The function f(t)=−16t2+88t+12 represents the height (in feet) of a pumpkin t seconds after it is launched from a catapult. when
1 answer:
Answer:
2.75 seconds and 133 feet
Step-by-step explanation:
We require to find the coordinates of the vertex of the parabola
the t coordinate ( time ) for a quadratic in standard form is
= -
with a = - 16 and b = 88
t = - = 2.75 seconds ← time taken to reach max
to find the max height evaluate f(2.75 )
f(2.75 ) = - 16( 2.75)² + 88(2.75) + 12 = - 121 + 242 + 12 = 133 feet
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Answer: The critical value of the test is 2.807.
Step-by-step explanation:
Since we have given that
n = 24
So, the degree of freedom v = n-1 = 24 - 1=23
Since, n>30, so we will use 't-test'.
Here, α = 0.01
so, According to t-table, we get that
If we take α, then we are taking about two tail test.
If we take then we are talking about one tail test.
But in both the cases, the result will be same.
Hence, the critical value of the test is 2.807.