A^2 + 5^2 = 10^2
a^2 + 25 = 100
a^2 = 100-25
a^2 = 75
a = sqrt(75) = 5sqrt(3)
answer is A
Answer: the system of equations are
x + y = 35
3x + 2y = 100
Step-by-step explanation:
Let x= the number of short answer questions.
Let y= the number of multiple choice questions.
Noah wants 35 questions on the exam. This means that
x + y = 35
He plans to mix short answer questions, worth 3 points, with multiple choice questions worth 2 points. This means that x short answer questions will give 3x points and y multiple choice questions will give 2y points
Since the exam is worth 100 points, then,
3x + 2y = 100 - - - - - - - -1
Substituting x = 35 - y into equation 1, it becomes
3(35 - y) + 2y = 100
105 - 3y + 2y = 100
y = 105 - 100 = 5
x = 35 - y = 35 - 5
x = 30
Answer:
NO
Step-by-step
No. 38 inches can't fit in 35 inch long box.
Answer:
This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.
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 width of the interval is:

In this sample:
Two 90% intervals, with different lenghts. So both have the same values for z an 
Interval A:
9000 viewers.
So the width is

Interval B:
100 viewers
So the width is

Relationship between the widths:

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.
Answer:
Me :3
Step-by-step explanation: