Erin has four shirts (whites, blue, red, black) and two pairs of pants (black, blue). She randomly chooses a shirt and a pair of pants. what is the probability that they are the same color?

Answer:

[tex]\boxed{\sf x = 11.57}[/tex]

Step-by-step explanation:

[tex] \sf {x}^{2} = {3.6}^{2} + {11}^{2} [/tex]

Calculate 3.6 to the power of 2 to get 12.96, and 11 to the power of 2 which will give you 121.

[tex] \sf {x}^{2} = 12.96 + 121[/tex]

Add 12.96 and 121.

[tex]\sf {x}^{2} = 133.96[/tex]

Now, we'll take the square root of both sides of the equation.

[tex] \sf \sqrt{ {x}^{2} } = \sqrt{133.96} [/tex]

[tex]\sf x = 11.57[/tex]

Answer:

going from left to right

1. 1/2

2. 3/4

3. 1 1/4

4. 1 1/2

5. 1 3/4

6. 2 1/2

7. 2 3/4

8. 3 1/2

9. 3 3/4

since 1/2 is > 1/4

and 3/4 is > 1/2

whenever you have a number in front of a fraction, it goes between the number it is (say 3) and the number after (4)

hope this helps:)

The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

y represents the number of miles a motor car has left to go in the race

x represents the number of laps completed by the motor car

The total number of miles if we consider only circular speedways = 2.5x

The total number of miles:

y = 2.5x + 500  (because 500 is the constant)

Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.

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Answer:

z = 70 (Since it is a straight angle)

y = 110 (y = 180 - z)

The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes

The y-intercept is the coordinate point where x = 0. For the log function;

f(x) = log(x - 5)

If y = 0

0 = log(x-5)

x - 5 = 10^0
x - 5 = 1

x = 6

Hence the x-intercept is at (6, 0)

The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes

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[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=27\\ V=225\pi \end{cases}\implies 225\pi =\pi r^2(27)\implies \cfrac{225\pi }{27\pi }=r^2 \\\\\\ \cfrac{25}{3}=r^2\implies \sqrt{\cfrac{25}{3}}=r\implies \cfrac{\sqrt{25}}{\sqrt{3}}=r\implies \cfrac{5}{\sqrt{3}}=r\implies 2.89\approx r[/tex]

Answer:

(c) x = 15.26

Step-by-step explanation:

a² + b² = c²

8² + 13² = c²

64 + 169 = c²

c² = 233

c = 233 ½

c = 15.26

[tex]\left(3^3 - 6 \cdot 8 \right) \div 7\\\\\\= \dfrac{27-48}{7}\\\\\\=-\dfrac{21}7\\\\\\=-3\\[/tex]

Answer:

-3

Step-by-step explanation:

Using PEMDAS :

Exponent (in Parentheses)

Multiplication (in Parentheses)

Subtraction (In Parentheses)

Division

Step-by-step explanation:

simply do the calculations :

|12 × (16 - 63)|

|12 × - 47|

|-564| = 564

that's it.

remember, the absolute value is always the positive value of a number.

|-x| = x

and also

|x| = x

Answer: It should be 4 11/15 gallons.

Step-by-step explanation:

I multiplied both of the amounts.

Answer:

3k+1

Step-by-step explanation:

Answer:

The correct answer is 3k + 1

Step-by-step explanation:

Hope this helps:) Goodluck!

Answer: 4

Step-by-step explanation:

If there are 13 girls in a class of 23, we can assume there are 10 boys. If 4 girls play chess and there are 10 pupils who play chess, we can guess that the remaining 6 are boys. If there are 10 boys, and 6 of them play chess, there are 4 who do not.

Answer:

A) 315/1005

Explanation:

Total choices: 120 + 255 + 35 + 60 + 200 + 110 + 75 + 150 = 1005

Favorable choices: 255 + 60 = 315

probability:

favorable choices/total choices

315/1005

21/67

Answer:

Pr(Cb) & Pr(cost $15) = 15(Ncb)/(T1×T3)

Step-by-step explanation:

Classification of the book in to 3

First let's assign terms to each probability

Let:

T1= total number of type of Reader's group

T2 = total number of Type of book

T3 = total number of type of Cost

Probability of child's book and cost $15= Pr(Cb) & Pr(cost $15)

Then find probability of child's book and cost separately:

Pr of child's book = Pr(Cb)

Pr(Cb) = (number of child's book)/ total number of type of group

Ncb = number of child's book

Pr(Cb) = Ncb/T1

Pr (cost $15) = $15 book/total number of cost

Pr (cost $15) = 15/T3

probability of child's book and cost $15 = Pr(Cb) × Pr (cost $15)

= Ncb/T1 × 15/T3

Pr(Cb) & Pr(cost $15) = 15(Ncb)/(T1×T3)

Equation: y = 4.04·0.56^x

Solution: Here in the exponential model, the height is 4.04 feet when the bounce number is 0. It represents the initial height. (original, starting value)

Solution: 0.56 represents the represents the growth rate of how much the height will decrease with the amount of bounces. (growth factor)

x represents the unit of measure of bounces.

General equation

#1

Here

#2

Answer:

7.81

Step-by-step explanation:

I attached a drawing explaining how to use the Pythagorean theorem to solve this problem. Let me know if you have any questions!

Answer:

It is 15 m long.

Step-by-step explanation:

Given

width (b) = 20 m

Area of the floor (A) = 300 m^2

Length (L) = ?

we know

A = L * b

300 = L * 20

L = 15 m

Hope it will help :)

Answer:

f(x)=2x-3, substitute the expression for g(x) in f(x)

f(x) = 2(x^2 + 1) - 3

f(x) = 2x^2 + 2 - 3

f(x) = 2x^2 - 1

Answer:

32ft

Step-by-step explanation:

Let me know if you have any questions ! (or my sketch is different)

everything was rounded to the nearest foot and due to this the new area is 49.5...

Answer:

$10.862005 million

Step-by-step explanation:

150,000*1.036331 monthly

12*10=120

$150,000*1.036331 ^120=$10.862005 million

seams very unrealistic lol

Answer:$10.862005 million

Step-by-step explanation:

150,000*1.036331 monthly

12*10=120

$150,000*1.036331 ^120=$10.862005 million

Answer:

464 units²

Explanation:

Part A

Length × Width = 8 × 16 = 128 units²

Part B

Length × Width = 24 × 8 = 192 units²

Part C

Length × Width = 12 × 4 = 48 units²

Part D

Length × Width = 24 × 4 = 96 units²

Total Area: 128 + 192 + 48 + 96 = 464 units²

Answer:

464 units²

Step-by-step explanation:

The quickest way to determine the area of the figure is to calculate the area of the total rectangle, then subtract the missing parts.

(see attached diagram)

Total area of the rectangle = width × length

                                             = 24 × (16 + 4 + 4)

                                             = 24 × 24     ← the shape is actually a square!

                                             = 576 units²

Missing Area 1

Top left square = 8 × 8

                         = 64 units²

Missing Area 2

Bottom right rectangle = 4 × 12

                                      = 48 units²

Total area = area of rectangle - missing area 1 - missing area 2

                 = 576 - 64 - 48

                 = 512 - 48

                 = 464 units²

Answer:The third option is correct

Step-by-step explanation:

Answer:

(y³ - 2) (x² - 2).

Step-by-step explanation:

x²y³ - 2y³ - 2x² + 4

= y³ (x² - 2) - 2(x² - 2)

(x² - 2) is common to both parts so we have:

(y³ - 2) (x² - 2)

Answer:

(-3, -2)

Explanation:

Coordinates are represented in the form of (x, y)

To know the x coordinates see the value on the x-axis.

To know the y coordinates see the value on the y-axis.

From there we can identify:

A = (x, y) = (-4, 4)

B = (x, y) = (2, 2)

C = (x, y) = (0, -5)

D = (x, y) = (-3, -2) ← Required answer.

Step-by-step explanation:

all parallelograms have opposite sides that are parallel.

that is the only true statement.

Answer:  1 1/8 or 9/8

Step-by-step explanation:

5 1/2-4 3/8= 1/ 1/8

The probability of the spinner not occurring A will be 8/9. Then the correct option is A.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I.

Then the probability of not occurring A will be

The total event will be

Total events = 9 {A, B, C, D, E, F, G, H, I}

The favorable event will be

Favorable events = 8 {B, C, D, E, F, G, H, I}

Then the probability will be

P = 8/9

More about the probability link is given below.

https://brainly.com/question/795909

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Answer: a) the answer is engineering

Step-by-step explanation:

because since it is a circle, it's out of 360 degrees, and 1/4 means first you divide 360 with 4, and you get 90. So, i checked which department is exactly 90 degrees and saw that engineering is 90 degrees

Answer:

2 to the power of three × 3 × 5

Step-by-step explanation:

Researching the average earnings by major and by career can help you determine the return on investment of an institute of higher education.

To learn more about return on investment, refer to

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