Answer:
Step-by-step explanation:
<u>Geometric Mean Theorem - Altitude Rule</u>
The <u>altitude</u> drawn from the vertex of the right angle perpendicular to the hypotenuse separates the <u>hypotenuse</u> into <u>two segments</u>. The ratio of one segment to the altitude is equal to the ratio of the altitude to the other segment:
From inspection of the given diagram:
- altitude = FD = 9
- segment 1 = CD = 5
- segment 2 = DE =
Substitute the found value of x into the expression for DE:
Answer:
Step-by-step explanation:
Note that 80% is 8 times 10%.
Thus, we could start with "If 10% of a number is 7" and multiply both quantities by 8: "80% of a number is 56."
Think:
10% of a number is 7,
20% is 14,
50% is 35,
70% is 49, and
80% is 56.
Answer:
the events of using Brand Z computers and quitting your job are independent.
Step-by-step explanation:
Let A be the event that the population used Brand Z computers and let B be the event that the population quit their jobs.
We are told that 50% of the population used Brand Z computers last year. Thus, the probability of event A is;
P(A) = 50% = 0.5
Also, we are told that 4% of the population quit their jobs last year. Thus the probability of event B is;
P(B) = 4% = 0.04
Since 2% of the population used Brand Z computers and then quit their jobs. Then the probability of the population used Brand Z computers and then quit their jobs is;
P(A ∩ B) = 2% = 0.02
From the law of independent events, if A and B are to be independent events, then;
P(A ∩ B) = P(A) × P(B)
Thus;
P(A ∩ B) = 0.5 × 0.04 = 0.02
This is same value as what was given in the question, thus the events of using Brand Z computers and quitting your job are independent.
Answer:
4th option
Step-by-step explanation:
6/sin(65) = 5/sin(x)
or, 6×sin(x) = 5×sin(65)
or, sin(x) = 5×sin(65)/6
or, x = arcsin(5×sin(65)/6)
