 × 1/3 = 1 and 6 × 1/3 = 2

A' = (1, 2)

B = (6, 9) ---> 6 × 1/3 = 2 and 9 × 1/3 = 3

B' = (2, 3)

C = (6, 12) ---> 6 × 1/3 = 2 and 12 × 1/3 = 4

C' = (2, 4)

Hope this helps and stay safe, happy, and healthy, thank you :) !!

If the total cost is $30, use your expression to determine the cost per person.

Answers

Answer:

Well, how many people are there?

Step-by-step explanation:

We can't solve this without the number of people.

Mr.Falcons pizza shop offers two sizes of pizza. The XL large and XXL pizza with diameters of 20 inches and 22 inches. What is the difference between the two pizza?

Answers

Answer:

one is 2 inches bigger that the other.

Step-by-step explanation:

becuase if one of the pizza is 20in ans the other is 22 the 20 on is only 2in away frof the XXL pizza .

I am so smart lol lol lollololololololololollololololololollolololololollololo

Answers

Answer:

2. c. 1/2

3. d. 13/16

5. d. 5/12

1. b. simplified

4. b. Nicholas did not divide the numerator and..............

Answer:

i know it’s been months since you posted this question but...

Step-by-step explanation:

2. c) 1/2, 9/18 / 9 = 1/2

3. d) 13/16, 26/32 / 2 = 13/16

5. d) 5/12, 10/24 / 2 = 5/12

1. b) simplified, you can’t simplify 8/9, it’s already smaller.

4. b) Nicholas did not divide the numerator and denominator by the same number, the GCF [greatest common factor]. 4/5 is not equivalent to 20/30. He should have divided by 10. 20/30 = 2/3.

why does that say 20/24 tho?- i think it meant 20/30.

i hope this helped! also, a definition of gcf:

GCF - A set of numbers' greatest common factor (GCF) is the largest factor that all of the numbers share. Twelve, twenty, and twenty-four, for example, all have two common factors: two and four. The GCF of 12, 20, and 24 is 4 since the highest is 4. The GCF method is often used to identify common denominators.

Laura says her triangle has angle measures of 100', 88°, and 72°.

Answers

Answer:

First, realize that angle ABC is the sum of the two other angles. Hence, form an equation in which you subtract the measure of one of the angles from angle ABC to get the measure of the other angle -- the one you are solving for.

Step-by-step explanation:

Mark me brainly please hop this helps.

Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.​

Answers

Answer:

Step-by-step explanation:

Pythagorean theorem,

Hypotenuse² = base² + altitude²

Substitute the known values and you can find the missing length

h(t)=-16t^2+80t+64 after 40 feet off the ground

Answers

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

Matt started his own company where he rents used textbooks to struggling college students at multiple Universities for a low rate. Over the last few years Matt has been able to collect a total of 250 textbooks for his business at Temple University. Unfortunately, students can be irresponsible and lose their textbook rental causing a loss for Matt. Based on past information Matt has collected the data below for Temple University based on losses per semester. #
of losses per semester Probability
0 0.08
5 0.16
10 0.28
15 0.32
20 0.14
25 0.02
a. Calculate the expected frequency of losses per semester. (2 points)
b. Calculated the variance. (2 points)
Now assume that when losses do occur, they are non-random and losses equal $60.
c. Calculate the expected losses per semester? (2 points)
d. Calculate the expected losses for ALL textbooks per semester. (1 point)
e. Calculate the expected losses for ALL textbooks for the next 2 school years (4 semesters). (1 point)

Answers

Answer:

a. Expected frequency of losses per semester = 0*0.08 + 5*0.16 + 10*0.28 + 15*0.32 + 20*0.14 + 25*0.02

Expected frequency of losses per semester = 11.7 losses per semester

b. Variance = (0-11.7)²*0.08 + (5-11.7)²*016 + (10-11.7)²*0.28 + (15-11.7)²*0.32 + (20-11.7)²*0.14 + (15-11.7)²*0.02

Variance = 10.9512 + 7.1824 + 0.8092 + 3.7848 + 9.6446 + 3.5378

Variance = 35.61

c. As losses equal $60, expected losses per semester = 11.7*$60 = $702

d. Expected losses of all textbooks per semester = 250*11.7*$60 = $175,500

what is the answer for number 1?

Answers

Answer:

28.26

Step-by-step explanation:

A = pie x radius*2

The radius is 3, and pie is 3.14. This means the equation is

A = 3.14 x 3*2

3*2 is just 3 x 3, which is 9.

9 x 3.14 = 28.26

Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change? explain in two sentence

Answers

Answer: After Nancy bought the sandwich, the cashier handed back $2.36

Step-by-step explanation:

Solve for [x]. The pair of polygons are similar.
The scale factor from A to B is 1:2

Answers

Answer:

13

Step-by-step explanation:

Which of the following situations result in an answer of 2/3? Select three that apply.

A: three dogs each drink 2 cups of water. How many cups of water does each dog drink in all?
B: Two apples split among 3 people. How much of an apple does each person recieve?
C: Two gallons of water needed to fill 3 fish tanks of an equal size. How many gallons of water are required for each tank?
D: Three cupcakes are divided among 2 children. How much of a cupcake would each children receive?
E: Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?
F: Three cats share 2 cans of tuna. How much of a can does each cat receive?

Answers

B: is the best answer because there splitting 2 apples among 3 people and that means there’s not enough for all, so they all receive 2/3 of an apple to all get shared with equally. Hopefully this helps!

The formula for any geometric sequence is an = a1 · rn - 1, where a n represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence -3, -6, -12, -24, ...?

an = -2 · (-3) n - 1
an = 2 · (-3) n - 1
an = -3 · 2 n - 1
an = -3 · (-2) n - 1

Answers

Answer:

C

Step-by-step explanation:

The formula for any geometric sequence is:

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Where aₙ is the value of the nth term, a₁ is the value of the first term, r represents the common ratio, and n represents the term number.

We want the formula for the geometric sequence:

-3, -6, -12, -24, ...

Note that our first term is -3. Hence, a₁ = -3.

Next, each subsequent term is twice the previous term. Hence, our common ratio r = 2.

Therefore, by substitution, we acquire:

[tex]a_n=-3\cdot (2)^{n-1}[/tex]

Our answer is C.

% growth Growth factor

a 19% (1 + 0.19) = 1.19

b 3% ____________________

c 9.1% ____________________

d 41.3% ____________________

Answers

Answer:

growth factor for what?

What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?

-6,144
-118,098
-3,072
-354,294

Answers

Answer:

3072

Step-by-step explanation:

double the number until the 11th time which would be -3072 so C

Jim is 5 feet tall. What is his height in inches?
Helppppppp

Answers

Answer:

5 feet = 60 inches

Step-by-step explanation:

Every foot is 12 inches, so.. this problem can be turned into simple multiplication..

12 x 5= 60

So, Jim is 60 inches tall.

Hope this helps! :)

Have a nice day!♥

31. A business rents cars for $150 a day and vans for $300 a day. One day it rented a total of 30 vehicles and
made a total $5700. How many cars and vans did the business rent that day?
A 8 cars and 22 vans.
B 10 cars and 20 vans
C 20 cars and 10 vans
D 22 cars and 8 vans

Answers

Answer:

D. 22 Cars and 8 Vans

Step-by-step explanation:

1. You multiply 22 x 150 = 3,300.

2. Then you multiply 300 x 8 = 2,400.

3. Next, add 3,300 + 2,400

4. That equals 5700.

Hopefully, that helps!

Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm

Answers

Answer:

200

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

X= -10
Y=7
Y=1/5X+9
Y=1/5 •(-10)+9
Y= -10/5 + 9
Y= -2+9
7=7

Y= -1/2 • (-10) +2
Y= 10/2 +2
Y=5+2
7=7

Yes

Combine Like Terms 4a + 7a

Answers

4a+7a= 11a
There alike terms

Answer:

[tex]11a[/tex]

Step-by-step explanation:

[tex]4a + 7a = 11a[/tex]

Hope this helps you

Can I have the brainliest please?

Other Questions
I NEED HELP!!!!! IM TIMEDDDD! HELP PLZZZZ!!!! 1 Choose the best revision, if one is needed. Pls help 30 points ASAP Anyone good with spanish want to help? i have lot of work to finish including studying for test and project so I have very limited time. Write short note on any two sources to know history. Can some please help and if you get it right I will mark Brainly!!! The typical firm in a perfectly competitive market earns zero economic profit in the long run because: Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a firms in competitive markets tend to focus on revenue rather than profit. b U.S. law is designed so that taxes on earnings will eliminate profits. c there are no barriers preventing new firms from entering the market in the long run. d it is illegal for firms in a market that is comprised of many firms to continue to earn positive economic profit. hi everyone i got a 16/20 on a final what percent is that im jw Whats the meaning of elimination in English? This sentence contains a shift in person.All of us wanted to follow his own instincts.Which sentence corrects the shift?O All of us wanted to follow our own instincts.O All of us wanted to follow their own instincts.O All of us wanted to follow her own instincts.All of us wanted to follow his or her own instincts. Which of the following words has a prefix? Countless Riskier Semicircle Washable 2/4 of Zaria's hair bows are pink, 1/4 are purple, and the rest are orange. What fraction of Zaria's hair bows are orange? please solve this :) The national weather service reports the daily temperature in degreesFahrenheit. The scientific community reports temperature in degrees Celsius.The formula F = 1.8C + 32 relates Celsius, C, to Fahrenheit F Solve the formulafor C. all the pupils at the knight school Gawaine le Cur-Hardy was among the least promising. He was tall and sturdy, but his instructors soon discovered that he lacked spirit. He would hide in the woods when the jousting class was called, although his companions and members of the faculty sought to appeal to his better nature by shouting to him to come out and break his neck like a man. Even when they told him that the lances were padded, the horses no more than ponies and the field unusually soft for late autumn, Gawaine refused to grow enthusiastic. The Headmaster and the Assistant Professor of Pleasaunce were discussing the case one spring afternoon and the Assistant Professor could see no remedy but expulsion.No, said the Headmaster, as he looked out at the purple hills which ringed the school, I think Ill train him to slay dragons.He might be killed, objected the Assistant Professor.So he might, replied the Headmaster brightly, but he added, more soberly, we must consider the greater good. We are responsible for the formation of this lads character.Are the dragons particularly bad this year? interrupted the Assistant Professor. This was characteristic. He always seemed restive when the head of the school began to talk ethics and the ideals of the institution.Ive never known them worse, replied the Headmaster. Up in the hills to the south last week they killed a number of peasants, two cows and a prize pig. And if this dry spell holds theres no telling when they may start a forest fire simply by breathing around indiscriminately.Would any refund on the tuition fee be necessary in case of an accident to young Cur-Hardy?No, the principal answered, judicially, thats all covered in the contract. But as a matter of fact he wont be killed. Before I send him up in the hills Im going to give him a magic word.Thats a good idea, said the Professor. Sometimes they work wonders.6. What is this passage about?The problems that may arise from fighting dragonsHow the educators would change Gawaines course of studyThe way the Professor and the Headmaster taught about dragonsGiving Gawaine a magic word to help him fight dragons7. What is the best way to describe Gawaines character?Fearless and excitableCareless and frigidSpiritual and carefulCowardly and apathetic8. What is the meaning of his better nature?An increased sense of honestyA mans ignoble ideasA desire for proprietyA mans nobler instincts What is the slope of the line that passes through the points(-16, -5) & (-15, -7) No entiendo para nada How many amendments are included in the Bill of Rights?A.tenB.nineC.elevenD.twelve Show work please ?........... HEY CAN ANYONE PLS ANSWER DIS IN UR OWN WORDS!!!!