Trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 12 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 134 and 142 miles in a day. Round your answer to four decimal places.

The probability that a truck drives between 134 and 142 miles in a day is 0.0874.

Step-by-step explanation:

Let X = distance traveled by the truck in the delivery fleet.

The mean distance traveled is, μ = 120 miles/day and the standard deviation is, σ = 12 miles/day.

The random variable X is Normally distributed.

Compute the probability that a truck drives between 134 and 142 miles in a day as follows:

*Use a standard normal table.

Thus, the probability that a truck drives between 134 and 142 miles in a day is 0.0874.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).