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mote1985 [20]
3 years ago
11

A data set contains three points, and two of the residuals are -10 and -20. What is the third residual?

Mathematics
1 answer:
kap26 [50]3 years ago
5 0

The residuals of any data set should get added to zero. If there are three residuals (say A, B, and C) in any data set, then it could be written as A + B + C = 0.

Given are the two residuals -10 and -20 out of three point in a particular data set.

Let's assume A = -10 and B = -20, so that we could find third value C of the given data set.

We know A + B + C = 0

(-10) + (-20) + C = 0

(-30) + C = 0

C = 30

It means that third residual must be 30.

Hence, the final answer is 30.

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The uniforms are numbered 0, 1, 2, ..., 99. That's 100 numbers. Half of them are odd and half of them are even. So the probability that any one of the uniforms is odd is 1/2 just like the probability that any one uniform is even is 1/2.

(a) The numbers on the uniforms are independent of one another. That is, the number of her cross-country uniform does not in any way determine the number on her basketball uniform and vice versa. This means that we can find the probability that each is odd and multiply these together using what is called the counting principle. The probability that all are odd is:
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(b) This is done the same way we did part (a). Since the probability of any one uniform being odd is the same as it being even (1/2), the answer here is the same: (1/2)(1/2)(1/2)=1/8

(c) This problem differs from that in (a) and (b). There is only one way for all three uniforms to be odd numbers: (odd, odd, odd) or all even (even, even, even). However, there are multiple ways for the uniforms to be two odd and one even. If the uniforms are listed in order: cross-country, basketball, softball we can get exactly one even in any of three ways:
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