Answer:
Step-by-step explanation:
Corresponding angles are congruent
x² - 72 = 6x
x² - 6x - 72 = 0
Sum = -6
Product = -72
Factor = -12 , 6 {-12*6 = -72 & -12 +6 = -6}
x² + 6x - 12x -72 = 0
x(x + 6) - 12(x + 6) = 0
(x + 6)(x -12)=0 {Ignore x + 6 = 0 because angles won't be in negative}
x - 12 = 0
x = 12
Answer:
2nd choice: x=4 and x=-4
Step-by-step explanation:
x^2 - 16 = 0 can be simplified to (x-4)(x+4)=0
x-4 = 0 so x = 4
and x + 4 = 0 so x = -4
The answer is B your welcome
Answer:
Y= 3x-1
Step-by-step explanation:
You foundan the rest of the number to answer
Answer:
0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of $0.35 and a standard deviation of $0.33.
This means that
.
What is the probability that a randomly selected stock will close up $0.75 or more?
This is 1 subtracted by the p-value of Z when X = 0.75. So



has a p-value of 0.8869.
1 - 0.8869 = 0.1131
0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.