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3 years ago

What is (⅗ +⅖ ) x (1/9)²

Mathematics

2 answers:

BARSIC [14]3 years ago

8 0

Answer:

In exact form: 1/81

Decimal form: 0.01234567...

Step-by-step explanation:

alex41 [277]3 years ago

7 0

Answer: decimal- 0.012345679 fraction- 1/81
explanation: (3/5+2/5)=1
1*(1/9)=0.1 repeating
0.1 repeating^2= 0.012345679

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2 years ago

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3 years ago

6. trapezoid ABCD shown below, AB|| DC, overline BC perp overline DC and sides have lengths as shown (aDetermine the measure of

laila [671]

Answer:

a). ∠D = 56°

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From triangle ADE,

$tanD=\frac{AE}{DE}$

$=\frac{3}{2}$

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D ≈ 56°

Therefore, measure of ∠D is 56°.

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3 years ago

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gtnhenbr [62]

Answer:

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So the answer for this case would be n=22547 rounded up to the nearest integer

Step-by-step explanation:

Let's define some notation

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=58.2$ represent the population standard deviation

n represent the sample size

$ME =1$ represent the margin of error desire

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be $\alpha=0.01$ and the critical value $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547$

So the answer for this case would be n=22547 rounded up to the nearest integer

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3 years ago