Answer:
Option (3)
Step-by-step explanation:
There are two parallel lines 'p' and 'q' and a transversal line is intersecting these lines at two distinct points.
Each pair of angles formed on the inner side of the parallel lines but opposite sides of the transversal line are the alternate interior angles.
Pair of angles (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles.
Since, alternate interior angles are equal in measure,
∠2 ≅ ∠6
∠3 ≅ ∠7
Option (3) will be the answer.
Answer:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
We assume for this case a confidence level of 95%. In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:

The confidence interval for the mean is given by the following formula:
The margin of error for the proportion interval is given by this formula:
(a)
And if we replace the values obtained we got this:
Answer:
Option A.
Step-by-step explanation:
step 1
we know that
The equation of the solid line is

The solution is the shaded area above the solid line
so
The equation of the first inequality is

step 2
The equation of the dashed line is

The solution is the shaded area above the dashed line
so
The equation of the second inequality is

therefore
The system of inequalities could be


Eight divided by two times (5 plus 5)
n/0.2=-10
Goal: Make n by itself!
Solution: We can do this by multiplying each side by -0.2
-10 * -0.2=2
I hope this helps! If you have anymore questions, please feel free to contact me!