B. You have to solve for X, and graph using whatever is less than or greater than. 4x + 12 < 4 to 4x < -8 to x < -2.
$4,950 will be paid after 3 years.
$577.50 will be paid as interest for the total loan.
Answer:
C. with 3000 successes of 5000 cases sample
Step-by-step explanation:
Given that we need to test if the proportion of success is greater than 0.5.
From the given options, we can see that they all have the same proportion which equals to;
Proportion p = 30/50 = 600/1000 = 0.6
p = 0.6
But we can notice that the number of samples in each case is different.
Test statistic z score can be calculated with the formula below;
z = (p^−po)/√{po(1−po)/n}
Where,
z= Test statistics
n = Sample size
po = Null hypothesized value
p^ = Observed proportion
Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.
Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis
You can't tell. The volume doesn't tell you the dimensions. It only tells you
what the product of the three dimensions is, but not what anyone of them is.
There are an infinite number of different possibilities.
Example: Volume = 8 cubic feet
The dimensions of the box could be
Length = 2-ft, Width = 2-ft, Height = 2-ft
or
1 x 1 x 8
or
1 x 2 x 4
or
1 x 3 x 2-2/3
or
1 x 5 x 1.6
or
1 x 6 x 1-1/3
or
1 x 7 x 1-1/7
or
2 x 3 x 1-1/3
or
2 x 5 x 0.8
or
2 x 6 x 2/3
or
2 x 7 x 4/7
or
2 x 8 x 1/2
.
.
etc.
Answer:
Graph 4
Step-by-step explanation:
Parallel lines have no solution to the system of equation. Graph 4 is a set of parallel lines, so they will never intersect.