Answer:
D
Step-by-step explanation:
Divide the composite shape into 2 rectangles.
The dimensions of the 2 rectangles are :
Then, we plug in the values.
1st Rectangle
7 * (14 + 10)
7 * 24
168
2nd Rectangle
9 * 10
90
Then, we add together.
168 + 90 = 258
2(4+2x)≥5x+5
4+2x≥5/2x+5/2 (divide both sides by 2)
3/2+2x≥5/2x (subtract 5/2 from both sides)
3/2≥1/2x (subtract 2x from both sides)
3≥x (multiply both sides by 2)
or x≤3
Hope this helps
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