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faust18 [17]
3 years ago
10

0.401 Convert the following repeating decimals to a rational number.

Mathematics
1 answer:
irinina [24]3 years ago
5 0

Answer:

401/999

Step-by-step explanation:

0.401/100

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Prove: Every point of S=(0, 1) is an interior point of S.
myrzilka [38]

Answer:

Proved

Step-by-step explanation:

To prove that every point in the open interval (0,1) is an interior point of S

This we can prove by contradiction method.

Let, if possible c be a point in the interval which is not an interior point.

Then c has a neighbourhood which contains atleast one point not in (0,1)

Let d be the point which is in neighbourhood of c but not in S(0,1)

Then the points between c and d would be either in (0,1) or not in (0,1)

If out of all points say d1,d2..... we find that dn is a point which is in (0,1) and dn+1 is not in (0,1) however large n is.

Then we find that dn is a boundary point of S

But since S is an open interval there is no boundary point hence we get a contradiction. Our assumption was wrong.

Every point of S=(0, 1) is an interior point of S.

3 0
3 years ago
The length of a garden is 25 feet.
user100 [1]

Answer:        686ft

Step-by-step explanation:    0

6 0
3 years ago
The sector of a circle with a 16-centimeter radius has a central angle measure of 45°.
Tresset [83]
A = (45/360)×16^2×pi
A = 32pi
8 0
4 years ago
The regression equation y = -0.414x + 106.55 approximates the percent of people in an audience who finish watching a documentary
Ivahew [28]

The answer is A 67%.. went over this answer in class so it is right.

5 0
4 years ago
A political polling agency predicts candidate A will win an election with 63% of the votes. Their poll has a margin of error of
scoray [572]

Answer:

56% ≤ p ≤ 70%

Step-by-step explanation:

Given the following :

Predicted % of votes to win for candidate A= 63%

Margin of Error in prediction = ±7%

Which inequality represents the predicted possible percent of votes, x, for candidate A?

Let the interval = p

Hence,

|p - prediction| = margin of error

|p - 63%| = ±7%

Hence,

Upper boundary : p = +7% + 63% = 70%

Lower boundary : p = - 7% + 63% = 56%

Hence,

Lower boundary ≤ p ≤ upper boundary

56% ≤ p ≤ 70%

5 0
4 years ago
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