Answer:
Imagine we are to express [
a
,
b
] in set notation
A
=
[
a
,
b
]
, then A
=
{
x ∈ R / a
≤
x
≤
b
}
In this notation we define the characteristics of all x belonging to this set A
....x must be greater or equal to a and simultaneously smaller or equal to b...
Interval notation is other way to say the same but assuming that means the extreme a is IN the interval and means extreme a is not.
1. Thomas Edison used "perspiration" to refer to the physical and mental efforts needed to achieve a meaningful purpose in any human endeavor.
2. As it applies to businesses, it is not enough to develop a business idea or plan, as the business person must be prepared to execute and carry the business idea or plan to fruition.
<h3>What does Thomas Edison's reference mean?</h3>
According to Thomas Edison, the superior intellect or creativity we associate with great minds comes from inspiration (the idea) and perspiration (hard work).
Perspiration literarily refers to the sweat that emanates as someone works hard.
Without a strong working ethic, it will be impossible to achieve great results from only the proposition of great ideas or business plans.
Learn more about Thomas Edison at brainly.com/question/26568016
The given data is
Scores: 90-99 80-89 70-79 60-69 50-59
Students: 3 7 12 4 4
Because we are to take the middle value for each group.
Therefore the total score is
Sx = 3*94.5 + 7*84.5 + 12*74.5 + 4*64.5 + 4*54.5 = 2245
The number of students is 3+7+12+4+4 = 30
The mean is
m =2245/30 = 74.833
Calculate (Sx - m)²
(Sx - m)² = 3*(94.5-74.833)² + 7*(84.5-74.833)² + 12*(64.5-74.833)²
+ 4*(64.5-74.833)² + 4*(54.5-74.833)² = 3896.7
Calculate the standard deviation
s = √(3896.7/29) = 11.592
Answer:
mean = 74.83
std. deviation = 11.59
11x + 4y = 18
3x + 4y = 2.....multiply by -1
----------------
11x + 4y = 18
-3x - 4y = -2 (result of multiplying by -1)
---------------add
8x = 16
x = 16/8
x = 2
3x + 4y = 2
3(2) + 4y = 2
6 + 4y = 2
4y = 2 - 6
4y = -4
y = -4/4
y = -1
solution is : (2,-1)
