Frank Catton, the general manager of Billybob's floating raft hotel and Casino in Tunica Mississippi, has installed the "The Wheel of Doughnuts" at the check in desk. When you check in, you spin the wheel and a plate containing that many hot doughnuts is delivered to your room the next moming for free. If your spinlands on an orange slot you get free hot chocolate too

(Give a fraction or round to 1 decimal place)

A. What is the probability that you get 7 doughnuts and hot chocolate? I

8. What is the probability that you get 7 doughnuts or hot chocolate?

P( 7 doughnuts or hot chocolate)=0.40

Step-by-step explanation:

From the question we are told that

Total number of plates

1)Generally the probability that you get 7 doughnuts and hot chocolate is mathematically given as

7 doughnuts and hot chocolate= 1 slot

Therefore

P( 7 doughnuts and hot chocolate)= 1/10

P( 7 doughnuts and hot chocolate)= 0.10

2)Generally the probability that you get 7 doughnuts or hot chocolate is mathematically given as

P( 7 doughnuts or hot chocolate)=P(7 doughnuts)+P(hot chocolate)-P( 7 doughnuts and hot chocolate)

1 plates contains 7 doughnuts

P(7 doughnuts)=1/10

P(7 doughnuts)=0.10

4 plates contain hot chocolate

P(hot chocolate)=4/10

P(hot chocolate)=0.4

7 doughnuts and hot chocolate= 1 slot

P( 7 doughnuts and hot chocolate)= 1/10

P( 7 doughnuts and hot chocolate)= 0.10

Therefore

P( 7 doughnuts or hot chocolate)=0.10+0.4-0.10

Therefore

P( 7 doughnuts or hot chocolate)=0.40

The probability of getting 7 doughnuts or hot chocolate is 0.4

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10