Answer:
Step-by-step explanation:
8: 2 * 2 * 2 Eight factors into 3 twos
12: 2*2 * 3 12 factors into 2 twos and 1 three
LCM: 2 * 2 * 2 * 3
LCM: 24
Answer:
2x + 3
Step-by-step explanation:
Given
(x² + 7x + 1) + (- x² - 5x + 2) ← remove parenthesis
= x² + 7x + 1 - x² - 5x + 2 ← collect like terms
= 2x + 3
Answer:
3 x 3/12 x 2/11 x 9/10
Step-by-step explanation:
Answer:
A) all values of x, and all values of y
B) (3a + 4b) (9a² − 12ab + 16b²)
Step-by-step explanation:
(x² + y²)² = (x² − y²)² + (2xy)²
x⁴ + 2x²y² + y⁴ = x⁴ − 2x²y² + y⁴ + 4x²y²
x⁴ + 2x²y² + y⁴ = x⁴ + 2x²y² + y⁴
27a³ + 64b³
(3a)³ + (4b)³
(3a + 4b) (9a² − 12ab + 16b²)
Answer:
58%
Step-by-step explanation:
This is a problem of conditional probability.
Let A represent the event that student has dark hair.
So P(A) = 55% = 0.55
Let B represents the event that student has blue eyes.
So, P(B) = 60% = 0.60
Probability that student has blue eyes and dark hairs = P(A and B) = 35% = 0.35
We are to find the probability that a randomly selected student will have dark hair, given that the student has blue eyes. Using the given formula and values, we get:

Therefore, there is 0.58 or 58% probability that the student will have dark hairs, given that the student has blue eyes.