Answer:
The least common multiple would be 140.
Step-by-step explanation:
The least common multiple is known to be a multiple that is the lowest value that satisfies being a multiple with the other factors given.
The least common multiple was 140 as it was the lowest value that satisfied being a multiple of 14, 10, AND, 20,
14 * 10 = 140
20 * 7 = 140
10 * 14 = 140
The scientific notation is <span>6x10^24.</span>
Answer:
The variance of the given data is 106.9667
Step-by-step explanation:
The variance, S² of a sample is given by the expression;

Where:
= One of the observations
= The mean of the observations
n = Number in the sample = 6
The mean = Σ
/n = (26 + 32 + 29 + 16 + 45 + 19
)/6 = 167/6 = 27.833
Therefore, we have;
S² = ((26 - 27.833)²+(32 - 27.833)²+(29 - 27.833)²+(16 - 27.833)²+(45 - 27.833)²+(19 - 27.833)²)/(6 - 1) = 106.9667.
Answer:
OPTION C: (x - 5)(x + 6)
Step-by-step explanation:
Given: (x - 3)(x + 4) - 18
Product of (x - 3) and (x + 4) = x² + 4x - 3x - 12
Therefore, (x - 3)(x + 4) - 18 = x² + x - 30
This is a quadratic equation and the roots are x = 5, -6.
This can be written as binomials as:
(x - 5)(x + 6) which is the required answer.
So, OPTION C is the answer.