Answer:
44
Step-by-step explanation:
k=1: 2*1-4 = -2
k=2: 2*2²-4 = 4
k=3: 2*3²-4 = 14
k=4: 2*4²-4 = 28
-2 + 4 + 14 + 28 = 44
Answer:
x = 19
Step-by-step explanation:
3(x - 9) = 30
Divide both sides by 3 to isolate the binomial.
x - 9 = 10
Add 9 to both sides to isolate x.
x = 19
Check your answer by plugging x = 19 back into the equation.
3(x - 9) = 30
3(19 - 9) = 30
Subtract.
3(10) = 30
Multiply.
30 = 30
Your answer is correct.
Hope this helps!
Answer:
A. D
B. χ2 > 3.841
C. χ2 = 3.4806
D. 0.0621
Step-by-step explanation:
Question A: The hypotheses the dean should use are:
a) H0 : π1 - π2 ≥ 0 versus H1 : π1 - π2 < 0.
b) H0 : π1 - π2 ≤ 0 versus H1 : π1 - π2 > 0.
c) H0 : π1 - π2 ≠ 0 versus H1 : π1 - π2 = 0.
d) H0 : π1 - π2 = 0 versus H1 : π1 - π2 ≠ 0.
Answer: (d)
H0 : π1 - π2 = 0 versus H1 : π1 - π2 ≠ 0.
(B). Referring to the scenario above, the null hypothesis will be rejected if the test statistic is ________.
Answer: χ2 > 3.841
(C). Referring to the scenario above, the value of the test statistic is ________.
Answer: χ2 = 3.4806 (using the formula)
(D). Referring to the scenario above, the p-value of the test is ________.
Answer: 0.0621 (the answer could be looked up, in table)
R = x(A+B)
distribute
R=Ax+Bx
subtract Ax from each side
R-Ax=Bx
divideby x
(R-Ax)/x =B
Choice C
