In a random sample of 175 community college students, the mean number of hours spent studying per week is 13.7 hours and the standard deviation is 4 hours.

Assuming the distribution of the number of hours community college students study per week is normally distributed, approximately how many of the students in the sample study between 9.7 and 17.7 hours per week?

Answers

Answer 1

Answer:

Approximately there are 119.47 students per week

Step-by-step explanation:

The # of students in the sample study between 9.7 and 17.7 hrs per week;

P (9.7 < x < 17.7) =  P ((9.7 - 13.7)/4 < 7 < (17.7-13.7)/4)

P (-4/4 < 7 < 4/4)

P (-1 < 7 < 1)

0.8413 - 0.1587

0.6827

Therefore the # of student = n P

175 * 0.6827

119.47


Related Questions

What is the answer to 0.2 × 10

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

as the other person said

HELP ME OUT PLEASE

The following table shows the amount of money his friend Car earns for different numbers of hours worked. ​

Answers

Do 45 divided by 3 and you will get the answer.

Evaluate 3x – 6 + 5x - 1 when x =-3

Answers

Answer:

-31

Step-by-step explanation:

1. To evaluate this expression when x = -3, we just have to plug in the x-value and simplify.

[tex]3x - 6 + 5x - 1[/tex] [tex]3(-3)-6+5(-3)-1[/tex] [tex]-9 - 6 - 15 - 1[/tex] [tex]-15 - 15 - 1[/tex] [tex]-30 - 1[/tex] [tex]-31[/tex]

Therefore, the answer is -31.

You just plug in -3 where X is so the answer is -31 :))

5,339x6= What is the estimate

Answers

the answer is 32,000

[tex]5,339 \: \times \: 6=32034 \\ = 32000[/tex]

- BRAINLIEST answerer ❤️

Find the area of the triangle.
6
8

Answers

Answer:

24

Step-by-step explanation:

the area formula for a triangle is

base x high

----------------

   2

so 6x8=48 and divided by 2 is 24

Answer:

24

Step-by-step explanation:

8×6 then Divide by 2........

Please can someone help? As i'm not confident this is right for factorising 4b^2 + 8b + 3 ​

Answers

Answer:

your answer is correct

Step-by-step explanation:

4b² + 8b + 3

Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term.

product = 4 × 3 = 12 and sum = + 8

The factors are 2 and 6

Use these factors to split the b- term

4b² + 2b + 6b + 3 ( factor the first/second and third/fourth terms )

= 2b(2b + 1) + 3(2b + 1) ← factor out (2b + 1) from each term

= (2b + 1)(2b + 3)

divide

-4 2/5 % (-5)

a. -22/55

b.8/25

c.22/55

d.-8/25

Answers

Answer:

c but the real answer is 2/25

Step-by-step explanation:

Jackson has one dollar bills and dimes in his pocket. The number of one dollar bills is nine more than six times the number of dimes. Let d represent the number of dimes. Write an expression for the number of one dollar bills

Answers

Answer:

6d+9 = $

Step-by-step explanation:

help please this is kinda difficult .

Answers

im pretty sure that the slope for both lines would be 2

If max have 600 apples and give sis some how did here

Answers

Answer:

Sorry, but your question doesn't make sense

Step-by-step explanation:

where is the rest of the question/problem

simplify the expression 8xy-(x+2xy)+3x​

Answers

answer is #3: 6xy+2x

Answer:

6xy + 2x

Step-by-step explanation:

Simplify the expression.8xy-(x+2xy)+3x​

16⎯⎯⎯⎯√ – (14 + 2) : 2

Answers

Answer:

Our square root calculator estimates the square root of any positive number you want. Just enter the chosen number and read the results.

Step-by-step explanation:

From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds? pls answer due today.

Answers

you divide 480 by 8.6 i think

can somebody help me with social studies please ????
Somebody please answer
Will get brainlist if you help me

Answers

Sure, drop your question :)

Answer:

what do you mean? what's the question?

If y=cosh(4tanh¯¹x) then dy/dx=​

Answers

If you're like me and don't remember hyperbolic identities (especially involving inverse functions) off the top of your head, recall the definitions of the hyperbolic cosine and sine:

[tex]\cosh(x) = \dfrac{e^x + e^{-x}}2 \\\\ \sinh(x) = \dfrac{e^x - e^{-x}}2[/tex]

Then differentiating yields

[tex]\dfrac{\mathrm d(\cosh(x))}{\mathrm dx} = \dfrac{e^x-e^{-x}}2 = \sinh(x) \\\\ \dfrac{\mathrm d(\sinh(x))}{\mathrm dx} = \dfrac{e^x+e^{-x}}2 = \cosh(x)[/tex]

so that by the chain rule, if

[tex]y = \cosh\left(4\tanh^{-1}(x)\right)[/tex]

then

[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d\left(\cosh\left(4\tanh^{-1}(x)\right)\right)}{\mathrm dx} = \sinh\left(4\tanh^{-1}(x)\right) \dfrac{\mathrm d\left(4\tanh^{-1}(x)\right)}{\mathrm dx}[/tex]

Now, let [tex]z=4\tanh^{-1}(x)[/tex], so that (•) [tex]\tanh\left(\frac z4\right) = x[/tex].

Recall that

[tex]\tanh(x) = \dfrac{\sinh(x)}{\cosh(x)} = \dfrac{e^x-e^{-x}}{e^x+e^{-x}}[/tex]

and so the derivative of tanh(x) is

[tex]\dfrac{\mathrm d(\tanh(x))}{\mathrm dx} = \dfrac{(e^x+e^{-x})(e^x+e^{-x})-(e^x-e^{-x})(e^x-e^{-x})}{(e^x+e^{-x})^2} \\\\ = \dfrac{4\cosh^2(x)-4\sinh^2(x)}{4\cosh^2(x)} \\\\ = 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]

where the last equality follows from the hyperbolic Pythagorean identity,

[tex]\cosh^2(x)-\sinh^2(x) = 1 \implies 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]

Differentiating both sides of (•) implicitly with respect to x gives

[tex]\dfrac{\mathrm d\left(\tanh\left(\frac z4\right)\right)}{\mathrm dx} = \dfrac{\mathrm d(x)}{\mathrm dx} \\\\ \mathrm{sech}^2\left(\dfrac z4\right)\dfrac{\mathrm d\left(\frac z4\right)}{\mathrm dx} = 1 \\\\ \dfrac14 \mathrm{sech}^2\left(\dfrac z4\right) \dfrac{\mathrm dz}{\mathrm dx} = 1 \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\dfrac z4\right) \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\tanh^{-1}(x)\right)[/tex]

So, the derivative we want is the somewhat messy expression

[tex]\boxed{\dfrac{\mathrm dy}{\mathrm dx} = 4\sinh\left(4\tanh^{-1}(x)\right) \cosh^2\left(\tanh^{-1}(x)\right)}[/tex]

and while this could be simplified into a rational expression of x, I would argue for leaving the solution in this form considering how y is given in this form from the start.

In case you are interested, we have

[tex]\cosh\left(\tanh^{-1}(x)\right) = \dfrac1{\sqrt{1-x^2}}[/tex]

and you can instead work on differentiating that; you would end up with

[tex]\dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{16x^3+16x}{(x^2-1)^3}[/tex]

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm

Answers

Answer:

(A) 5cm and 8cm

Step-by-step explanation:

Look to find out the triangle side you here to add and find outnth sum.

The tallest living man at one time had a height of 224 cm. The shortest living man at that time had a height of 97.8 cm. Heights of men at that time had a mean of 174.21 cm and a standard deviation of 5.56 cm. Which of these two men had the height that was more​ extreme?

Answers

Answer:

the shorter man

Step-by-step explanation:

224 cm minus 174.21 = 49.79

49.79/5.56= approximately 9 standard deviations from the mean.

174.21 minus 97.8= 76.41

76.41/5.56= approximately 14 standard deviations from the mean.

bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.

Please help me ASAP!!!!!

Answers

Answer:

c and b

Step-by-step explanation:

behdjdurjnrnrjdjdjdi

c and b look pretty similar

The amount of cleaning solution a company fills its bottles with has a mean of 33fl oz and a standard deviation of 1.5fl oz The company advertises that these bottles have 32fl oz, of cleaning solution.

Answers

Answer:

Mean: 30 mL

Standard Deviation: 45mL

Step-by-step explanation:

See photo please help

Answers

Answer:

2/3 is right one . option no B

Solve the following systems of equations. (a) x+y = 5 x-y = -1

Answers

Answer:

[tex]x + y = 5 ...(1)\\ x - y = - 1 ...(2)\\ add \: (1) + (2) \\ 2x = 4 \\ x = 2 \\ sub \: x = 2 \: in \: (1) \\ 2 + y = 5 \\ y = 3[/tex]

in 2-3 sentences, elaborate on the concept of man being a rational being.

Answers

Answer:

Pls mark brainliest

Step-by-step explanation:

A man is seen to be a rational being because he is very sensible and is capable of making decisons and judgement due to the fact that he thinks intelligiently and also in philosophy a man is viewed to be a curious being because he is very rational and is capable of thinking about the existence and nature.

Determine the equation of the line passing through the point (4,5) ​with the slope equal to 2.

Answers

Answer:

 y=2x-3

Step-by-step explanation:

slope (m)= 2

The Slope intercept of the line passing through (4,5) is

y=mx+b

5 = 2(4) + b

5 = 8 + b

b = -3

The equation of the line passing through pt. (4,5) is  

 y= mx+b

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The depth of water in a water tower that is draining is decreasing at a constant rate of 1.75 feet per hour. If
the depth after 6 hours of draining is 8 feet then write an equation for the water depth, d, as a function of the
amount of time it's been draining, t, in hours.

Answers

Answer:

1.75 * 6 = 10.5 - 8 = 2.5 / 1.75 = 1.43 * 5.5 = about 5hrs and 30mins

Step-by-step explanation:

I’ll give BRAINLIEST pls help

Answers

Answer: EQUATIONS OF HORIZONTAL AND VERTICAL LINES. In general, linear equation is a function whose graph is a straight line and it is typically written as. y = mx + b, where m is the slope and b is the y-intercept. An horizontal lines goes left and right and its equation is in the form of. y = b,

Step-by-step explanation:

What is the slope from a graph:​

Answers

Answer:

Slope is 3/4

Step-by-step explanation:

slope is rise over run or y1-y2/x1-x2

in this case (-1-2)/(-4-0) = -3/-4 = 3/4

Answer:; The piont where the line meets up with the squares coner

12a

A boy is standing on the very edge of a cliff that is 58.8 m high. The boy throws a rock straight up in the air at 7.36 m/s. (a) What is the rock's velocity when it hits the ground? (use up as the positive direction)
How long (from the time it was thrown) will it take for the rock to hit the ground?
What is the total distance traveled by the rock?

Answers

Answer:

The exact same from when it went up

Step-by-step explanation:

it never said the rock was thrown at a angle besides directly up and the boy didn't move so it hit his head

What is 1,432 rounded to the nearest 100?

Answers

1,400 is 1,432 rounded to the nearest 100! :)

Answer:

1400

Step-by-step explanation:

1432 is closer to 1400 than 1500 because it ends in 32 and is below 50 on the number line

Find the value of 72% of 90 kg

Answers

Answer:

64.8 kg kilograms

Step-by-step explanation:

please mark brainiest

hope it works out for you

Answer:

the value of 72% of 90 kg:

72 * 90 / 100 = 64,8 kg

What are the values of x and y?

(9x - 19y)
(5x - 17)
(3x + 3)º
X =

y =

Answers

Answer: x = 10 and y = 3

Step-by-step explanation:

Due to the x rule, (5x - 17) = (3x + 3)

If we add 17 to both sides:

5x = 3x + 20

Take away 3x from both sides

2x = 20

Divide by 2:

X = 10

This means that (5x - 17) = (3x + 3) = 33

Since all angles must add to 360, the top angle = (360- (33*2)) /2

(360-66) /2

294 /2

147

This shows that 9x - 19y = 147

90 - 19y = 147

Minus 90 both sides

19y = 57

Y = 3

So, x = 10 and y = 3

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