Plsssss helpp in the next 2 min gives 10 points
2 answers:
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Answer:
The correct answer is
(0.0128, 0.0532)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval
, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of
For this problem, we have that:
In a random sample of 300 circuits, 10 are defective. This means that and
Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.
So = 0.05, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The correct answer is
(0.0128, 0.0532)
Answer:
(a) The time the T-shirt takes to maximum height is 2 seconds
(b) The maximum height is 68 ft
(c) The range of the function that models the height of the T-shirt over time given above is
Step-by-step explanation:
Here, we note that the general equation representing the height of the T-shirt as a function of time is
Where:
h = Height reached by T-shirt
t = Time of flight
u = Initial velocity = 64 ft/s
g = Acceleration due to gravity (negative because upward against gravity) = 32 ft/s²
h₁ = Initial height of T-shirt = 4 ft
(a) The maximum height can be found from the time to maximum height given as
v = u - gt
Where:
u = Initial velocity = 64 ft/s
v = Final upward velocity at maximum height = 0 m/s
g = 32 ft/s²
Therefore,
0 = 64 - 32·t
32·t = 64 and
t = 64/32 = 2 seconds
(b) Therefore, maximum height is then
∴ h = 68 ft
The T-shirt is then caught 41 ft above the court on its way down
(c) The range of the function that models the height of the T-shirt over time given above is derived as
With u = 64 ft/s
g = 32 ft/s² and
h₁ = 4 ft
The equation becomes
.