Answer:
The relationship is linear, and of the form:
(last option in the list of possible answers)
Step-by-step explanation:
Yes, the relationship is linear. Such can be clear by examining if the rate of change when using different pairs of x,y coordinates. Notice for example that when you do the difference between consecutive y-values of the table, you always get "5":
10-5 = 5
15-10 = 5
20-15 = 5
and the respective differences between consecutive x-values of the table, always render "4":
5-1 = 4
9-5 = 4
13-9 = 4
This tells us that the associated rates of change are constant and equal to "5/4".
This is then the slope of the line that joints all of those points.
Now, in order to find a point-slope form for this line one can use the first pair (1, 5) for the point we want the line to go through, and apply the general slope-point for a line knowing that the slope m = 5/4, and that we can use the point (1, 5) as the particular point to define it:
, which is in fact the last option given in the choice of answers.
The answer is A) -23
A is a 1x3 Matrix while B is 3x1 Matrix. Since A has the same number of rows as that of the number of columns of B, they can be multiplied. A has 1 row and B has 1 column. So, their products is a 1x1 Matrix.
Simply, the operation is:
(3)(-1) + (-2)(4) +(6)(-2) = -23
320 gallons i guess theres not much question here
Answer:
The 95% confidece estimate for how much a typical parent would spend on their child's birthday gift is between $37.47 and $46.53.
Step-by-step explanation:
The results were roughly normal, so we can find the normal confidence interval.
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 4.53 = $37.47.
The upper end of the interval is the sample mean added to M. So it is 42 + 4.53 = $46.53.
The 95% confidece estimate for how much a typical parent would spend on their child's birthday gift is between $37.47 and $46.53.
23.4 is the answer, hope this helps.:)