Answer:
you minus them
Step-by-step explanation:
Answer:
- slope: 1
- equation: y = x +3
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -0)/(-1 -(-3)) = 2/2
m = 1 . . . . . the slope of the line is 1
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The value of the y-intercept can be found by solving the slope-intercept equation for b.
y = mx +b
b = y -mx
b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)
The equation of the line with slope 1 and y-intercept 3 can be written as ...
y = x +3
Answer:
Original claim is 
Opposite claim is 
Null and alternative hypotheses:


Significance level: 0.01
Test statistic:
We can use TI-84 calculator to find the test statistic and P-value. The steps are as follows:
Press STAT and the scroll right to TESTS
Scroll down to 2-SampTTest... and scroll to stats.
Enter below information.







Pooled: Yes
Calculate.
The output is in the attachment.
Therefore, the test statistic is:

P-value: 0.4412
Reject or fail to reject: Fail to reject
Final Conclusion: Since the p-value is greater than the significance level, we, therefore, fail to reject the null hypothesis and conclude that the there is sufficient evidence to support the claim that the samples are from populations with the same mean.
Answer:
f(4)
Step-by-step explanation:
The output is the value of f(x) for a given value of x ( the input )
Substitute the given values of x into f(x) to determine the output, that is
f(- 8) = (- 8)³ - (- 8)² = - 512 - 64 = - 576 ≠ 48
f(- 4) = (- 4)³ - (- 4)² = - 64 - 16 = - 80 ≠ 48
f(4) = 4³ - 4² = 64 - 16 = 48
Thus f(4) gives an output of 48