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Marat540 [252]
3 years ago
6

Can you please explain how you did it. Thanks!

Mathematics
2 answers:
vivado [14]3 years ago
5 0
Well first you would start by setting up with a proportion.
In total, the girls paid $54+$22= $76
Thus 1 sister contributed $54/$76=x/100
The other sister contributed $22/$76=x/76
For each proportion, cross-multiply and simplify to get the percentage. The percentage will be the x
Lyrx [107]3 years ago
4 0
You and your sister bought your mom a gift.
You paid $54 and your sister paid $22.
Because 54 + 22 = $76, the gift cost a total of $76.

To figure out what percentage each sister paid, you divide what they paid by the total cost.

Thus, because you paid $54, the percentage of the gift that you bought is 54/76 ≈ 0.71 = 71%

Therefore, because your sister paid $22, the percentage of the gift that she bought is 22/76 ≈ 0.29 = 29%

You bought 71% of the gift and your sister bought 29% of the gift.
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The shape of the distribution of the time required to get an oil change at a 10 minute oil change facility is unknown. However,
lyudmila [28]

Answer:

The answer is below

Step-by-step explanation:

a) For a normal model the sample size has to be equal or greater than 30 so that it can be a normal distribution.

b) Given that:

μ = 11.2 minutes, σ = 4.8 minutes, n = 45

The z score determines how many standard deviations the raw score is above or below the mean. It is given by:

z=\frac{x-\mu}{\sigma} \\For\ a\ sample\ size(n)\\z=\frac{x-\mu}{\sigma/\sqrt{n} }

For x < 10 minutes

z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\ z=\frac{10-11.2}{4.8/\sqrt{45} }= -1.68

Therefore from the normal distribution table, P(x < 10) = P(z < -1.68) =  0.0465

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3 years ago
Which expression is equivalent to 4x-6x+12-20-5x
Veseljchak [2.6K]
Please list the answer options. I can solve but I need the answer options.
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3 years ago
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6 0
3 years ago
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Find two consecutive even integers such that the smaller added to three times the larger gives a sum of 54
REY [17]
Let n be the first even integer, and n+2 will be the second even integer. (Why? Think 2 and 4, 2+2=4. This is the case for every consecutive even integers).

n + 3(n+2) = 54
n + 3n + 6 = 54
4n = 48
n = 12, n+2 = 14
7 0
3 years ago
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