A fleet of vehicles is comprised of 60 vans, 20 limos, and X sedans. If 10% of all vehicles are limos, how many sedans are in th
2 answers:
Answer:
120 sedans are in the fleet.
Step-by-step explanation:
A fleet of vehicles is comprised of 60 vans, 20 limos and X sedans.
It is given that 10% of all vehicles are limos.
Let all vehicles be n
10% × n = 20
0.10n = 20
n =
n = 200
Now we have to calculate the number of sedans.
So 60 vans + 20 limos + x sedans = 200
80 + x = 200
x = 200 - 80
x = 120
Therefore, 120 sedans are in the fleet.
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Answer:
Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .
Step-by-step explanation:
We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;
Mean, = 1.3 cm and Standard deviation,
= 0.01 cm
Also, since distribution is normal;
Z = ~ N(0,1)
Let X = range of diameters
So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)
P(X < 1.33) = P( <
) = P(Z < 3) = 0.99865
P(X <= 1.27) = P( <
) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865
= 0.00135
P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .
Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .