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tia_tia [17]
4 years ago
13

A fair coin is tossed three times in succession. The set of equally likely outcomes is {HHH, HHT, HTH, THH, HTT, THT, TTH TTT}.

Find the probability of getting exactly two heads
Mathematics
1 answer:
V125BC [204]4 years ago
7 0

Answer: 0.375

Step-by-step explanation:

Let x be the event that at exactly 2 heads occurs

Let s be the sample space

Therefore;

n(s) = 8

n(x) = 3 (HHH, HHT, THH)

p(x) = n(x)/n(s)

p(x) = 3/8

p(x) = 0.375

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melomori [17]

Answer:

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Step-by-step explanation:

13 - 4 = 9

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3 years ago
Doreen Schmidt is a chemist. She needs to prepare 24 ounces of a 9% hydrochloric acid solution. Find the amount of 12% solution
Alchen [17]

Answer:

Step-by-step explanation:

So we need to balance two things here.  The overall volume, and the amount of hydrochloric acid.

Let's say x is the volume of the 12% solution and y is the volume of the 6% solution.

The sum of the volumes equals the total volume:

x + y = 24

And the sum of the amounts is the total amount:

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We now have two equations and two variables.  We can solve this system of equations with either substitution or elimination.  Using substitution:

x = 24 - y

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5 0
4 years ago
All numbers less than or equal to 87 and greater than or equal to 83
Gwar [14]

Answer:

83\leq x\leq 87

Step-by-step explanation:

Split the words at "and" and solve one piece at a time. (when a function has "or equal to", use the ones with the line under \leq  \geq) Let x be the unknown value

"less than or equal to 87"

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"greater than or equal to 83"

x\geq 83

Put them together by putting x in the middle. Don't forget to make the signs face the right way:

x\leq 87\\x\geq 83\\83\leq x\leq 87

Done.

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Step-by-step explanation:

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