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swat32
3 years ago
9

(4x + 5)

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0

Answer:

<A = 133degrees

Step-by-step explanation:

Find the diagram attached

Using the theorem that "the sum of opposite angle of a cyclic quadilateral is 180 degrees, hence;

m<A + m<C = 180

4x+5 + x + 15 = 180

4x+x+5+15 = 180

5x+20 = 180

5x = 180 - 20

5x = 160

x = 160/5

x = 32degrees

Get the measure of angle A

<A = 4x+5

<A  = 4(32)+5

<A = 128+5

<A = 133degrees

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Komok [63]

Answer:

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Step-by-step explanation:

Let the random variable <em>X</em> be defined as the height of chimneys in factories.

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The standard deviation of heights is, <em>σ</em> = 12 meters.

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According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

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*Use a <em>z</em>-table fr the probability.

Thus, the probability hat the sample mean height for the 40 chimneys is greater than 102 meters is 0.1469.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

The complete question is

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