Answer:
Step by Step
This is probably the most difficult problem in elementary Geometry. I stopped counting after about 20 steps. The trick is to follow a very carefully constructed diagram which looks simple enough until you start using it.
Givens
- Triangle ABC with 2 equal sides AB and AC.
- BC is the third side and is not equal to either of the other 2.
9514 1404 393
Answer:
49°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
∠A +∠B +∠C = 180
(x +32) +(x +41) +(3x +22) = 180 . . . . angles assumed to be in degrees
5x +95 = 180
5x = 85
x = 17
x +32 = 49 . . . . measure of ∠A
Answer:
m=-32
Step-by-step explanation:
-2=m/16
-2×16=m
-32=m
m=-32
Answer: The lower bound of confidence interval would be 0.116.
Step-by-step explanation:
Since we have given that
p = 13.2%= 0.132
n = 1105
At 90% confidence,
z = 1.645
So, Margin of error would be
So, the lower bound of the confidence interval would be
Hence, the lower bound of confidence interval would be 0.116.
Answer: the probability that the number x of correct answers is fewer than 4 is 0.61
Step-by-step explanation:
Let x be a random variable representing the answers to the SAT questions. This is a binomial distribution since the outcomes are two ways. It is either the answer is correct or incorrect. Also, the probability of success or failure is constant for each trial. The probability of success, p = 0.35
The probability of failure, q would be 1 - p = 1 - 0.35 = 0.65
We want to determine P(x < 4)
n = number of trial = 9
x = 4
From the binomial distribution calculator,
P(x < 4) = 0.61
