Answer:
A. True
Step-by-step explanation:
The empirical rule in statistics states that:
- 68% of the data will be within 1 standard deviation
- 95% of the data will be within 2 standard deviations
- 99.7% of the data will be within 3 standard deviations
So yes, we can state that 5% or less of the data will be more than 2 standard deviations away from the mean. Of course, statistics is not 100% certain, so this rule is not 100% right all the time. Some exceptions might result, but generally speaking, the results should follow the empirical rule.
Answer:
2(4x + 1)(x + 1)
Step-by-step explanation:
Given
8x² + 10x + 2 ← factor out 2 from each term
= 2(4x² + 5x + 1)
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × 1 = 4 and sum = + 5
The factors are + 1 and + 4
Use these factors to split the x - term
4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )
= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)
= (4x + 1)(x + 1), thus
4x² + 5x + 1 = (4x + 1)(x + 1) and
8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form
Answer:
B. 6,8,10
Step-by-step explanation:
to find a right triangle the equation: a^2 + b^2 = c^2, so just plug each number in to see.
6^2 + 8^2 = !0^2
36 + 64 = 100
100 = 100
Personally i knew almost immediately because 3,4,5 are the most common right triangles example and 6,8,10 are just a x2 of them so yea.
The greatest common factor of two numbers, one of which is 1, will always be 1.
Step-by-step explanation:
which expression there is no expression here
