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Svetlanka [38]
2 years ago
14

20 POINTS Compost costs $10 per cubic yard and topsoil costs $2 per cubic yard. Maria needs more than 10 cubic feet of topsoil.

She can spend no more than $50. The graph below represents the amount of each she can buy.
Which amounts of materials satisfy the relationship?
2 cubic yards of compost, 8 cubic yards of topsoil
4 cubic yards of compost, 5 cubic yards of topsoil
1 cubic yard of compost, 12 cubic yards of topsoil
3 cubic yards of compost, 12 cubic yards of topsoil
Mathematics
2 answers:
Morgarella [4.7K]2 years ago
8 0
I can't see the graph but let's use logic
hmm, more than 10 cubic feet of topsoil so the first and 2nd options are wrong

let's ee the costs
3rd option
10*1=10
2*12=24
10+24=34 and 34<50, that is fine

4th option
3*10=30
2*12=24
30+24=54
54>50, nope, that is over cost


answer is 3rd one
the one with 1 cubic yard compost and 12 cubic yard topsoil
kykrilka [37]2 years ago
7 0

Answer:

1 cubic yard of compost, 12 cubic yards of topsoil

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

We are given a table that  shows the estimated number of lines of code written by computer programmers per hour when x people are working.

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A)

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B)

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C)

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We make the table of these values at different values of x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

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12           382.85          315.5           321.5          320.

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Answer:

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Null Hypothesis: \mu \leq 523

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And for this case after conduct the test is FAIL to reject the null hypothesis. So then we can conclude that the claim that the number of filled overnight beds is over​ 523 is not statistically supported

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to test if the mean number of filled overnight beds is over​ 523. If X represent our random variable "number of filled overnight beds", the system of hypothesis are:

Null Hypothesis: \mu \leq 523

Alternative hypothesis: \mu > 523

And for this case after conduct the test is FAIL to reject the null hypothesis. So then we can conclude that the claim that the number of filled overnight beds is over​ 523 is not statistically supported

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