Answer:
3.33
Step-by-step explanation:
Multiplying complex numbers is a lot like multiplying binomial terms. The only relation one has to remember when dealing with complex numbers is that i² = -1.
Now let us try to multiply binomials. This is done by adding the products of the first term of the first binomial distributed to the second binomial, and the second term of the first binomial distributed to the second binomial. This is done below:
(<span>3 – 5i)(–2 + 4i) = -6 + 12i + 10i -20i²
</span>
Simplifying and applying i²<span> = -1:</span>
-6 + 22i - 20(-1)
-6 + 22i + 20
14 + 22i
Among the choices, the correct answer is B.
Collinear points lie on the same line. So, you must look for other points that lie on the line that connects A and N. If you start from A and continue along that line, you can see that, after N, you will meet points M and F.
So, those points are collinear with A and N.
11.11
The '11' before the decimal point is our whole number.
We can write 11 hundredths as 11 over 100.
11/100
So we have:
11 11/100
Answer:
--- test statistic
--- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given
--- Null hypothesis
---- Alternate hypothesis
Solving (a): The test statistic
This is calculated as:
So, we have:
Solving (b): The p value
This is calculated as:
So, we have:
Look up the z probability in the z score table. So, the expression becomes
Solving (c): With , what is the conclusion based on the p value
We have:
In (b), we have:
By comparison:
i.e.
So, we fail to reject the null hypothesis.
