Answer:
7 minutes ago How long will it take $8,250 to become $13,000 at 7.25% compound weekly? 8 minutes ago Solve Help with these two problems . 9 minutes ago 4n+6+n-2 what is the equivalent expression . 13 minutes ago BC= Round your answer to the nearest hundredth. /20.
Step-by-step explanation:
Answer:
Given,
2 cups of yellow paint is needed for every 3 cups of red paint to make a batch of orange paint,
So, the ratio of yellow paint and red paint in a batch of orange paint = 2 : 3
Make two number lines,
First one represents the multiple of 2 and second one represents the multiples of 3,
By the double number line ( shown below ),
It is clear that,
For 3 batches of orange paint, 6 cups of yellow paint and 9 cups of red paint are needed.
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:
![E(X) = np](https://tex.z-dn.net/?f=E%28X%29%20%3D%20np)
The probability that Ariana is on time for a given class is 69 percent.
This means that ![p = 0.69](https://tex.z-dn.net/?f=p%20%3D%200.69)
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
![E(X) = np = 39*0.69 = 26.91](https://tex.z-dn.net/?f=E%28X%29%20%3D%20np%20%3D%2039%2A0.69%20%3D%2026.91)
Rounding
The best estimate of the number of times out of 39 that Ariana is on time to class is 27.
Answer: 6 1/8
Step-by-step explanation:
1/8 x 2 = 1/8 x 2/1 = 2/8 = 1/4
1/4 x 3 = 1/4 x 3/1 = 3/4
3/8 x 4 = 3/8 x 4/1 = 12/8 = 1 4/8 = 1 1/2
1/2 x 3 = 1/2 x 3/1 = 3/2 = 1 1/2
5/8 x 1 = 5/8 x 1/1 = 5/8
3/4 x 2 = 3/4 x 2/1 = 6/4 = 1 2/4 = 1 1/2
Start with the big number first.
1 1/2 = 1 4/8
1 1/2 = 1 4/8
1 1/2 = 1 4/8
5/8 = 5/8
3/4 = 6/8
1/4 = 2/8
Add them all up.
1 4/8 + 1 4/8 = 2 8/8 = 3
3 + 1 4/8 = 4 4/8
4 4/8 + 5/8 = 4 9/8 = 5 1/8
5 1/8 + 6/8 = 5 7/8
5 7/8 + 2/8 = 5 9/8 = 6 1/8