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
5x + 2(x + 1) ≤ 23
Distribute the 2.
5x + 2x + 2 ≤ 23
Combine like terms.
7x + 2 ≤ 23
Subtract 2 from both sides.
7x ≤ 21
Divide both sides by 7
x ≤ 3
Answer:
5/14
Step-by-step explanation:
The total number of cards is 8
There are 5 blue cards
P(1st card is blue) = blue/total = 5/8
We take away a blue card
The total number of cards is 7
There are 4 blue cards
P(2nd card is blue) = blue/total = 4/7
The probability of blue blue is P(blue blue ) =
P(1st card is blue)*P(2nd card is blue) =
5/8* 4/7
20/56
We can divide the top and bottom by 4
5/14
N, O, S, and Z all have rotational symmetry