Answer:
The ratio of the difference of the two means to Sidney's mean absolute deviation = 
= 1.2195
Step-by-step explanation:
P.S - The exact question is -
Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.
Sidney’s Grades Phil’s Grades
Mean 82 78
Mean Absolute Deviation 3.28 3.96
To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
Proof -
Given that Mean of Sidney Grades = 82
Mean of Phil's Grades = 78
So,
The difference of two means = 82 - 78 = 4
Also,
Given, Mean Absolute Deviation of Sydney = 3.28
Now,
The ratio of the difference of the two means to Sidney's mean absolute deviation = = 1.2195
Answer:
60
Step-by-step explanation:
Since 30%/3 is 10%, 6 is 10% of the total number of garden beds, since 18/3 is 6.
And 10% times 10 is 100%, or all of it, so 60 is the total amount of garden beds, since 6 times 10 is 60.
Step-by-step explanation:
Shortest way to solve this question is to find the factors of the given expression.
The given expression is (x² + 13).
Now we have to factorize it.
(x² + 13) = x² + (√13)²
= x² + [-(i)²√(13)²] [Since i = √(-1)]
= x² - (i√13)²
= (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-
Answer:
Supplement to ∠ABC: ∠DAB acts as a possible supplement
Step-by-step explanation:
There are two approaches to this problem:
1. We can identify an angle by it's measure such that it adds to 180° when added to the m∠ABC
2. As this shape is a quadrilateral, we can tell that two adjacent angles are supplementary to one another, and thus can be identified as the supplement to ∠ABC
For the simplicity, lets take the second method into consideration. We see that ∠ABC is adjacent to the two angles - ∠BCD, ∠BAD. These angles can be rewritten as such: ∠DCB, ∠DAB. And, as we can see from the options, ∠DAB is one of them that may act as a supplement. Shall we check?
The m∠ABC is 110° (degrees) so that it's claimed supplement, ∠DAB should be 70° as to satisfy the first condition of adding to 180°. And, we can see from the diagram that 40° + 30° = 70° so that both "approaches" are met!
Answer:
Step-by-step explanation:
In order to find the inverse of a function, we need to follow a couple of steps.
- Step 1: Write the function as
- Step 2: Swap all x and y values
- Step 3: Solve for y
- Step 4: Replace y with
We can follow these steps to find the inverse of this function.
Step 1: We can just replace the f(x) with y, making our function 
.
Step 2: We can swap where the x and y values are, making our equation
Step 3: We can now solve for y.
We now have the function as 
.
Step 4: We can now replace the y with .
Therefore the inverse of 
is .
Hope this helped!
