Answer:
C
Step-by-step explanation:
f(x) = |x|: f(0) = 0, f(1) = 1, f(-1) = 1
f(x) + 5 = |x| --> f(x) = |x| - 5: f(0) = -5, f(1) = -4 f(-1) = -4
Therefore it shifts down by 5
Decimals<span> are a type of fractional number. The </span>decimal<span> 0.5 represents the </span>fraction<span>5/10. The </span>decimal<span> 0.25 represents the </span>fraction<span> 25/100. </span>Decimal fractions<span> always have a denominator based on a power of 10.</span>
Answer:
Third option
x ≠2 and x cannot be any value for which v(x) = 0
Step-by-step explanation:
In this problem we are asked to find the domain of the function

We know that
.
We know that:
Domain of U(x) is all real numbers except <em>x = 0</em>
Domain of V(x) is all real numbers except <em>x = 2</em>.
Then the domain of the composite function U(V (x)) is:
all real numbers except <em>x = 2</em>. (since <em>x = 2</em> does not belong to the domain of V(x) and all values of x for which <em>V(x) = 0</em> (since <em>x = 0</em> does not belong to the domain of U(x))
Finally the domain of
) is:
and 
Answer:
65
Step-by-step explanation:
Im to lazy to do the math
Answer:
D. A value of 0.9 is more than 2 standard deviations from the mean
Step-by-step explanation:
In the figure attached, the distribution of data is shown.
From the picture we can see that:
- The data has a standard deviation of 0.15 (= 0.5 - 0.35 = 0.65 - 0.5)
- The mean of the data is 0.5
- A value of 0.7 is more than 1 standard deviation of the mean.
- A value of 0.9 is more than 2 standard deviations from the mean (0.8 is 2 standard deviations from the mean)