Answer: 30°
Step by step explanation:
1) Supplementary angles add up to 180°
2) (2x+10)+(5x-40)=180
3) solve for x
4) x=30
Answer:
Let us consider the expression:
(1)
Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign
And adding if powers are with opposite sign.
We will solve equation (1) by this quotient of power rule.
So, it can be rewritten as:
.
Step-by-step explanation:
(a) If his second pass is the first that he completes, that means he doesn't complete his first pass.
P = P(not first) × P(second)
P = (1 − 0.694) (0.694)
P ≈ 0.212
(b) This time we're looking for the probability that he doesn't complete the first but does complete the second, or completes the first and not the second.
P = P(not first) × P(second) + P(first) × P(not second)
P = (1 − 0.694) (0.694) + (0.694) (1 − 0.694)
P ≈ 0.425
(c) Finally, we want the probability he doesn't complete either pass.
P = P(not first) × P(not second)
P = (1 − 0.694) (1 − 0.694)
P ≈ 0.094
The number of ways of choosing 4 digits from 10 digits without replacement ( order is important) is 
. This is the number of all possible permutations of choosing 4 from 10. The first 4 numbers of your phone number is a unique 4 digit number(4 different digits). The required probability is
