Point A(3,2) is on a circle whose center is C(−2,3). What is the radius of the circle?
1 answer:
Answer:
The radius of the circle is √26.
Step-by-step explanation:
Since point A is on the circle, the distance between that point and the center of the circle is equal to the radius.
To find the distance between two points, the following equation should be used:
Replacing the numeric values:
The radius of the circle is √26.
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Answer:
The most appropriate value of the critical value is 2.289.
Step-by-step explanation:
We are given that a researcher takes a random sample of 41 bulbs and determines that the mean consumption is 1.3 watts per hour with a standard deviation of 0.7.
We have to find that when constructing a 97% confidence interval, which would be the most appropriate value of the critical value.
Firstly, as we know that the test statistics that would be used here is t-test statistics because we don't know about the population standard deviation.
So, for finding the critical value we will look for t table at (41 - 1 = 40) degrees of freedom at the level of significance will be .
Now, as we can see that in the t table the critical values for P = 1.5% are not given, so we will interpolate between P = 2.5% and P = 1%, i.e;
So, the critical value at a 1.5% significance level is 2.289.