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Tems11 [23]
3 years ago
11

Convert the following decimal to a fraction using Infinite Geometric Series.

Mathematics
2 answers:
kotykmax [81]3 years ago
7 0

Refer to the attachment.

GalinKa [24]3 years ago
5 0

Answer:

• let 5.477477477 be x

{ \rm{x = 5.477477477 \:  -  -  -  \{eqn(i) \}}}

• Then let's find 1000x:

{ \rm{1000x = (1000 \times 5.477477477)}} \\  \\ { \rm{1000x = 5477.477477 -  -  -  \{eqn(ii) \}}}

• let's subtract eqn(i) from eqn(ii):

{ \rm{ \underline{  - \binom{1000x}{x} } = { \underline{  - \binom{5477.477477}{5.477477477}  }}}} \\ { \rm{999x = 5472 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }} \\  \\ { \rm{x =  \frac{5472}{999} }}

<u>Answer</u><u>:</u><u> </u><u>5</u><u>4</u><u>7</u><u>2</u><u>/</u><u>9</u><u>9</u><u>9</u>

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Write an equation in point-slope form of the line through point J(-8,10) with slope -5.
mafiozo [28]
Point-slope form is y - y1 = m(x - x1). If you apply that point and the slope to the formula (hence the name point-slope), you'd get y - 10 = -5(x + 8).

Hope this helps! :)

REVISE: I accidently put y instead of x in the -5(x + 8) part. It's fixed now.
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4 years ago
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Answer:

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3 years ago
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When rolling two 6-sided dice, what is the probability of rolling a sum of 7 and 11?
RSB [31]

Answer:

We have two 6-sided dice.

Each one of them has 6 possible outcomes.

The total number of outcomes for the pair, will be equal to the product between the numbers of outcomes for each one of them

Then the total number of outcomes is:

C = 6*6 = 36.

The number of outcomes where the sum of the dice are 7 are:

1 and 6

6 and 1

2 and 5

5 and 2

3 and 4

4 and 3

So we have 6 outcomes where the sum of both numbers is equal to 7.

The probability of rolling a pair such that the sum is equal to 7, is equal to the quotient between the number of outcomes that meet this condition (6) and the total number of outcomes (36)

The probability is:

P = 6/36 = 1/6

Now let's do the same for 11.

The outcomes where the sum is 11 are:

5 and 6

6 and 5

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5 0
3 years ago
Help with #17 please
ohaa [14]
2 evens is an positive
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8 0
3 years ago
The exchange rate between non-fixed currencies continuously fluctuates. The following table shows the exchange rate of pounds st
liubo4ka [24]

The <em>correct answer</em> is:

B) INS 38.35

Explanation:

The day with the best exchange rate is Friday; the rate is 1:6.1715. Converting 88.65£ with this rate, we have:

88.65(6.1715) = 547.103475.

Since he is charged an 8% surcharge, he gets to keep 100%-8% = 92% = 92/100 = 0.92 of this:

0.92(547.103475) = 503.335197

The day with the worst exchange rate is Wednesday, with a rate of 1:5.7012. Converting 88.65£ at this rate,

88.65(5.7012) = 505.41138. 4

0.92(505.41138) = 464.9784696

The difference between Friday and Wednesday is:

503.335197-464.9784696 = 38.3567274, or 38.35.

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3 years ago
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