Answer: (C) 0.1591
Step-by-step explanation:
Given : A manufacturer of radial tires for automobiles has extensive data to support the fact that the lifetime of their tires follows a normal distribution with


Let x be the random variable that represents the lifetime of the tires .
z-score : 
For x= 44,500 miles

For x= 48,000 miles

Using the standard normal distribution table , we have
The p-value : 

Hence, the probability that a randomly selected tire will have a lifetime of between 44,500 miles and 48,000 miles = 0.1591
Answer:

Step-by-step explanation:
First of all we need to know the relation between 1 dollar and 1 cent in order to express everything in the units required in the question.
We know that
, so the amount paid for the item with single dollars has to be multiplied by 100 to express its value in cents.

Now that we have everything in cents, we can make the subtraction:

Replacing the value in cents we get:

Answer:
31
Step-by-step explanation:
Answer:
48x - 40y +24
Step-by-step explanation:
Answer:
7.8 feet
Step-by-step explanation:
The shadow, the ground and the distance between the top of the tree and end of the shadow form 2 right-angled triangles which are similar.
So corresponding sides are in the same ratio. Therefore:-
40 / 12 = 26/x where x is the length of shadow cast by the smaller tree.
40x = 12*26
x = (12*26) / 40
= 7.8 feet