Answer:do it yo self
Step-by-step explanation: get yo daam calculator and do it
<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
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Explanation:
The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).
Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.
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The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...
g(x) = m*f(x) + n
g(x) = m*c + n
All we're doing is replacing f with c.
So that means mc+n is the starting point of the range for g(x).
The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.
Answer:
We conclude that the machine is under filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 436.0 gram
Sample mean, 
= 429.0 grams
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 23.0 grams
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.
Answer:
-3/4
Step-by-step explanation:
To find the slope, plug the coordinates into the slope formula.
y2 - y1 / x2 - x1
4 - (-2) / -7 - 1
6 / - 8
-3/4
Answer:
In 37 years the population will be 125,012
Step-by-step explanation:
Giving the following information:
Initial population (PV)= 67,000
Growth rate (g)= 1.7%= 0.017
Number of years (n)= 37
<u>First, we will establish the future value (FV) formula:</u>
FV= PV*(1+i)^n
FV= 67,000*(1.017^n)
<u>Now, for 37 years:</u>
FV= 67,000*(1.017^37)
FV= 125,012
In 37 years the population will be 125,012
