Answer:
C
Step-by-step explanation:
A is for sure wrong because we can see the distribution of the data showing us that the center is at 8. B is also wrong because the spread is only from 6.5 even though the table goes from 5. C would be correct because its symmetrical in shape.
Answer:
A. There is a positive correlation in the data set
Step-by-step explanation:
First, we need to determine if there is a correlation or not, this means that the points in the scatter plot follow a specific pattern or not. This scatter plot does appear to follow a linear pattern, therefore the answer must be A or B. Next, we evaluate if there is a positive or negative correlation based on if the pattern of the points is increasing or decreasing, based on the graph, it appears to be increasing so we can determine that there is a positive correlation. Based on these, we can determine that A is the correct answer.
F'(x)= 4 (2x+3)^3 times 2 = 8 (2x+3)^3 .
Answer:
Step-by-step explanation:
Part A
We will use the slope intercept form of the line and then convert later.
Equation
y = mx + b is the general form
Givens
Two data points
(4,180)
(9,325)
Solution
325 = 9x + b
<u>180 = 4x + b</u> Subtract
145 = 5x Divide by 5
145/5 = 5x/5 Do the division
29 = x This represents the cost / day
180 = 4x + b Substitute x = 29 to find b
180 = 4*29 + b Combine
180 = 116 + b Subtract 116 from both sides.
180 - 116 = b
64 = b
Solution for y = mx + b
y = 29x + 64
In Standard form this is
- 29x + y = 64 But the first number must be plus
29x - y = - 64 <<<< Answer A
Part B
y = 29x + 64
f(x) = 29x + 64
Part C
The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.