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Oliga [24]
2 years ago
11

A belt and a wallet cost $42 while 7 belts and 4 wallets cost $213. Calculate the cost of each item.

Mathematics
2 answers:
irina1246 [14]2 years ago
6 0
4 pair × $42 = 168
3 belts cost 45 and one will cost 15
if belt costs 15 wallet will cost $27
Fittoniya [83]2 years ago
3 0
Let, the cost of a belt = x
cost of a wallet = y

Then, system of equations would be:
x + y = 42
7x + 4y = 213

Multiply 1st equation by 4, 
4x + 4y = 168
Substitute it from 2nd equation, 
3x = 45
x = 15

Now, substitute it in 1st equation, 
15 + y = 42
y = 42 - 15 = 27

In short, Belt costs $15 and wallet costs $27

Hope this helps!
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Answer:

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Alternative hypothesis: \mu > 523

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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

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Answer:

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Step-by-step explanation:

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