Write the equation of the line that passes through the points (3,1) and (-2,6)
1 answer:
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Answer:
At 5% significance level, larger proportion of military personnel students protect their profiles on social-networking sites than young adults with profiles on social-networking sites.
Step-by-step explanation:
let p be the proportion of military personnel students who restrict access to their profiles. Then null and alternative hypotheses are:
: p=0.67 (67%)
: p>0.67
We need to calculate z-statistic of sample proportion:
z= where
- p(s) is the sample proportion of military students who restrict access to their profiles (
=0.78)
- p is the proportion assumed under null hypothesis. (0.67)
- N is the sample size (100)
Then z= ≈ 2.34
The corresponding p-value is 0.0096. Since 0.0096<0.05 (significance level) we can reject the null hypothesis and conclude at 5% significance level that larger proportion of military personnel students protect their profiles on social-networking sites than young adults with profiles on social-networking sites.
Answer:
The area of the shaded region is about 38.1 square centimeters.
Step-by-step explanation:
We want to find the area of the shaded region.
To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.
The given circle has a radius of 6 cm.
And the given sector has a central angle of 150°.
The area for a sector is given by the formula:
In this case, r = 6 and θ = 150°. Hence, the area of the sector is:
Now, we can find the area of the triangle. We can use an alternative formula:
Where a and b are the side lengths, and C is the angle between them.
Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.
And the angle C is 150°. Hence, the area of the triangle is:
The area of the shaded region is equivalent to the sector minus the triangle:
Therefore:
Use a calculator:
The area of the shaded region is about 38.1 square centimeters.