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2 years ago

Is 459 divisible by 12

Mathematics

1 answer:

Sphinxa [80]2 years ago

4 0

Answer:

Step-by-step explanation:

For a number to be divisible by 12, it has to be divisible by both 3 and 4. This number is divisible by 3 as the sum of its digits is 18, and 18 is divisible by 3. However, 459 is not divisible by 4 as it is an odd number. Because of this, 459 is not divisible by 12.

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3 years ago

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Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample

Vedmedyk [2.9K]

Answer:

$P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The population proportion have the following distribution

$p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)$

And we can solve the problem using the z score on this case given by:

$z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}$

We are interested on this probability:

$P(0.26 \leq p \leq 0.43)$

And we can use the z score formula, and we got this:

$P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})$

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3 years ago

What is the length of hypothesis of 9 mi 12 mi

ohaa [14]

A*a + b*b = c*c
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2 years ago

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Brilliant_brown [7]

Answer:

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Step-by-step explanation:

slope of equation:

(y2-y1)/(x2-x1)

= (72-58)/(9-2)

= 14/7

= 2

y = 2x + b

58 = 2(2) + b

58 = 4 + b

b = 54

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3 years ago

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devlian [24]

Answer:

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Step-by-step explanation:

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