The slope-intercept of a line is expressed as y=mx + b where m is the slope which is equal to change in y over change in x and b is the y-intercept. We can obtain this form from two points by doing as follows:
y - y1 = m(x-x1)
y + 3 = (1 + 3) / (4-0) (x - 0)
y + 3 = x
y = x -3
where m is 1 and b is -3
Consecutive means in order. So let's call the first integer x. The next number in line would be x+1 and the largest integer would be x+2. Let's prove that so you're not confused. If x is 3, then x+1 is 4 (next in line), and x+2 is 5 next after that. See? So if we add all those together we set them equal to 267 and solve for x: x + x+1 + x+2 = 267. Combining like terms gives us 3x + 3 = 267 and 3x = 264. Now dividing both sides by 3 we get that x = 88. That's the smallest integer; the largest is found by adding 88 + 2 which is 90. So that means that the numbers are 88, 89, 90, and that adding them up = 267. Let's check that now: 88+89+90=267 so we're good.
The correct answer it’s a
Answer:
0.368
Step-by-step explanation:
Number of red marbles= 3
Number of blue marbles= 4
Number of green marbles= 7
Total number of marbles= 3+4+7= 14
Let the first ball is taken out to be red
P(R)=
than again a second ball is drawn, number of balls left= 14-1=13
Number of red= 2
P(R)=
Total probability=
+
Total probability= 0.368
Hence, the correct answer is 0.368
Answer:
345.38+195.65+((345.38×(0.0175÷12))
=541.53