The length of hypotenuse is 39.
Step-by-step explanation:
Given,
Vertical side = a = 15
Horizontal side = b = 36
Hypotenuse = c
Using pythagorean theorem

Taking square root on both sides

The length of hypotenuse is 39.
Keywords: square root, addition
Learn more about square roots at:
#LearnwithBrainly
Answer:
a) n = 1037.
b) n = 1026.
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 
The margin of error is:

99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
(a) Assume that nothing is known about the percentage to be estimated.
We need to find n when M = 0.04.
We dont know the percentage to be estimated, so we use
, which is when we are going to need the largest sample size.






Rounding up
n = 1037.
(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

So






Rounding up
n = 1026.
Answer:

Step-by-step explanation:
Equation of straight line is given as

where slope m is calculated as

<u>Here </u>


<u>Equation of line that passes through the points (1,6) and (5,2)</u>
<u />
<u />
Answer:
Gabriela Mistral works as a humanitarian for
days.
Step-by-step explanation:
Gabriela Mistral was a poet, diplomat, teacher and humanitarian such that each week she worked a certain amount of days as a poet diplomat teacher and humanitarian.
Ratio is 
Let
denotes total number of days Gabriela Mistral work.
As she works 12 days as a teacher,

Total number of days 
So,
she works as a humanitarian for
days.
The author rounded to the hundred thousands place.