If you reduce 50:125 it will be 2:5.
Plates needed=(b+c)/p
Let's say she has a total of 70 buns and cookies. And she wants to put 5 of one or the other on each plate. Then, she needs 70/5, or 14 plates
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Answer:
y = 1x + 2
Step-by-step explanation:
To fill in slope intercept form(y = mx + b) identify the initial value(b) and slope(m).
The initial value is the y coordinate when the x coordinate is 0. It is also known as the point where the line crosses the y axis. This point on the graph is (0, 2). So, the initial value is 2.
Slope is identified by finding a point on the graph that the line passes through and creating a right triangle to a point that is even with both point. Then, divide the y coordinate of that point by its x coordinate. One coordinate you could use is point (-2, 2). 2 divided by -2 is -1. But, since the line has a positive association, the slope is going to be a positive number. So, the slope is 1.
Now fill in the the slope intercept form.
y = mx + b ---> y = 1x + 2
Answer:
Choice D
Step-by-step explanation:
You would add up all the numbers then insert the total into the denominator. Lastly you would look at the amount of jelly treats then insert it into the numerator.
Answer:
The mean of the number of restaurants that failed within a year is 28.38 and the standard deviation is 4.02.
Step-by-step explanation:
For each restaurant, there are only two possible outcomes. Either it fails during the first year, or it does not. The probability of a restaurant failling during the first year is independent of other restaurants. 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 standard deviation of the binomial distribution is:
![\sqrt{V(X)} = \sqrt{np(1-p)}](https://tex.z-dn.net/?f=%5Csqrt%7BV%28X%29%7D%20%3D%20%5Csqrt%7Bnp%281-p%29%7D)
In the city where she lives, the probability that an independent restaurant will fail in the first year is 43 %.
This means that ![p = 0.43](https://tex.z-dn.net/?f=p%20%3D%200.43)
66 independent restaurants
This means that ![n = 66](https://tex.z-dn.net/?f=n%20%3D%2066)
Mean:
![E(X) = np = 66*0.43 = 28.38](https://tex.z-dn.net/?f=E%28X%29%20%3D%20np%20%3D%2066%2A0.43%20%3D%2028.38)
Standard deviation:
![\sqrt{V(X)} = \sqrt{np(1-p)} = 4.02](https://tex.z-dn.net/?f=%5Csqrt%7BV%28X%29%7D%20%3D%20%5Csqrt%7Bnp%281-p%29%7D%20%3D%204.02)
The mean of the number of restaurants that failed within a year is 28.38 and the standard deviation is 4.02.