Suppose a toy rocket is launched vertically upward from the top of a building with an initial velocity of 128 feet per second. i
f air resistance is ignored, the rocket's h height after t seconds is given by the equation h = −16t2 +128t + 100. How long will the rocket's flight last? (to the nearest tenth of a second) A) 7.6 seconds B) 7.9 seconds C) 8.7 seconds D) 9.3 seconds
1 answer:
Answer:
Option C)
t = 8.7 s
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The projectile formula is
h(t) = a*t^2 + v*t + h0
Where,
v = initial vertical velocity of the rocket in feet per second
h0 = initial height of the rocket in feet
h(t) = −16t^2 +128t + 100
If we look at the graph, we can find the point in which the height becomes zero. The value for t at this point will represent the rocket's fight duration
For this problem,
t = 8.717 s
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Answer:
(E) The bias will decrease and the variance will decrease.
Step-by-step explanation:
Given that researchers working the mean weight of a random sample of 800 carry-on bags to e the airline.
We have to find out the effect of increasing the sample size on variance and bias.
We know as per central limit theorem, sample mean follows a normal distribution with mean = sample mean
and std deviation of sample mean = std error =
Thus std error the square root of variance is inversely proportional to the square root of sample size.
Also whenever we increase sample size the chances of bias would decrease as the sample size becomes larger
So correct answer is both bias and variation will decrease.
(E) The bias will decrease and the variance will decrease.