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lakkis [162]
3 years ago
14

Two glasses of milk and 4 snack bars have a total of 66 carbohydrates​ (carbs), and 4 glasses of milk and 3 snack bars have a to

tal of 82 carbs. Determine how many carbs are in one glass of milk and in one snack bar
Mathematics
1 answer:
musickatia [10]3 years ago
5 0
2m + 4s = 66.
4m + 3s = 84.
(Double the 2 glass of milk and 4 snack bars)
4m + 8s = 132.
4m + 3s = 84.
(Take away the second equation from the first equation)
5s= 48.
s = 48/5.
s = 9.6.
4m + 3(9.6) = 84.
4m + 28.8 = 84.
4m = 84 - 28.8.
4m = 55.2.
4m/4 = 55.2/4.
m = 13.8.
In a glass of milk, there are 13.8 carbs, and in a snack bar, there are 9.6 carbs.
2(13.8) + 4(9.6) = 66.
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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} } }

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<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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