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quester [9]
3 years ago
11

The value of U.S exports to China increased from $1480 million in 2011 to $2768 million

Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0

The percentage of increase was 87.027... %

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

The value of U.S exports to China increased from $1480 million to $2768 million.

Suppose, the percentage of increase is  x\%

So, <u>the amount of increase</u> = x\% of 1480 =1480*\frac{x}{100}=14.8x

Thus, the equation will be......

14.8x= 2768-1480\\ \\ 14.8x=1288\\ \\ x= \frac{1288}{14.8}=87.027....

So, the percentage of increase was 87.027... %

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A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace?
alexandr1967 [171]

Answer:

The probability that the last card dealt is an ace is \frac{1}{13}.

Step-by-step explanation:

Given : A deck of ordinary cards is shuffled and 13 cards are dealt.

To find : What is the probability that the last card dealt is an ace?

Solution :

There are total 52 cards.

The total arrangement of cards is 52!.

There is 4 ace cards in total.

Arrangement for containing ace as the 13th card is 4\times 51!.

The probability that the last card dealt is an ace is

P=\frac{4\times 51!}{52!}

P=\frac{4\times 51!}{52\times 51!}

P=\frac{4}{52}

P=\frac{1}{13}

Therefore, the probability that the last card dealt is an ace is \frac{1}{13}.

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3 years ago
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Below are some data examining whether reading the textbook for this course is related to class enjoyment.
Reil [10]

Answer:

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Step-by-step explanation:

I will first create a table

X. Y. XY. X²

1. 20. 20. 1

2. 24. 48. 4

3. 35. 105. 9

4. 46. 184. 16

5. 67. 335. 25

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1. 12. 12. 1

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3. 34. 102. 9

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The formula for regression line is given as :

Y = a + bX

a = intercept

b = slope

The question requires us to find b which is the slope.

b = nΣXY-ΣXΣY/nΣX²-(ΣX)²

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b = 13.36

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3 years ago
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Answer:

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2 years ago
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