For complex number, the magnitude is pretty straight forward:
sqrt(6^2 + 2^2) = sqrt(40)
For any a + bi, the magnitude will be sqrt(a^2 + b^2)
Answer:
5 + 25 + 75 = 105 dollars
Step-by-step explanation:
The easiest way is to just take this day by day.
day 1: 5 dollars
day 2: day1^2 = 5^2 = 25
day 3: 3 * day2 = 3 * 25 = 75
Then sum them: 5 + 25 + 75
Answer:
There is enough evidence to support the claim that the population mean is greater than 100
Step-by-step explanation:
<u>Step 1</u>: We state the hypothesis and identify the claim
and
(claim)
<u>Step 2</u>: Calculate the test value.


<u>Step 3</u>: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134
<u>Step 4</u>: We fail to reject the null hypothesis since P-value is greater that the alpha level. (0.134>0.05).
<u>Step 5</u>: There is enough evidence to support the claim that the population mean is greater than 100.
<u>Alternatively</u>: We could also calculate the critical value to obtain +1.685 for
and d.f=39 and compare to the test-value:
The critical value (1.685>1.126) falls in the non-rejection region. See attachment.
NB: The t- distribution must be used because the population standard deviation is not known.
Answer:
Step-by-step explanation:
4x-3+7x+1
4x, 7x are like terms because the both have an x
-3,1 are like terms because they are both constants
4x+7x-3+1
11x -2