Answer:
See attached
Step-by-step explanation:
<em>All answers in one graph, refer to attached</em>
<u>The function we need is</u>
- C(x) = 100(2*5280 - x) + 180
, where 2*5280= 2 miles
Table included as well
The vertex is about x = 19 ft which corresponds the minimum cost
Any other value, including negative reveal greater cost
- <u><em>Note. there is a bit confusion over 2 miles or 2000 ft, but the graph is going to be same in shape and vertex for x, the value for cost will be different</em></u>
We want to combine b(t) and t(h) to create a function that described the number of bacteria, b, as a function of time, h.
This function can be called b(t(h)), or b(h).
Consider the function b(t), or bacteria as a function of temperature.
b(t) = 20t² - 70t +300
This describes the number of bacteria, given the temperature.
t(h) described the temperature as a function of time, specifically hours after refrigeration:
t(h) = 2h + 3
Since the time h can tell us the temperature t, and the temperature t can tell us the # of bacteria b, we can create a function that tells us the number of bacteria, b, given hours following refrigeration, h.
To do this, we plug t(h) in for every t in the b(t) function:
b(t(h)) = 20 (2h+3)² - 70(2h+3) + 300
We can also call this function b(h), since we now can express b as a function of h.
Simplify the function:
b(h) = 20 (4h²+12h+9)-14h-210+300
b(h) = 80h² +100h +270
The Answer is B
Please consider the graph.
We have been given that graph represents the normal distribution of recorded weights, in pounds, of cats at a veterinary clinic. We are asked to choose the weights, which are within 2 standard deviations of the mean.
We can see from our graph that mean of the weights is 9.5 and standard deviation in 0.5.
The data point that would be below two standard deviation is: 
that is 
.
The data point that would be above two standard deviation is: 
that is 
.
Now we need to check the data points that lie within 8.5 and 10.5.
Upon looking at our given choices, we can see that 8.9, 9.5 and 10.4 pounds lie within 2 standard deviation of the mean.
Therefore, 8.9 lbs, 9.5 lbs and 10.4 lbs are correct choices.
2=6
4=8
6=10
8=12
I added +4 for each
