Answer:
0.50
Step-by-step explanation:
Let A represent the probability that it will be cloudy
Let B represent the probability that it will be rainy
P(A) = 0.40
P(B) = 0.30
P(A and B) = 0.20
For non mutually exclusive events the probability of event A or B is
P(A or B) = P(A) + P(B) - P(A and B)
= 0.40 + 0.30 - 0.20
= 0.50
There is a 50% probability that the picnic will be postponed. Therefore the probability that the picnic will not be postponed is equals 1 - P(A and B)
= 1 - 0.50
= 0.50 or 50%
Answer: The number line is attached.
1. You have the following fractions given in the problem above:

2. You can write them in decimal form by dividing the numerator and the denominator. Keeping this on mind, you have:




3. Now, you can put these positive numbers in the number line, as you can see in the figure attached.
Answer:
x = -6
Step-by-step explanation:
In this equilateral triangle, all sides are congruent. Thus, all angles are generally congruent as well. This is a 60-60-60 triangle. So,
66 + x = 60
x = -6
Use the slope formula y2 - y1/x2 - x1. That would be -5 — 15/-8 — -2. Simplified, that would be 10/3, or 3.3. Hope this helps! :)