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nydimaria [60]
3 years ago
7

What is the probability of obtaining eightheadsin a row when flipping a​ coin?

Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Prob(a head on 1 toss) = 1/2

So probability of 8 heads in a row = (1/2)^8 = 1/256 or close to 0.391%

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Step-by-step explanation:

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Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two
In-s [12.5K]
Let the original 2-digit number be xy.
Because 5 times the sum of the digits is 13 less than the number, therefore
5(x + y) = 10x + y - 13 
5x + 5y = 10x + y - 13
-5x + 4y = - 13             (1)

The number with reversed digits is yx.
Because 4 times the sum of the digits is 21 less than the reversed 2-digit number, therefore
4(x + y) = 10y + x - 21
4x + 4y = 10y + x - 21
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x - 2y = -7
x = 2y - 7                 (2)

Substitute (2) into (1).
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x = 2*8 - 7 = 9

Answers:
The original 2-digit number is 98
The reversed 2-digit number is 89
The difference between the original and the reversed 2-digit numbers is
98 - 89 = 9
4 0
3 years ago
Erickson Inc. is considering a capital budgeting project that has an expected return of 25% and a standard deviation of 30%.
KonstantinChe [14]

Answer:

a. 1.20

Step-by-step explanation:

Given that Erickson Inc. is considering a capital budgeting project that has an expected return of 25% and a standard deviation of 30%.

i.e. given that

\mu = 25%\\\sigma = 30%

Coefficient of variation = \frac{\sigma}{\bar x}

substituting the values we get

Coefficient of variation =\frac{30}{25} \\=1.20

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3 years ago
80 people took a driving test. 70 of them passed the test. What percentage failed the test?
tiny-mole [99]

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12.5% failed

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4 years ago
The area of a square is 8 square meters. Which of these
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Answer:

G.

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Length = Square root of Square area

= √8 (-√8 is rejected as length is positive)

We know that √4 < √8 < √9 because 4 < 8 < 9.

=> 2 < √8 < 3.

The only answer that is in this range is G.

6 0
4 years ago
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