A basketball player attempts 15 baskets in a game. He makes 9 of the attempted baskets. Write the value of the ratio that descri
2 answers:
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Answer:
C = 19 is the minimum value
Step-by-step explanation:
Sketch the inequalities using
4x + 3y = 29
with x- intercept = (7.25, 0) and y- intercept = (0, )
x + 2y = 11
with x- intercept = (11, 0) and y- intercept = (0. 5.5)
Solve 4x + 3y and x + 2y = 11 simultaneously to find
Point of intersection = (5, 3)
The vertices of the feasible region are
(0, ), (5, 3), (11, 0)
Evaluate the objective function C = 2x + 3y at each of the vertices
(0, ) → C = 0 + 29 = 29
(5, 3) → C = 2(5) + 3(3) = 10 + 9 = 19 ← minimum value
(11, 0) → C = 2(11) + 0 = 22
Minimum value is C = 19 when x = 5 and y = 3
Answer: 95%
Step-by-step explanation:
The Empirical rule says that about 68% of the data is within one standard deviation of the mean; about 95% of the data is within two standard deviations of the mean ; about 99.7% of the data is within three standard deviations of the mean.
Given : Sample mean :
Standard deviation:
To find the percentage of house sizes that lie between 955.7 and 1454.1 sq ft.
We can write it as
and
Thus, 955.7 is 2 standard deviations left from the means and 1454.1 is 2 deviations right from the mean.
Then by empirical rule , about 95% of house sizes that lie between 955.7 and 1454.1 sq ft .