Answer:
Step-by-step explanation:
If two vertices of your triangle touch the circle and the third angle (a right angle located at the center) then x + y + 90 degrees = 180 degrees, or
x + y = 90 degrees.
Answer:
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Step-by-step explanation:
Answer:
There is not evidence that the population mean waiting time is different from 3.9 minutes.
Step-by-step explanation:
From the question we know that the size (n), the mean (x) and the standard deviation (s) of the sample are 81, 4.05 minutes and 0.9 minutes. Additionally, we are going to decide if the waiting time is different or not form 3.9 minutes, so the null and alternative hypotheses are:
H0: m=3.9
H1: m≠3.9
Where m is the mean of the population.
Then, <em>we don't need to be concerned about the shape of the population distribution because the value of the n is bigger than 30</em> and we can use the statistic z as:
So, replacing the values, the test statistic is:
On the other hand, the p value for this test is calculated as:
p value = 2P(z>1.50) = 2(0.0668) = 0.134
Taking into account that the p value is bigger than the level of significance 0.01, the null hypothesis is not reject, and there is not evidence that the population mean waiting time is different from 3.9 minutes.
Answer:
Step-by-step explanation:
A function is one-to-one if it passes the horizontal line test. This is the case if a horizontal line intersects the graph in only one place.
The graph of f(x) = x^2 - 5 is that of a parabola that opens upward. There are several possibilities here:
1. The horizontal line intersects the parabolic graph twice on the interval (-infinity,+infinity). Therefore this function is not one-to-one on this interval
(-infinity,+infinity).
2. If we define the domain as [0,+infinity), a horizontal line will intersect this parabolic graph only once. Therefore this function is one-to-one on [0,+infinity).
C, A, and B are all in the range. That's why you can say it's D. The range is -2≤n≤4. 5 does not work.