Answer:
probability = area of shaded region / total area
P = π (y²-x²) /πy²
P = y²-x²/y²
Option D is correct ...
mark me as brainliest ❤️
Answer:
There is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
Step-by-step explanation:
The null hypothesis is:

The alternate hypotesis is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
A researcher used the technique with 260 students and observed that they had a mean of 94 hours. Assume the standard deviation is known to be 6.
This means, respectively, that 
The test-statistic is:



The pvalue is:
2(P(Z < -2.69))
P(Z < -2.69) is the pvalue of Z when X = -2.69, which looking at the z-table, is 0.0036
2*(0.0036) = 0.0072
0.0072 < 0.01, which means that the null hypothesis is accepted, that is, there is not sufficient evidence to support the claim that the technique performs differently than the traditional method.
Answer:
15965
Step-by-step explanation:
a=18395
d= -270 (lost inhabitants every year)
n=10
tn=?
We know that,
tn= a+(n-1)×d
=18395+(10-1)×(-270)
=18395+9×(-270)
= 18395 -2430
=15965
Hence,the present population of small town is 15965.
4[3 * (-2) + 7] / [4 + (-2)]
= 4(-6 + 7) / (2)
= 4(1) / 2
= 4/2
= 2
Answer is B. 2
Solution: y=2x-11
Step by step solution:
f(x)=(x+1)2-7
f(x)=2x+2-7
f(x)=2x-5
y=2x-5
When it’s translated 3 to the right the y intercept is 3 less if the slope is 1, but since the slope is 2 there the difference is 6, so the y intercept is 6 less than it was before
y=2x-11