If x+y=5, let y = 0 to find the x-intercept: x=5. The x-int. is at (5,0).
Let x = 0 to find the y-int: y=5. The y-int is (0,5).
Plot (5,0) and (0,5), and then draw a straight line thru both points.
If x+y=5, solving for y results in y = -1x + 5
Comparing this to y = mx + b, m=-1 and b= 5. Again, the y-int. is (0,5).
Answer:
30
Step-by-step explanation:
The sum of all the angles in a triangle is always, always, 180 degrees.
Just add the angles, then solve for x.
(2x - 10) + (x + 30) + 70 = 180
3x + 20 + 70 = 180
3x + 90 = 180
3x = 90
x = 30
Answer:
P(A∪B) = 0.92
Step-by-step explanation:
Let's call A the event that the sandwich was made with raspberry Jelly and B the event that the sandwich was made with creamy peanut butter.
So, the probability P(A∪B) that a randomly chosen sandwich was made with raspberry jelly or creamy peanut butter is calculated as:
P(A∪B) = P(A) + P(B) - P(A∩B)
Where P(A) is the probability that a sandwich was made with raspberry jelly, P(B) is the probability that it was made with creamy peanut butter and P(A∩B) is the probability that it was made with raspberry jelly and creamy peanut butter.
So, replacing P(A) by 0.84, P(B) by 0.27 and P(A∩B) by 0.19, we get that P(A∪B) is equal to:
P(A∪B) = 0.84 + 0.27 - 0.19
P(A∪B) = 0.92
