Students at a liberal arts college study for an average of 10 hours per week with a standard deviation of 2 hours per week. The distribution of their study time happens to be uni-modal, symmetric and bell shaped. Approximately 68% of students study between 8 and B hours a week. What is the value of B

Answers

Answer 1

Answer:

it lies between 8 hours and 12 hours in a week  

Step-by-step explanation:

Since in the question it is mentioned that the distribution consist of uni-modal, symmetric and bell shaped so here the empirical formual to be used for the mean and the standard deviation

Also the 68% would be fall within one standard deviation above and below the mean

Now

1 standard deviation below the mean is

[tex]= \mu - \sigma[/tex]

= 10 - 2

= 8 hours

And, above the mean is

[tex]= \mu + \sigma[/tex]

= 10 + 2

= 12 hours

Hence, it lies between 8 hours and 12 hours in a week  


Related Questions

help on picture 15 points

Answers

Answer:

2/3

Step-by-step explanation:

pls help Eithan needs to divide theese base ten blocks (9 ten blocks and 6 one blocks)



HOW MANY WOULD BE IN EACH GROUP?

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Answer:

carrot

Step-by-step explanation:

give me brainlyist i never got it pls bt i have snap if you want im a girl

I need help for this

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Answer:

not sure

Step-by-step explanation:

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[tex]a = \frac{cde}{b} \\ [/tex]

[tex]c = \frac{ab}{de} \\ [/tex]

[tex] \frac{ab}{e} = cd \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Which linear inequality is represented by the graph?
PLEAe help

Answers

Answer:

The answer to your problem is the last option

whats5666778877 x 81 + 1

Answers

Answer: 459009089038

Step-by-step explanation: I smart for a 3yrs old kid. And I don't even need a diAper but my 17 yrs old sister does so she weirdo...      

HEY, I also have good news. I JUST GOT POTY TRANED!! YA Boi.

Which of the following points are on the line 2x + 3y = 15?
a. (3, 3)
b. (9, -1)
c. (2.5, 3.5)
d. (-10.5, 12)

Answers

Answer:

A and B

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

I made a graph using “D e s m o s”

You can go on there too

Basically anything on the line would be the answer.

.............helppppppppppppppppppp

Answers

Answer:

what????????????????

Answer: I think its A

Step-by-step explanation: I think its A because it depends if its night for the light to flash on the window.

Sally is selling strawberries at the farmer’s market. She sells 5 boxes in the morning, and then sells half of the remaining boxes of strawberries by the end of the day. If Sally ended up with 9 boxes of strawberries left at the end of the day, how many boxes did she start with

Answers

Answer:

23 boxes

Step-by-step explanation:

x=5+9*2

Answer:

23

Step-by-step explanation:

I did this backwards.

Since we know that Sally ended up with 9 boxes of strawberries, and sold half of the remaining strawberries, she must've had 18 boxes. Adding the 5 boxes from the beginning gets us 18+5=23

You also could've wrote an equation.

x=boxes of strawberries

x the total amount of boxes in the beginning of the day

x-5 the 5 boxes she sold

(x-5)/2 half of the remaining boxes sold

(x-5)/2=9 the amount left

MMM HEY PLEASE HELP. IM LITERALLY ABOUT TO END MYSELF.

Answers

Answer:

(5, - 2)

Step-by-step explanation:

(5, - 2)

Sydney has $150 in her bank account. She buys a bike for $200. What is Sydney´s account balance now?

Answers

-50 because 150 minus 200 is negative 5

Explain how to find the slope of the line. And explain answer

Answers

Answer:

by using the slope incercept form: y=mx+b

this one is m=7/3 (m is the letter we use for the word slope btw) :)

Step-by-step explanation:

The weights, in pounds, of the cats in an animal adoption center are normally distributed. If a random sample of cats is taken and the confidence interval is (7.9,12.7), what is the margin of error?
Give a numerical response for your answer. For example, if you found that the margin of error was 2, you would enter 2.

Answers

Answer:

2.4

Step-by-step explanation:

Given that :

The confidence interval = ( 7.9 , 12.7 )

The Margin of error M.O.E = Interval width/2

where;

The interval width = UCL - LCL

The interval width = 12.7 - 7.9

The interval width = 4.8

The Margin of error M.O.E = 4.8/2

The Margin of error M.O.E = 2.4

Is is 24, 15, 23 or 33

Answers

Answer:

33

Step-by-step explanation:

A weather service records 28.8 inches of rain over a 12 month period. What is the average rainfall per month for the year?
A:
A)
17 inches
B)
2.4 inches
o
2.9 inches
D)
3.1 inches

Answers

Answer:

B) 2.4 inches

Step-by-step explanation:

The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in one month you need to divide the total by the amount of months. 28.8/12 = 2.4

What is the value of z in the equation 5(2z+4)

Answers

Answer: z = -2

Step-by-step explanation:

5(2z + 4) = 0

10z + 20 = 0    [distributive property]

10z = -20   [carry over the 20]

z = -2    [divide]

10z+20 is the answer

what is the difference of 1/5 - 3/4

Answers

Answer:

1/5 and 3/4 difference is —

-11/20

ratio of 5 to 2 total number of servers and cooks is 42 how many servers​

Answers

Answer:

30

Step-by-step explanation:

5 x 6 = 30

2 x 6 = 12

30+12 = 42

please help me :((((

Answers

1. x + 49 = -3x + 1
4x = -48
x = -12

2. 7x + 23 + 4x + 25 = 180
11x + 48 = 180
11x = 132
x = 12

HELP ME ANSWER THIS PLEASEEE!!

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Apply the fraction rule,

Divide the Numbers,

Factor the Number, then cancel the common factor!

How do you multiple 14.5×6.5×6.5?

Answers

multiple 14.6 x 6.5 then multiply the answer to that by 6.5

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{How\ do\ you\ multiply\ 14.5\times6.5\times6.5?}[/tex]

[tex]\bullet\ \textsf{First you have to line up your decimals (If its easier for you break down the equation)}[/tex]

[tex]\mathsf{14.5\times6.5\times6.5}\\\mathsf{14.5\times6.5=\underline{94.25}}\\\mathsf{94.25\times6.5=\underline{612.625}}\\\\\boxed{\boxed{\mathsf{Thus, your\ answer\ is: \boxed{\boxed{\huge\text{\bf{612.625}}}}}}}\checkmark[/tex]

[tex]\mathsf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $435, what is the company's expectation? (Round your answer to the nearest dollar.)

Answers

Answer:

The value is  [tex]E(X) = \$ 421.6[/tex]

Step-by-step explanation:

From the question we are told that

The probability that a 22 year  old  female in US will die within one year is    p= 0.00044

The outcome if she dies within one year is that the company losses $30,000

Generally the probability that  a 22 year  old  female in US will live more than one year is

           [tex]q = 1 -p[/tex]

=>        [tex]q = 1 -0.00044[/tex]

=>        [tex]q = 0.99956[/tex]

The outcome if she lives more than one year is that the company gains $435

Generally the  the company's expectation is mathematically represented as

           [tex]E(X) = -30000 * p + 435 * q[/tex]

The negative sign shows that the company is loosing the fund

So  

       [tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]

=>    [tex]E(X) = \$ 421.6[/tex]

division time :)
and i'm stuck with this.

Answers

Answer:

Step-by-step explanation:

I think the quotent is 5, but I recommend waiting for sumone else to answer. Because 31.5 divided by 1.4 equals 22.5 but I'm not sure.

22.5

31
-28
———
35
-28
____
70
- 70
——-
00

Jack's Missing Eye
Enter the coordinates of the Jack-o'-Lantern's missing
eye.
desmos

Answers

Answer:

X. Y

                -1

2

-1

5

6

1

Step-by-step explanation:

What is the percent?

32/80 = %/100​

Answers

Answer: 40% OUT OF 100

Find the other endpoint of the line segment with the given
endpoint and midpoint: Midpoint = (8,-2) and Endpoint= (3,10).

Answers

Answer:The other endpoint is at  ( − 4 , 3 )

Explanation:

The line segment passing through  ( − 4 , 9 )  and  ( − 4 , 6 )

is a vertical line with the midpoint  3

units below the first point.

The other endpoint must be  3

further units below the midpoint i.e. at  ( − 4 , ( 6 − 3 )

Step-by-step explanation:

Find the equation of the tangent line. y=(x^2+x-2)^2 at (-1,4)​

Answers

Compute the derivative of y = (x² + x - 2)² using the chain rule:

dy/dx = 2 (x² + x - 2) d/dx [x² + x - 2]

dy/dx = 2 (x² + x - 2) (2x + 1)

Evaluate the derivative at x = -1 :

dy/dx (-1) = 2 ((-1)² + (-1) - 2) (2 (-1) + 1) = 4

This is the slope of the tangent line to the function at (-1, 4).

Use the point-slope formula to get the equation for the tangent line:

y - 4 = 4 (x - (-1))   →   y = 4x + 8

For a science project, Daniel planted 51 flower seeds. Of those seeds, 12 did not grow at all. Of the seeds that did grow, 2/3 of them grew green tomatoes. How many green tomatoes grew?
a) 12
b) 8
c) 26
d) 13​

Answers

Answer:

C. 26

Step-by-step explanation:

According to the question,

Daniel planted 51 seeds.

12 seeds did not grow at all,

Therefore, the number of seeds that grew are 51-12= 39

Then, from the 39 seeds that grew, 2/3 of them are green tomatoes.

So, to find out how many green tomatoes grew, we solve

2/3 * 39= 26.

Therefore, the amount of green tomatoes are 26.

The distance traveled, D in feet, is a function of time, t, in seconds, with
D=f(t)= t 3 +1
​Find f(10), f'(10), and the relative rate of change f'/f at t=10. Interpret your answers in terms of distance travele

Answers

Answer:

1001 m/s

300 [tex]m/s^2[/tex]

0.299.

Step-by-step explanation:

Given that:

[tex]D=f(t)=t^3+1[/tex]

[tex]f(10)[/tex] means putting the value of [tex]t=10[/tex] in [tex]f(t)[/tex].

[tex]f(10) = 10^3+1=1001[/tex] [tex]m/s[/tex]

To find [tex]f'(10)[/tex], we need to find [tex]f'(t)[/tex] first.

Differentiating the equation of Distance [tex]D[/tex] w.r.to [tex]t[/tex]:

[tex]f'(t) = \dfrac{d}{dt}(t^3+1)= 3t^{3-1}+1 = 3t^2[/tex]

[tex]f'(10) = 3(10)^2=300[/tex] [tex]m/s^2[/tex]

Relative rate of change:

[tex]\dfrac{f'}{f}\ at\ t = 10 \Rightarrow \dfrac{300}{1001} \approx 0.299[/tex]

Each day at the bakery, Jack bakes cakes and helps out at the counter.
What does the y-intercept of a trend line for this data represent?
Group of answer choices

total time spent baking cakes

average number of cakes per hour Jack can bake

average time it takes to bake one cake

average number of hours Jack works each day

Answers

Answer: i might be wrong but i think it would be 261. sorry if i made a mistake

These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

Answers

9514 1404 393

Answer:

a = 6b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

  smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

__

Side A in the smaller triangle is ...

  A/15 = 4/10

  A = (4/10)(15) = 6

__

The ratio of larger to smaller is the inverse of the above ratio, so ...

  B/9 = 10/4

  B = (10/4)(9) = 22.5

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