a student claims that the inequality 3x+1>0 is always true because multiplying a number by 3 and then adding 1 to the result
1 answer:
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The first odd number is 1. The next is 2 more than the previous one.
It's an arithmetic sequence.
The general term of an arithmetic sequence:
a_n - n-th term
a_1 - first term
d - common difference.
We have
Substitute:
Answer:
The solution is: x = -1, and y = 8/3
Step-by-step explanation:
Notice that the system of equations can be easily solved via the "elimination" method, by subtracting term by term one equation from the other. Doing such will remove completely the term in "y" (since the terms in "y" are exactly equal in both equations), and leave only an equation containing "x", for which the value can be solved:
Now we use this x-value in either equation to solve for y:
Answer:
(a) The p-value is 0.9554
(b) We cannot reject the null hypothesis at the significance level of 0.06
Step-by-step explanation:
We are dealing with a lower-tail alternative . Because the test statistic is z = +1.7 which comes from a normal distribution, the p-value is the probability of getting a value as extreme as the already observed.
(a) P(Z < +1.7) = 0.9554
(b) The p-value is very large, and 0.9554 > 0.06, so, we cannot reject the null hypothesis at the significance level of 0.06