The rectangular playground in Tim's school is three times as long as it is wide. The area of the playground is 75 square meters.
1 answer:
You might be interested in
Answer:
768 square inches
Step-by-step explanation:
Area of the rectangle = length × width
Length = 75 in
Width = 12 in
Area of the rectangle = length × width
= 75 in x 8 in
= 600 in²
Area of the square = length ²
Length = 12 in
Area of the square = length ²
= 12 in²
= 12 in × 12 in
= 144 in²
Area of a triangle = 1/2bh
b = base = 12 in
h = height = 4 in
Area of a triangle = 1/2bh
= 1/2 * 12 in * 4 in
= (1*12*4)in² / 2
= 48 in² / 2
= 24 in²
Total area of the painted part of the street sign = Area of the rectangle + Area of the square + Area of a triangle
= 600 in² + 144 in² + 24 in²
= 768 in²
Answer:
(a) The probability that all the next three vehicles inspected pass the inspection is 0.343.
(b) The probability that at least 1 of the next three vehicles inspected fail is 0.657.
(c) The probability that exactly 1 of the next three vehicles passes is 0.189.
(d) The probability that at most 1 of the next three vehicles passes is 0.216.
(e) The probability that all 3 vehicle passes given that at least 1 vehicle passes is 0.3525.
Step-by-step explanation:
Let <em>X</em> = number of vehicles that pass the inspection.
The probability of the random variable <em>X</em> is <em>P (X) = 0.70</em>.
(a)
Compute the probability that all the next three vehicles inspected pass the inspection as follows:
P (All 3 vehicles pass) = [P (X)]³
Thus, the probability that all the next three vehicles inspected pass the inspection is 0.343.
(b)
Compute the probability that at least 1 of the next three vehicles inspected fail as follows:
P (At least 1 of 3 fails) = 1 - P (All 3 vehicles pass)
Thus, the probability that at least 1 of the next three vehicles inspected fail is 0.657.
(c)
Compute the probability that exactly 1 of the next three vehicles passes as follows:
P (Exactly one) = P (1st vehicle or 2nd vehicle or 3 vehicle)
= P (Only 1st vehicle passes) + P (Only 2nd vehicle passes)
+ P (Only 3rd vehicle passes)
Thus, the probability that exactly 1 of the next three vehicles passes is 0.189.
(d)
Compute the probability that at most 1 of the next three vehicles passes as follows:
P (At most 1 vehicle passes) = P (Exactly 1 vehicles passes)
+ P (0 vehicles passes)
Thus, the probability that at most 1 of the next three vehicles passes is 0.216.
(e)
Let <em>X</em> = all 3 vehicle passes and <em>Y</em> = at least 1 vehicle passes.
Compute the conditional probability that all 3 vehicle passes given that at least 1 vehicle passes as follows:
Thus, the probability that all 3 vehicle passes given that at least 1 vehicle passes is 0.3525.