At a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. of those who pump regular, 30% pay at least $30. of those who pump midgrade, 50% pay at least $30. and of those who pump premium, 60% pay at least $30. (a) what is the probability that the next customer pumps premium gas and pays at least $30? (b) what is the probability that the next customer pays at least $30? (c) what fraction of customers who pay at least $30 pump premium gas?

0.150,0.595

Step-by-step explanation:

Given that at a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump regular, 30% pay at least $30. Of those who pump midgrade, 50% pay at least $30. And of those who pump premium, 60% pay at least $30.

               Regular gas          Midgrade         Premium gas      Total

Percent      40                            35                     25                   100

atleast 30   30%                         50%                 60%

a) The   probability that the next customer pumps premium gas and pays at least $30

=

b)        the probability that the next customer pays at least $30

= P(regular and pays atleast 30%)+P(premium and pays atleast 30%)+P(midgrade and       pays atleast 30%)

=                  

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5