A student received a coupon for 12% off the total purchase price at a clothing store. Let b be the
original price of the purchase. Use the expression below for the new price of the purchase. Write an
1. equivalent expression by combining like terms.
b-0.12b​

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:

8

Step-by-step explanation:

1/4 times 8 is 2

Answer:

Step-by-step explanation:

Cross multiply and solve for x:

Answer:

Step-by-step explanation:

Answer:

-7 is bigger

-9 is bigger

-6 is bigger

7 is bigger

I think.....

-9,-8,-7,-6,-4

-9,-7,-6,4,7

-2-1,0,4,9

-8,-2,3,5,8 ?

I guess I didn't understand the question

Answer:

C. A matched pairs tt-interval for a mean difference

Step-by-step explanation:

When the observations from two samples are paired either naturally or by design we find the difference between the two observations of each pair. Treating the differences as a random sample from a normal population with mean ud= u1-u2 and unknown standard deviation , we perform one sample t- test on them . This is called paired difference or a paired or a matched t- test.

The test statistic

t= d`/sd/√n

where d`= ∑ di/n

and sd= ∑ (di- d`)²/n-1

with υ= n-1 degrees of freedom.

For example suppose 10 young recruits are given a strenuous physical training programme by Army. Their weights are recorded before they begin and after they complete they complete the training. The two observations obtained for each recruit. i.e. before and after measurements constitute natural pairing.

Step-by-step explanation:

step 1. the standard form of a quadratic equation is f(x) = ax^2 + bx + c

step 2. since they are all in standard form you need to provide more information.

Answer:

p = 8h

Step-by-step explanation:

for example, 16= 8 times 2 or 24 = 8 times 3

Answer:

p = 8h

Step-by-step explanation:

Divide each amount he earns by the number of hours he works.

When he earns $8, he works 1 hour.

When he earns $16, he works 2 hours.

When he earns $24, he works 3 hours.

8/1 = 8

16/2 = 8

24/3 = 8

For any amount that he earns, it is always 8 times the number of hours he works.

Answer: p = 8h

Answer:

uhhh i got 113.09, so im assuming its 113.04

This is strange there's some sort of mistake with I-ready

Step-by-step explanation:

Answer:

2,995 or 35,940(?)

Step-by-step explanation:

I don't exactly remember how to do this so, I'll show you two different ways I solved this

Use the formula I=P*r*t

I=Interest

P=Principal

r=rate

t=time

To solve this you'll have to...

The principal is 29,950, the rate is 5% but it'll become a decimal which is 0.05, and the time is 2

Put it into the formula form 29,950*0.05*2= 2,995 in interest

Or...

You'll use the same formula, but this time multiply 0.05 by 12 since there are 12 months in one year which is 0.6, so...

29,950*0.6*2=35,940 in interest

I hope one works!

The value of WX will be; (8y³)/(7y+8).

To find the length of WX, we need to substitute the given values of x and simplify the expression:

WX = xy/(2x+16) - xw/(7x-29)

xy/(2x+16) = xw/(7x-29)

Cross-multiplying, we get:

xy(7x-29) = xw(2x+16)

Expanding both sides;

7x²y - 29xy = 2x²w + 16xw

Rearranging terms and factoring out x;

x(7xy - 2xw) = 29xy - 16xw

Solving for x, we get:

x = (29xy - 16xw)/(7xy - 2xw)

Now we can substitute this value of x into the expression for WX to find its value. use the expression WX = xy/(2x+16):

WX = xy/(2x+16)

WX = y(29xy - 16xw)/[2(7xy - 2xw) + 16]

Simplifying the denominator,

WX = y(29xy - 16xw)/[14xy - 4xw + 16]

Finally, we can substitute the given values of xw and xy to get,

WX = y(29xy - 16xw)/[14xy - 4xw + 16] = (8y³)/(7y+8)

Therefore, WX = (8y³)/(7y+8).

Learn more about chord of the circle : brainly.com/question/1654080

#SPJ1

Answer: WX = 34

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Answer: 63

Step-by-step explanation:

Answer:

3,200,000,000

Step-by-step explanation:

3,2 * 10^9 =

= 3,2 * 1 000 000 000 =

= 32 000 00 000

Answer:

Hardness.

Step-by-step explanation:

A mineral's hardness is a measure of its relative resistance to scratching, measured by scratching the mineral against another substance of known hardness on the Mohs Hardness Scale.

Answer:

hardness

Step-by-step explanation:

number 3

Answer:

96 tiles

Step-by-step explanation:

if the rectangular region has dimensions of 168cm by 72 cm then what you would do is multiple them to find the area (168 x 72) which would equal 12,096. then after that you would find the area of the tiles, with the given dimensions being 14cm by 9cm you would do 14 x 9, which would give you 126 sq cm. then after you have you two products, you would then divide them (12,096/126). this equation would give you the sum of 96 tiles be able to fit within the rectangular region.

Answer:

60% of the payment of food

Step-by-step explanation:

he paid $5 for his food

and $3 for the tip

3/5 = 6/10 = 60%

60% of the original payment

9514 1404 393

Answer:

  10

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. That is, point O is the midpoint of AC. If AO = 5, then OC = 5 and AC = 5+5 = 10.

Answer:

1/10

Step-by-step explanation:

Divide 3/10 by 3. Remember to "keep, flip, change".

3/10 ÷ 3/1

3/10 × 1/3

Multiply across: 3/10 × 1/3 = 3/30

Simplify: 3/30 = 1/10

Answer:

Daytime people.

Step-by-step explanation:

Evening people have 125.

Daytine people have 140.

Answer:

B

Step-by-step explanation:

sorry if I am wrong

but you got what it takes to do it ⭐⭐⭐⭐⭐

Answer:

19

Step-by-step explanation:

2x+7=45

2x=45-7

2x=38

2x/2=38/2

X=19

Answer:

x=5

Step-by-step explanation:

already explained.

Answer:

1.4

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5, 10, 15, 20, 25

5, 10, 15, 20, 25

5, 10, 15, 20, 25

Hope this helps!!!

Have a great day!!!! :)

Answer:

5

Step-by-step explanation:

factors of 20:

1, 2, 4, 5, 10, 20

factors of 10:

1, 2, 5, 10

factors of 25:

1, 5, 25

as you can see from the factor list of each number, 5 is the higest common factor.

Answer:

ok so 8/10 I think it is 4/5

and 6/10 I think is 3/5

Answer:

x = 6

Step-by-step explanation:

Looking at the figure, we can say that it is a vertical angle.

5x - 7 = 23

5x - 7 + 7 = 23 + 7

5x = 30

5x / 5 = 30 / 5

x = 6

Since it is a vertical angle, the other side should be 23⁰. You can also plug in the x value to find if it gives you 23⁰ or not.

5x - 7

5(6) - 7

30 - 7

23

Therefore, x = 6. Hope this helps and stay safe, happy, and healthy, thank you :) !!

Answer:

Penny can fill eight jars.

Answer:

Penny can fill 8 jars.

Step-by-step explanation:

Step one: Multiply the divisor by a power of 10 to make it a whole number. Then, multiply the dividend by the same power of 10. Step two: Write the decimal point in the quotient above the decimal point in the new dividend. Step three: Divide!

Answer:

234 students were awarded more Kona Ice.

Step-by-step explanation:

This is a 2 step equation.

You take the 43 students who were awarded candy bars and the 5 who were awarded water bottles and add them.

43+5=48

Then you take the number of students who were awarded Kona Ice 282 and subtract your total of 48.

282-48=234

Answer:

[tex]\huge\boxed{\sf Area = 12.8 cm\²}[/tex]

Step-by-step explanation:

Let,

The length of rectangle = x

The width of rectangle = y

The length of square = x - 4

The width of square = y + 5

Area of rectangle = xy

Area of square = xy + 40

Condition No. 1:

Area of Square = Length of square * Width of square

xy + 40 = (x - 4)(y - 5)

xy + 40 = xy - 5x - 4y + 20

- 5x - 4y = 40 - 20

- 5x - 4y = 20

5x + 4y = -20 ------------------(1)

Condition No. 2:

We know that:

Length of square = Width of square

x - 4 = y + 5

Add 4 to both sides

x = y + 5 + 4

x = y + 9 ---------------------------(2)

Solution:

Put Eq. (2) in (1)

5 (y + 9) + 4y = -20

5y + 45 + 4y = -20

9y + 45 = -20

9y = -20-45

y = -65 / 9

Now, Put the value of y in Eq. (2)

x = (-65 / 9) + 9

x = (-65 + 81) / 9

x = 16 / 9 cm

Now,

Area of rectangle = xy

Area = ( -65 / 9 ) * ( 16 / 9 )

Area = (-65*16) / (9*9)

Area = -1040/81

Area = 12.8 cm² (Neglecting -ve sign)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

360

Step-by-step explanation:

360m^2