The ball reaches its maximum height after 3.5 seconds, and the maximum height is 61.025 meters.
Find the value of y.
1 answer:
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The ball reaches its maximum height after 3.5 seconds, and the maximum height is 61.025 meters.
Answer:
Step-by-step explanation:
Given that,
A line 7x - 3y = 68 and containing the point (8, -8).
The equation can be written as :
The slope is :7/3
Line is perpendicular so use m = –3/7
So, required equation is :
We first need to determine whether we are dealing with means or proportions in this problem. Since we are given the sample and population mean, we know that we are dealing with means.
Since we have one sample mean, this means we are creating a confidence interval for one sample (1 Samp T Int).
Normally we would check for conditions, but since this is not formulated as a "real-world scenario" type problem, it is hard to check for randomness and independence. Therefore, I will be excluding conditions from this answer.
<h3>Confidence Interval Formula</h3>The formula for constructing a <u>confidence interval for means</u> is as follows:
We are given these variables:
Plug these values into the formula for the confidence interval:
In order to find t*, we can use this formula:
Calculating the z-score associated with "A" will give us t*.
So, let's plug in the confidence interval 95% (.95) into the formula:
Use your calculator or a t-table to find the z-score associated with this area under the curve.. you should get:
Now, let's finish the confidence interval we created:
We can calculate the confidence interval, using this formula, to be:
We are 95% confident that the true population mean μ lies between <u>47.4697 and 52.5303</u>.
Simplifying h(x) gives
h(x) = (x² - 3x - 4) / (x + 2)
h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)
h(x) = ((x + 2)² - 7x - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)
h(x) = (x + 2) - 7 - 22/(x + 2)
h(x) = x - 5 - 22/(x + 2)
An oblique asymptote of h(x) is a linear function p(x) = ax + b such that
In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.