9514 1404 393
Answer:
970
Step-by-step explanation:
It turns out that the radical terms cancel, so the result is an integer. You can find the integer value using your calculator. It is ...
(5 +2√6)³ +1/(5 +2√6)³ = 970
_____
The cube of 'a' is ...
(5+2√6)³ = 5³ +3·5²·2√6 +3·5·(2√6)² +(2√6)³
= 125 +3·50√6 +3·120 +48√6
a³ = 485 +198√6
The reciprocal of this is ...
b³ = 1/a³ = 1/(485 +198√6) = (485 -198√6)/(485² -6·198²) = (485 -198√6)/1
b³ = 485 -198√6
Then the sum is ...
a³ +b³ = (485 +198√6) +(485 -198√6) = 970
Do do this you divide the largest denominator by the smallest;
12/3 = 4
The answer is 4
Hope this helps! :)
Answer:
6/12 and 4/8
Step-by-step explanation:
2/4 = 1/2
___________________
6/8 not equal to 1/2
6/12 = 1/2
4/8 = 1/2
4/6 does not equal to 1/2
5/7 does not equal to 1/2
Answer: The explanation is correct.
Step-by-step explanation:
The interpretation of 95% confidence interval for population mean is that "A person can be 95% sure that the true population mean lies in it."
Given : The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen.
Interpretation: The admissions director can be 95% sure that the true population mean IQ score of all freshmen lies in (107.8, 116.2).
i.e. There is a 95% probability (chance) that the interval from 107.8 to 116.2 contains μ.
Hence, the explanation is absolutely "correct" .
Answer:- A.The independent variable is the input variable and should be represented by the x-axis.
Explanation:-
A. Correct.
B. Not correct.
<u>Reason</u>:- The independent variable is the input variable and should be represented by the x-axis.
C. Not correct.
<u>Reason</u>:- The dependent variable is the output variable and should be represented by y-axis.
D. Not correct.
<u>Reason</u>:-The dependent variable is the output variable and should be represented by y-axis.
