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Elodia [21]
2 years ago
5

Mrs Hong had some milk. She used of it to bake some waffles and

Mathematics
1 answer:
Sergio [31]2 years ago
7 0

<u><em>Answer:</em></u>

Mrs. Hong originally had 900 ml of milk

<u><em>Explanation:</em></u>

The complete question is in the attached image

Assume that the amount of milk Mrs. Hong originally had was x ml

<u>We are given that:</u>

1- She used \frac{1}{6} of it to bake the waffles, <u>therefore</u>:

   Amount used in baking waffles = \frac{1}{6}x ml

2- She used 300 ml to bake a pie

3- Amount left is half the original amount, <u>therefore</u>:

   Amount left = \frac{1}{2}x ml

<u>We know that:</u>

Total amount = amount used in waffles + amount used in pie + amount left

<u>Substitute with the givens and solve for x:</u>

Total amount = amount used in waffles + amount used in pie + amount left

x = \frac{1}{6}x + 300 + \frac{1}{2}x\\  \\x-\frac{1}{6}x-\frac{1}{2}x = 300\\   \\\frac{1}{3}x = 300\\  \\x = 300*3 = 900 ml

<u>This means that:</u>

She originally had 900 ml of milk

Hope this helps :)

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What is the rule used to transform ΔABC to its image?
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A website advertises job openings on its website, but job seekers have to pay to access the list of job openings. The website re
nataly862011 [7]

Answer:

The 90% confidence interval would be given by (57.006;62.994)  

Step-by-step explanation:

Previous concepts

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".  

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\bar X=60 represent the sample mean  

\mu population mean (variable of interest)  

\sigma=10 represent the population standard deviation  

n=30 represent the sample size  

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The sample mean \bar X is distributed on this way:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})  

The confidence interval on this case is given by:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)

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Using the normal standard table, excel or a calculator we see that:  

z_{\alpha/2}=1.64

Since we have all the values we can replace:

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5 0
2 years ago
Marjorie is building a dog run that is 25'8" long and 8'8" wide. How much fencing will she need if the opening is 3'6" wide and
antiseptic1488 [7]

Answer:

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Step-by-step explanation:

To find the length of fence, we have to find the perimeter first.

Given

Length = l = 25 feet 8 in

Width = w = 8 feet 8 in

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So,

we have to convert the lengths into same unit first

So,

l = (25*12)+8 = 308 in

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As the opening does not need fencing

Total fence = P - o

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=782 in

or

65 feet 2 in ..

3 0
2 years ago
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