Answer with Step-by-step explanation:
We are given that


a.We have to find g(f(x))


b.We can see that
f(x) is logarithm function and g(x) is linear function.
But , the composition function gof(x) is also logarithmic function.
The composition function gof(x) is 3 times the function f(x).
Answer: 168cm^2
Step-by-step explanation:
lets split this into two shapes:
a rectangle and a triangle
Formulas:
rect: b * h
Tri: (b*h)/2
Solve:
12 * 10 = 120
(12*8)/2 = 48
120 + 48 =
168cm^2
Answer:
The answer is below
Step-by-step explanation:
a) Given that the number of sample (n) = 300, therefore since n > 30, the distribution of the sample means is going to be normally distributed.
b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.

c) The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:

<span>d = miles from the airport to home.
2.1*d+5=49.10 solve for d
d=</span>49.10-5/2.1 = 21 miles
Step-by-step explanation:
Let's take cost of 1 hamburger as h and the cost of 1 hot dog as d.
Therefore, we can form the equations:
3h + 2d = 13 and
2h + 4d = 14
2(h +2d) = 14
h + 2d = 7
h = 7 - 2d
By substituting this to the first equation, we get:
3(7 - 2d) + 2d = 13
21 - 4d = 13
4d = 8
d = $2
h = 7 - 2(2)
h = $3
Hence <u>1 hot dog costs $2</u> and <u>1 hamburger costs $3</u>