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sweet [91]
3 years ago
12

Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?

Mathematics
2 answers:
lord [1]3 years ago
7 0
\sqrt2a^{2} is the correct answer
Or A
Tema [17]3 years ago
5 0
The distance between any 2 points (x1,y1) and (x2,y2) is
D= \sqrt{(x2-x1)^2+(y2-y1)^2}

given
(0,a) and (a,0)
D= \sqrt{(a-0)^2+(0-a)^2}
D= \sqrt{(a)^2+(-a)^2}
D= \sqrt{a^2+a^2}
D= \sqrt{2a^2}
D= a\sqrt{2}

the disance is a√2

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The probability that the sample proportion will be less than 0.05 is 0.80511.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services.

Suppose the true proportion is 0.04 and 349 are sampled.

<u><em>Let </em></u>\hat p<u><em> = sample proportion</em></u>

The z score probability distribution for sample proportion is given by;

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where, \hat p = sample proportion

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Now, the probability that the sample proportion will be less than 0.05 is given by = P( \hat p < 0.05)

         P( \hat p < 0.05) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.05-0.04}{\sqrt{\frac{0.05(1-0.05)}{349} } } ) = P(Z < 0.86) = 0.80511

<em>The above probability is calculated by looking at the value of x = 0.86 from the z table which has an area of 0.80511.</em>

Hence, the probability that the sample proportion will be less than 0.05 is 0.80511.

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