Answer:

Step-by-step explanation:
![\int\bigg(x(x-6)^3\bigg)dx\Rightarrow\left[\begin{array}{ccc}x-6=u\\x=u+6\\dx=du\end{array}\right]\Rightarrow\int\bigg((u+6)u^3\bigg)du\\\\=\int(u^4+6u^3)du=\dfrac{1}{5}u^5+\dfrac{6}{4}u^4+C=\dfrac{1}{5}(x-6)^5+\dfrac{3}{2}(x-6)^4+C](https://tex.z-dn.net/?f=%5Cint%5Cbigg%28x%28x-6%29%5E3%5Cbigg%29dx%5CRightarrow%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx-6%3Du%5C%5Cx%3Du%2B6%5C%5Cdx%3Ddu%5Cend%7Barray%7D%5Cright%5D%5CRightarrow%5Cint%5Cbigg%28%28u%2B6%29u%5E3%5Cbigg%29du%5C%5C%5C%5C%3D%5Cint%28u%5E4%2B6u%5E3%29du%3D%5Cdfrac%7B1%7D%7B5%7Du%5E5%2B%5Cdfrac%7B6%7D%7B4%7Du%5E4%2BC%3D%5Cdfrac%7B1%7D%7B5%7D%28x-6%29%5E5%2B%5Cdfrac%7B3%7D%7B2%7D%28x-6%29%5E4%2BC)
Answer: Undefined: Needs more data
Step-by-step explanation: What is the timespan over which they have retired? Is this a direct relationship?
Answer:
Step-by-step explanation:
Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as
Hypotenuse² = one leg² + other leg²
Therefore,
h² = (3a)³ + (4a)³
h² = 27a³ + 64a³
h² = 91a³
Taking square root of both sides,
h = √91a³
The formula for determining the perimeter of a triangle is expressed as
Perimeter = a + b + c
a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is
√91a³ + (3a)³ + (4a)³
= √91a³ + 91a³
Answer:
With the information given in the question, the blank spaces are filled thus:
Step-by-step explanation:
1. The <u>intercept </u>is the estimated amount of a purchase, if time spent viewing the online catalog was zero minutes.
2. The <u>slope coefficient</u> is the estimate of amount that a purchase charges/changes, for one extra minute spent viewing the online catalog.
3. The <u>proportion</u> of total variation in purchases that can be explained by variation in the minutes spent viewing an online catalog is equal to the <u>coefficient of determination</u>.
4. The p-value is the <u>probability value</u>
5. <u>Reject</u> the null hypothesis if there is <u>sufficient </u>evidence to support the claim that the regression slope coefficient is not equal to zero.
NOTE: In the case of number 5, the assumption is that;
Null Hypothesis: The regression slope coefficient = 0
Alternative Hypothesis: The regression slope coefficient ≠ 0
Other answers require numerical information and full data, in order to be computed or calculated.
Answer:
The point estimate of the proportion of people over 6ft to total people is 6:25
Step-by-step explanation:
To find this, simply start with the number of people over 6 ft and total people as a proportion.
12:50
Then simplify by dividing by 2
6:25