Answer:
x = 12.489996 ft
Step-by-step explanation:
In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.
The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.
Basically:

Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:


Then plug in the values:

Given Information:
Population size = n = 300
standard deviation = σ = 15
confidence level = 99%
Required Information:
Margin of error = ?
Step-by-step explanation:
The margin of error is a measure of the effectiveness of your survey.
Margin of error = z*(σ/√n)
z-score corresponding to 99% confidence level = 2.58
Margin of error = ±2.58*(15/√300)
Margin of error = ±2.58*(0.866)
Margin of error = ±2.23
Hence the correct option is C ±2.23
Answer: 0.0228
Step-by-step explanation:
Given : 

Since , the distribution follows a Normal distribution .
The formula to calculate the z-score is given by :-

For x=17.5 oz

The p-value = 
Hence, the required probability : 0.0228
Answer = 700000
I hope this helps.
In a cyclic quadrilateral, the opposite angles add up to 180 degrees.
Opposite angle to angle A = Angle D.
A + D = 180
64 + D = 180
D = 180 - 64
D = 116°
Option E.