The largest common divisor (GCD) here is 24, indicating how many identical sets can be created. To find this using Euclid's algorithm, you start by dividing the larger number (72) by the smaller one (48) and check the remainder, which is 24. Since 24 evenly divides all the numbers (48, 72, 120), it serves as the GCD. Each of the 24 sets will include 2 blue crayons, 2 green crayons, 2 yellow crayons, 3 red crayons, and 5 colored pictures.
(1) The sample mean stands at 1480 hours while the population standard deviation is 80 hours.(2) The null hypothesis posits that the average lifespan of fluorescent bulbs is 1500 hours.(3) The critical value is 1.645.(4) The test statistic is D, -1.58.(5) The conclusion is B, we reject H0.(6) Thus, the conclusion indicates A, there isn't sufficient evidence to substantiate the claim that the average lifespan of its fluorescent bulbs is 1500 hours.
The slope-intercept form of a linear equation is presented as y = mx + b, where x and y denote coordinates of an ordered pair, m represents the slope, and b indicates the y-intercept. Our objective is to isolate m. Initially, we will eliminate 'b' from both sides. Next, we will reposition the terms accordingly and finally divide both sides by x. Thus, we conclude that m equals the calculated value.
Zx = 5g(2x - c) Apply the Distributive Property
zx = 10gx - 5cg Subtract 10gx from each side
zx - 10gx = -5cg Factor x out
x (z - 10g) = -5cg Divide by (z - 10g)
x = 
