A bowl contains 4 red marbles and 3 yellow marbles. Tim randomly draws 3 red marbles from the bowl. He replaces each marble after it is drawn. What is the probability that he draws 2 yellow and 1 red?

Answers

Answer 1

Answer: So,

The probability of drawing a yellow marble is $(3)/(7)$ .
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same: $(3)/(7)$ .

The probability of drawing a red marble is $(4)/(7)$ .

In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.

$( (3)/(7) )( (3)/(7) )( (4)/(7) ) = (36)/(343)$

Because the order of the marbles doesn't matter, we will multiply the probability by 3.
$3( (36)/(343) ) = (108)/(343)$

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Factor 9x6 – 16 y completely.First factor each term.9x6 = (__)?16y6 = ()2Then use a? - b2 = (a - b)(a + b). Show your work.9x6 – 16y6 =

Henrietta has $120 to buy a new bicycle. She finds the bike that she wants to buy on sale for 20% off the regular price of $150. If there is 6% sales tax, which of the following best describes the amount of money Henrietta has with regards to buying the bike. a. Henrietta has enough before the tax, but not enough after the tax. b. Henrietta has enough money even after the tax. c. Henrietta does not have enough money even before the tax. d. There is not enough information given.

Answers

Given:
Henrietta budget: 120
Original Price of the bike : 150
discount: 20%
sales tax: 6%

150 * 20% = 30
150 - 30 = 120 discounted price

120 * 6% = 7.2 sales tax
120 + 7.2 = 127.20 total cost of the bike

Since Henrietta only has 120, A.) Henrietta has enough before the tax, but not enough after the tax.

Answer:

A. Henrietta has enough before the tax, but not enough after the tax.

Step-by-step explanation:

Solve for y:

-y+6+6y=9

Answers

-y + 6 + 6y = 9

First, simplify -y + 6 + 6y to 5y + 6. / Your problem should look like: $5y + 6 = 9$
Second, subtract 6 from both sides. / Your problem should look like: $5y = 9 - 6$
Third, subtract 9 - 6 to get 3. / Your problem should look like: $5y = 3$
Fourth, divide both sides by 5. / Your problem should look like: $y = (3)/(5)$

Answer as fraction: y = $(3)/(5)$
Answer as decimal: 0.6

−y+6+6y=9

(−y+6y)+(6)=9(Combine Like Terms)

5y+6=9

Subtract 6 from both sides.

5y+6−6=9−6

5y=3

Divide both sides by 5.

5y/5=3/5

y=3/5

Select the correct answer.Evaluate the following expression when x = -4 and y = 4.
X to the 6th power -x/4y
A.
1,023/4
B.
1,023
C.
1,025/4
D.
16,385/4

Answers

The required simplified value of the given expression at x = -4 and y = 4 is 16, 385/4. Option D is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
when x = -4 and y = 4.

Expression = x⁶ - x/4y
Put x = -4 and y = 4.
= (-4)⁶ - [-4 /(4×4)]
= 4096 + 1/4
= 16385/4

Thus, the required simplified value of the given expression at x = -4 and y = 4 is 16, 385/4. Option D is correct.

Learn more about simplification here:

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Final answer:

After evaluating the expression x^6 - x/4y with the given x = -4 and y = 4, the answer comes out to be 4096.25, which is not currently listed in the provided options. A likely explanation for this could be a typo or error in the question.

Explanation:

The given expression is: x^6 - x/4y . Now, let's substitute the given values x = -4 and y = 4 into the expression.

Therefore, (-4)^6 - (-4/4*4) = 4096 - (-4/16)

This gives 4096 - (-1/4) or 4096 + 1/4.

That simplifies to 16384/4 + 1/4 = 4096.25 which is none of the options presented. Hence, the correct answer should be "4096.25."

Learn more about Math Equation Evaluation here:

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If x is a negative number, which of the following could equal the absolute value of x? Select all that apply.A. -2
B. 2
C. 4
D. 6

Answers

The absolute value of a number is its distance from zero. There can not be a negative distance from zero. Therefore, all absolute values are positive, no matter if the value inside them is positive or negative. So, B, C, and D can each be the absolute value of some number x, because they are all positive.

Hope this helps! :)

the answer to your question is B, C, and D.

Suppose you earned 7t - 1 dollars on Monday and 8t + 5 dollars on Tuesday. What were your total earnings? Simplify you answer. Please help!!!A: -t + 4 dollars
B: -t - 6 dollars
C: 15t - 6 dollars
D: 15t + 4 dollars

Answers

D) You set the equation together like this 7t-1+8t+5 , then you simplify. You would get 15t + 4.

What is the answer for 3{5[10+5(500-100)+399]}

Answers

Okay. Handle 500-100 first. That brings it to 3{5[10+5(400)+399]}. Next, Handle 5(400). That brings you to 3{5{10+2,000+399]}. Then handle all the addition. That leads to 3[5(2,409)]. Next, configure 5(2409). That leads to 3(12045). Then do that one which ends as 36,135 for a final answer.

Handle 500-100 first. That brings it to 3{5[10+5(400)+399]}. then Handle 5(400). That brings you to 3{5{10+2,000+399]}. next handle all the addition. That brings you to 3[5(2,409)]. Next, configure 5(2409). That gives you 3(12045). Then do that one which ends as 36,135 for a final answer.qx

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