Answer:
The probability is: 0.8889.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Approved
Event B: Qualified
Probability of a person being approved:
80% of 75%(qualified)
30% of 25%(not qualified). So

Probability of a person being approved and being qualified:
80% of 75%, so:

Find the probability that a person is qualified if he or she was approved by the manager.

The probability is: 0.8889.
4x² - 100 = 0
<u> + 100 + 100</u>
<u> 4x²</u> = <u>100</u>
4 4
x² = 25
x = <u>+</u>5
4(5)² - 100 = 0
4(25) - 100 = 0
100 - 100 = 0
0 = 0
4(-5)² - 100 = 0
4(25) - 100 = 0
100 - 100 = 0
0 = 0
The roots of the equation is positive or negative 5.
Answer:
See below
Step-by-step explanation:
The solution choices all agree that x = 1±√2. The second equation tells you ...
y = ±2√(x+2)
so the sign of the √2 term in x is the same as the sign of the √2 term in y. The answer choices circled in red are the ones that meet this requirement.