Y = 3x - 24 5x - y = 8

Mathematics

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Anuta_ua [19.1K]3 years ago

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A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue.

aliya0001 [1]

Answer: Use 1.75 cups of blue and 1 cup of yellow

Step-by-step explanation:

The given problem can be placed in the category of ratios and proportions. There is a ratio of color mixing which contains the proportion of two colors i.e blue and yellow. When we use 2 cups of yellow with 3.5 cups of yellow then we get green color so if we mix half of their amounts then we can get less or simply half amount of color too. Hence adding 1 cup of yellow and 1.75 cup of blue will give us small amount in result.

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3 years ago

Determining Whether a Difference Is Statistically

SCORPION-xisa [38]

Using the z-distribution, it is found that:

The 95% confidence interval is of -1.38 to 1.38.

The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.

<h3>What is the z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm zs$

In which:

$\overline{x}$ is the difference between the population means.

s is the standard error.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.