P(A) = 8/15

P(B) = 6/15

P(A ∩ B) = 1/5

Find P(A U B)

4/15

11/15

1/15

2/15

Answer:

The equation is 2/25(x + 2)^2 + 5.

Step-by-step explanation:

WE can write the vertex form as

y = a(x - b)^2 + c     where a is some constant and (b, c) are the coordinates of the vertex.

So here we have:

y = a(x + 2)^2 + 5

As (3, 7) is a point oin the curve:

7 = a(3 + 2)^2 + 5

7 = 25a + 5

a = 2/25.

Answer:

a b c d e f g h i j k l m n o p q r s t u v w x y z

Step-by-step explanation:

yoooooooooooooooooooooooooooo

Answer:

Step-by-step explanation:

16 cm / 10 days = 1.6 cm/day

10 days / 16 cm = 0.625 days/cm

Answer: 54 words does Rachel type per minute

Step-by-step explanation:

Rachel types 162 words in 3 minutes Rachel types at a constant rate.

We have to find how many words does Rachel type per minute.

By definition of unit rate: all we do is divide 162 by 3 which gives us 54

Answer:

54 words per minute

Step-by-step explanation:

In 3 minutes Rachel types 162 words

Then

In 1 minutes,Rachel types 162÷3 words

In 1 minutes Rachel types 54 words

.

. . Rachel types 54 words per minute

Answer:

Step-by-step explanation:

Add 116 to 123 and then subtract it by the larger number and 323

Answer:

it is 19000 hope this helps!

Answer:

19,000

Step-by-step explanation:

Basically add 2 zeros to 190

Hope this helps!

Answer:

1.54

Step-by-step explanation:

The probability that one of each color is selected is [tex]\frac{10x - x^2}{45}[/tex]

The probability of an event is the chances of the said event

The given parameters are:

The probability that one of each color is selected is calculated as follows:

[tex]P = P(Blue) \times P(Red) + P(Red) \times P(Blue)[/tex]

So, we have:

[tex]P = \frac{10 - x}{10} \times \frac{x}{9} + \frac{x}{10} \times \frac{10 - x}{9}[/tex]

This gives

[tex]P = \frac{x(10 - x)}{90} +\frac{x(10 - x)}{90}[/tex]

Take LCM

[tex]P = \frac{2x(10 - x)}{90}[/tex]

Simplify the above expression

[tex]P = \frac{x(10 - x)}{45}[/tex]

Expand

[tex]P = \frac{10x - x^2}{45}[/tex]

Hence, the probability that one of each color is selected is [tex]P = \frac{10x - x^2}{45}[/tex]

Read more about probabilities at:

https://brainly.com/question/7965468

Answer:

Step-by-step explanation:

The volume of Prism A is ...

  V = LWH

  V = (8 ft)(4 ft)(5 f) = 160 ft³

Any set of dimensions that have a product of 160 ft³ will give a prism with the same volume. You could have, for example, ...

  length = 20 ft

  width = 20 ft

  height = 0.4 ft

Step-by-step explanation:

We know that

Volume of prism = lwh

=> 8 × 4 × 5

=> 32 × 5

=> 160 ft³

So,

The possible length, height and width could be

Length = 10 ft

Breadth = 8 ft

Height = 2 ft

Answer:

It is the first one.

Answer:(-4,3)

Step-by-step explanation:

Here, Every equation has same slope (-4) and same y-intercept (3), so we don't need to calculate those.

Now, as coordinates are in left-portion, and also touches the line, it would be: y ≥ -4x + 3

Answer:

See images.

Step-by-step explanation:

For these kinds of problems, get a common denominator. Put everything over that common denominator and add or subtract the terms in the numerator. Combine like terms. See images.

Answer:

Here are the answers.

Step-by-step explanation:

Answer:

green bay packers all dayyy

Step-by-step explanation:

[tex] \huge \green{ \boxed{ANSWER}}[/tex]

[tex]10 \: + \: 9 \: = {\boxed{19}}[/tex]

USE CALCULATOR -_-

[tex] \mathfrak{JazmineChoi}[/tex]

STAN TREASURE

Answer:

19

Step-by-step explanation: 10 +9 = 19

Answer:

I'm confused about your question can you explain?

Answer:

C. 3

y = 3x - 4

Step-by-step explanation:

y = 3x - 2

Slope stays 3 because they are parallel.

y - 5 = 3(x - 3)

y - 5 = 3x - 9

y - 5 + 5 = 3x - 9 + 5

y = 3x - 4

Step-by-step explanation:

y= 3x-4

hopefully that is helpful

Answer:

34-13.95 = 20.05

Step-by-step explanation:

Answer:

20.05

Step-by-step explanation:

34 - 13.95 = 20.05

Answer:

A

Step-by-step explanation:

Since the shaded region on the right is greater than or equal to 3, and the shaded region on the left is less than -4 (since numbers decrease as the arrow moves towards the left on the number line).

Answer:

an alternative hypothesis is an angle that is alternate to each other

We know that the triangle is an isosceles triangle because the base angles are the same.

Therefore, the answer is 'x = 2'

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

x=-10, y=-9. (-10, -9).

Step-by-step explanation:

-2x+2y=2

-x+3y=-17

----------------

-2x+2y=2

-2(-x+3y)=-2(-17)

-------------------------

-2x+2y=2

2x-6y=34

----------------

-4y=36

y=36/-4

y=-9

-x+3(-9)=-17

-x-27=-17

-x=-17+27

-x=10

x=-10

Answer:I believe the answer is e

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The answer is A because first:

1. we are looking for y so B and D are off the table

2. It goes from least to greatest so C is also gone

3. You are left with A

Answer:

A

Step-by-step explanation:

The range is the y value.

In this table the y value is pay per month.

Answer:

I am going to guess that shape you are trying to find is an triangle

30˚

Step-by-step explanation:

A triangle angle is 180˚

So add 121 and 29

Which is 150

180 - 150 which is 30

So the missing angle is 30˚

Hope this helps!

Work Shown:

sin(angle) = opposite/hypotenuse

sin(B) = AC/AB

sin(B) = 2/3

B = arcsin(2/3)

B = 41.8103 approximately

B = 41.81

Note: The arcsine function is the same as the inverse sine function, and that's denoted as [tex]\sin^{-1}[/tex] on many graphing calculators. Your calculator needs to be in degree mode.

Answer:

Step-by-step explanation:

the associative property means that when you are adding OR multiplying you can group the numbers however you want

Jacob is wrong because (12 + 31) x 5 = 215 and 12 + 31 x 5 = 167

[tex]15^{5} \div 15 ^{7} [/tex]

[tex]15 ^{ 5 - 7} [/tex]

[tex]15 ^{ - 2} [/tex]

[tex] \tt \: alternate \: from : \\ \frac{1}{15 ^{2} } [/tex]