This problem can be directly solved by using a conversion
factor. Simple research will tell us that 1 gallon contains about 3.78 Liter.
Therefore the volume in Liter is:
volume = 75 gallons * (3.78 Liter / gallon)
<span>volume = 283.5 Liters</span>
The easiest way to prove equivalence is to draw out a truth table and then compare the values. I'm going to show a truth table using proposition logic, it's the same result as using predicate logic.
P(x) v Q(x)
P |Q || PvQ || ~Q->P <----Notice how this column matches the PvQ but if you were to
---|---||--------||---------- <----continue the truth table with ~P->Q it would not be equivalent
T T T T
T F T T
F T T T
F F F F
Let me know if you would like an example, if the truth table doesn't help.
Answer:
3. Standard deviation is the square root of the variance.
4. Standard deviation is useful because it has the same units as the underlying data.
Step-by-step explanation:
3. In statistics, the dispersion in a given data with respect to its mean distribution can be determined or measured by standard deviation and variance. The standard deviation of a distribution can also be determined as the square root of variance.
4. Standard deviation is measured in the same units as that of the original data. Thus it has the same units as the underlying data.
Answer:
1) 48p^2+4p-4
2)40b^2-45b+5
3)3p^2-6p+3
4)3v^2-6v+3
5)40x^2+28x+24
6)3x^2+15x+12
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
So we have the expression:

Since 5 goes into both 15 and 50, we can factor out a 5. First, rewrite the numbers as:

Factor out the 5:

So, our answer is B
And we're done!