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4 years ago

Show that 0.235555......can be expressed in the form

Mathematics

1 answer:

juin [17]4 years ago

7 0

Answer and Step-by-step explanation:

Suppose x = 0.2355555... .

Multiply x by 100 and 1000:

100x = 23.5555....

1000x = 235.5555....

Let's subtract the first equation from the second:

1000x - 100x = 235.5555.... - 23.555.....

Because the decimal part for each goes on forever, we can simply cancel them out in our subtraction statement:

900x = 235 - 23 = 212

Divide both sides by 900:

x = 212/900 = 53/225

Thus, since x = 0.235555..., we know that:

0.23555.... = 53/225

Since p = 53 and q = 225 are integers, we have proven that this repeating decimal can be written as a fraction.

~ an aesthetics lover

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Step-by-step explanation:

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x=65

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frosja888 [35]

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3 years ago

-8x2(x+8)=8(2+6) how do i solve this and 4n+3/2=2n-5/1?

Marat540 [252]

1) $-8x^2\left(x+8\right)=8\left(2+6\right)$

$-8x^3-64x^2=64$

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3 years ago

Researchers conducted an experiment to test the effects of alcohol. Errors were recorded in a test of visual and motor skills fo

Jobisdone [24]

Answer:

H0: σ1=σ2

Ha : σ1 >σ2

B. Upper H 0H0:

sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22

Upper H 1H1:

sigma Subscript 1 Superscript 2σ21greater than>sigma Subscript 2 Superscript 2σ22

Step-by-step explanation:

The claim is that the treatment group has errors that vary significantly more than the errors of the placebo group.

The claim is the alternative hypothesis and the opposite of claim is the null hypothesis.

Vary significantly means that it is greater than so we choose the alternate hypothesis of greater than and the null hypothesis will be equal to errors of the placebo group.

So the correct choice is B.

B. Upper H 0H0:

sigma Subscript 1 Superscript 2σ21equals=sigma Subscript 2 Superscript 2σ22

Upper H 1H1:

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Choice A,C and D all are incorrect.

This can be written as

H0: σ1=σ2

Ha : σ1 >σ2

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