Answer:
see below
Step-by-step explanation:
The exponent rules that apply are ...
(a^b)(a^c) = a^(b+c)
a^-b = (1/a)^b
(a^b)^c = a^(b·c)
_____
These let you rewrite the given function as ...
f(x) = (3^(2x))(3^1) = 3(3^(2x)) = 3(3^2)^x = 3·9^x
and
f(x) = 3^(2x+1) = (3^-1)^(-(2x+1)) = (1/3)^-(2x+1)
The answer to your question is y=1
Answer:
0.36878
Step-by-step explanation:
Given that:
Mean number of miles (m) = 2135 miles
Variance = 145924
Sample size (n) = 40
Standard deviation (s) = √variance = √145924 = 382
probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles
P( 2135 - 29 < z < 2135 + 29)
Z = (x - m) / s /√n
Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]
Z = (- 29 / 60.399503) < z < (29 / 60.399503)
Z = - 0.4801364 < z < 0.4801364
P(Z < - 0.48) = 0.31561
P(Z < - 0.48) = 0.68439
P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878
= 0.36878
Answer:
15
Step-by-step explanation:
determine the numerical length of AC
We know that Ac is equaled to ab and bc because they are the segements between ac
3x 4x+8
A-----------------------------B----------------------------------C
|<----------------------------5x+10 --------------------------->|
AB + BC = AC
solving for x
3x + 4X + 8 = 5X + 10
3x+4x-5x= 10-8
2x=2
x=1
Now sub that in for ac
AC= 5x +10
AC= 5(1) +10
AC= 5 +10
AC = 15
Answer: 8, 9, and 10
Step-by-step explanation: whatever value m is must be less than 18
