Answer:
Box of Popcorn: $3.00
Drink: $2.00
Step-by-step explanation:
If we input the prices into the original problem it would be something like this, (2)3.00 + (3)2.00 = $12.00 (3+3 = 6 and 2 + 2 + 2 = 6 6+6= 12) Or 2x + 3x = $12
And you would do the same thing for the second one.
(3)3.00 + (5)2.00 = $19.00 ( 3 + 3 + 3 = 9 and 2 + 2 + 2 + 2 +2 = 10 10+9= 19) Or 3x + 5x = $19
Sorry if it's incorrect but i hope it helps!
Hey!
It says that it is the sum of 3 consecutive odd integers right?
So then we give these numbers some variables to work with like so...
x = 1st number
x + 2 = 2nd number
x + 4 = 3rd number
now set all of them equal to 207
x + x + 2 + x + 4 = 207
3x + 6 = 207
3x = 201
<u>x = 67</u><u /> <u>x + 2 = 69</u><u /> <u /><u /> <u>x + 4 = 71
</u><u>
</u>
Using the Central Limit Theorem, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.
<h3>What does the Central Limit Theorem state?</h3>
- It states that the sampling distribution of sample means of size n has standard deviation
.
- By the Empirical Rule, 95% of the sample means fall within 2 standard errors of the mean.
In this problem, we have that the standard deviation and the sample size are given as follows:

Hence the standard error is given by:
[tex]s = \frac{10.34}{\sqrt{400}} = 0.517.
Two standard errors is represented by:
2 x 0.517 = $1.034.
Hence, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.
More can be learned about the Central Limit Theorem at brainly.com/question/24663213
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29.1 rounded to the nearest whole number is 29.