Answer:
C
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent.
Thus
∠ M = ∠ P, that is
5x - 19 = 3x + 20.4 ( subtract 3x from both sides )
2x - 19 = 20.4 ( add 19 to both sides )
2x = 39.4 ( divide both sides by 2 )
x = 19.7
Thus
∠ P = 3x + 20.4 = 3(19.7) + 20.4 = 59.1 + 20.4 = 79.5° → C
Answer:
25 + 0.15m = 71.8
Step-by-step explanation:
Given:
Fixed charge = $25
Additional charge for each mile = $0.15
Let number of miles driven be m.
Total Billed amount = $71.80
Now total bill amount is calculated by adding fixed charge with additional charge for each mile times number of miles.
Hence,
Total Billed amount = Fixed charge + Additional charge for each mile × number of miles driven
25 + 0.15m = 71.8
Hence the equation is 25 + 0.15m = 71.8.
Answer:
0
Step-by-step explanation:
3/2 minus 3/2 is 0, then multiply 0 by 1/6 and you get 0
Answer:
85.56% probability that less than 6 of them have a high school diploma
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
50% of adult workers have a high school diploma.
This means that
If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma
This is P(X < 6) when n = 8.
In which
85.56% probability that less than 6 of them have a high school diploma