3x + 9y ≥ 18 2x + 4y ≥ 10 3x + y ≥ 5 x ≥ 0, y ≥ 0
1 answer:
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Answer:
The maximum distance is 17.5 miles
No she can't make to the airport.
Step-by-step explanation:
Given the cab charges $0.8 per mile and $2 for tolls.
let the miles travelled by melissa be x.
The total charge is $
Now given that she can spend a maximum of $16
so the inequality is
Therefore the maximum distance she can travel is 17.5 miles
Since the distance to airport is 25 miles which is greater than 17.5 miles she cannot afford the cab.
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% .