The back of the book should have the answers
Answer:
-2
Step-by-step explanation:
The equation is -12/c=6
by solving for c you get,
-12/c=6
Then multiply both sides by the LCM c to get, -12=6c
Divide both sides by 6 to get,
-12/6=6c/6
-2=c
Verification:
-12/-2=6 since when a negative number divides a negative number the answer is a positive value
Answer:
b) Fail to reject the null hypothesis with a sample of n = 23 participants
Step-by-step explanation:
Hello!
A "Repeated-measures t-test" is also known as "paired sample t-test" In this type of test you have only one sample and you measure two variables of interest to each experimental unit. Since both study variables are measured in the same units they are said to be dependent.
The most common example of this type of test is the "before-after treatment" experiment.
The degrees of freedom of this experiment are
, so if the test was conducted under a t₂₂ distribution, then the sample size was n= 23 experimental units. Remember if you use the p-value approach, to make a decision over the null hypothesis you have to compare it to the level of significance following the decision rule:
If the p-value ≤ α, you reject the null hypothesis.
If the p-value > α, you do not reject the null hypothesis.
In this example is specified that the p-value is greater than the level of significance, then the decision is to not reject the null hypothesis.
With all this in consideration, the correct option is b)
U hope you have a SUPER day!
Answer: Choice A) 1990 to 1991
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Explanation:
Let's go through the answer choices one by one.
For choice A, we go from the year 1990 to 1991 which is a change of 1 year. The wage goes from 3.80 to 4.25 over this timespan, which is an increase of 4.25-3.80 = 0.45 dollars. Divide the change in wage (0.45 dollars) over the change in change in time (1 year) to get 0.45/1 = 0.45; this indicates that the wage increased by 0.45 dollars per year over the timespan 1990 to 1991
Now onto choice B. We have a wage increase of 3.80-3.35 = 0.45 over a course of 9 years (since 1990-1981 = 9) so 0.45/9 = 0.05 is the rate of wage growth, meaning that the wage bumps up by a nickel each year. So far choice A is the winner.
Moving onto choice C, we have a wage increase of 0.25 dollars (3.35-3.10 = 0.25) over an 1 year period (1981-1980 = 1) so the rate of change for this slice of time is 0.25/1 = 0.25 dollars per year. Choice A is still the winner.
Finally, for choice D, this is over a year as well (1980-1979 = 1) and the wage increases by 0.20 dollars (3.10-2.90 = 0.20) leading to a rate of change to be 0.20/1 = 0.20
So choice A has the largest rate of change which is the same as saying it has the largest rate of wage increase. This shows why choice A is the answer.
The first sentence → x - 2y = -1
the second one → 3x - 2y = -3
multiply the first one by -1
you can get → -x + 2y = 1
plus two sentences together
you can get → 2x = -2
so you are able to know that x = -1
and y = 0
