Answer:
1. g(3) = 1
2. (f + g)(2) = f(2) + g(2) = 2 + 3 = 5
3. f(g(4)) = 2
4. g(f(4)) = 1
5. f(f(4)) = 2
6. g(g(2)) = 1
7. base on the chart, the value 3 of g(x) can be gain only for x = 0
For this case we have the following function:

By the time the stone is thrown, x = 0.
We must evaluate this value of x in the function.
We have then:
Answer:
The height of the stone at the time is thrown is given by:
h (0) = 15 meters
Answer: 5 green buckets and 3 white buckets
Step-by-step explanation: each green bucket is 7 liters so if Austin buys 5 of them that'll equal 35 liters already. And each white bucket is 1 liter so if he buys 3 of those that'll get him to 38
Answer:
Jana had 8 oranges, and Jordan had 15 oranges.
Step-by-step explanation:
First, identify what you know:
1) In total, Jana and Jordan had 23 oranges.
2) Jana had 7 less oranges than Jordan.
We can create a formula, where x equals the number of oranges Jana has.
23 = x + (x + 7)
16 = x + x (subtracted 7 from both sides)
x = 8 (divided both sides by 2)
So, now we know Jana had 8 oranges, which is 7 less than Jordan.
8 + 7 = ?
? = 15
Jana had 8 oranges, while Jordan had 15, for a total of 23 oranges.
Answer: 0.0885
Step-by-step explanation:
Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.
i.e. p= 0.16
Sample size : n= 154
Now, the probability that more than 20% of this sample is comprised of female employees is given by :-

[∵
]
[Using the standard z-value table]
Hence, the required probability = 0.0885