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Alinara [238K]
3 years ago
13

cathy uses 7.9 pints of blue paint and white paint to paint her bedroom walls 3/4 of this amount is blue paint and the rest is w

hite paint how many pints of white paint did she use to paint her bedroom
Mathematics
1 answer:
umka2103 [35]3 years ago
5 0

Answer:

1.975 pints of white paint

Step-by-step explanation:

Let blue paint represents by 'b' and white paint represents by 'w'.

Then according to the question

b + w = 7.9 pints .......(1)

Amount of blue paint = \frac{3}{4} of the total amount

                                   = \frac{3}{4}\times 7.9

                                   = 5.925 pints

Hence the amount of blue paint is 5.925 pints.

Now putting the value of 'b' in equation (1)

5.925 + w = 7.9

w = 7.9 - 5.925

w = 1.975 pints

Cathy used 1.975 pints of white paint to paint her bedroom.

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18+18=36. 20% is 9  apples. 36+9=45. 45 apples at the stand. (not good for business)
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Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a ran
snow_tiger [21]

Answer:

First question: LCL = 522, UCL = 1000.5

Second question: A sample size no smaller than 418 is needed.

Step-by-step explanation:

First question:

Lower bound:

0.36 of 1450. So

0.36*1450 = 522

Upper bound:

0.69 of 1450. So

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Second question:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The project manager believes that p will turn out to be approximately 0.11.

This means that \pi = 0.11

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The project manager wants to estimate the proportion to within 0.03

This means that the sample size needed is given by n, and n is found when M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}

\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2

n = 417.9

Rounding up

A sample size no smaller than 418 is needed.

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3 years ago
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Answer:

All real numbers

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-2(y - 4) = 20 - 2y - 12

Start by distributing -2 inside the parentheses.

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Subtract 8 from both sides of the equation.

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Answer:

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<em><u>#teamtrees #PAW (Plant And Water)</u></em>

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