Answer:
Step-by-step explanation:
Hi there! I'm glad I was able to help you solve this equation!
Let's start by simplifying both sides of the equation. It's easier to solve it this way!
Distribute:
Combine 'like' terms:
Next, you'll want to add 36 to both sides of the equation.
Finally, divide both sides by .
I hope this helped you! Leave a comment below if you have any further questions! :)
The variance for the data is 17,507. 5.
Given
The weekly salaries of a sample of employees at the local bank are given in the table below.
Employee Weekly Salary Anja $245 Raz $300 Natalie $325 Mic $465 Paul $100.
<h3>Variance</h3>Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.
The mean value of the salaries of employees is;
The variance is given by;
Hence, the variance for the data is 17,507. 5.
To know more about variance click the link given below.
Answer:
x >= -7 ................(1a)
x >= 3 ...............(2a1)
Step-by-step explanation:
f(x) = .............(0)
find the domain.
To find the (real) domain, we need to ensure that each term remains a real number.
which means the following conditions must be met
x+7 >= 0 .....................(1)
AND
x^2+2x-15 >= 0 ..........(2)
To satisfy (1), x >= -7 .....................(1a) by transposition of (1)
To satisfy (2), we need first to find the roots of (2)
factor (2)
(x+5)(x-3) >= 0
This implis
(x+5) >= 0 AND (x-3) >= 0.....................(2a)
OR
(x+5) <= 0 AND (x-3) <= 0 ...................(2b)
(2a) is satisfied with x >= 3 ...............(2a1)
(2b) is satisfied with x <= -5 ................(2b1)
Combine the conditions (1a), (2a1), and (2b1),
x >= -7 ................(1a)
AND
(
x >= 3 ...............(2a1)
OR
x <= -5 ................(2b1)
)
which expands to
(1a) and (2a1) OR (1a) and (2b1)
( x >= -7 and x >= 3 ) OR ( x >= -7 and x <= -5 )
Simplifying, we have
x >= 3 OR ( -7 <= x <= -5 )
Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.
