MATHEMATICS HIGH SCHOOL

A bag contains 10 red marbles, 7 green marbles. and 8 striped marbles. A marble is picked, then put back into bag. Find P(green and striped).

Answers

Answer 1

Answer:

G = number of green = 7

S = number of striped = 8

T = number total = 10+7+8 = 25

probability of picking green = P(G) = G/T = 7/25

probability of picking striped = P(S) = S/T = 8/25

P(green and striped) = P(G)*P(S) ... events are independent

P(green and striped) = (7/25)*(8/25)

P(green and striped) = (7*8)/(25*25)

P(green and striped) = 56/625

P(green and striped) = 0.0896

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In summary, the answer as a fraction is 56/625

In decimal form, the answer is 0.0896

The value 0.0896 can be converted to percent form to get 8.96%

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Rolex worked 40 hours last week. He had 74 deducted from his earnings for taxes. If he had 286 left after the deduction how much does Rolex earn per hour?

Answers

Answer:

Rolex earns $9 per hour.

Step-by-step explanation:

Let the number of dollars he earns each hour be x.

To create our equation we need to find the total number of dollars he earned before his deduction which is 40x.

Then we know that he got 74 dollars deducted from his total earnings leaving him with 286 which gives us an equation. 40x + 74 = 286

40x - 74 = 286 (Equation)

40x = 360 (Add 74 from both sides)

x = 9 (Divide both sides by 40)

Select two fractions equivalent to 100/200. 10/22 66/133 55/110 10,000/20,000

Answers

correct answer is 10,000/20,000

55/110 10,000/20,000

If 80% is 72 marks, what is full marks?

Answers

$Use\ a\ proportion:\n\begin{array}{ccc}80\%&-&72\n100\%&-&x\end{array}\ \ \ |cross\ multiply\n\n\n80\cdot x=72\cdot100\n80x=7,200\ \ \ |diviede\ both\ sides\ by\ 80\n\boxed{x=90}\leftarrow your\ answer$

Use the pattern to extend the table. Then answer the question below. Include two decimals for each answer even if they are 0 Cars Washed Money Earned (Hint: this is how much you would earn for 1 car) How much is earned per car? $ How much will be earned for 20 cars?