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

= $0.25*0.60\\=0.150$

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%)

= $0.40*0.30+0.35*0.50+0.25*0.60\\=0.12+0.175+0.30\\=0.595$

6 0

3 years ago

Arya and Cody each manage a landscaping business.

Viktor [21]

And? Congrats? Please write the full question

3 0

2 years ago

A couch and coffee table cost a total of $1080. The cost of the couch is two times the cost of the coffee table. Find the cost o

Alborosie

Answer:

$720

$360

Step-by-step explanation:

Let the cost of couch be A and that of coffee table be B

Given couch and coffee table cost $1080

That’s

A + B = $1080

Also, the cost of couch A is 2 times the cost of coffeee table B.

That’s

A = 2B

We now have two equations

A + B = 1080

A = 2B

Now ,substitute 2B for A in the first equation .

We have

A + B = 1080

2B + B = 1080

3B = 1080

Divide both sides by 3

3B/3 = 1080/3

B = 360

The coffee table cost $360

Remember A = 2B

Therefore

A = 2 x $360

A = $720

The couch cost $720 while the coffee table cost $360

3 0

3 years ago