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2 years ago

2.

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

4 0

Step-by-step explanation:

Consider the provided information.

A convex polygon is a polygon with all its interior angles less than 180°.

Regular polygon is a polygon in which all angles are equal and all sides are the same length.

An irregular polygon does not have congruent sides and interior angles.

From the above definitions we can identify the similarities and differences between the interior and exterior angles of both polygons.

Difference:

The interior angles of regular polygon are equal.

Since, the interior angles of a regular polygon are equal, the exterior angles must also be equal to one another.

The interior angle of irregular polygons are not equal, however, each exterior angle may have a different measurement as well.

Similarity:

The sum of interior angles for both polygon are equal. Also the sum of exterior angles for both polygon are equal.

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The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a popula

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Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 30\ seconds$

The standard deviation is $\sigma = 3 \ seconds$

The sample size is n = 9

The null hypothesis is $H_o: \mu = 30$

The alternative hypothesis is $H_a : \mu \ne 30$

The level of significance is $\alpha = 0.01$

The sample mean is $\= x = 31.2$

Generally the test statistics is mathematically represented as

$z = \frac{ \= x - \mu }{ \frac{\sigma}{\sqrt{n} } }$

=> $z = \frac{ 31.2 - 30}{ \frac{3}{\sqrt{9} } }$

=> $z = 1.2$

From the z table the area under the normal curve to the right corresponding to 1.2 is

$P(Z > 1.2) = 0.11507$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 1.2)$

=> $p-value = 2 *0.11507$

=> $p-value = 0.230$

From the value obtained w can see that

$p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is there is not enough evidence to support the claim

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3 years ago

How can i rewrite that with exponents instead of repeated multiplication

Montano1993 [528]

Answer:

10^12

Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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3 years ago

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