Answer:
b. 0.38.
Step-by-step explanation:
You either win a prize or you don't. There are only 2 possibilities so the probability of not winning a prize = 1 - 0.62 = 0.38.
Answer:

Step-by-step explanation:
Given that:
f(x) approaches 150, and
g(x) approaches 0, with g(x) < 0,
as x approaches 3.
This means:

We need to evaluate:

Distributing the limit to numerator and denominator, we get:

The expression will result in infinity as the answer, but since, g(x) < 0, this means g(x) is approaching 0 from the negative side. As a result, the expression 150/0 will approach negative infinity as x will approach 3.
Therefore, we can conclude:

If the half-life is t, then every t days, the amount of the radioactive isotope will be cut in half.
(1/2)^(number of half-lives) = 3%
number of half-lives = ln(0.03) / ln(0.5)
This gives the number of half-lives as 5.06.
Then 300 days = (5.06)(length of 1 half-life)
length of 1 half-life = 300 / 5.06 = 59.29 days
(x-4)/10=7/5
x-4=70/5
x-4=14
x=18
here you go, practice it once or twice. good luck
If we collect like terms of the first equation, we can simplify to
2x - 8 = 180
If we add 8 to both sides, we get
2x = 188
And that means x = 94
If we substitute this into the second equation, we get
7(94) - 8 = ?
7 x 94 is equal to 658
658 - 8 = 650