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Dmitrij [34]
2 years ago
8

A department store paint mixer contains 4 pints of equal amounts of yellow and red paint. The shade of red that you want require

s a paint mixture that is 75% red and 25% yellow. How many pints of red paint need to be added to the paint mixer?
Mathematics
1 answer:
Sphinxa [80]2 years ago
5 0

Answer:

  8 pints

Step-by-step explanation:

The ratio of red to yellow needs to be ...

  red : yellow = 75% : 25% = 3 : 1 = 12 : 4

For the 4 pins of yellow paint in the mixer, a total of 12 pints of red paint are needed. There are already 4 pints in the mixer, so ...

  8 pints of red paint need to be added.

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Whats 1797.26 rounded to the nearest 100
yanalaym [24]

Answer:1797.3


Step-by-step explanation:


3 0
2 years ago
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Many residents of suburban neighborhoods own more than one car but consider one of their cars to be the main family vehicle. The
horrorfan [7]

Answer:

95.4% of family vehicles is between 1 and 3 years old.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 2

Standard Deviation, σ = 6 months = 0.5 year

We are given that the distribution of age of cars is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(family vehicles is between 1 and 3 years old)

P(1 \leq x \leq 3)\\\\ = P(\displaystyle\frac{1 - 2}{0.5} \leq z \leq \displaystyle\frac{3-2}{0.5}) = P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.977 -0.023 = 0.954= 95.4\%

P(1 \leq x \leq 3) = 95.4%

95.4% of family vehicles is between 1 and 3 years old.

3 0
2 years ago
A population has a standard deviation of 80. A random sample of 400 items from this population is selected. The sample mean is d
Helga [31]

Answer:

ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =80 represent the population standard deviation

n=400 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

Since the Confidence is 0.94 or 94%, the value of \alpha=0.06 and \alpha/2 =0.03, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that z_{\alpha/2}=1.8808

The margin of error is given by:

ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232

4 0
2 years ago
Each inch on a map of Roswell, New Mexico represents $0.51\text{ mile}$. If two hills in Roswell are $7$ inches apart on the map
pav-90 [236]

Answer:

3.57

Step-by-step explanation:

we know that

The scale factor on a map is equal to

\frac{1}{0.51}\frac{inch}{miles}

so

by proportion

Find how many miles are in the real life 7 inches apart on the map

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5 0
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Paul and his neighbors decided to build a fence along his farm. After three hours, they have 15 meters of fencing complete. They
Goshia [24]

Let the  be the time in hours, and  meters of fencing completed. 

We know that After three hours, they have 15 meters of fencing complete, our graph will go from the point (0,0) to the point (3,15). We also know that they decide to take a 2-hour break for lunch and then resume building the fence, so our graph will go from the point (3,15) to the the point (5,15). Finally, After four more hours, they have a fence that is a total of 55 meters long, so the final part of our graph will go from the point (5,15) to the point (9,55)


We can conclude that the graph of t vs y is:

8 0
2 years ago
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