Fraction of hour was spent by NAncy in lifting weights
Step-by-step explanation:
Time spent at the gym by Nancy = 
Time spent at lifting weights = 
What fraction of hour she spent in lifting weights?
Solving:
Fraction of hour she spent in lifting weights= Time spend at the gym-Time spent at lifting weights
Fraction of hour she spent in lifting weights=

So,
Fraction of hour was spent by Nancy in lifting weights
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Answer: Varies
Step-by-step explanation:
There would still be some Xs and Ys.
Answer:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Step-by-step explanation:
For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A certain performer has an independent .04 probability of a crash in each race.
This means that 
a) What is the probability she will have her first crash within the first 30 races she runs this season
This is:

When 
We have that:



0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
If you estimate
7 times 7=49 so the square root of 46 is less than 7
6 times 6= 36 so the square root of 46 is more than 6
so if you do it on a calculator the answer is 6.78
Answer:
Step-by-step explanation:
We have to first find the vertices of the feasible region before we can determine the max value of P(x, y). We will graph all 4 of those inequalities in a coordinate plane and when we do that we find that the region of feasibility is bordered by the vertices (0, 0), (0, 1), (2, 3), and (5, 0). Filling each x and y value into our function will give us the max value of that function.
Obviously, when we sub in (0, 0). we get that P(x, y) = 0.
When we sub in (0, 1) we get 24(0) + 30(1) = 30.
When we sub in (2, 3) we get 24(2) + 30(3) = 138.
When we sub in (5, 0) we get 24(5) + 30(0) = 120.
Obviously, the vertex of (2, 3) maximized our function for a value of 138.