WILL GIVE BRAINLIEST Chapter 12 Probability Review
1. (a) You draw a marble from a bag with one orange marble, three purple marbles, and two
yellow marbles. Then you roll a die. Draw a tree diagram of the sample space.
REMEMBER:
2. (a) You randomly select
two cards from a
standard 52 card deck.
What is the probability
that both cards are a
heart if you replace the
(b) You randomly select two
marbles from a bag of 3 green, 2
red, and 5 blue marbles. What is
the probability that both
marbles are blue if you do not
replace the marble each time?
If independent:
P(A and B) = P(A) P(B)

Answer:

If the bisector of AB is at origin (0,0) and A is at (4,0)

we can say that the mid-point of the line AB is at (0,0)

Hence, the point B will be 4 units on the other side of the origin

Therefore, the co-ordinates of B are: (-4,0)

Since the line AB is 4 units to the left and 4 units to the right of the origin,

the length of line-segment AB is 4 + 4 = 8 units

Answer:

15,900

Step-by-step explanation:

An equation is a way of writing two expressions connected by an equal sign.

If the total cost of leasing a car in m month is given by an equation:

c = 450m + 1500

The total cost in dollars, of leasing a car for 32 months is $15,900.

An equation is a way of writing two expressions connected by an equal sign.

Example:

2x = 3x + 5 is an equation.

We have,

The cost of leasing a new car per month = $450

Down payment = $1500

The total cost of the lease is given as:

c = 450m + 1500

m = number of months.

The total cost of the car for leasing in 32 months:

c = 450 x 32 + 1500

c = 14,400 + 1500

c = 15,900

Thus,

The total cost in dollars, of leasing a car for 32 months is $15,900.

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Answer:

∠1 → 108

∠2 → 72

Step-by-step explanation:

Supplementary angles add up to a total of 180° (two angles is a pair). So:

∠1+∠2=180°

∠1 → supplement

∠2 → 36 less than the supplement

Create an equation, using x as angle 1 and y as angle 2:

[tex]x+y=180[/tex]

Insert the given values:

[tex]x+(x-36)=180[/tex]

Solve for the value of x. Simplify parentheses:

[tex]x+x-36=180[/tex]

Simplify addition:

[tex]2x-36=180[/tex]

Add 36 to both sides:

[tex]2x-36+36=180+36\\\\2x=216[/tex]

Isolate the variable. Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{216}{2}\\\\ x=108[/tex]

The value of x is 108. Insert this into the equation above:

[tex]x+y=180\\\\108+y=180[/tex]

Solve for y. Subtract 108 from both sides:

[tex]108-108+y=180-108\\\\y=72[/tex]

The value of y is 72.

Therefore:

∠1 → 108

∠2 → 72

:Done

*Check:

Insert the values into an equation set to 180 to determine if true:

[tex]108+72=180\\\\180=180[/tex]

Subtract 108 by 72 to see if the difference is 36:

[tex]108-72=36\\36=36[/tex]

The given values are true.

Supplementary angles add up to [tex]180^o[/tex]

The angles are 72 and 108

Let the angles be x and y.

Such that:

[tex]y = x - 36[/tex]

So, we have:

[tex]x + y = 180[/tex] --- sum of supplementary angles

Substitute [tex]y = x - 36[/tex]

[tex]x + x - 36 = 180[/tex]

[tex]2x - 36 = 180[/tex]

Collect like terms

[tex]2x = 36 + 180[/tex]

[tex]2x = 216[/tex]

Divide by 2

[tex]x = 108[/tex]

Recall that:

[tex]y = x - 36[/tex]

[tex]y = 108 - 36[/tex]

[tex]y = 72[/tex]

Hence, the angles are 72 and 108

See attachment for the illustration of the angles

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Answer:

18 cups.

Step-by-step explanation:

Multiply 4.5 by 4.

Step-by-step explanation:

let three no. be x, y, z

y=3x+4

z=2x-6

x+3x+4+2x-6=106

6x=108

x=18

Three numbers are 18, 3 (18)+4, 2 (18)-6

=18,58,30

Answer: rational

Step-by-step explanation:because a fraction is a rational number

9/15 is a rational number.

A rational number is a number of form p/q where q is not zero and p and q are integers.

Clearly, from the definition, we can observe that 9/15 has a non-zero integer denominator and the numerator is also an integer which leads to the conclusion that 9/15 is a rational number.

Hence, 9/15 is a rational number.

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Answer: B) plane FDE

              C) points D, A, and E

              D) [tex]\overline{FA}[/tex]

              E) [tex]\overrightarrow{AE}[/tex]

Step-by-step explanation:

B) A plane is identified by 3 points where at least one of them is not on the same line as the other two.

C) Collinear means "same line".

D) A segment is represented by a bar over the letters of the two points.

E) Ray AD has a starting point at A and passes through D. The opposite ray will start at point A and go in the opposite direction.

Question:

Is that 6x square?

Answer:

-6:No

-2:No

7:No

8:No

The only number to make this equation true is 1

Step-by-step explanation:

I will substitute each value in place of the variable. Hopefully you understand PEMDAS

3(-6)+5=8

-18+5=8

-13=8

-13 does not equal 8 so false.

3(-2)+5=8

-6+5=8

-1=8

-1 doe not equal 8 so false

3(7)+5=8

21+5=8

26=8

26 does not equal 8 so false

3(8)+5=8

24+5=8

29=8

29 does not equal 8 so false

Let's see what would make this true:

3x+5=8

3x=3

×=1

The solution is: :

-6:No

-2:No

7:No

8:No

The only number to make this equation true is 1

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

We will substitute each value in place of the variable.

we know PEMDAS

3(-6)+5=8

-18+5=8

-13=8

-13 does not equal 8 so false.

3(-2)+5=8

-6+5=8

-1=8

-1 doe not equal 8 so false

3(7)+5=8

21+5=8

26=8

26 does not equal 8 so false

3(8)+5=8

24+5=8

29=8

29 does not equal 8 so false

Let's see what would make this true:

3x+5=8

3x=3

x=1

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Answer:

the answer is 30 because if x = 3 they you would do 8x3 and get 24 then add the 6 to get 30

Step-by-step explanation:

Plz give brainly

Answer:

if x is three then 8x is 8×3 which is 24 then plus 6 is equal to 30

Answer:

It has a zero in it so it should be identity property.

Step-by-step explanation: anything with 0 is im pretty sure the Identity problem.

The two numbers are [tex]-2[/tex] and [tex]-14[/tex].

It is given that,

Explanation:

Let [tex]x[/tex] be the one number. Then the second number is [tex]7x[/tex].

Sum of two numbers is negative sixteen.

[tex]x+7x=-16[/tex]

[tex]8x=-16[/tex]

[tex]x=\dfrac{-16}{8}[/tex]

[tex]x=-2[/tex]

The value of other number is:

[tex]7(-2)=-14[/tex]

Thus, the two numbers are [tex]-2[/tex] and [tex]-14[/tex].

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Answer:

The answer would be -4

Answer:

The Answer is 14.49

Step-by-step explanation:

Because you have the use paper or calculator(if affordable) then there will be more numbers but i wanted to make it to a short version

Answer:

14.49

Step-by-step explanation:

plzzz brainliest

Answer:

the answer is b. 4+y

Step-by-step explanation:

all the other options are just expressing 4 in different ways

Answer:

B

Step-by-step explanation:

Answer:

2.34 grams

Step-by-step explanation:

In this problem, we need to find how many grams in 2.34mL. To solve the problem, we must know the relationship between grams and millilitre.

We know that,

1 milliitre = 1 gram

Hence,

2.34 mL = 2.34 grams.

Answer:

G(-3, 6)

Step-by-step explanation:

[tex]midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Substitute the coordinates of M and D into the formula:

[tex]( - 1,5) = ( \frac{x1 + 1}{2} , \frac{y1 + 4}{2} ) \\- 1=\frac{x1 + 1}{2}& ,&5&= \frac{y1 + 4}{2} & \\ - 1(2)= x1 + 1&, & 5(2) &= y1 + 4 &\\ - 2= x1 + 1&, &10 &= y1 + 4 &\\ x1= - 2 - 1&,& y1 &= 10 - 4 &\\ x1= - 3&, &y1& =6 \: \: \: \: \: \: \: \: \: \: &[/tex]

Thus, the coordinates of G is (-3,6).

Answer:

Step-by-step explanation:

The value of square root 86 is between 9 and 9.5

Answer:

(x²+3x-88) square units

Step-by-step explanation:

Area of a rectangle = Length × Width

Given

length of a rectangle is (x-8)units

Its width is (x+11) units.

Required

Expression for the area of the rectangle

Substituting the given function into the formula.

Area of the rectangle = (x-8)(x+11)

Area of the rectangle = x(x)+11x-8x-88

Area of the rectangle = x²+3x-88

Hence the expression that represents the area of the rectangle is x²+3x-88 units²

Answer:

x² + 3x - 88

Step-by-step explanation:

Answer:

The probability of getting defective product from warehouse C is 0.3448

Step-by-step explanation:

Missing question "Assume that Ware houses A, B and C ship 30%, 20% and 50% of the dot-com's sales respectively.

P(A) = Probability of product that comes from warehouse A

P(B) = Probability of product that comes from warehouse B

P(C) = Probability of product that comes from warehouse C

P(A) =  30% = 0.30, P(B) =  20% = 0.20, P(C) =  50% = 0.50

Let D denotes the number of defective products

P(D|A) = 3% = 0.03

P(D|B) = 5% = 0.05

P(D|C) = 2% = 0.02

The probability of getting defective product from warehouse C is as below using the Bayes Rule

P(C|D) = P(D|C) P(C) / P(D|A)P(A) + P(D|B)P(B) + P(D|C)P(C)

P(C|D) = 0.02 * 0.50 / (0.03*0.30) + (0.05*0.20) + (0.02*0.50)

P(C|D) = 0.01 / 0.009 + 0.01 + 0.01

P(C|D) = 0.01 / 0.029

P(C|D) = 0.3448

Therefore the probability of getting defective product from warehouse C is  0.3448.

Answer:

Step-by-step explanation:

5 divided by 1525 = 0.0032786885245902

1525  divided by 5 = 305

Hope this helps! :)

Answer:

360 ft

Step-by-step explanation:

Answer:

[tex]1024cm^2[/tex]

Step-by-step explanation:

Area = Length [tex]\times[/tex] Length

Area = [tex]32cm\times32cm=1024cm^2[/tex]

Answer:

92/1125

Step-by-step explanation:

Answer:

I'm pretty sure its 28?

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

16/8 means 2.

And 2 is multiplied by 16.

which means 32.

Answer:

N=10

Step-by-step explanation:

-2n=-n+8

subtract 8 on both sides

-10/-n= -n/-n

the variables cancel out and you divide -10 with -1 because your variable is always 1 giving you the answer

n=10

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{n = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{n - 2 = - n + 8}[/tex]

Move n to left hand side and change it's sign

Similarly, move 2 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{n + n = 8 + 2}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{2n = 8 + 2}}[/tex]

Add the numbers: 8 and 2

[tex] \longrightarrow{ \sf{2n = 10}}[/tex]

Divide both sides by 2

[tex] \longrightarrow{ \sf{ \frac{2n}{2} = \frac{10}{2}}} [/tex]

Calculate

[tex] \longrightarrow{ \sf{n = 5}}[/tex]

Hope I helped!

Best regards! :D

Answer:

10 months

$500

Step-by-step explanation:

Option 1

Option 2

Both options reveal same amount:

Cost of notebook: