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KatRina [158]
2 years ago
7

A group of friends will buy at most 8 snacks at a movie theater and spend no more than $42. They will pay $4 for each box of can

dy and $7 for each bag of popcorn. The system of inequalities graphed below represents this information. Which combination of boxes of candy and bags of popcorn could the group buy?
Mathematics
1 answer:
Helen [10]2 years ago
5 0

Answer:

3 boxes of candy will cost $12 and 4 bags of popcorn will cost $28, adding the two gives us $40. They are only allowed to spend 42 dollars

Step-by-step explanation:

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A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70
TEA [102]

Answer:

She needs to sample 189 trees.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The standard deviation of the population is 70 peaches per tree.

This means that \sigma = 70

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

M = z\frac{\sigma}{\sqrt{n}}

10 = 1.96\frac{70}{\sqrt{n}}

10\sqrt{n} = 1.96*70

Dividing both sides by 10:

\sqrt{n} = 1.96*7

(\sqrt{n})^2 = (1.96*7)^2

n = 188.2

Rounding up:

She needs to sample 189 trees.

3 0
3 years ago
Find the quotient.
vladimir2022 [97]
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2 years ago
In DEFG, what is DF?
vampirchik [111]
First you must find X by setting the sides equal to each other. from that you know x=4 then plug that into the w/ they give you the Equation to. = 6then multiply by 2 and you get 12
4 0
2 years ago
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Allushta [10]
6 + 8 = 14

1/5 + 4/5 = 5/5 or 1

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3 years ago
Read 2 more answers
1.924 in expanded form and word
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Word: One and nine hundred twenty four thousandths
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3 years ago
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