1. A. y and 1.2y are like terms. c they both contain the same term (y) and can therefore be combined.
2. B. 12x+11 (you have to combine the like terms)
3. 15y+18-4
C. 15y+14 (you must distribute the 3 to inside the parentheses, so 3×5y and 3×6)
4. 9(9-3p) (you have to find a common factor between the terms, in this case 9, and you place it on the outside of the parentheses, while dividing that factor from those terms, which are placed in parentheses.
The probability is P = 0.004, so the correct option is D.
<h3 /><h3>How to find the probability?</h3>
We want to find the probability that 4 students lie on these 30% subgroup.
We know that there are 30 students, the 30% of 30 is:
x = (30%/100%)*30 = 9
So 9 out of 30 students prefer the tests to be on Mondays.
The probability that the first randomly selected kid wants the test to be on Monday is:
p= 9/30
For the next kid, the probability is:
p'= 8/29 (because one kid was already selected).
For the next one:
p'' =7/28
For the final one:
p''' =6/27
The joint probability is the product of these 4:
P = (9/30)*(8/29)*(7/28)*(6/27) = 0.004
So the correct option is D.
If you want to learn more about probability:
brainly.com/question/25870256
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Step-by-step explanation:
If the line that goes through (9, 6) is perpendicular to y = -1/3x + 7, then their slopes will be opposite reciprocals. The slope of the line given is -1/3. The opposite reciprocal of -1/3 is +3. If we have our new line passing through point with x coordinate 9 and y coordinate 6, we will use that x and y and the slope of 3 to solve the slope-intercept equation for b. Like this: 9 = 3(6) + b. 9 = 18 + b and b = -9. That means that the new equation, the one that is perpendicular to the given line, is y = 3x - 9.
Answer:
The y-intercept is (0,1/5)
The y-intercept is (1/9,0)
