Answer:
The fifth line contains the error.
Step-by-step explanation:
Line 1 is the equation.
Lines 2, 3, and 4 are correct.
The error is in the 5th line.
The square root of a negative number is not a real number, so if this problem is solved only with real numbers, there is no solution.
If imaginary numbers are allowed, then the last line should read:

Answer:
(Answer D)
Step-by-step explanation:
Please use " ^ " to indicate exponentiation: y = -8x^2 - 2, y = -8x^2
The graph of y = -8x^2 is an inverted parabola with vertex at (0, 0).
That of y = -8x^2 - 2 is the same as above, except that the whole graph has been shifted 2 units down (Answer D).
Answer:
108 inches^2
Step-by-step explanation:
Multiple each side by 1.5
8x1.5=12
6x1.5=9
then to find the area, multiply the sides together.
Answer:
The right option is B) 12.60
Step-by-step explanation:
We have given,
Number of shares = 30
Cost of each share = $34
Total cost of shares = 30 × 34 = $1020
Since the company paid annual dividends of $0.42 per share.
i.e Total annual dividend company paid = 0.42 × 30
Total annual dividend company paid = $ 12.60
Hence the right option is B) 12.60
Answer:
d. t distribution with df = 80
Step-by-step explanation:
Assuming this problem:
Consider independent simple random samples that are taken to test the difference between the means of two populations. The variances of the populations are unknown, but are assumed to be equal. The sample sizes of each population are n1 = 37 and n2 = 45. The appropriate distribution to use is the:
a. t distribution with df = 82.
b. t distribution with df = 81.
c. t distribution with df = 41.
d. t distribution with df = 80
Solution to the problem
When we have two independent samples from two normal distributions with equal variances we are assuming that
And the statistic is given by this formula:
Where t follows a t distribution with
degrees of freedom and the pooled variance
is given by this formula:
This last one is an unbiased estimator of the common variance
So on this case the degrees of freedom are given by:

And the best answer is:
d. t distribution with df = 80