Answer:
<em>f(x)=(g(x))^2 is an even function.</em>
Step-by-step explanation:
We are given that g(x) is an odd function.
we have to determine that among the four options which are an even function.
(a) f(x)=g(x)+2
let g(x)=x ; is an odd function.
Then f(x)=x+2
on computing f(-x)= -x+2
We see that f(-x)≠f(x).
Hence f(x) is not an even function.
Hence, option (a) is incorrect.
(b) f(x)=g(x)+g(x)=2g(x)
as g(x) is an odd function.
so let g(x)=x
f(x)=2x
f(-x)= -2x.
here also we get f(-x)≠f(x).
Hence f(x) is not an even function.
(d) f(x)= -g(x)
Let g(x)=x which is an odd function.
Then f(x)= -x
also f(-x)=x
Here also f(-x)≠f(x)
Hence f(x) is not an even function.
Hence (a),(b) and (d) are incorrect. We are left with option (c).
Also let us consider :
(c) f(x)= (g(x))^2
as square of an odd function is an even function.
Hence f(x) is an even function.
Answer:
Since 
, the difference is significant.
Step-by-step explanation:
Z-score:
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If |Z| > 2, the measure X is significent.
In this question:
So
Since , the difference is significant.
Answer:
Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12. A positive integer greater than 1, or an algebraic expression, that has only two factors (i.e., itself and 1) is termed prime; a positive integer or an algebraic expression that has more than two factors is termed composite. The prime factors of a number or an algebraic expression are those factors which are prime. By the fundamental theorem of arithmetic, except for the order in which the prime factors are written, every whole number larger than 1 can be uniquely expressed as the product of its prime factors; for example, 60 can be written as the product 2·2·3·5.
Answer:
4/6 or 2/3. Depends if your teacher wants it reduced.
Step-by-step explanation:
Each number has a 1 out of 6 chance to be rolled. so it's 1/6 for rolling a 3, 1/6 for rolling a 4, 1/6 for rolling a 5, and 1/6 for rolling a 6. 4 x 1/6 = 4/6
Answer:
4%
25 x FOUR is 100 so 4 is the answer
