At a basketball game, a team made 57 successful shots. They were a combination of 1- and 2-point shots. The team scored 99 po
ints in all. Write and solve a system of equations to find the number of each type of shot. 40 POINTS
1 answer:
Answer:
The number of 1-point shots is 15 and the the number of 2-point shots is 42
Step-by-step explanation:
Let
x ----> the number of 1-point shots
y ----> the number of 2-point shots
we know that
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The intersection point is (15,42)
see the attached figure
therefore
The number of 1-point shots is 15 and the the number of 2-point shots is 42
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Answer:
0.1151 = 11.51% probability of completing the project over 20 days.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Expected completion time of the project = 22 days.
Variance of project completion time = 2.77
This means that
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:
has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.