Answer:
There is a 90.32% probability that the cake was baked by Doug.
Step-by-step explanation:
We have these following probabilities:
A 70% probability that Doug bakes the cake.
A 30% probability that Jeremy bakes the cake.
A 40% probability that a cake baked by Doug gets a thumbs up.
A 10% that a cake baked by Jeremy gets a thumbs up.
One cake was selected at random on 10/01/2014 and got a "thumbs up".
1. Find the probability that the cake was baked by Doug.
The probability that a baked cake gets a thumbs up is:
Of those, 0.7*0.4 = 0.28 are baked by Doug.
So the probability is:
There is a 90.32% probability that the cake was baked by Doug.
Answer:
Step-by-step explanation:
Graph the rational function.
Answer:
Step-by-step explanation:
We are given that
Radius of sphere expanding at the rate=
Volume of sphere=
Surface area of sphere=
We have to determine the rate at which the volume is changing with respect to time at r= 2 cm.
Differentiate w.r.t time
Substitute the values then we get
Hence, the rate at which the volume of sphere is changing is given by
The difference between 621.7 and 891.42 is 269.72
Answer:
Probability = 0.4443
Step-by-step explanation:
The provided information is:
Consider X be the weight of extra-large egg that is normally distributed with mean and standard deviation
Also, sample size n = 12.
Thus, the probability that an egg in a carton of a dozen eggs weights more than 3.5 oz is: