Answer:The percentage of bottles expected to have a volume less than 32 or is 40.13%
Step-by-step explanation: The volumes of soda in quart soda bottles can be represented by a Nomal model with a= 32.3 oz
b=1.2 oz
Let S be the volume of randomly selected soda bottles
Y-score: S-a/b
For S=32 oz
Substitute the values of S,a and b into the equation
Y=32-32.3/1.2
Y=-0.25
Probability of bottles that have a volume less than 32 oz is
P(S<32)=P(Y<-025)= 0.40129
Percentage of bottles that have volume less than 32 oz will be
0.40127×100%=40.13%
Answer:
60 percent
Step-by-step explanation:
Answer:
The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.
Step-by-step explanation:
In order to solve this problem we will attribute variables to the ages of Michael and his father. For his father age we will attribute a variable called "f" and for Michael's age we will attribute a variable called "x". The first information that the problem gives us is that Michael's dad is 30 years of age, so we have:
f = 30
Then the problem states that the age of the father is 2 years "more" than four "times" Michaels age. The "more" implies a sum and the "times" implies a product, so we have:
f = 2 + 4*x
We can now find Michael's age, for that we need to isolate the "x" variable. We have:
f - 2 = 4*x
4*x = f - 2
x = (f-2)/4
x = (30 - 2)/4 = 7 years
The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.
