Answer:
So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.
Step-by-step explanation:
The sample size is important to find the margin of errror of a confidence interval.
The margin of error is given by a formula in the following format:
In which c is the critical value(depends on the distribution used, can be T or Z), s is the standard deviation(of the sample or the population) and n is the size of the sample.
As n increases, M decreases, which leads to a lower margin of error.
The lower the margin of error, the more precise the interval is.
So if you increase the sample size used to construct a given confidence interval, the confidence interval will be narrower, that is, more precise.
Answer:
196 degrees
Step-by-step explanation:
360-164=196 degrees
the arch CDF=2*82=164
so the arch CGF =360-164=196 degrees
1st multiply -6y by 4y=-24y^2
2nd, multiply -6y by 3=-18y
3rd, multiply -7 by 4y=-28y
4th, multiply -7 by 3=-21
5th, write all the terms in standard form: -24y^2-18y-28y-21
Combine like terms:-18y-28y=-46y
Put in standard form: -24y^2-46y-21
Final Answer: -24y^2-46y-21
Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>Rewrite in the standard form:</u>
- f(x) = - 0.0033x² + 0.84x
<u>The maximum height is the vertex with x- coordinate -b/2a, which is:</u>
- x = -0.84/2(-0.0033) ≈ 127.27
<u>The highest point is:</u>
- f(127.27) = -0.0033(127.27)² + 0.84(127.27) ≈ 53.45 m
<u>The horizontal distance the golf ball travels before hitting the ground:</u>
- f(x) = 0
- - 0.0033x² + 0.84x = 0
- 33x² - 8400x = 0
- x(33x - 8400) = 0
- x = 0- initial point
- 33x = 8400 ⇒ x = 8400/33 ≈ 254.55 m
