Answer:
24 months
Step-by-step explanation:
Lifespan with z-score of -3 in the the set of normally distributed life spans of an appliance can be calculated using the equation:
where
- X is the lifespan we are looking for
- M is the mean life span of the appliance (48 months)
- s is the standard deviation of the distribution of the life spans (8 months)
We have
that is
-24=X-48 and
X=24 months.
The life span of an appliance that has a z-score of -3 is 24 months.
I'm sorry but I don't know but can you help me?
First, add the total of all marbles in the bag: 3+2+7=12. this will be our denomonator. the probability is just the number of marbles in this question. there are three green marbles out of 12, and since you cannot simplify, that is your probability: 3/12
Answer:
Step-by-step explanation:
Probably the easiest way to set this up and solve it is to use proportions. We'll put miles on the top and gallons on the bottom:

Since we know the first unit rate of 32 miles per 1 gallon, we put those numbers where they belong in another fraction (ratio), with the number of miles on top with the "mi" and the number of gallons on bottom with the "gal":

Now we fill in what we know about the second ratio and leave the unknown to be solved for. We want to know how many gallons of gas, x, does he need to travel 500 miles. We put the 500 with the "mi" and the x for "gal":

and cross multiply to solve.
32x = 500 so
x = 15.6 or, to the nearest whole gallon, 16 gallons.