Step-by-step explanation:
<u>Answer(1):</u>
Law of Cosines.
<u>Answer(2):</u>
since side "c" is missing so we will write formula used for side "c"
<u>Answer(3):</u>
First lets write both sine and cosine formulas:
Check the attached picture for the list of formulas:
From given picture we see that two angles A and B are missing. Also 1 side "c" is missing.
Sine formula uses two angles while cosine formula uses only one angles.
Hence cosine formula will be best choice to find the missing values.
Answer:
Option D) Yes, because the test statistic is -2.01
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 30 pound
Sample mean, = 29.1 pounds
Sample size, n = 20
Alpha, α = 0.05
Sample standard deviation, s = 2 pounds
First, we design the null and the alternate hypothesis
We use one-tailed(left) t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.
Option D) Yes, because the test statistic is -2.01
We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:
Now, we create another column with the product of "x" and "y". Like this:
Now, we will add another column with the squares of the values of "x". Like this:
Now, we add another column with the squares of the values of "y":
Now, we sum the values on each of the columns:
Now, to get the correlation factor we use the following formula:
Where:
Now we substitute the values, we get:
Solving the operations:
Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.
