Answer:
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
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 sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.
This means 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:
0.6236*100 = 62.36%
0.8964*100 = 89.64%
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
Answer:40
Step-by-step explanation: i may be wrong but i subtracted 136 from 95 and i got 40 im sorry if it is wrong
This conjecture is false, A and C don't have to be complementary angles.
Let Angle A be 100 and Angle B be 80 degrees. They are supplementary (sum of 180).
Let Angle C be 100 and Angle B is still 80 degrees. They are supplementary.
However, Angle A and Angle C are not complementary (sum of 90).
X=-12,0
Y=-0,12 hope this helps:/
X-intercepts
f(x) = 0
4x² - 15x - 4 = 0
4x² - 16x + x - 4 = 0
4x(x - 4) + 1(x - 4) = 0
(x - 4)(4x + 1) = 0 ⇔ x - 4 = 0 or 4x + 1 = 0
x = 4 or 4x = - 1 ⇒ x = - 1/4
Answer: -1/4 and 4.