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Naya [18.7K]
2 years ago
6

How you would convert the repeating, nonterminating decimal to a fraction? Explain the process as you solve the problem.

Mathematics
2 answers:
user100 [1]2 years ago
6 0

The conversion of repeating, nonterminating decimal 0.1515... into a fraction is 15/99.

<h3>What is a fraction?</h3>

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

Given the decimal,

0.1515,,,

Let's assume it is equal to x

x = 0.1515...

Multiply it by 100

100x = 15.151515..

Subtract both equations,

100x - x = 15.1515.. - 0.1515..

99x = 15

x = 15/99

Hence "The conversion of repeating, nonterminating decimal 0.1515... into a fraction is 15/99".

For more about fractions,

brainly.com/question/10354322

#SPJ2

saul85 [17]2 years ago
3 0

Answer:

15/99

Step-by-step explanation:

if N=0.1515…

so 100N=15.15…

100N-N=15

then:99N=15

so N=15/99

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What is the area of the trapezoid?
storchak [24]

Answer:

A = 70 mm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \frac{1}{2} h (b₁ + b₂)

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 10, b₁ = 10, b₂ = 4 , then

A = \frac{1}{2} × 10 × (10 + 4) = 5 × 14 = 70 mm²

7 0
3 years ago
Work out the shaded area​
Dennis_Churaev [7]

Answer:

<h2> 70 {cm}^{2}</h2>

Step-by-step explanation:

Shaded area:

Area of big rectangle - Area of small rectangle

= 10 \times 12 - (10 - 5) \times (12 - 2)

Calculate the difference

= 10  \times 12 - 5 \times 10

Calculate the product

= 120 - 50

Calculate the difference

= 70 \:  {cm}^{2}

Hope this helps...

Best regards!!

7 0
4 years ago
According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 20
Murljashka [212]

Answer:

There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1432

p = 23% = 0.23

Alpha, α = 0.05

Number of theft complaints , x = 321

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.23\\H_A: p < 0.23

This is a one-tailed test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{321}{1432} =0.2241

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.2241-0.23}{\sqrt{\frac{0.23(1-0.23)}{1432}}} = -0.5305

Now, we calculate the p-value from the table.

P-value = 0.298

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.

5 0
3 years ago
1<br> Sam can run 8 miles in 2 hours. At this rate, how far will he be in 9 hours.
krok68 [10]

Answer: I think 28 miles

Step-by-step explanation:

you add 8 miles every 2 hours until you reach 9 hours and since 9 is an old number you add 4 instead.

6 0
3 years ago
Using The diagram, name two pairs of adjacent angles and two pairs of vertical angles.​
Crank

Answer:

1. adjacent: ∠ACB and ∠BCD.

vertical: ∠ACB and ∠ECD

Step-by-step explanation:

3 0
3 years ago
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