Step-by-step explanation:
Did you mean:
= (a - b)(a + b)
= a.a + b.a - b.a - b.b
= a² + ba - ba - b²
= a² - b²
Answer:
≥≤ are used when the number is less/greater or equal than some thing.
>< are used when a number is strictly less/greater than some thing.
1) a number x is less than 0 or at least 3
A number x is less than 0 is written as: x < 0.
x is at least 3 is written as: x ≥ 3.
Then we can write the statement as:
x < 0 ∨ x ≥ 3.
where ∨ means "or"
2) a number x is less than or equal to 4 and greater than -1
x less than or equal to 4 is written as: x ≤ 4
x is greater than -1 is written as: x > - 1.
We can write the statement as:
-1 < x ≤ 4
3) a number x is less than 8 and greater than or equal to 5
x is less than 8 is written as: x < 8
x is greater than or equal to 5 is written as: x ≥ 5.
Then the statement can be written as:
5 ≤ x < 8,
Answer:
<u>(0, - 6)</u>
Step-by-step explanation:
<u>Midpoint Formula</u>
- M = (x₁ + x₂ / 2, y₁ + y₂ / 2)
<u>Solving</u>
- M = (-3 + 3 / 2, -7 - 5 / 2)
- M = (0, -12/2)
- M = <u>(0, - 6)</u>
Answer:
The answer to the question is
Point Estimate = 1.5
Margin of error = 0.3
Step-by-step explanation:
A point estimate as opposed to an interval estimate, presented in the question which consist of a range of values, is a specific point or single value to describe a given set of collected data. An example of a point estimate is the mean of a range of values hence the point estimate is given as
(1.2 + 1.8) ÷ 2 which is equal to 1.5
The margin of error is used to describe the required allowance in terms of statistical points or percentage points by which a given set of result could vary from the actual sample. It represents the expected error between the actual population and the survey result
In this case the margin of error from the mean is
1.5 - 1.2 = 0.3
Margin of error formula is z ×σ/√(n)
where z = z-score
σ = standard deviation
n = number of sampled data
