Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole numb
1 answer:
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Answer:
Mean of the data set in the dot plot would be: 3.6
Step-by-step explanation:
As we know that Mean from the dot plot can be obtained by:
- adding the numbers and then
- divide the resulting sum by the number of addends.
Please check the attached figure where the dot plot is also plotted.
From the dot plot, it is clear that
There are 3 dots at 1.
There are 4 dots at 2.
There are 3 dots at 3.
There are 4 dots at 4.
There are 5 dots at 5.
There are 3 dots at 6.
All we have to do is to add the dots and divide the sum by the number of addend dots.
In other words:
There are 3 dots at 1 ⇒ 1+1+1
There are 4 dots at 2 ⇒ 2+2+2+2
There are 3 dots at 3 ⇒ 3+3+3
There are 4 dots at 4 ⇒ 4+4+4+4
There are 5 dots at 5 ⇒ 5+5+5+5+5
There are 3 dots at 6 ⇒ 6+6+6
As there are total 22 dots.
And the sum of all the dots with respect to their plot number = 79
i.e. 1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6 = 79
Thus
Mean of the data set in the dot plot = 79/22
= 3.6
Therefore, Mean of the data set in the dot plot would be: 3.6
If p and q are both true, then
is an implication of the form
which is true, because every implication starting with false is true, i.e.
So, we're looking for an expression evaluating to true. Let's see what we have:
A) is an AND proposition. Logical AND is true only if both parts are true. So, you have
So it's not the right option.
B) is an OR proposition. Logical OR is true whenever one of the two parts is true. So, you have
So it's not the right option.
C) is again an AND proposition. You have
So this is not the right option.
D) Finally, the last one is again an implication, and again it starts with false:
So this is true, and thus is the correct option.