Answer:
The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.
Step-by-step explanation:
According to DeMorgan's Theorem:
(W.X + Y.Z)'
(W.X)' . (Y.Z)'
(W'+X') . (Y' + Z')
Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.
For the original function:
(W . X + Y . Z)'
= (1 . 1 + 1 . 0)
= (1 + 0) = 1
For the compliment:
(W' + X') . (Y' + Z')
=(1' + 1') . (1' + 0')
=(0 + 0) . (0 + 1)
=0 . 1 = 0
Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.
Without the parenthesis the compliment equation looks like this:
W' + X' . Y' + Z'
1' + 1' . 1' + 0'
0 + 0 . 0 + 1
Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.
Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.
Answer:
The correct option is B. two oxygen atoms
Step-by-step explanation:
The molecular formula for carbon dioxide is given by :
Here, the alphabet C stands for Carbon and the alphabet O stands for Oxygen.
And the prefixes of each of these words represents the number of atoms present of the corresponding element in one molecule of carbon dioxide.
So, The prefix of the first word that is C is 1
⇒ One molecule of carbon dioxide contains one atom of Carbon.
The prefix of the second word that is O is 2
⇒ One molecule of carbon dioxide contains 2 atoms of Oxygen.
Therefore, The correct option is B. two oxygen atoms
Answer:
Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:
B.t
Step-by-step explanation:
Notation
represent the mean for male king penguins
represent the mean for the female king penguins
represent the sample standard deviation for the sample male
represent the sample standard deviation for the sample female
sample size for the male penguins
sample size for the female penguins
t would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to check if the male king penguins weigh more than female king penguins, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we assume that we don't know the population deviations we need to use a t test to check the hypothesis, and the best answer is:
B.t
Answer: Hello mate!
A direct variation implies that, if y is the dependent variable that varies with the variable x; then: y = k*x where k is a real number.
An inverse variation has the form y = k/x where also k is a real number.
them, if we define s as the hours that Bob spends studying, and b as the hours that he spends playing baseball, then the equation that represents the score is:
Score(s,b) = k*s/b
we know that if s = 6, and b = 7, then the score is 72; with this information, we could obtain the value of the constant k.
score(6,7) = 72 =k*6/7 = k*
then k = 72*(7/6) = 61.7
now if s = 4 and b = 6, the score that he should expect is:
score( 4, 6) = 61.7*(4/6) = 41
Solution: We are given:
We need to find the test statistic in order to test the claim that the mean weight of all green candies is equal to 0.8535
We know that the test statistic is:
Therefore, the test statistic is 
Hence the option -1.36 is correct.
