Answer:
78.5 inches
Step-by-step explanation:
A=(pi)r^2
divide diameter by 2 to get radius
radius = 5
3.14(5)^2 = 78.5
A relation is a function if you associate exactly one output for every input. This means that, when you choose a value for x, there must be only one correspondent value for y. This only happens in the top-right parabola.
Using the t-distribution, as we have the standard deviation for the sample, we have that the test statistic is given by:
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if there is no difference, that is:
At the alternative hypothesis, it is tested if there is a difference, that is:
<h3>What is the test statistic?</h3>
The test statistic is given by:
The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
In this problem, 
is tested at the null hypothesis, and the sample is: 20, -40, -40, 0, 20, - 60, -40, hence:
.
Hence, the test statistic is:
More can be learned about the t-distribution at brainly.com/question/16313918
Notice that
which means the series is divergent. So if this is one of those "select all that apply" questions, then both (c) and (j) are the only choices that do.
Answer:
ð/[2^(1/3)] + 1 or ð/2.26
Step-by-step explanation:
Step 1: Let the illumination be denoted as C
Let the two intensities be denoted as M and N respectively
Let the distance from point P to M be x and distance from P to N be (ð-x
Step 2:
Illumination at point P from M: Cm= kM/x^2
Illumination at point P from N: Cn= kN/(ð-x)^2
The sun of the illumination: Q=Cm+Cn = (kM/x^2) + (kN/(ð-x)^2)
Differentiate Q wrt x and equate to zero, we have
(-2kM/x^3) + [2kN/(ð-x)^3] = 0
Simplifying the above equation, we have
(ð-x)^3/x^3 = -2kN/-2kM
[(ð-x)/x]^3 = N/M
[(ð-x)/x] = (N/M)^(1/3)
ð-x = x[(N/M)^(1/3)]
ð = x[((N/M)^(1/3)) + 1]
Therefore, x = ð/[((N/M)^(1/3)) + 1]
Substitute M= ð/4 and N=ð/2 into equation above, we have
x = ð/[2^(1/3)] +1 or x = ð/2.26
