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emmasim [6.3K]
3 years ago
14

Worth 15 POINTS! Create a story for the equation y= -2x + 14

Mathematics
1 answer:
Ierofanga [76]3 years ago
3 0

-2x+14 is the same as 14 - 2x

Let's say you started off with $14. If you want to buy a soda worth $2, then you have 14-2 = 12 dollars left. If you buy two sodas, then you spend 2*2 = 4 dollars with 14-4 = 10 dollars left.

In general, buying x sodas will cost you 2*x dollars and you have 14 - 2x dollars left over. The x is simply a placeholder for a whole number. For example, if x = 3, then...

14 - 2x = 14 - 2*3 = 14 - 6 = 8

meaning buying 3 sodas cost you $6 and you have $8 left over.

If y is the amount left over, then we can say y = 14 - 2x which is equivalent to y = -2x+14

note: graphing this equation will go through the two points (0,14) and (7,0) as shown in the image below. A graph is handy to help see various points on the line. Each point represents the amount of sodas you can buy (x) and the amount left over in your pocket (y). Keep in mind that neither x nor y can be negative, so it only makes sense to restrict the graph.

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Answer:

|Z| = |-1.36| < 1.645 at 0.1 level of significance

The null hypothesis is accepted

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Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given mean of the Population(μ) = 449

The Standard deviation of the population(σ) = 22

size of the sample 'n' = 36

mean of the sample(x⁻) = 444

Given the level of significance(α) = 0.1

Critical value Z = 1.645

<u><em>Step(ii):</em></u>-

<em>Null hypothesis</em>:H₀:

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449.0

(μ) = 449

<em>Alternative Hypothesis</em>:H₁: (μ) ≠ 449

Test statistic

                  Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } } \\= \frac{444-449}{\frac{22}{\sqrt{36} } }

                 = -1.36

<em>Final answer:-</em>

|Z| = |-1.36| < 1.645 at 0.1 level of significance

The null hypothesis is accepted

A manufacturer of banana chips are filling machine works correctly at the mean 449

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