Sample Answer: An interpolation has a result which lies within the scatterplot’s cluster of data points. An extrapolation lies outside the cluster. An interpolation is more reliable than an extrapolation.
Answer:
5 units down.
Step-by-step explanation:
D' is the translated image. If D' is at (7,1) and the original point, D, is at (7,6), we can see a change of -5 in the y coordinate. This means that there was a translation of 5 units down.
Let
x---------> represent the number of miles Troy's has driven
y--------> represent the amount of gas in Troy's truck
we know that
the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is
where
m is the slope---------> 
in this problem the slope is equal to 
it's negative because the tank is going to be consumed
assuming he starts with a full tank
substitute in the formula above
therefore
the answer is
the equation 
Answer:
The number of expected people at the concert is 8,500 people
Step-by-step explanation:
In this question, we are asked to determine the expected number of people that will attend a concert if we are given the probabilities that it will rain and it will not rain.
We proceed as follows;
The probability that it will rain is 30% or 0:3
The probability that it will not rain would be 1 -0.3 = 0.7
Now, we proceed to calculate the number of people that will attend by multiplying the probabilities by the expected number of people when it rains and when it does not rain.
Mathematically this is;
Number of expected guests = (probability of not raining * number of expected guests when it does not rain) + (probability of raining * number of expected guests when it rains)
Let’s plug values;
Number of expected guests = (0.3 * 5,000) + (0.7 * 10,000) = 1,500 + 7,000 = 8,500 people
