Evaluate 4x – 2 if x = 1/2
2 answers:
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Answer:
a) 0.778
b) 0.9222
c) 0.6826
d) 0.3174
e) 2 drivers
Step-by-step explanation:
Given:
Sample size, n = 5
P = 40% = 0.4
a) Probability that none of the drivers shows evidence of intoxication.
b) Probability that at least one of the drivers shows evidence of intoxication would be:
P(X ≥ 1) = 1 - P(X < 1)
c) The probability that at most two of the drivers show evidence of intoxication.
P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)
d) Probability that more than two of the drivers show evidence of intoxication.
P(x>2) = 1 - P(X ≤ 2)
e) Expected number of intoxicated drivers.
To find this, use:
Sample size multiplied by sample proportion
n * p
= 5 * 0.40
= 2
Expected number of intoxicated drivers would be 2
The length of the longer base is 41 ft.
<u><em>Explanation</em></u>
Lets assume, length of one base is ft.
As, another base is 19 less than five times the length of this base, so the length of another base
The trapezoid has a height of 18 ft and area of 477 ft²
Formula for Area of trapezoid, , where
= Two bases of trapezoid and
= height of the trapezoid.
Given in the question: and
We have also two bases as: and
So, according to the above formula...
So, length of one base is and another base
That means, the length of the longer base is 41 ft.