Answer:
x should be equal to 15.5 inches
Step-by-step explanation:
Answer:
The probability is 0.33696
Step-by-step explanation:
The probability that the outcome will be heads x times is calculated using the following equation:
nCx is calculated as:
This apply for variables that follows a binomial distribution. In which we have n independent and identical events with two possibles results: success and fail with a probability p and 1-p respectively.
So, In this case, n is equal to 5, and p is equal to 0.6 because we are going to call success the event in which the outcome of the coin is head.
Then, the probability that the outcome will be heads at least 4 times is calculated as:
P = P(4) + P(5)
Where P(4) is:
P(4)=0.2592
And P(5) is:
P(4)=0.07776
Finally, the probability is:
P = 0.2592 + 0.07776
P = 0.33696
-- A "mixed number" is (a whole number) plus (a fraction).
-- Two mixed numbers = (two whole numbers) and (two fractions).
-- The smallest whole number is ' 1', so when you add up all of that,
the smallest possible sum is (2) plus (two fractions).
-- So the sum must always be greater than 2 .
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<em>THAT'S IF BOTH MIXED NUMBERS ARE POSITIVE </em>.
<em>If one of them is negative</em>, then it's easy to do:
(3 and 1/2) + negative (1 and 1/2) = <u>2</u>
(25 and 7/10) + negative (23 and 7/10) = <u>2</u>
<span>Simplifying
13 = 2f + 5
Reorder the terms:
13 = 5 + 2f
Solving
13 = 5 + 2f
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '-2f' to each side of the equation.
13 + -2f = 5 + 2f + -2f
Combine like terms: 2f + -2f = 0
13 + -2f = 5 + 0
13 + -2f = 5
Add '-13' to each side of the equation.
13 + -13 + -2f = 5 + -13
Combine like terms: 13 + -13 = 0
0 + -2f = 5 + -13
-2f = 5 + -13
Combine like terms: 5 + -13 = -8
-2f = -8
Divide each side by '-2'.
f = 4
Simplifying
f = 4
SO, f = 4
13 = 2 </span>× 4 + 5<span>
Hope I helped:P</span>
82% of 503 is 412.46 hope this helps