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

Peter is calculating the interest earned on a
deposit of $275 in an account that earns 8%
simple interest after 12 years.

Answers

Answer:

a) He substituted 0.8 instead of 0.08.

b) $264

Step-by-step explanation:

The full question is: a. What did Peter do incorrectly? b. What is the correct amount of interest?

Using the equation [tex]I=prt[/tex], we can substitute the given values.I = 275 x 0.08 x 12I = 264

a car dealer so 32 cars their first month The next month they sell 54 cars What is the percentage of change in the number of sold cars​

Answers

Answer:

68.75%

Step-by-step explanation:

First you do 54 - 32 to get 22.

Then you divide 22 by 32 to get the decimal 0.6875

Finally, you multiply 0.6875 by 100 to get 68.75% :D

Answer:

68.73% more cars were sold

Step-by-step explanation:

from 32 cars that represented 100% went to 54 so is a diference of 54-32=22

Now what percentage  of 32 is 22?

32 is 100%

22 is x%

x=(22*100)/32=2200/32=68.73%

Find the median number of flying saucers.

Answers

1, 2, 4, 8, 21, 27

4+8= 12

12÷2= 6

Answer:

6

Complete the statement
Isosceles triangle A ABC has congruent angles at B and C. If BC is bisected at D and AD is drawn, by the side, side, side triangle congruence postulate,
(1 point)
O AADB AADC
O AADBA AABC
Ο ΔΑΒCA ΔΑDC
O AADB ADCA

Answers

Answer:

∆ ADB = ∆ ADC

can someone help me !

Answers

Answer:

45

Step-by-step explanation:

180 - 75 = 105

105 - 15 = 90

45 x 45 = 90

Answer:

75+2x+15=180

2x=90. x=45

how many times does 35 go into 78?​

Answers

Answer:

It goes in 2 times

Step-by-step explanation:

Can i have branliest, so i can go up a rank?

Answer:

35 goes into 78 two whole times but, it goes into it 2.22857143 times, or rounded to 2.23 times. the answer you put down depends on the directions.

At Samantha's Hats, there are 12 baseball caps and 4 other hats. What percentage of the hats are baseball caps?

Answers

75% are baseball caps

Jason claims he has finished reading 25% of his book. If his book has 200 pages, how many pages has he read?

Answers

Answer:

Jason has read 50 pages.

Step-by-step explanation:

25% of 200 = 50

Remember "of" means multiply so you multiply 25% to 200

25% x 200

Convert 25% into a decimal

0.25 x 200 = 50

So Jason has read 50 pages.

I can’t solve or bring myself to understand it :/ I’m having difficulties

Answers

Answer:

x = 50

Step-by-step explanation:

Since the output is 0, x^2 is 2500 but written differently.

Just take the square root of 2500, which is 50.

50^2 = 2500

2500 - 2500 = 0

Can someone help with this I’ll mark u as brainlist

Answers

Answer:i don’t really k ow but i need points to ask questions

Step-by-step explanation:

PLEASE HELP FAST!! WILL MARK AS BRAINLIEST IF GIVEN GOID ANSWER....​

Answers

Answer:

x = 36

y = 37.95

Step-by-step explanation:

By geometric mean property:

[tex] {12}^{2} = 4 \times x \\ \\ 144 = 4 \times x \\ \\ x = \frac{144}{4} \\ \\ x = 36 \\ \\ [/tex]

By Pythagoras Theorem:

[tex] {y}^{2} = {12}^{2} + {x}^{2} \\ \\ {y}^{2} = {12}^{2} + {36}^{2} \\ \\ {y}^{2} = 144 + 1296 \\ \\ {y}^{2} = 1440 \\ \\ y = \sqrt{1440} \\ \\ y = 37.95[/tex]

If 7 pounds cost $5.46, find the cost of 3 pounds. ​

Answers

Answer:

$2.19

Step-by-step explanation:

7 divided by 3 is 2.5

5.46 divided by 2.5 is 2.184

round it and get 2.19

Consider the expression 103 x 0.006. a) What is the exponent in the power of 10? [ Select ] b) How many factors of 10 are in 103? [ Select ] c) How do your answers to the last two questions relate to one another? [ Select ] d) What is the value of 103 x 0.006? [ Select ]

Answers

Solution :

Given that the expression is :

[tex]$10^3 \times 0.006$[/tex]

This can be written as,

[tex]$\Rightarrow 10^3 \times \frac{6}{1000}$[/tex]

[tex]$\Rightarrow 10^3 \times \frac{6}{10^3}$[/tex]

[tex]$\Rightarrow 10^0 \times 6$[/tex]

a). Therefore the exponent in the power of 10

     = 0

b). Factors of 10 in [tex]$10^3$[/tex]

    = 10 x 10 x 10

    = 1000

    = [tex]$10^3$[/tex]

   So there are 3 factors of 10 in [tex]$10^3$[/tex]

c). If we compare the exponent of power of 10 in 1000 and factors of 10 in 1000, then both of them will be same.

  But in part a), we are finding exponent in the power of 10 in the expression  which is equal to 0. And in part b), we are finding the factor of 10 in 1000, which is equal to 3, as 10 x 10 x 10 = 1000.

d). The value of the expression [tex]$10^3 \times 0.006$[/tex] is 6.

explain algebraic equations please

Answers

Answer:

: an equation obtained by equating to zero a sum of a finite number of terms each one of which is a product of positive integral powers (including the zero power) of the variables.

Step-by-step explanation:

includeing zero

add as brainleist plz

Answer:

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

Look at this angle, what are the sides?

Answers

Answer:

Both of the arrowed ones are the sides

Savannah and Reagan both work in a grocery store. They each stocked the same number of shelves last Saturday, but it took Reagan less time. They've been told that they'll spend their entire 4-hour shifts next Saturday stocking shelves. If their average speeds are consistent, who will likely stock more shelves next Saturday?

HELP!

Answers

Answer:

Reagan

Explanation:

Since Reagan is able to stock the same number of shelves as Savannah while spending less time to do so, it means that Reagan is able to stock shelves faster than Savannah, thus Reagan is able to stock more shelves than Savannah given that their average speeds are constant and that they both work under 4-hour shifts.

Hope this helps :)

the green shape is a dilation of the black shape.what is the scale factor of the dilation? ​

Answers

Answer:  5

Step-by-step explanation:

Scale factor = [tex]\dfrac{\text{ side length of image}}{\text{Side-length of original figure}}[/tex]

Given: Black triangle ( original) having perpendicular with length 4 units.  [2 blocks above and 2 boxes below the x-axis ]

Green triangle ( image) having corresponding side as 20 units  [10 blocks above and 10 boxes below the x-axis ].

Scale factor of dilation = [tex]\dfrac{20}{4}=5[/tex]

Hence, the scale factor of the dilation = 5

The perimeter of a rectangular classroom is 52 feet. If the length is 10 more feet than the width, what is the length?

Answers

Answer: 18 by8

Step-by-step explanation:

what is 3/5 divided by 1/2 as a reduced fraction

Answers

6/5 or 1 1/5
Hope this helps

17. Ms Steele is building a circular fountain, on the diagram 2 centimeters is equal to 5 feet. If
the diameter is 12 centimeters. What is the area of the actual fountain? Do you have to
convert first or last

Answers

Answer:

George Washingmachine

Step-by-step explanation:

Answer:

[tex]706.858[/tex] [tex]ft^{2}[/tex] ([tex]3[/tex] d.p)

Step-by-step explanation:

Convert first:

[tex]12 \div 2 = 6[/tex]

[tex]6 \times 5 = 30[/tex] [tex]ft[/tex]

Area of circle = [tex]\pi r^{2}[/tex]

[tex]= \pi (30\times \frac{1}{2})^{2}[/tex]

[tex]= 225\pi[/tex]

[tex]= 706.858[/tex] [tex]ft^{2}[/tex]([tex]3[/tex] d.p)

Hope this helps :)

9. In the diagram below of rectangle RSTU, diagonals RT and SU intersect
at O. If RT = 6x + 4 and SO = 7x - 6, what is the length of US?

Answers

Your Answer should be 16

Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].

What is the diagonal?

A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.

A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.

Here given that,

In the diagram below of rectangle [tex]RSTU[/tex], diagonals [tex]RT[/tex] and [tex]SU[/tex] intersect

at [tex]O[/tex]. If [tex]RT = 6x + 4[/tex] and [tex]SO = 7x - 6[/tex],

[tex]US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12[/tex]

So,

[tex]6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2[/tex]

Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].

To know more about the diagonals

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how to find radius of the base examples​

Answers

Answer:

r=[tex]\frac{c}{2\pi }[/tex]

Step-by-step explanation:

3r²-6-3r=0 i have to use quadratic formula but i dont get how to imput it

Answers

Answer:

r = 2

r = -1

Step-by-step explanation:

So first, we need to get this is order of: ax^2 + bx + c

3r^2 - 6 - 3r

3^2 - 3r - 6

the formula is: -b ± √b^2 -4ac/2a

"ax^2 + bx + c" = "3^2 - 3r - 6"

a = 3

b = -3

c = -6

-b ± √b^2 -4ac/2a

-(-3) ± √(-3)^2 -4(3)(-6)/2(3)

3 ± √9 + (-12)(-6)/6

3 ± √9 + (72)/6

3 ± √9 + 72/6

3 ± √81/6

3 ± 9/6

3 - 9/6

-6/6

-1 = r

3 + 9/6

12/6

2 = r

Formula down below --

                                      |

                                     V

Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design. Which equation can be used to find y, the total cost to buy x shirts?
(I mark Brainlist)

A. y = 9.5x + 22.5
B. y =22.5 + 9.5
C. y = 9.5x - 22.5
D. y = 22.5x - 9.5

Answers

Answer:

C or A

Step-by-step explanation:

I think that it is most likely C but you could try A to

Gina tracks the low temperatures for a city over six days. Identify the days colder than -1.75°F.

Answers

Answer:

Its Monday and Tuesday

Step-by-step explanation:

Answer:

Monday and Tuesday

Step-by-step explanation:

"Days colder than -1.75 F."

Note that in negative numbers the greater negative number contains a lesser value:

Tuesday: -1.9 F < -1.75 F

Monday: -2.5 F < -1.75 F

Find the slope of each line.

Answers

The slope is 4/3.
I hope this helps :)

Examine the diagram. It is not drawn to scale. A triangle has angles 1, 2, 3. The exterior angle to angle 1 is 4, to angle 2 is 5, to angle 3 is 6. In the diagram shown, m∠1 = 30° and m∠5 = 120°. What is the sum of the measures of ∠4, ∠5, and ∠6? degrees Identify the following angle measures. m∠2 = degrees m∠4 = degrees m∠6 = degrees

Answers

Answer:

✔ 360°

Identify the following angle measures.

m∠2 = ✔ 60

m∠4 = ✔ 150

m∠6 = ✔ 90

Step-by-step explanation:

i just finished answering the question

Answer:

C

B

B

C

Step-by-step explanation:

for the lazy ppl

What value(s) of x in the relation below would
create a set of ordered pairs that is not a function?
Justify your answer.
{(0, 5) (1, 5) (2, 6) (x, 7)}

Answers

3 Answers: x = 0, x = 1, or x = 2

==================================================

Explanation:

The relation

{(0, 5) (1, 5) (2, 6) (x, 7)}

has points with x coordinates of: 0, 1, 2, and x.

If we repeated any of the x values listed so far, then we will not have a function.

So if we had the points (0,5) and (0,7), then the input x = 0 leads to multiple outputs. A function is only possible when any input x leads to exactly one output y.

This means that if x = 0, 1, or 2, then we won't have a function.

Side note: The y values can repeat, but if they do, then we won't have a one-to-one function. In this case, y = 5 repeats, so this function is not one-to-one (assuming x is not 0, not 1, and not 2).

what is 7.0893 as a decimal but in word form.​

Answers

Answer:

seven and eight hundred ninety-three ten-thousandths

Step-by-step explanation:

Seven and eight hundred ninety-three ten- thousand or seven point zero eight nine three

Evaluate f(x)=x-5 when x=-5,x=0,and x=5

Answers

Answer:

f(x) = x - 5

f(-5) = -5 - 5

= -10

f(0) = 0 - 5

= -5

f(5) = 5 - 5

= 5

Hope this helps!

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