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natulia [17]
2 years ago
15

How can the decimal 1.245 repeating be written as a quotient of two integers?

Mathematics
1 answer:
Nikolay [14]2 years ago
7 0

Answer:

1244/999

Step-by-step explanation:

So we have 1.245245245245.... which we call x.

If we times this by 1000 (because 3 digits repeat) we get

1000x = 1245.245245245....

Subtract x from both sides:

999x = 1245.245245245... - 1.245245... = 1244

This means that x = 1244/999

This fraction cannot be simplified so this is the answer.

If you want to include the 1 in the repeating (1.2451245...) do the same but the sequence is 4 digits so times by 10000 instead.

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Determine whether the events are independent (I) or dependent (D). Place your answer in the blank provided. 1. Ramiro draws a ma
Stels [109]

Answer:

Independent events

Step-by-step explanation:

Given that:

Ramiro draws a marble from a jar without replacement and then flips a coin

Let E_1 be the event that Ramiro draws a marble without replacement and;

Let E_2 be the event of flipping a coin.

Let's have an analogy so that we can better understand the concept of independent and dependent events.

Consider a random experiment in which a marble is drawn from a jar without replacement and a fair coin is flipped together.

The event E_1  does not in any way affect the event E_2  of a head or a tail showing up in  a flip of a coin.

Therefore, we say that E_1  and E_2   are independent events.

Suppose the event  E_1  affects or influence the event E_2  , then we can say they are dependent events.

4 0
3 years ago
What root of x does the expression (x^3/8)^2/3 yield?
Yuki888 [10]
The rule for exponents of exponents is:

a^b^c=a^(b*c), in this case:

x^(3/8)^(2/3)

x^((3/8)*(2/3))

x^(6/24)

x^(1/4)

So x^(1/4) is equal to the fourth root.
3 0
3 years ago
Read 2 more answers
Simplify the expression 7h + (-8.1d) - 17 +5d - 3.7h.
Svetradugi [14.3K]

Answer:

3.3h-3.1d-17

Step-by-step explanation:

8 0
2 years ago
Convert the following equation to slope-intercept form y+5=1/2(x-8)
alexandr402 [8]

Answer: y = 1/2x - 9

Step-by-step explanation:

  • y + 5 = 1/2(x - 8)
  • y + 5 = 1/2x - 4 (distribute)
  • y = 1/2x - 9 (subtract 5 from both sides)

4 0
2 years ago
Find the solution set of the quadratic equation over the set of complex numbers.
blagie [28]
Step 1: Multiply 5x2 = 10 so the equation after the first step should look like this 10 + 12x + 8 = 0.

Step 2: Subtract 10 from the 8 and the number by itself cause whatever you do to one side you must do to the other. so the equation should look like this after the second step 12x + -2 = 0 because we subtracted the 10 and the 8.

Step 3: Now we must add the 2 to both sides because we have to do the inverse operation in this problem so once we've done this it should end up looking like this after the 3rd step 12x = 2 because the 2 was a negative.

Step 4: the final step we must divide since an anytime we have a number next to a variable it means multiply but since were using order of operations we have to do the opposite/inverse operation in this problem and we would divide 12 by 2 and get our final answer as x = -6 because the 12 would cancel itself out leaving us with 2 divided by 12 which is 0.16 or -6 depending on if you want it simplified or not the simplified answer would be 0.16 and the non simplified version would be -6
4 0
3 years ago
Read 2 more answers
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