Answer:et
m = the age of Maggie
b = the age of her brother
Maggie's brother is 3 years younger than twice her age:
b = 2m - 3
The sum of their ages is 24:
m + b = 24
by solving the system of equations:
b = 2m - 3
m + b = 24
we find
b = 15 years
m = 9 years
Step-by-step explanation:
Answer:
f[g(2)] = 50
Step-by-step explanation:
<u>Given functions:</u>
We are asked to determine f[g(2)], which is known as a composite function. When solving composite functions, you always work inside out.
Step 1: Find the value of g(2) by substituting 2 for x in function g(x).
Step 2: Substitute the found value into the composite function.
![\\\implies f[g(2)]= 2(4+1)^2](https://tex.z-dn.net/?f=%5C%5C%5Cimplies%20f%5Bg%282%29%5D%3D%202%284%2B1%29%5E2)
![\implies f[g(2)] = 2(5)^2 \Rightarrow 2(25) \Rightarrow \boxed{50}](https://tex.z-dn.net/?f=%5Cimplies%20f%5Bg%282%29%5D%20%3D%202%285%29%5E2%20%5CRightarrow%202%2825%29%20%5CRightarrow%20%5Cboxed%7B50%7D)
Hence, the value of the composite function f[g(2)] is 50.
Learn more about composite functions here:
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Ok you would have to multiply the 11 by 3 then you should get your answer of 33m.
The answer is <span>C. 50%.
The theoretical probability has nothing to do with the experiments. So, we will forget results of the experiment and think about theoretical probability. A coin has two sides - head and tail. The probability to get head is 1/2 = 0.5 = 50%. This is because if you toss the coin and you get head, head is one probability of two probability in total (head and tail). The same situation is with tail. Tail is .</span><span>one probability of two probability in total (head and tail).</span>
95% C.I. = mean + or - 1.96(standard deviation / sqrt(sample size))
95% C.I. = 57 + or - 1.96(3.5/sqrt(40) = 57 + or - 1.085 = 57 - 1.085 to 57 + 1.085 = 55.92 to 58.09
Therefore, 95% of the mean will occur in the interval 55.92 to 58.09
