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3 years ago

8

A mixed of purple paint contains 4 teaspoons of red paint and 10 teaspoons of blue paint.To make the same shade of purple paint

using 40 teaspoons of blue paint how much red would you need? A.12 B.14 C.16 D.160

1 answer:

lina2011 [118]3 years ago

5 0

Answer:

Number of teaspoon of red paint = 16

Step-by-step explanation:

Given:

Mixture contain = 4 teaspoon red paint and 10 teaspoons blue paint

New Mixture = 40 teaspoons blue paint

Find:

Number of teaspoon of red paint

Computation:

4 teaspoon red paint / 10 teaspoons blue paint = Number of teaspoon of red paint / 40 teaspoons blue paint

Number of teaspoon of red paint = 16

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3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circu

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Answer:

a

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

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b

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Step-by-step explanation:

From the question we are told that

The sample size is n = 10

The population mean is $\mu = 13.4 000 \ angstroms$

The level of significance is $\alpha = 0.05$

The sample data is

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

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Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }$

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The alternative hypothesis is $H_a : \mu \ne 13.4000$

Generally the test statistics is mathematically represented as

$z = \frac{\= x - \mu}{\frac{\sigma}{\sqrt{n} } }$

=> $z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }$

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$p-value = 2P( z > 3.08)$

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$p-value < \alpha$

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