John plays basketball at the local gym. The gym charges a monthly membership fee of $15.00, plus each player pays $2.50 per game
to pay for the cost of referees. John wants to spend less than $55 on basketball this month.
2 answers:
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Answer:
b. quadruple the sample size.
Step-by-step explanation:
Given that a 95% confidence is given by (15,20) .
this implies that mean = average of lower and higher bounds of confidence interval =
Margin of error = Upper bound - Mean =
Confidence level = 95%
Critical value = 1.96
Std error =
Std devition = Std error * sqrt n = 6.3775
If we want to reduce margin of error by half we must get margin of error as 1.25
For that std error for same critical value = 0.63775
Std deviation did not change
So sample size only changed which implies that sample size is 4 times the original
b. quadruple the sample size.
Step-by-step explanation:
Remember that in a linear function of the form ,
is the slope and
is the why intercept.
Part A. Since , its slope is 2 and its y-intercept is 6
Now, to find the slope of we are using the slope formula:
where
is the slope
are the coordinates of the first point
are the coordinates of the second point
From the table the first point is (-1, -12) and the second point is (0, -6)
Replacing values:
The slope of f(x) is bigger than the slope of g(x), which means the line represented by f(x) is stepper than the line represented by g(x).
Part B. To find the y-intercept of f(x) we are taking advantage of the fact that the y-intercept of a linear function occurs when x = 0, so we just need to look in the table for the value of f(x) when x = 0. From the table when
; therefore the y-intercept of
is -6.
We already know that the y-intercept of g(x) is 2. Since 2 is bigger than -6, function g(x) has a greater y-intercept.