Answer:
59 ° F
Step-by-step explanation:
F = 9/5 C + 32
= 9/5 (15) + 32 = 59 ° F
Answer:
B = 48
Step-by-step explanation:
You are given that the two vertical lines are parallel. That means that the alternate interior angles are equal (they form a Z shape).
So the given is that A = B
A = 5x - 12
B = 2x + 24
Solution
5x - 12 = 2x + 24
5x - 12 = 2x + 24 + 12
5x = 2x + 36
5x - 2x = 36
3x = 36
x = 36/3
x = 12
================
B is
B = 2x + 24
B = 2*12 + 24
B = 24 + 24
B = 48
Answer:
d = 80 ft
Step-by-step explanation:
Start with angle BCA, tan(BCA) = 30/15 so BCA = 63.43 degrees.
BCA = ECD since they are opposite angles.
tan ECD = d/40
40 tan(63.4degrees) = d
d = 80 ft
Alternatively, you can use similar triangles since the angles are the same, BCA = ECD, CED = CAB, and CBA = EDC. In that case use proportions to get 30/15 = d/40 so 2 = d/40 and d = 80.
Answer:
The 99% confidence interval for the proportion of athletes who graduate is (0.5309, 0.7323).
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
.
For this problem, we have that:

99% 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 99% confidence interval for the proportion of athletes who graduate is (0.5309, 0.7323).