Answer:
18.05 g
Step-by-step explanation:
The multiplier of the initial quantity is ...
(1/2)^(t/1690)
so, for t=250, this becomes ...
(1/2)^(250/1690) ≈ 0.902545
Then the quantity remaining of the initial 20 g is ...
(20 g)(0.902545) ≈ 18.05 g
You know that you have the Opposite side and the Adjacent side. therefore you would use Tangent (T= O/A)
because you are finding the angle you would go Tan^-1(12÷20) =31°
it is 12÷20 because O/A and the 12 is the opposite side therefore It would be O and 20 is the adjacent side therefore equaling 20 so O/A = 12/20
Your answer is 31°
If the number k is greater than 3, we have the following inequality:

In order to evaluate k/3, let's divide the inequality by 3:

So the expression k/3 is greater than 1, therefore the correct option is D.
Answer:
The percent of the people who tested positive actually have the disease is 38.64%.
Step-by-step explanation:
Denote the events as follows:
<em>X</em> = a person has the disease
<em>P</em> = the test result is positive
<em>N</em> = the test result is negative
Given:

Compute the value of P (P|X) as follows:

Compute the probability of a positive test result as follows:

Compute the probability of a person having the disease given that he/she was tested positive as follows:

The percentage of people having the disease given that he/she was tested positive is, 0.3864 × 100 = 38.64%.