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Xelga [282]
2 years ago
12

You have a bag which contains 15 slips of paper that are num- bered 1 through 15. You pull a piece of paper from the bag, do not

return it, and then pull another piece of paper from the bag. What is the probability that both slips of paper you pull are out are a multiple of 4? Express your answer as a fully simplified fraction.
Mathematics
1 answer:
BARSIC [14]2 years ago
3 0

Answer:

<u>The correct answer is 1/35 (fully simplified fraction)</u>

Step-by-step explanation:

Number of slips of paper in the bag = 15

Number of slips of paper in the bag that are a multiple of 4 = 3 (those numbered 4, 8 and 12)

Using Laplace Rule, that states that the probability of an event X is obtained by dividing the number of results that form event X by the number of possible outcomes, provided that the elementary events are equiprobable, that is, that all possible outcomes have the same probability.

Probability of pulling a 1st piece of paper multiple of 4 = 3/15 = 1/5

Now we have a second event Y that is not independent from the first event X, because now the number of slips is 14 and not 15, you're not returning the first slip of paper.

Probability of pulling a 2nd piece of paper multiple of 4 = Probability of the 1st event * probability of the 2nd event after it happened the 1st one

Probability of pulling a 2nd piece of paper multiple of 4 = 1/5 * 2/14

Probability of pulling a 2nd piece of paper multiple of 4 = 2/70 = 1/35

<u>The probability of pulling two slips of paper both numbered with a multiple of 4 is 1/35.</u>

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Answer:

Difference= $3,090.15 in favor of compounded interest

Step-by-step explanation:

Giving the following information:

Present value (PV)= $8,500

Ineterest (i)= 0.025/12= 0.00208

Number of periods (n)= 360 months

<u>We will calculate the future value of each option and determine the difference:</u>

<u>Simple interest:</u>

FV= (PV*i*n) + PV

FV= (8,500*0.00208*360) + 8,500

FV= $14,864.8

<u>Compounded interest:</u>

FV= PV*(1+i)^n

FV= 8,500*(1.00208^360)

FV= $17,958.95

Difference= $3,090.15

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2 years ago
Carla purchases 4 books for $10.Amy purchased 9 books.How much did Amy spend if her books cost the same as Karla's?
Kipish [7]
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7 0
3 years ago
WILL GIVE BRAINLIEST PLEASE HELP
Debora [2.8K]

Answer:

the 3 one is the correct answer

Step-by-step explanation:

3 0
3 years ago
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Two sides of a triangle measure 27 inches and 32 inches. Which could represent the length of the third side?
charle [14.2K]

Answer:

Step-by-step explanation:

The third side could have dimension x

32 - 27 < x < 32 + 27

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There are a few special triangles

Equilateral triangle could have legs

27, 32, <u>27</u>

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A right triangle could have the third side

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2 years ago
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the table shows the types of popcorn buckets sold at a concession station for one day. what percent of the buttered popcorn buck
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First we need to find the total amount of buttered popcorn sold. This is 182 + 140 + 97 = 419 buckets.

To find the percentage of the buttered popcorn buckets that were large, we use the following formula:
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Filling in this formula brings us to our answer:
\frac{97}{419} \times 100\% = 23.15
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