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3 years ago

PLEASE HELP WILL MARK AS BRAINLIEST

Mathematics

1 answer:

AveGali [126]3 years ago

5 0

Answer:

$\boxed{\bold{\huge{\boxed{Area\ of\ Trapezium = 150\ cm\²}}}}$

Step-by-step explanation:

Using Pythagorean Theorem first to find EC

$\sf CB^2 = EB^2+EC^2\\Where \ CB = 13 \ and \ EB = 5 \\13^2 = 5^2 + EC^2 \\169 - 25 = EC^2 \\EC^2 = 144\\Taking \ sqrt \ on \ both \ sides\\EC = 12 \ cm$

Given that:

AE = EC

AE = 12 cm

Now,

AB = AE + EB

AB = 12 + 5

AB = 17 cm

ABCD is a trapezoid / trapezium

So,

Area of Trapezium = $\sf \frac{AB+DC}{2} (EC)$

Where AB = 17 , DC = 8 and EC = 12

Area of Trapezium = $\sf \frac{17+8}{2} ( 12)$

Area of Trapezium = (25)(6)

Area of Trapezium = 150 cm²

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Step-by-step explanation:

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Question 15

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Answer:

The correct option is (C).

Step-by-step explanation:

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

Then, the mean of the distribution of sample means is given by,

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And the standard deviation of the distribution of sample means is given by,

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As the sample size is quite large, i.e. n = 400 > 30 the central limit theorem can be used to approximate the sampling distribution of the sample mean.

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The standard deviation of the distribution of sample mean is:

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