"Triple a number is 18." Show all work
2 answers:
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Answer:
see explanation
Step-by-step explanation:
To show f and g are inverses we require to show that
f(g(x)) = x and g(f(x)) = x
f(g(x))
= f(6x - 4)
= =
= x
-----------------------------------------------------------------------------
g(f(x))
= g( )
= ( 6 × ) - 4
= x + 4 - 4 = x
-------------------------------------------------
Hence f and g are inverses
Answer:
12.08
Step-by-step explanation:
For each sunflower, there are only two possible outcomes. Either it germinates, or it does not. The probability of a sunflower germinating is independent of other sunflowers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The standard deviation of the binomial distribution is:
Seventy-six percent of sunflower seeds will germinate into a flower
This means that
Samples of 800:
This means that
The standard deviation for the number of sunflower seeds that will germinate in such samples of size 800 is: