A book publisher counted the words on each page of a series of books. They found that the number of words per page followed a normal distribution with a mean of 265 words and a standard deviation of 25 words.

What percentage of the pages contain fewer than 215 words?

Answers

Answer 1

Answer:

The answer is 2.5%

Step-by-step explanation:

Took test on edmentum and made 100%.

Answer 2

2.2% percentage of the pages contain fewer than 215 words.

What is a normal distribution?

The normal distribution is defined as a probability distribution that is symmetric about the mean, indicating that data close to the mean are more systematic in occurrence than data distant from the mean. In pictorial form.

The number of words per page in the book is normally distributed, Normal distribution is given as,
[tex]z = \frac{x-\mu}{\sigma}[/tex]

Where, x = number of words per page., µ = mean, σ = standard deviation
From given, µ = 265 words , σ = 25 words

Probability for the number of pages in the book is less than 265 words,

P( x < 215)
For,  x = 25,
z = (215-265)/25 = -2

From the normal distribution table, the probability of the z score is 0.022


The percent of pages in the book that are less than 215 words in length is 0.022 × 100 = 2.2%.

Thus, 2.2% percentage of the pages contain fewer than 215 words.

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Related Questions

Kevin can do 20 sit-ups in 1 minute.
How many sit-ups can he do in 12 minutes?

Answers

240 push ups
I hope that helps

Pls help me ASAP I have other homework to do and I don’t have time for this. It also detects if it’s right or wrong:(

Answers

Answer:

y = 25x + 50

Step-by-step explanation:

Which theorem(s) can you use to prove that the two triangles are congruent?

Answers

Answer:

To prove the congruence between two triangles there are several postulates, that can be applied depending on the congruent parts of the triangles.

The postulates are:

SAS (Side-Angle-Side): This postulate states that if two triangles have two corresponding sides congruent and one corresponding angle congruent, we can conclude that those triangles are completely congruent.

ASA (Angle-Side-Angle): This postulate states that if two triangles have two corresponding angles congruent and one corresponding side congruent, then those triangles are congruent.

SSS (Side-Side-Side): This postulate states that if two triangles have all three corresponding sides congruent, then triangles are congruent.

AAS (Angle-Angle-Side): If two pairs of corresponding angles are congruent and one pair of corresponding sides is congruent, then both triangle are congruent each other.

HL (Hypothenuse-Leg): this postulate is applied when we have right angles. It states that two right triangles are congruent if they have one pair of corresponding leg congruent, and the hypothenuses are also congruent. We could conclude that those right triangles are congruent.

From these postulate, we can demonstrate the congruence between two triangles. Then, from that congruence, we deduct the congruence between each corresponding parts of those triangles. For example, if we demonstrate the congruence by AAS, we deduct that the third angle is also congruent, and the other two sides are also congruent.

Ben can type 2/5 of a page of an essay in 1/2 minute. How much time would
take him to type one full page of the essay?

Answers

Answer:

ok so first i want to figure out what 2/5 converted to percent is......

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

so this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so lets see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time does it take to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

So if we add all these numbers up it equals 1:15 minutes to write an essay

I hope this helps and please mark brainliest if i got it right!

The time taken by Ben to write a full page will be 1:15 minutes.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

So this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so let's see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time it takes to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

Therefore, the time takes Ben to write a full page will be 1:15 minutes.

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What is the equation of the line that passes through the points (0,0) and (-4,-5)

Answers

Answer:

y = -4/5x

Step-by-step explanation:

it crosses the y line at 0 so you leave the y-intercept out of the equation

Solve the following equation: 3x + 6 = 9​

Answers

Answer:

Step-by-step explanation:

3x+6=9

3x=9-6

3x=2

x=1.5

Answer:

x=1

Step-by-step explanation:

Subtract 6 from both sides of the equation, leaving 3x=3.

We put both sides over 3 to divide.

We are left with x=3

To test this, we substitute x with 1.

3(1)+6=9

3+6=9

9=9

Factor completely 5b^2-11b+6

Answers

Answer:

(b - 1) (5b - 6)

Step-by-step explanation:

What is 1/2 times 14x

Answers

Answer:

7x

Step-by-step explanation:

This quantity is the same as obtained when dividing 14x by 2:  7x

Is it scaling isosceles or equilateral and what is the answer

Answers

Answer:

[tex]scalene[/tex]

Step-by-step explanation:

[tex]\textsf{Sum of internal angles;}[/tex]

  [tex]71+50+6x-1=180[/tex]

 [tex]6x-1=180-71-50[/tex]

  [tex]6x-1=59[/tex]

the answer is scalene. please mark me brainliest^^^!

probability someone help?

Answers

Answer:

40%

Step-by-step explanation:

You paid $80 for a coat. It had been discounted 25%. What was the original price of the coat?

Answers

Answer:

85.6

Step-by-step explanation:

80/75=1.07

1.07*80=85.6

Home Depot sells 400 stoves every day. Home Depot sells 125 more microwaves per day than stoves. Which equation can be used to find x, the total number of stoves and microwaves Home Depot sells in one day?

Answers

Answer:

400

Step-by-step explanation:

Math question can you please help and can you breakdown how you got your answer

Answers

Answer:

8

Step-by-step explanation:

AB=DC

BC=AD

BA=CD

CB=DA

could somebody help

Answers

Answer:

112

Step-by-step explanation:

[tex]12 + (( {5}^{2} ) \times 4) \\ 12 + (25 \times 4) \\ 12 + 100 \\ = 112[/tex]

please mark as brainliest

60 POINTS
Does the following table show a proportional relationship between the variables g and h?

Answers

Answer:

Where is the table?

Step-by-step explanation:

Where be it

−8x+6−2=−12
what is x?

Answers

Answer: x=2

Step-by-step explanation:

have a good day! :)

plz give me brainliest

Answer:

(f+g)(x) = f(x) +g(x)

= (7x^3 −2x−12) +(−3x^3 -8x^2 +10x)

= x^3(7 -3) +x^2(-8) +x(-2+10) +(-12)

= 4x^3 -8x^2 +8x -12

Corresponds to selection C.

Step-by-step explanation:

What is the solution to the inequality
-−
5
(
2
x

4
)
+
8
>
4
+
4
(
x
+
6
)

Answers

Answer:

x>20/3

Step-by-step explanation:

Help pls

Which point on the number line represents the rational
number-2 3/5?
23 ?

A
B
C
D

Answers

Answer:

c

Step-by-step explanation:

C is 3/5 of the way down on section -2

Answer:

Its A

Step-by-step explanation:

I just answered on edge

3v - 10 = -14 what is the answer

Answers

Answer:

v= -3/4

Step-by-step explanation:

i think that's the answer djxndnxnnx

Answer:

3v=-14 +10

3v=-4

v= - 4/3

Please mark as brainliest

The data in the table are linear. Use the table to find the slope.
2
4
6
8
1
-2.
-5
-8
a.
b.
3
2
3
2
او را
d. 2
3​

Answers

Answer:

[tex]m = -\frac{3}{2}[/tex]

Step-by-step explanation:

Given

x 2 4 6 8

y 1 -2 -5 -8

Required

Determine the slope

First, pick any two corresponding x and y values.

[tex](x_1,y_1) =(2,1)[/tex]

[tex](x_2,y_2) =(8,-8)\\[/tex]

The slope (m) is then calculated using:

[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]

Substitute in, the x and y values

[tex]m = \frac{1 - (-8)}{2- 8}[/tex]

[tex]m = \frac{1 +8}{-6}[/tex]

[tex]m = \frac{9}{-6}[/tex]

[tex]m = -\frac{9}{6}[/tex]

Divide numerator and denominator by 3

[tex]m = -\frac{9/3}{6/3}[/tex]

[tex]m = -\frac{3}{2}[/tex]

Hence, the slope is -3/2

Answer:

Is -3/2.

Step-by-step explanation:

I just took the test!

Which ordered pair is a solution of the inequality y < 3x + 1?

A. (−3, −2)
B. (3, 14)
C. (1, −3)
D. (1, 6)

Answers

Answer:

The answer is C. (1,-3)

Step-by-step explanation:

This is your perfect answer

options and question below

Answers

Answer:

252 (sorry if im wrong)

Step-by-step explanation:

Answer:

the answer is than u loser for the points :)))) childish kid

Step-by-step explanation:

So if 15 + 5 is 20 and 30 + 30 is 60 then what is 9 + 12 x 15 plus if red is blue are purple then what is 2 + 5 = ? (Red = 1 (Orange = 2 (Yellow = 3 (Green = 4 (Blue = 5 (Purple = 6 (Pink = 7 (Black = 8 (White = 9

Answers

Answer:

Step-by-step explanation:

Given that:

If  15 + 5 is 20 and 30 + 30 = 60

Then what is  9 + 12 x 15

This is a simple Arithmetic calculation which can be determined by using BODMAS ( Bracket of Division Multiplication Addition and subtraction)

= 9 + 12 × 15

The first step is to multiply 12 by 15

= 9 + 180

The add both values together

= 189

However, if (Red = 1 (Orange = 2 (Yellow = 3 (Green = 4 (Blue = 5 (Purple = 6 (Pink = 7 (Black = 8 (White = 9

And we are given an example which says:

red + blue = purple

i.e.

1 + 5 = 6 which is true

Then; to determine, 2 + 5 = ?

SO,

2 + 5 = 7

i.e.

Orange + Blue = Pink

1. Four family members attended a
family reunion. The table below
shows the distance each person
drove and the amount of time each
person traveled.
Fathly Reunion Travel
Name Distance
176 miles
Laura 150 miles
Nathan 1125 miles
Raquel 286 miles
Travel Time
3 hours 12 minutes
2 hours 30 minutes
2 hours 15 minutes
hours 24 minutes
of each person drove ar a constant
Fate, we drove the fastest (in miles
per hour
Hank
CNR
D Raquel

Answers

Answer:

i think it is the first answer

Step-by-step explanation:

PLEASE HELP ME ASAP!!

Answers

Answer:

8. 5/6

9. 6.25, 6 and 1/4

10. 14.4

Step-by-step explanation:

Sorry that this is a little late. All of these problems end up with the same process to get to the answer. Since you want to find the rate, you would want to divide the amount of time taken by itself to find the unit rate. So basically, 8. would be 20 cm in 24 hours. You would divide both by 24 and you get 20/24 cm in 1 hour. and then you simplify the fraction and boom, there's your answer.

Given the initial inequality 24, identify which
operation preserves the
inequality symbol and which operation reverses the
inequality symbol.Write the
new inequality after the operation is performed.
Multiply both sides by-2.

Answers

Answer:

it doesn't show what your talking about be more specific.

Step-by-step explanation:                                                                                               explain what your talking about.

There are 2 questions PLease help need it quickley will give brainiest

Answers

Answer:

This is the answer

Answer:

did the math person above is right sorry for being late :)

Step-by-step explanation:

A landscaping company placed two orders with a nursery. First order was 5 bushes and 8 trees,and totaled $374.The second order was for 9 bushes and 2 trees, and totaled $202.The bills do not lost pre-item price.What were the costs of one bush and of one tree?

Answers

Answer:For one bush it would be $185 and for one tree it would be $189.

Step-by-step explanation:185 + 189 = 374

14 ft
48 ft
What is the length of the hypotenuse?

Answers

Answer:

50ft

Step-by-step explanation:

use the Pythagorean theorem 14 squared + 48 squared equals 2500 square root of 2500 equals c squared the square root of 2500 is 50

Answer:

50

the Pythagorean theorem states that the hypotenuse of a triangle squared is equal to the sums of the other 2 sides squared.

it can be expressed as so:

c^2=a^2+b^2

therefore

c^2=14^2+48^2

C^2= 196+2304

c^2=2500

square root of 2500 is 50

50=the hypotenuse.

Step-by-step explanation:

CALCULATE PR :)
Merry Xmas btw

Answers

Answer:

PR = 7.9

Step-by-step explanation:

By sine rule:

[tex] \frac{12.5}{ \sin \: 66 \degree} = \frac{PR}{ \sin \: 37 \degree} \\ \\ \frac{12.5}{ 0.9135454576} = \frac{PR}{ 0.6018150232} \\ \\ PR = \frac{12 \times 0.6018150232}{0.9135454576} \\ \\ PR = \frac{12 \times 0.6018150232}{0.9135454576} \\ \\PR = \frac{7.22178028}{0.9135454576} \\ \\ PR = 7.90522269 \\ \\ PR \approx \: 7.9[/tex]

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