Answer:
a) 0.88
b) 0.35
c) 0.0144
d) 0.2084
e) 0.7916
Step-by-step explanation:
a) The probability of a peanut being brown is 12/100 = 0.12. Hence the probability of it not being brown is 1-0.12 = 0.88
b) 12% of peanuts are brown, 23% are blue. So 35% are either blue or brown. The probability of a peanut being blue or brown is, therefore 35/100 = 0.35.
c) 12% of peanuts are red, so the probability of a peanut being red is 12/100 = 0.12. In order to calculate the probability of 2 peanuts being both red, we can assume that the proportion doesnt change dramatically after removing one peanut (because the number of peanuts is absurdly high. We can assume that we are replenishing the peanuts). To calculate the probability of 2 peanuts being both red, we need to power 0.12 by 2, hence the probability is 0.12² = 0.0144.
d) Again, we will assume that the probability doesnt change, because we replenish. The probability of a peanut being blue is 0.23. The probability of it not being blue is 0.77, so the probability of 6 peanuts not being blue is obtained from powering 0.77 by 6, hence it is 0.77⁶ = 0.2084
e) The event 'at least one peanut is blue' is te complementary event of 'none peanuts are blue', so the probability of this event is 1- 0.2084 = 0.7916
Answer:
The temperature in degrees after 9 hours is -1.25 degrees Fahrenheit
Step-by-step explanation:
Here, we want to know the temperature after 9 hours
Per hour rise each hour is 3/4 degree = 0.75 degree
In 6 hours that will be 0.75 * 6 = 4.5 degrees
Or hour drop is 1/4 = 0.25 degree
In 3 hours, that will be 0.25 * 3 = 0.75 degree
Since it is a drop, we have -0.75 degree
Temperature after 9 hours will be;
-5 + 4.5 -0.75
= -5.75 + 4.5 = -1.25 degrees fahrenheit
I would just divide 400 and 10 and then try to come up with the salary
