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3 years ago

14

Alyssa flips a fair,two-sided coin four times.What is the probability that the coin lands with heads facing up exactly three tim

es?

1 answer:

NARA [144]3 years ago

5 0

Fair coin means P(heads) = 1/2 for each flip.
The three flips are independent, so multiplication rule applies.
P(head,head,head)=(1/2)(1/2)(1/2)=1/8

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Black_prince [1.1K]

If the given expression is simplified we get a. -4x² - 3x + 2.

Explanation:

The numerator has three terms while the denominator only has one term. We divide the numerator terms each separately with the denominator term.

So 8x³ + 6x² - 4x / -2x becomes (8x³ / -2x) + (6x² / -2x) + (- 4x/ -2x).

The simplification of the first term; 8 / -2 = -4, x³ / x = x². So the first term is -4x².

The simplification of the second term; 6 / -2 = -3, x² / x = x. So the second term is -3x.

The simplification of the third term; -4 / -2 = 2, x / x = 1. So the third term is 2.

Adding all the terms we get -4x² - 3x + 2. This is the option a.

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3 years ago

What is the percent?

madreJ [45]

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2 years ago

Which steps can be used to solve StartFraction 6 Over 7 EndFraction x + one-half = StartFraction 7 Over 8 EndFraction for x? Che

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Answer:

Subtract One-half from both sides of the equation.

Divide both sides by 6/7

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?

BaLLatris [955]

Answer:

19 dimes and 9 nickels

Step-by-step explanation:

Model the situation using two equations, then solve the system.

let n be number of nickels and d be number of dimes.

n + d = 28 <= This equation is about the number of coins.

0.05n + 0.10d = 2.35 <=This equation is about the worth in dollars.

Rearrange n + d = 28.

n = 28 - d

Now we can substitute this equation into the other one.

Sub n =28-d at the "d" variable for the equation 0.05n + 0.10d = 2.35

0.05n + 0.10d = 2.35

Now there is only one variable.

0.05(28 - d) + 0.10d = 2.35 <=distribute this

0.05(28 - d) + 0.10d = 2.35

1.4 - 0.05d + 0.10d = 2.35 <=combine like terms

1.4 + 0.05d = 2.35 <= begin to isolate d

0.05d = 2.35 - 1.4

0.05d = 0.95

d = 0.95/0.05

d = 19

Now that we know d=19, we can substitute it into any equation.

Choose the equation n + d = 28 because the numbers are easier.

n + d = 28

n + 19 = 28 <=isolate n

n = 28 - 19

n = 9

Since n=9 and d=19, Kay has 9 nickels and 19 dimes.

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3 years ago

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