Answer:
a) 76% probability that Joe is early tomorrow.
b) 64.47% conditional probability that it rained
Step-by-step explanation:
We have these following probabilities:
A 70% probability that it will rain tomorrow.
A 30% probability that it does not rain tomorrow.
If it rains, a 30% probability that Joe is late and a 100-30 = 70% probability that Joe is early.
if it does not rain, a 10% probability that Joe is late and a 100-10 = 90% probability that Joe is early.
(a) Find the probability that Joe is early tomorrow.
Either it rains(70% probability) and he is early(70% probability when it rains), or it does not rain(30% probability) and he is early(90% probability when it does not rain). So
76% probability that Joe is early tomorrow.
(b) Given that Joe was early, what is the conditional probability that it rained?
By the Bayes theorem, this probability is:
The probability that it rained and he was early divided by the probability he was early.
Rained and early
70% probability it rains.
70% probability he is early when it rains.
Early
From a), 0.76
Probability
64.47% conditional probability that it rained
Answer: Tunnel tent.
Step-by-step explanation:
The tent which has the minimum area requires less nylon to manufacture,
Since, the area of Pup tent = Area of 3 square each having side 8 ft + Area of 2 equilateral triangle having side 8 ft
=
=
=
=
Now, the area of tunnel tent = Area of square having side 8 ft + total Area of half cylinder having radius 4 ft and height 8 ft
=
=
=
=
Since, 214.72 < 247.43
Thus, Tunnel tent requires less nylon to manufacture.
h= number of hours
m= number of miles
Formula: 4h=12m
(4 hours equals 12 miles)
Divide 4 on each side.
h= 3m
3 miles per hour.
Then, convert miles to feet. And hours to minute.
To do this simultaneously,
Convert miles to feet and hours to minutes.
There should be 3 "fractions" to multiply.
The first should be the original problem:
3miles/1 hour. (3 miles per hour).
The second should be 1 hour/60min. (1 hour per 60 min).
The third should be 5280 ft/1 mile. (5280 feet per mile).
The second and the third fractions are to convert miles to feet and the hours to minutes.
