These angles are equal due to the interior angles rule in which alternating interior angles are congruent
therefore 5x+12=117
5x=105
x=21
Answer: 7 hours 15 minutes, 6 hours 45 minutes, 5 hours 12 minutes, 6 hours 6 minutes
Step-by-step explanation:
7 1/4 hours = 7 hours + 1/4 × 60 = 7 hours 15 minutes
6 3/4 hours = 6 hours +3/4 × 60 = 6 hrs 45 mins.
5 1/5 hours = 5 hours + 1/5 × 60 = 5 hrs 12 mins.
6 1/10 hours = 6 hours + 1/10 × 60 = 6 hours 10 mins.
Answer:
A: $900 B: $270
Step-by-step explanation:
You multiply 75% by every single number.
Multiply 675 by 40%.
Since the standard deviation is not given, we assume the process is a Poisson process, with mean 12000 miles.
From Poisson distribution tables, we see that with a value of lambda(mean)=12000, the lower tail probability for x=12140 miles is 0.9000105, which means that the 90 percentile is 12140 miles.
The lower-tail probability of 9000 miles is 6.2*10^(-181) which is essentially zero.
NOTE: if the problem were modelled with a normal distribution, the probabilities would be completely different.
Marcia has run 1 4ths while, Tamara has done 3 4ths of the race. Marcia has to do 3 4ths left, and Tamara has to do 1 4ths left.