The Mean Absolute Deviation is commonly known as MAD. The correct statement about the situation is D.
<h3>What is the Mean Absolute Deviation?</h3>
The Mean Absolute Deviation, commonly known as MAD is the average of the difference between the mean and the data points, it can also be referred to as the average of the deviations of the data points from the mean.
Given Two months ago, the mean daily rainfall in a local city was 9.4 cm. The mean absolute deviation was 3.5 cm. Last month, the mean daily rainfall in that city was 11.5 cm, and the mean absolute deviation was 1.6 cm.
As it is known that more MAD for data points means more deviation of the data points from the mean, while it is vice versa if it is less. Therefore, we can conclude Last month, the amount of rain that fell each day varied less than the month before.
Hence, the correct statement about the situation is D.
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Answer:
Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.
Step-by-step explanation:
First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y. We conclude that f is surjective.
However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.
Note:
If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.
Ab+ac=a(b+c) where a is the greatest common factor
find greatest common factor of 10 and 50
10=1,2,5,10
50=1,2,5,10,25,50
greatest common is 10
a=10
10(1)+10(5)=10(1+5)=10(6)=60
Answer:
Step-by-step explanation:
1 m = 39.3701 in 1m = 3.28084 ft
4 m = 157.48 in 4m = 13.1234 ft
