3(3x9)
3x3=9
3x9=27
9+27=36
Use the opposite reciprocal of the slope of the known line segment, then plug the point given as well as the opposite reciprocal of the slope into y = mx + b
Answer:
The best estimate of the number of times out of 39 that Ariana is on time to class is 27.
Step-by-step explanation:
For each class, there are only two possible outcomes. Either Ariana is on time, or she is not. The probability of Ariana being on time for a class is independent of other classes. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The probability that Ariana is on time for a given class is 69 percent.
This means that
If there are 39 classes during the semester, what is the best estimate of the number of times out of 39 that Ariana is on time to class
This is E(X) when n = 39. So
Rounding
The best estimate of the number of times out of 39 that Ariana is on time to class is 27.
Answer:
10.5 denarii
Step-by-step explanation:
Step 1: Initially Doubled his money in Lucca and spent 12 denarii
Let's assume the initial money he had before he did anything with it is x,
meaning if he doubled it in Lucca he would have (2×x)=2x, he then spent 12 denarii meaning he was left with (2x-12) denarii.
Step 2: In Florence he doubled what was left on leaving Lucca and spent 12
This is expressed as 2(2x-12)-12=4x-24-12=4x-36
(4x-36) denarii is what remained after he left Florence to Pisa
Step 3: In Pisa he doubled what was left on leaving Florence and spent 12 denarii
This is expressed as 2(4x-36)-12=8x-72-12=8x-84
Step 4: After getting back home in Pisa he was left with nothing
This is expressed as; 8x-84=0, 8x=84
solving for x by dividing both sides of the equation by 8
8x/8=84/8
x=10.5 denarii
Answer:
H = 2.9 m
Step-by-step explanation:
Volume = L x W x H
3.8 x 1.5 x H = 16.53
H = 16.53 / (3.8 x 1.5) = 2.9 m