Answer:
5 seconds
Step-by-step explanation:
Looking at your function (h(t) = -16t^2 + 48t + 160), I see that the peak height will be 196 feet, and that is achieved in 1.5 seconds.
h(1.5) = -16(1.5)^2 + 48(1.5) + 160
h(1.5) = -16(2.25)+ 48(1.5) + 160
h(1.5) = -36 + 48(1.5) + 160
h(1.5) = -36 + 72 + 160
h(1.5) = 36 + 160
h(1.5) = 196
Going down from that height, it would take 3.5 more seconds, so it would take 5 seconds in total
h(5) = -16(5)^2 + 48(5) + 160
h(5) = -16(25) + 48(5) + 160
h(5) = -400 + 48(5) + 160
h(5) = -400 + 240 + 160
h(5) = -400 + 400
h(5) = 0
(-4,0) (-3,3) (-1,0) (0,-3) (1,-5) (3,0)
So, domain numbers are -4, -3, -1, 0, 1, 3
Range are 0, 3, -3,-5,
Just take the ordered pairs and the Xs is the domain and the Ys are the range
Answer: ( 8.11 , 9.69)
the 95% confidence interval of the true mean weight
= ( 8.11 , 9.69)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 8.9
Standard deviation r = 0.9
Number of samples n = 5
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
8.9+/-1.96(0.9/√5)
8.9+/-1.96(0.4025)
8.9+/- 0.79
= ( 8.11 , 9.69)
Therefore at 95% confidence interval (a,b) = ( 8.11 , 9.69)
