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NARA [144]
2 years ago
13

A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and th

en draws another marble randomly. What is the probability of drawing 2 blue marbles in a row? Explain your answer.
Mathematics
1 answer:
allochka39001 [22]2 years ago
6 0

Answer:

\dfrac{9}{64}

Step-by-step explanation:

Sampling with replacement means that we choose a marble, note its colour, put it back and shake the box, then choose a marble again.

There are 1+3+4=8 marbles in total. The probability that the first chosen marble is blue is \dfrac{3}{8}. then Maya replaces this marble and the probability of choosing the second blue marble is the same. Using the product rule, the probability of drawing 2 blue marbles in a row is

\dfrac{3}{8}\cdot \dfrac{3}{8}=\dfrac{9}{64}.

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Answer:

000.60

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1 year ago
How much Greater is the amount Jason paid than amount he charged
Andreyy89

Hello,

I think the answer is D) 102.92

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2 years ago
Andre and Diego were each trying to solve 2x+6=3x−8. Describe the first step they each make to the equation. The result of Andre
Oksi-84 [34.3K]

Answer:

  • Andre subtracted 3x from both sides
  • Diego subtracted 2x from both sides

Step-by-step explanation:

<u>Andre</u>

Comparing the result of Andre's work with the original, we see that the "3x" term on the right is missing, and the x-term on the left is 3x less than it was. It is clear that Andre subtracted 3x from both sides of the equation.

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<u>Diego</u>

Comparing the result of Diego's work with the original, we see that the "2x" term on the left is missing, and the x-term on the right is 2x less than it was. It is clear that Diego subtracted 2x from both sides of the equation.

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<em>Comment on their work</em>

IMO, Diego has the right idea, as his result leaves the x-term with a positive coefficient. He can add 8 and he's finished, having found that x=14.

Andre can subtract 6 to isolate the variable term, and that will give him -x=-14. This requires another step to get to x=14. Sometimes minus signs get lost, so this would not be my preferred sequence of steps.

As a rule, I like to add the opposite of the variable term with the least (most negative) coefficient. This results in the variable having a positive coefficient, making errors easier to avoid.

3 0
1 year ago
0.01234567901 as a fraction
balu736 [363]

Answer: 1234567901 /100000000000

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are  11  numbers to the right of the decimal point, place the decimal number over  10 ∧11   ( 100000000000 ) . Next, add the whole number to the left of the decimal.

1234567901 /100000000000

6 0
1 year ago
Which two equations can you use to find the adult and child admission fees for a puppet show? Let a represent the fee for adults
vlabodo [156]

45a + 30c = 315 \\ 50a + 40c = 370
The answers are C and E

Hope this helps. - M
3 0
2 years ago
Read 2 more answers
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