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natali 33 [55]
3 years ago
11

-2(3y - 6) + 4(5y - 8) = 92

Mathematics
2 answers:
Whitepunk [10]3 years ago
3 0

Answer:

y = 8

Step-by-step explanation:

-2(3y - 6) + 4(5y - 8) = 92\\\\\mathrm{Expand\:}-2\left(3y-6\right)+4\left(5y-8\right):\quad 14y-20\\14y-20=92\\\\\mathrm{Add\:}20\mathrm{\:to\:both\:sides}\\14y-20+20=92+20\\\\Simplify\\14y=112\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14y}{14}=\frac{112}{14}\\\\Simplify\\y= 8

zepelin [54]3 years ago
3 0

Answer:

Step-by-step explanation:

-6y + 12 + 20y - 32 = 92

14y -20 = 92

14y = 112

y = 8

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According to Sturge's rule, number of classes or bins recommended to construct a frequency distribution is k ≈ 7

Sturge's Rule: There are no hard and fast guidelines for the size of a class interval or bin when building a frequency distribution table. However, Sturge's rule offers advice on how many intervals one can make if one is genuinely unable to choose a class width. Sturge's rule advises that the class interval number be for a set of n observations.

Given,

n = 66

We know that,

According to Sturge's rule, the optimal number of class intervals can be determined by using the equation:

k=1+log_{2} n

Here, n is equal to 66 and by substituting the value to the equation we get:

k=1+log_{2} (66)

k = 7.0444

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Learn more about Sturge's rule here: brainly.com/question/28184369

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8 0
1 year ago
Evan wants to split his
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Answer:

$595

Step-by-step explanation:

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5 0
2 years ago
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To celebrate there 125 anniversary, a company in Germany produced 125 very expensive teddy bears. The bears,known as the "125 ka
liq [111]

Answer:

The cost of one bear is <u>$47,000</u>.

Step-by-step explanation:

The question is incomplete and the data is missing so the complete question with data is below with attached files:

To celebrate there 125 anniversary, a company in Germany produced 125 very expensive teddy bears. The bears,known as the "125 karat teddy bears", are made mohair,silk and gold thread and have diamond and sapphire eyes.

The chart shows the approximate cost of " 125 teddy bears". Based on the pattern, how much does one bear cost?

Now, to get the cost of one bear.

So, we solve it by using unitary method:

If 4 bears cost = $188,000.

Then 1 bear cost = 188000\div 4=47000

Thus, cost of one bear is $47,000.

Now, we check it by using another pattern of the data:

If 7 bears cost = $329,000.

Then 1 bear cost = 329000\div 7=47000.

Hence, the cost of one bear is $47,000.

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3 years ago
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Answer:

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Step-by-step explanation:

The question lacks the graph to be able to solve it, I was doing a little research and I could find the graph which I will attach:

Already with the figure we can solve the question.

We have that the average exchange rate in this case would only take the normal slope between those 2 lines

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m = (y2-y1) / (x2 - x1)

From the graph we have to:

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