Use the rules of logarithms and the rules of exponents.
... ln(ab) = ln(a) + ln(b)
... e^ln(a) = a
... (a^b)·(a^c) = a^(b+c)
_____
1) Use the second rule and take the antilog.
... e^ln(x) = x = e^(5.6 + ln(7.5))
... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents
... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms
... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)
2) Similar to the previous problem, except base-10 logs are involved.
... x = 10^(5.6 -log(7.5)) . . . . . take the antilog. Could evaluate now.
... = (1/7.5)·10^5.6 . . . . . . . . . . of course, 10^(-log(7.5)) = 7.5^-1 = 1/7.5
... x ≈ 53,080.96
Answer:
16
Step-by-step explanation:
The existence of the constant rate of change is given the ratio of y to x is the same. Then:
In consequence, the constant rate of change is 16.
Given that the player made 184 out of 329 throws, the probability of making the next throw will be:
P(x)=[Number of shots made]/[Total number of throws]
=184/329
=0.559
Thus the expected value of proposition will be:
0.599*24+0.559*12
=20.134
Answer:
Step-by-step explanation:
I think you made a typo. g(x) should equal x - 2 not x - 22
g(x) = x - 2
g(-1) = -1 - 2
g(-1) = - 3
The answer is d. Otherwise there is no answer.
