Answer:
Quadrilateral ABCD is inscribed in a circle, then
A + C = 180
=> 2x + 9 + 3x + 1 = 180
=> 5x = 170
=> x = 34
=> A = 2 x 34 + 9 = 77 deg
Hope this helps!
:)
Answer: B) Adjacent interior angle
As the name implies, the angle is inside the triangle and it is adjacent (ie next to) the exterior angle. Contrast this with a remote interior angle, which is also inside the triangle, but it is not adjacent to the exterior angle in question. Alternate interior angles won't apply here because we don't have a set of parallel lines with a transversal cut.
Answer:
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
This means that 
68% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
Answer:
i believe A
Step-by-step explanation:
Answer: 8
Step-by-step explanation:
Let mammals be represented by y
There are three more reptiles than mammals in the habitat. Therefore, Reptiles = y + 3
There are seven fewer amphibians than mammals in the habitat. Therefore, amphibian = y - 7
y + y + 3 + y - 7 = 41
3y - 4 = 41
3y = 41 + 4
3y = 45
y = 45/3
y = 15
Since amphibian = y - 7
= 15 - 7
= 8
There are 8 amphibians