During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly Normally distributed with a mean of $131.80 and a standard deviation of $29.12. A travel agent randomly selects prices of nonsmoking rooms with a king-sized bed from 15 hotels in the area. What is the probability that their average cost will be more than $150?
a) 0.0077
b) 0.3678
c) 0.2660
d) 0.1125

Answer:

Given:

Length of the rectangle = [tex]x^3y^4[/tex] inches

Width of the rectangle = [tex]xy^7[/tex] inches

To find:

The ratio of the length of the rectangle to width of the rectangle.

Solution:

We have,

Length = [tex]x^3y^4[/tex] inches

Width = [tex]xy^7[/tex] inches

So, the ratio of the length of the rectangle to width of the rectangle is

[tex]Ratio=\dfrac{Length}{width}[/tex]

[tex]Ratio=\dfrac{x^3y^4}{xy^7}[/tex]

[tex]Ratio=\dfrac{x\times x^2\times y^4}{x\times y^4\times y^3}[/tex]

Cancel out the common factors.

[tex]Ratio=\dfrac{x^2}{y^3}[/tex]

[tex]Ratio=x^2:y^3[/tex]

Therefore, the required ratio is [tex]x^2:y^3[/tex].

Answer: y+1 = 5(x-1)

Step-by-step explanation:

Answer:

c. although the chances of some big gains increase, the chances for some big losses also increase.

Step-by-step explanation:

In the Martin Products, there is a probability that the investment could either succeed or fail. The standard deviation of the outcome carried out to determine the risks involved in investing in his products helps in trying to offer the investors the clearer picture of the risks involved.

Answer:

d. all the reasons above

yes it is, 700 is greater than 10.

Answer:

Shorter piece: 23 inches

Longer piece: 92 inches.

Step-by-step explanation:

Since the longer piece is four times the length of the other, we multiply 23*4 and we get 92 inches.

Answer:

1/4

Step-by-step explanation:

Answer: x = 2a over b + c

Step-by-step explanation:

1. Multiply both sides by two. This cancels out 2 and turns a into 2a. It should look like 2a = bx + cx

2) Since both b and c have x’s, we turn it into (b + c)x

3. Then divide both sides by b+c to get 2a over b + c = x

Answer:

false. slope is calculated by rise over run

Answer:

FALSE

Step-by-step explanation:

Slope is known as the RISE OVER RUN.

Can I get brainliest? Plz!!!

Answer:

lies  you wont give brainliest

Step-by-step explanation:

Answer:

Option (A)

Step-by-step explanation:

Option (A).

Since, perimeter of a square = 4×(side)

Perimeters of 3 squares = 12 ft, 16 ft and 20 ft

Side lengths of three squares will be = [tex]\frac{12}{4}, \frac{16}{4},\frac{20}{4}[/tex]

                                                             = 3 ft, 4 ft and 5 ft

If these sides are the measures of the sides of the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

5² = 4² + 3²

25 = 16 + 9

25 = 25

True.

Therefore, these are the sides of the given right triangle.

Option (B).

Perimeters of three squares are 20 ft, 16 ft and 24 ft.

Sides lengths of three squares = [tex]\frac{20}{4},\frac{16}{4}, \frac{24}{4}[/tex]

                                                    = 5 ft, 4 ft and 6 ft

By Pythagoras theorem,

6² = 4² + 5²

36 = 61

False.

Therefore, these sides are not of the given right triangle.

Option (C)

Perimeters of the squares = 40 ft, 80 ft and 120 ft

Side lengths of the squares = 10 ft, 20 ft and 30 ft

If these sides are the sides of the given right triangle, they will follow the Pythagoras theorem.

By Pythagoras theorem,

(30)² = (10)² + (20)²

900 = 500

False.

Option (D)

Perimeters of the given squares are 16 ft, 24 ft and 28 ft.

Side lengths of these squares will be 4 ft, 6 ft and 7 ft.

If these sides form a right triangle they will follow the Pythagoras theorem.

By Pythagoras theorem,

7² = 4² + 6²

49 = 16 + 36

49 = 52

False.

Therefore, these are not the sides of a right triangle.

Option (A) will be the answer.

Answer:

1/3

Step-by-step explanation:

Rise/run

10/30

I hope this is right and that it helps.

Answer:

The simplest form of the complex fraction [tex]\frac{\frac{8}{9}}{8}[/tex] is  [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

In the complex fractions [tex]\frac{\frac{a}{b}}{c}[/tex] = [tex]\frac{a}{b}[/tex] ÷ c

To simplify it change ÷ to × and reciprocal c

In the complex fractions [tex]\frac{a}{\frac{b}{c}}[/tex] = a ÷ [tex]\frac{b}{c}[/tex]

To simplify it change ÷ to × and reciprocal [tex]\frac{b}{c}[/tex]

Let us solve the question

∵ The complex fraction is [tex]\frac{\frac{8}{9}}{8}[/tex]

∵  [tex]\frac{\frac{8}{9}}{8}[/tex] = [tex]\frac{8}{9}[/tex] ÷ 8

→ Change ÷ to × and reciprocal 8

∴  [tex]\frac{8}{9}[/tex] ÷ 8 =  [tex]\frac{8}{9}[/tex] × [tex]\frac{1}{8}[/tex]

→ Cancel 8 up with 8 down

∴  [tex]\frac{8}{9}[/tex] × [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{9}[/tex]

∴ The simplest form of the complex fraction [tex]\frac{\frac{8}{9}}{8}[/tex] is  [tex]\frac{1}{9}[/tex]

Answer:

1

Step-by-step explanation:

In the fraction 8/9, 8 is the numerator and 9 is the denominator. When you ask "What is 8/9 simplified?", we assume you want to know how to simplify the numerator and denominator to their smallest values, while still keeping the same value of the fraction. We do this by first finding the greatest common factor of 8 and 9, which is 1.

Answer:

yStep-by-step explanation:

Answer:

no because it fails the vertical line test

The correct equations in the question are:

(a) [tex]\dfrac{x}{x^2+x-2}[/tex]   (b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]

Answer:

Step-by-step explanation:

From above:

a) [tex]\dfrac{x}{x^2+x-2}[/tex]  

We are to find the roots of the quadratic equation at the denominator.

i.e.

x²+x-2 =  x² + 2x - x - 2

= x(x+2) - 1(x+2)

= (x -1 ) (x + 2)

Thus;

[tex]\mathbf{\dfrac{x}{x^2+x-2} = \dfrac{A}{x-1} + \dfrac{B}{x+2}}[/tex]

b) [tex]\dfrac{6-x}{x^2-3x-54}[/tex]

The quadratic equation roots can be calculated by finding two numbers that if we multiply then, we will get -54 and if we add or subtract them, we will get -3

x²-3x -54 =  x² - 9x +6x - 54

=  x(x-9) + 6(x-9)

= (x + 6) (x - 9)

[tex]\mathbf{\dfrac{6-x}{x^2-3x-54} = \dfrac{A}{x+6} + \dfrac{B}{x-9}}[/tex]

Answer: 73.5

first you work out the total area of this shape.

area: 105

this mean you can start working out the non-shaded area to do this you need to multiply 7cm with 6cm which is 42cm then you divide by 2 to get 21cm.

then to work ou the other non-shaded area in the left you multiply 3cm and 7cm together getting 21cm you then divide it and you get 10.5.

you then add 10.5cm and 21cm together to get 31.5cm, subtract that answer with the total area which gets the answer 73.5!

Answer:

40% as a decimal is 0.4

40% as a fraction is 2/5

Step-by-step explanation:

Let's go over each of these step by step.

First, let's see 40% as a fraction.

Since 40% is out of 100%, we can rewrite that as 40/100.

If you want to simplify it, let's do the following.

40/100

Divide both sides by 20, and you'll end up with:

2/5.

Now, let's do 40% as a decimal.

This is pretty simple.

40% is 40/100 as said before, and to find it as a decimal,

let's divide 40 and 100.

40 divided by 20 = 0.4

Therefore, we can conclude the following:

40% as a fraction is 40/100, or 2/5.

40% as a decimal is 0.4

Hope this helped! :)

Answer:

(6,0)

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Answer:

1.5 i think

Step-by-step explanation:

1/4:2/8 so it would be 1/4 and 1/8 or 1.5

Answer:

first you do the mutpiton in the first perentes then you do addition

Step-by-step explanation:

Answer:

Is it 11.6%?

Step-by-step explanation:

I divided 290/250

Answer:5h

Step-by-step explanation: i just did the quiz

Answer:

-m+3

Step-by-step explanation:

4 - 3m - 1 + 2m

4-1-m

-m+3

Answer:

17.5

Step-by-step explanation:

[tex]1.75 \div 0.1 = 17.5[/tex]

Answer:

Volume: x^6

Area: 6x^4

Step-by-step explanation:

volume: length x width x height

area: 6 sides of x^4 so 6x^4