Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30
pages, what can you conclude?
OA About 60% of the books have fewer than 150 pages.
O B.
About 16% of the books have fewer than 150 pages.
OC.
About 95% of the books have more than 150 pages.
OD. About 16% of the books have more than 150 pages.

The first rational expression simplifies to (m - 1).

The second rational expression simplifies to (m - 2) / m.

The third rational expression simplifies to (m - 2) / (m - 1).

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

(m² - 2m + 1) / (m - 1)

(m² - 2m + 1) / (m - 1)

= (m - 1) / 1

= m - 1

The first rational expression simplifies to (m - 1).

(m² - 3m + 2) / (m² - m)

(m² - 3m + 2)

= (m - 1)(m - 2)

(m² - m)

= m(m - 1)

So,

(m² - 3m + 2) / (m² - m)

= (m - 2) / m

The second rational expression simplifies to (m - 2) / m.

(m² - m - 2) / (m² - 1)

(m² - m - 2)

= (m - 2)(m + 1)

(m² - 1)

= (m - 1)(m + 1)

So,

(m² - m - 2) / (m² - 1)

= (m - 2) / (m - 1)

The third rational expression simplifies to (m - 2) / (m - 1).

Thus,

The first rational expression simplifies to (m - 1).

The second rational expression simplifies to (m - 2) / m.

The third rational expression simplifies to (m - 2) / (m - 1).

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The complete question.

Match each rational expression to its simplest form.

(m² - 2m + 1) / (m - 1)

(m² - 3m + 2) / (m² - m)

(m² - m - 2) / (m² - 1)

Options:

(m - 2) / m

(m - 1)

(m - 2) / (m - 1)

Answer:

B. x-2y=6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because

d-15=38

d-15+15=38+15

d=53

The unit price of each is $4,53

Unit price is the value of each separate item. As per the listing, 7 DVD packs in total are $31,75. So, to know the value of each DVD, let's divide the total value - by the 7 DVDs.

$31,75 ÷ 7 = $4,53

Therefore, the unit value of each DVD is $4,53

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

Trinomial

[tex]\large{\underline{\underline{\pmb{\sf {\color {green}{Explanation:}}}}}}[/tex]

We can see that, in the given expression "x²y + 3x³" and the highest power is "3" so it's is trinomial.

In expression, if we the highest power is "one" then its called "monomial"(one), if the highest power is "2" then "binomial"(two) and lastly if it is "3" then "trinomial"(three).

[tex] \boxed{ \frak \red{brainlysamurai}}[/tex]

The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

From the given table, we see that;

Mean grade of Sidney = 82

Mean grade of Phil = 78.

Mean absolute deviation of Sidney = 3.28

Mean absolute deviation of Phil = 3.96.

The difference between the two means of Sidney and Phil = 82 - 78 = 4.

Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28

Complete Question is;

The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

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Answer:

6.8 miles

Step-by-step explanation:

We can apply the formula :

⇒ Mean distance per diver = Total distance covered / No. of divers

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

Given :

⇒ Number of divers = 28

⇒ Total distance travelled = 190.4 miles

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

Solving :

⇒ Mean distance = 190.4 miles / 28

⇒ Mean distance = 6.8 miles

a.0+3

b.3

c.3-4

d.-1

....................

The matching of each transformed function is as follows;

g(x) = 2f(x) → y-intercept at (0,2)

h(x) = f(x) + 2 → asymptote of y=2

j(x) = f(x + 2) → y-intercept at (0,4)

m(x) = function decreases as x increases

A function is simply defined as a relationship between the inputs and the outputs. Now, we want to map each transformed function.

From the graph of this question as shown in the attached brainly link, the correct matching of each transformation of function f(x) = In x with a feature of the transformed function are as follows;

g(x) = 2f(x) → y-intercept at (0,2)

h(x) = f(x) + 2 → asymptote of y=2

j(x) = f(x + 2) → y-intercept at (0,4)

m(x) = function decreases as x increases

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The value of x is 5. The correct option is the second option-  5

From the question, we are to determine the value of x

By the proportionality theorem, we have that

If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.

Considering the diagram, we can write that

[tex]\frac{12}{28 }= \frac{35-4x}{35}[/tex]

Then, we get

12 × 35 = 28(35-4x)

420 = 980 -112x

112x = 980 - 420

112x = 560

x = 560/ 112

x = 5

Hence, the value of x is 5. The correct option is the second option-  5

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Step-by-step explanation:

[tex]m {}^{2} + 5 \\ = 9 {}^{2} + 5 \: \: \: \: \: \: \\ = 9 \times 9 + 5 \\ = 81 + 5 \: \: \: \: \: \: \: \\ = 86 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

hope it will be helpful

Answer:

86

Step-by-step explanation:

 Plugin the value of m, in the expression

m² + 5 = 9² + 5

           = 81 + 5

            = 86

Another expression for the given rational function is [tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]

Given the rational function expressed as:

x = √rs

We can reconstruct the expression by writing it using exponents as shown;

[tex]x =\sqrt{rs}=(rs)^{\frac{1}{2} }[/tex]

Separate to have:

[tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]

Hence another expression for the given rational function is [tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]

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Answer:

87 in³

Step-by-step explanation:

that is the solution above

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(6,5)\qquad B(6,15)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(6,5)=3(6,15)[/tex]

[tex](\stackrel{x}{12}~~,~~ \stackrel{y}{10})=(\stackrel{x}{18}~~,~~ \stackrel{y}{45})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{12 +18}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +45}}{3+2} \right)} \\\\\\ P=\left( \cfrac{30}{5}~~,~~\cfrac{55}{5} \right)\implies P=(6~~,~~11)[/tex]

Answer:

$2142.86

Step-by-step explanation:

The remaining part of her money, after spending 3/5 of it and depositing 1/8 of it is equal to $750.

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

Retracing the steps :

⇒ She put 1/8 of the remainder in the bank, which gives $750

⇒ R - R/8 = 750

⇒ 7R/8 = 750

⇒ R = 750/7 × 8

⇒ R = 107.142857 × 8

⇒ R = 857.142856

* Don't worry, we'll simplify at the end of the answer *

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

Now, this remainder is what was left after spending 3/5 of it.

⇒ T - 3/5T = 857.142856

⇒ 2/5T = 857.142856

⇒ T = 857.142856/2 × 5

⇒ T = 428.571428 × 5

⇒ T = $2142.86 (nearest cent)

Answer:

I think 10 is the answer it's not sure.

Using similarity principle, the height of the tower in feet is 60 feet.

The height of the tower can be calculated using similarity principle.

Using similarity principle the corresponding sides are a ratio of each other.

Therefore,

let

x = height of tower

24 / x = 10 / 25

cross multiply

10x = 24 × 25

10x = 600

divide both sides by 10

x = 600 / 10

x = 60

Therefore, the height of the tower is 60 feet.

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IT doesn't make any sense

[tex]~~\dfrac{2x^{-3} y^{-2}}{4xy^5}\\\\\\=\dfrac 12\cdot x^{-3-1} \cdot y^{-2-5}~~~~~~~~~~~~~~~~~~~~~~;\left[\dfrac{a^m}{a^n} = a^{m-n}\right]\\\\\\=\dfrac 12\cdot x^{-4} \cdot y^{-7}\\\\\\=\dfrac{1}{2x^4 y^7}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[k^{-n} = \dfrac 1{k^n},~ k\neq 0\right][/tex]

Answer:

V = 150.72 cm³.

Step-by-step explanation:

First, get the volume of a cylinder.

V = πr²h

Where:

π = 3.14 (given)

r = radius (half of diameter, or 2)

h = height (12)

Knowing this, substitute the known values.

V = πr²h

V = (3.14)(2²)(12)

Square 2.

V = (3.14)(4)(12)

Multiply 3.14 and 4.

V = (12.56)(12)
Multiply 12.56 and 12.

V = 150.72.

Since it is already rounded to the nearest hundredth, that is your answer.

Answer:

A person bought three lots for $22,000 net each and divided them into four lots of equal frontage. The lots were then sold for $18,000 each. What was the approximate percentage of gross profit? 9%The initial investment was $66,000 (3 lots at $22,000 each).

Answer:

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

We can use pytho theorem to find X because its a right triangle, so:

a^2 + b^2 = c^2

plug our numbers

1^2 + 1^2 = x^2

simplify

1+1 = x^2

2=x^2

answer = root2

Answer:

f(x) = 3x²-7x-2

answer: (7+- √73)/6

g(x) = -2x² +8

answer:

x = +-2

Step-by-step explanation:

picture is attached

quadratic formula

click on the screenshot

Answer:

short leg : long leg

x : 11 = 3 : x

Step-by-step explanation:

short leg : long leg

x : 11 = 3 : x

[tex]\implies \sf \dfrac{x}{11}=\dfrac{3}{x}[/tex]

[tex]\implies \sf x^2=33[/tex]

[tex]\implies \sf x=\sqrt{33}[/tex]

Answer:

3/x=x/11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution

The distributive property is one of the handiest tools when factoring. You can't use it all the time, but it makes this problem so much easier. Use the distributive property to factor out the 2 from all three terms.

2(x^2 - 4x - 5)

Notice how much easier the problem got. There are only 2 integers that divide into 5. One of them is 5 and the other is one. So the solution is going to look like this

2(x    5) (x    1)

But what do you put in the space? Your choice is between a plus or a minus. Look to the middle term to find out. It is a minus 4. That means that the 5 must be minus because 5 is bigger than 1.

2(x - 5)(x     1 )

So what about the second bracket? It has to be plus. An odd number of minus signs always gives a minus. We used up the one minus we had so the one must have a plus in front of it.

2(x - 5)(x  +   1 )

Answer:

20%

Step-by-step explanation:

Take the amount of rent and put it over the total amount of money to find  the percent

800/4000 =.2

Change to percent form by multiplying by 100

.2 * 100 = 20%

Answer:

~ 6 m

Step-by-step explanation:

For a right triangle

tan = opposite leg / adjacent leg

     = height / width of river

tan 15 = 1.6 / width

width = 1.6 / tan 15 = 5.97 m