Which expression is equivalent to 4/9 x 2
2 answers:
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Let x be the number of people that can be seated.
The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that
which is the same as saying 
The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have
indicating that x can be less than 1200 or equal to 1200.
So putting the two inequalities together, we get
Note: if you haven't learned about compound inequalities yet, then the teacher may only want as the answer.
The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that
The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have
So putting the two inequalities together, we get
Note: if you haven't learned about compound inequalities yet, then the teacher may only want
Answer:
And the best option would be:
D. (0.191 to 0.249)
Step-by-step explanation:
For this case we know that the mean is:
And the standard error is given by:
We want to construct a 68% confidence interval so then the significance level would be :
and
. The confidence interval is given by:
Now we can find the critical value using the normal standard distribution and we got looking for a quantile who accumulate 0.16 of the area on each tail and we got:
And replacing we got:
And the best option would be:
D. (0.191 to 0.249)