Question 6 of 25
Today Charlie put a ring on layaway by making a down payment of $85 and
agreeing to pay $18 per month, starting next month, for 21 months. When will
Charlie receive the ring?
O A. In 21 months
O B. In 1 month
O C. Today
OD. In 18 months

Answer:

The answer is below

Step-by-step explanation:

Let B₁ represent box 1, B₂ represent box 2, E₁ represent the event of selecting box 1, E₂ represent the event of selecting box 2 and R represent the event of selecting a red ball.

Given that:

Probability of selecting box 2 P(E₂) = 2/3, Probability of selecting box 1 = P(E₁) = 1/3

Probability of selecting red ball from box 1 = P(R | E₁) = 4/6 [4 red balls out of 4 red, 2 green]

Probability of selecting red ball from box 2 = P(R | E₂) = 2/6 [2 red balls out of 2 red, 4 green]

a)

Given the ball is red, the probability it was selected from the first box is:

[tex]P(E_1|R)=\frac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)} =\frac{2/3*1/3}{(2/3*1/3)+(1/3*2/3))} =\frac{1}{2}[/tex]

b)

Given the ball is red, the probability it was selected from the second box is:

[tex]P(E_2|R)=\frac{P(R|E_2)P(E_1)}{P(R|E_2)P(E_2)+P(R|E_1)P(E_1)} =\frac{1/3*2/3}{(1/3*2/3)+(2/3*1/3))} =\frac{1}{2}[/tex]

c)

We can see that both probabilities are equal. Although we have more red balls in box 1 (twice as much) than in box 2 but the probability of selecting from box 2 (is twice as much) than from selecting from box 1.

The probability that the ball selected is red and it is selected from the first box is 1/2 and the probability that the ball selected is red and it is selected from the second box is 1/2.

Given :

a) The probability that the ball selected is red and it is selected from the first box is:

[tex]P(E_1|R)=\dfrac{P(R|E_1)P(E_1)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]

[tex]P(E_1|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]

[tex]P(E_1|R)=\dfrac{1}{2}[/tex]

b) The probability that the ball selected is red and it is selected from the second box is:

[tex]P(E_2|R)=\dfrac{P(R|E_2)P(E_2)}{P(R|E_1)P(E_1)+P(R|E_2)P(E_2)}[/tex]

[tex]P(E_2|R)=\dfrac{\dfrac{2}{3}\times \dfrac{1}{3}}{\dfrac{2}{3}\times \dfrac{1}{3}+\dfrac{1}{3}\times \dfrac{2}{3}}[/tex]

[tex]P(E_2|R)=\dfrac{1}{2}[/tex]

c) The probability that the ball selected is red and it is selected from the first box and the probability that the ball selected is red and it is selected from the second box is the same.

For more information, refer to the link given below:

https://brainly.com/question/795909

Answer:

^2 + 2x-15

Hope this helps

Answer: x=5

x= 2

Step-by-step explanation:

Answer:

Looks like all of your questions have been answered.

There are 5 numbers that can be used.

The first digit can be 1 of 5

The second digit can be 1 of 4

The third digit is 1 of 3

The fourth digit is 1 of 2

The fifth digit is 1 of 1

Total digits that can be created = 5 x 4 x 3 x 2 x1 = 120

Answer:

76

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

A=3

B=3

C=2.5

D=5

E=1

F=2

G=4

Here you go! Happy to help!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Where's the line?

Step-by-step explanation:

I just got it on a pex. JK=RS. KL=ST. K=S. those are the answers

The congruences that are true by CPCTC are:

∠L = ∠R

KL ≅ ST

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

If ΔJKL = ΔRST, then the corresponding parts of the triangles are congruent.

CPCTC stands for "corresponding parts of congruent triangles are congruent,"

So we can use this property to determine which congruences are true.

∠L = ∠R:

This is true by CPCTC because they are corresponding angles in congruent triangles.

JK ≅ RS:

This is not true by CPCTC because they are not corresponding sides in congruent triangles.

KL ≅ ST:

This is true by CPCTC because they are corresponding sides in congruent triangles.

JL ≅ RS:

This is not true by CPCTC because they are not corresponding sides in congruent triangles.

∠L = ∠S:

This is not necessarily true just by the fact that ΔJKL = ΔRST.

It could be true in some cases, but it is not guaranteed by CPCTC.

Therefore,

The congruences that are true by CPCTC are:

∠L = ∠R

KL ≅ ST

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ7

Answers

Step-by-step explanation:

Answer:

The slope is 0

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-8,0)[/tex]

[tex](x_2,y_2) = (4,0)[/tex]

Required

The slope (m)

This is calculated as"

[tex]m=\frac{y_2-y_1}{x_2 - x_1}[/tex]

[tex]m=\frac{0-0}{4 -(-8)}[/tex]

[tex]m=0[/tex]

The slope is 0

Answer:

Step-by-step explanation:

Let tacos be x and burritos be y

So, Avery purchased 4x+2y = 21

Sasha purchased 4x+3y = 26.5

Solving the 2 eqns:

4x+2y=21

-4x-3y=-26.5

-y=-5.5

The cost of one burrito is $5.5

Given:

A straight line goes through (-2,1), (0,0), and (2,-1).

To find:

The slope of the given line.

Solution:

Slope formula

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Consider any two points from the given points.

The line goes through (-2,1) and (0,0). So, the slope of the line is

[tex]m=\dfrac{0-1}{0-(-2)}[/tex]

[tex]m=\dfrac{-1}{2}[/tex]

Therefore, the slope of the line is [tex]m=-\dfrac{1}{2}[/tex].

Answer:

its 2/3

Step-by-step explanation:

Answer: 3. 22-8 / 4. 2x3.5 / 5.

Step-by-step explanation:

Step-by-step explanation:

1. 1×8=8

2. 9×2=18

3. 8+14=22÷2=11

4. 2.7

5. -1.5

6. closest -2.5

7.÷2=10-3=7

Answer:

2.478x10^7

Step-by-step explanation:

They give you each radius, so you just add them together.

15,300,000+9,480,000=24,780,000 = 2.478x10^7

(or)

1.53x10^7+0.948x10^7= 2.478x10^7

Answer:

2. Dependent events

Step-by-step explanation:

Answer:

? = 5n + 6

Explanation:

Answer:

5x + 6

Step-by-step explanation:

Let the number = x. 5 times x = 5x. So, the equation 5x + 6.

Answer:

54.

Step-by-step explanation:

( 8 + √ 10 ) ( 8 − √10)

= 8*8  - 8√10 + 8√10  +√10 *  -√10

= 64 -  8√10 + 8√10 - 10

The 2 middle turns cancel out so we have:

64 - 10

= 54.

Answer:

-32????

Step-by-step explanation:

I don't see an actual question here, so my three answers that I got from this post are:

-32

<32

>-32

Answer: 105m²

Formula for Area of Circle: A = π r²

so, A = 3.14 (6)² (I got 6 because radius is half the diameter)

Don't forget to divide the final area of the circle in half, because It's only a semicircle.

Formula for Triangle: A = [tex]\frac{bh}{2\\}[/tex]

so, A = [tex]\frac{6(8)}{2}[/tex] (again, the "6" is just the diameter divided in half which forms the base of ONE triangle.)

You need to multiply the final area of the triangle by 2 since there are 2 triangles.

Step-by-step explanation:

Cos Milky said it. Trust Milky. Milky smart.

Answer:

deez nù Tx. . .

Step-by-step explanation:

source:trust me bro

Answer:

Let n and n+4 be the numbers. Then:

n² + 3(n+4)=66

n²+3n-54=0

(n+9)(n-6)=0

n=6 or -9

n+4=10

Assuming positive integers only, the numbers are 6 and 10…..

Step-by-step explanation:

100% right

Natural number are those number that is used for the purpose of counting and ordering. The two natural numbers are 4 and 6.

Natural number are those number that is used for the purpose of counting and ordering. It is denoted by 'N'.

Let the first number(bigger number) be 'a', and the smaller number be b.

As it is given that the first number is 4 more than the second number. Therefore, the equation can be written as,

a = b + 4

Now, it is given that the product of the two numbers is three times the square of the smaller number. Since, when we add four to b we get a, therefore, b is the smaller number. Therefore, the equation can be written as,

[tex]ab = 3(b^2)\\[/tex]

As the value of a = b+4, substitute the value of a,

[tex](b+4)b = 3(b^2)\\\\(b+4) = \dfrac{3b^2}{b}\\\\b+4 = 3b\\\\4=3b-b\\\\4=2b\\\\b = 2[/tex]

Thus, the value of b is 2.

In order to get 'a' add 4 to the value of b, therefore, the value of a is,

[tex]a = b+4\\\\a = 2+4 \\\\a=6[/tex]

Hence, the two natural numbers are 4 and 6.

Learn more about Natural numbers:

https://brainly.com/question/17429689

Answer:

Oh easy here is the answer m=21