Answer:
15.62
Step-by-step explanation:
The Pythagorean theorem tells you the relation between the side lengths is ...
x^2 = 12^2 + 10^2 . . . the sum of squares of sides is the square of the hypotenuse
x^2 = 244
x = √244 ≈ 15.62
Answer:
The 99% confidence interval for p in this case is (0.3317, 0.5883).
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
.
Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.
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:

The 99% confidence interval for p in this case is (0.3317, 0.5883).
7/12 as a decimal is 0.583333333
or 0.59
Hope this helps ;)
Since 20 is a factor of 40, the least common denominator of 3/20 and 9/40 is 40.
Answer:
16
Step-by-step explanation:
Lets assume x is Elgas' age
And y is Alvins age
we know that alvin is 11 years younger than Elga which means,
x=y+11
and the sum of their age is 43
x+y=43
solve it and you get 16