Answer:
c. The expected values of R and S will be equal, and the variability of R will be greater than the variability of S.
Step-by-step explanation:
This is Central Limit Theorem concept in which independent variables are added and form a normal distribution. The random sample of n sample size is selected which calculates normally distributed mean and variance. The expected value of samples distributor will be higher than the sample distribution.
Answer:
-6x⁶ + 4x⁴ - 3x³ + 4x² + 12
Step-by-step explanation:
To write an equation in standard form, you want to arrange the terms from increasing to decreasing powers/exponents.
given: 4x² - 6x⁶ + 2x³ + 12 - 5x³+ 4x⁴
First, lets arrange like terms together. Put the terms with the same exponent together.
2x³ - 5x³ + 4x² - 6x⁶ + 12 + 4x⁴
Now combine the terms with the same exponent by subtracting 5x³ from 2x³.
-3x³ + 4x² - 6x⁶ + 12 + 4x⁴
Now let's arrange the terms from increasing to decreasing powers/exponents.
-6x⁶ + 4x⁴ - 3x³ + 4x² + 12
This is your equation in standard form.
Hope this helps!
Answer:

Step-by-step explanation:
The confidence interval for the population mean x can be calculated as:

Where x' is the sample mean, s is the population standard deviation, n is the sample size and
is the z-score that let a proportion of
on the right tail.
is calculated as: 100%-99%=1%
So, 
Finally, replacing the values of x' by 308, s by 17, n by 15 and
by 2.576, we get that the confidence interval is:

Answer:
i. D:All real numbers
ii.R:

iii. Y-int:

Step-by-step explanation:
The given function is

The domain of this function are the values of x that makes the function defined.
The absolute value function is defined for all real values.
The domain is all real numbers.
ii. The range refers to the values of y for which x is defined.

The vertex of this function is

The function is reflected in the x-axis.
The vertex is therefore the maximum point on the graph of the function.
The range is therefore;
Or
![(-\infty,2]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C2%5D)
iii. To find the y-intercept, we substitute

into the funtion.



The y-intercept is

The graph is shown in the attachment.
640,700 :- the four in this number is 40,000
67,040 :- the four in this number is 40
Now, we need to find out how many times greater 40,000 is than 40.
40,000/40 = 1000
Answer: It is 1000 times greater.