Answer:
A function is a relation in which each input has only one output. In the relation, y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y.
Step-by-step explanation:
For every x there is exactly one y value. We can forgive a function if some values of x do not have a y, but if there is more than one y for even one value of x, then the relation is not a function.
Answer:
--6+36m
Step-by-step explanation:
So first step is to simplify everything outside of the radicals.
6*2=12
:. The expression is
__ __
12*\| 8 * \| 2
Now we know that
__ __ __
\| 8 = \| 4 * \| 2
And
__ __
\| 2 * \| 2 = 2
And
__
\| 4 = 2
So if we incorporate what we know into the equation, we can figure it out.
So let's first expand the radical 8.
__ __ __
12*\| 4 * \| 2 * \| 2
Now by simplifying the radical four and combining the radical twos, we can get all whole numbers.
12*2*2
Which equals 48.
Answer:48
Answer:
D. If John owns a dog, then he owns a cat
Step-by-step explanation:
The implication p → q (if p, then q) has the same truth table as the logical expression ~p∨q. You have the expression ...
~(John owns a dog) ∨ (he owns a cat)
Matching parts of this expression to the components of the expression ~p∨q, we see we can choose ...
- p = John owns a dog
- q = he owns a cat
and put those into the structure of the implication: if p, then q.
If John owns a dog, then he owns a cat. . . . . matches choice D
Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
