Suppose A and B are mutually exclusive events, and that P(B)=0.24 and P(A OR B)=0.27. Find P(A).

Answer:

P = 12 + 5x

Step-by-step explanation:

P = a + b + c

P = 7 + (x + 4) + (4x + 1)

  = 7 + x + 4 + 4x + 1

  = 12 + 5x

Answer:

x=120 y=60

Step-by-step explanation:

Interior angle of a hexagon = 120

Straight line = 180

180-120=60

Answer:

Option D

Step-by-step explanation:

It is a right triangle because AB ⊥ BC

Answer:

78 buttons left

Step-by-step explanation:

I multiplied 24 children by 3 buttons because each child took 3 buttons and I got 72 buttons taken.

Then I subtracted 150 buttons which is the starting number by 72 buttons (the amount taken by the child's) to get 78 buttons left in the box. ( I just separated negative 72 buttons into -50 and -22 to make it easier)

Answer:

90 clockwise

Step-by-step explanation:

Answer:

270 degrees

Step-by-step explanation:

If both numbers are negative it means its in the lower left quadrant, so to reach 7 and -3, that means we need to reach the lower right quadrant so a 270 degree turn works

Answer:

$199.89

Step-by-step explanation:

The bike costs 266.52

The parents are contributing one fourth of this (1/4)

We need to find 1/4th of 266.52

Divide 266.52 by 4 to find out how much Justin's parents are contributing to the bike

The answer is 66.63

Now subtract 66.63 from 266.52

Justin has to pay a total of 199.89

Answer:

12

Step-by-step explanation:

Hi there!

We are given the following equation:

1/2x + 6 = -x-3

And we want to find the value of -2x

First, let's solve for x, and then substitute the number found as x into -2x to find the value of -2x

Start by adding x to both sides to remove -x from the right side

1/2x + 6 = -x -3

+x            +x

_______________

3/2x+6=-3

Subtract 6 from both sides to remove it from the left side

3/2x=-9

Multiply both sides by 2/3 in order to clear the fraction

x=-6

Now substitute -6 as x into -2x

-2x

x=-6

-2(-6)=12

Hope this helps!

The way you typed out this sentence was a bit confusing but I think you were saying...

For a weekly car rental, a car rental company charges customers a flat fee of $100 +  and charges 10 cents for every mile traveled. write an equation for the amount of a weekly rental car that travels 15 miles (Please let me know if I am wrong)

The equation would be

10+10 +10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10 = 150 cents

so they would be charging $1.50

Hoped this helped!

Have a great day/night! :)

Answer:

5

Step-by-step explanation:

set up point slope form

y + 8 = 2(x-1)

set y to zero

0+8=2(x-1)

8=2x-2

10= 2x

x = 5

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Scientific notation for above value is ~

[tex]Hello[/tex] [tex]There![/tex]

First, let's make sure our coefficient is between 1 and 10:

4.75

All numbers in scientific notation look like this:

___x10^- (some number)

4.75x10^

Now, the number is large, so the exponent is positive.

So we move the decimal place some number of units. We move the decimal place 10 units, so the exponent is 10:

4.75x10^10

Hope this helps!

~Just a felicitous girlie

#CarryOnLearning

[tex]SilentNature[/tex]

The answer to your question is in the image above.

Answer:

y = x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = [tex]\frac{1-0}{1-0}[/tex] = [tex]\frac{1}{1}[/tex] = 1 , then

y = x ← equation of line

Answer:

The total compound interest is $37,147.24.

Step-by-step explanation:

I could be wrong

Step-by-step explanation:

Louis is comparing the populations of several nearby cities. The population of Liberty Crossing can be written as 49 people, and the population of Harrisburg can be written as 47 people. The population of Glenview is 43 times the population of Harrisburg. Drag the cities to put them in order from least population (top) to greatest population (bottom).

The order of the cities from least population to greatest population:

Harrisburg

Glenview

Liberty Crossing

Given the information provided:

Harrisburg: This city has a population of 47 people. It's the smallest population among the three cities.

Glenview: The population of Glenview is 43 times the population of Harrisburg.

Since Harrisburg has 47 people, the population of Glenview would be 43 x 47 = 2021 people.

So, Glenview has a larger population than Harrisburg but is still smaller than Liberty Crossing.

Liberty Crossing: The population of Liberty Crossing is given as 49 people, which is the largest population among the three cities.

So, the correct order from least population to greatest population is:

Harrisburg

Glenview

Liberty Crossing

Learn more about Ascending order click;

https://brainly.com/question/31946606

#SPJ3

Answer:

True

Step-by-step explanation:

The person's immune system specifically targets beta cells disrupting the production of insulin.

Answer

x Is less than 4

Step-by-step explanation:

It will be an open circle and the arrow is going the left direction on the number 4

Answer:

(1/2, 1/4)

Step-by-step explanation:

This is gonna be long. The x coordinate of a parabola's vertex = -b/2a. Now we have to find the equation of the parabola. Using the given points and plugging them into y=ax^2 + bx + c, we can determine:

0 = c

0 = a + b

-20 = 25a + 5b

After rearranging and solving, we get:

b = -a

-20 = 20a

a = -1

b = 1

y = -x^2 + x

Now we can find the x coordinate of the vertex, which is 1/2. After plugging this into our parabola, we get a y coordinate of -1/4 + 1/2 = 1/4. Therefore, the vertex is located at (1/2, 1/4).

Answer:

A) - 3/7

B) -1/5

C) - 0.4

Step-by-step explanation:

HOPE IT CAN HELP YOU LOVELOTS

Answer:

0.573

Hope that helps :)

Answer:

that have no answer so sorry

Answer:

Step-by-step explanation:

1 yd(36 in/yd)(2.54 cm/in) / (100cm/m) = 0.9144 m

(4(0.9144)) x (3(0.9144)) = 10.03352832 = 10.03 m²

Answer:

0.24 liters per serving (240 ml)

Step-by-step explanation:

[tex]1.92/8=0.24[/tex]

equivalent to 240 mililiters

Hope this helps

Answer:

point B (8, 6)

Step-by-step explanation:

Given the linear graph of a vertical line, x = 8:

The solution to the given linear equation is any ordered pair that is found along the line of the graph.

Out of the given options, point B, (8, 6) is located on the line. Therefore, it is one of the solutions to the linear equation, x = 8.

Answer:

x=-16

y=-11

Explanation:

2x-4y=12

x-3y=17

first multiply all the numbers of the bottom equation by -2

2x-4y=12

-2x+6y=-34

then cancel the x's, and add the other numbers

2y=-22

solve for y

y=-11

plug y into either the original top or bottom equations

2x-4(-11)=12

2x+44=12

2x=-32

x=-16

or

x-3(-11)=17

x+33=17

x=-16

Answer:

32

Step-by-step explanation:

First, draw some line for about 4 lines in the double number line.

Now in the bottom, it counts by 15 according to the word problem.

And in the top, count by 8.

Now finally, if you reach 60, write your final number. 32.

woohoo you did it lol