Your tip total will be $5.30 and your bill total will be $31.80 after tip.
Answer:
1.2%
Step-by-step explanation:
We are given that the students receive different versions of the math namely A, B, C and D.
So, the probability that a student receives version A = 
.
Thus, the probability that the student does not receive version A = 
= 
.
So, the possibilities that at-least 3 out of 5 students receive version A are,
1) 3 receives version A and 2 does not receive version A
2) 4 receives version A and 1 does not receive version A
3) All 5 students receive version A
Then the probability that at-least 3 out of 5 students receive version A is given by,
+
+
= 
= ![(\frac{1}{4})^3\times (\frac{3}{4})[\frac{3}{4}+\frac{1}{4}+(\frac{1}{4})^2]](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D%29%5E3%5Ctimes%20%28%5Cfrac%7B3%7D%7B4%7D%29%5B%5Cfrac%7B3%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B4%7D%2B%28%5Cfrac%7B1%7D%7B4%7D%29%5E2%5D)
= ![(\frac{3}{4^4})[1+\frac{1}{16}]](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%5E4%7D%29%5B1%2B%5Cfrac%7B1%7D%7B16%7D%5D)
= ![(\frac{3}{256})[\frac{17}{16}]](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B256%7D%29%5B%5Cfrac%7B17%7D%7B16%7D%5D)
= 0.01171875 × 1.0625
= 0.01245
Thus, the probability that at least 3 out of 5 students receive version A is 0.0124
So, in percent the probability is 0.0124 × 100 = 1.24%
To the nearest tenth, the required probability is 1.2%.
Answer:
A unit rate is the rate of change in a relationship where the rate is per 1.
The rate of change is the ratio between the x and y (or input and output) values in a relationship. Another term for the rate of change for proportional relationships is the constant of proportionality.
If the rate of change is yx, then so is the constant of proportionality. To simplify things, we set yx=k, where k represents the constant of proportionality.
If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.
To find y in a direct variation equation, multiply x by the constant of proportionality, k.
For example: Given the relationship y=7x, the constant of proportionality k=7, so if x=3, then y=3×7 or 21.
Given the same relationship, if x=7, then y=7×7, or 49.
Step-by-step explanation:
Answer:
Occam’s razor theory.
Step-by-step explanation:
This theory is known as Occam’s razor theory.
It's a theory based on the principle whereby we give precedence to simplicity. It states that out of two competing theories, the one with the simpler explanation of an object should be embraced over the other. The reason is that the philosopher William of Ockham said that "objects are not meant to be multiplied beyond absolute necessity.”
This definition resonates with what is explained in the question.
Thus, the theory is as explained.
