Answer:
(C)Determine the principal square root of both sides of the equation.
Step-by-step explanation:
Given: Isosceles right triangle XYZ (45°–45°–90° triangle)
To Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.
Proof:
Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem,
Since a=b in an isosceles triangle:
Therefore, the next step is to Determine the principal square root of both sides of the equation.
Multiplying by 2 and dividing by 3 since in that expression to simplify it you could just put 18 on the numerator multiplying by two
Answer:
99% Confidence interval: (0.0375,0.2099)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 97
Number of left handed, x = 12
99% Confidence interval:
Putting the values, we get:
The required confidence interval is (0.0375,0.2099).
There are really only 2 possible outcomes when flipping a coin: it lands heads up or tails up. So, if all possible outcomes' probability equals 100%, we can assume both are 50% likely.
Because of this, the theoretical probability that the coin will land tails up is 50%
Additionally, if 50% (or 1/2) of 250 people win (by landing tails up), you can simply divide by 2 to get that number of people: 125
Hope this helps :)