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Korvikt [17]
4 years ago
9

A rectangle with (8, 4 ) , (8,6 ) , (10 , 6 ) and ( 10,4) is dilated by a scale factor of 2 . Which are the coordinates of the i

mages
Mathematics
1 answer:
padilas [110]4 years ago
8 0
Multiply each coordinate by two; which then becomes
(16,8), (16,12), (20,12), (20,8)
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Explain why P(A|D) and P(D|A) from the table below are not equal.
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Answer:

The Probability that Event A and  Event D occur is equal to the probability Event A occurs times the probability that Event D occurs, given that A has occurred.


P(A\cap D)=P(A)\cdot P(D/A)

We can find the values of P(A/D) and P(D/A) using the above form formula.

P(D/A)=\frac{P(A\cap D)}{P(A)} ;

P(A/D)=\frac{P(D\cap A)}{P(D)}

From the given table, we have the values of P(A), P(D), P(D\cap A) and P(A\cap D).

Since, Probability=\frac{The number of wanted outcomes }{the number of possible outcomes}

∴P(A)=\frac{8}{17}, P(D)=\frac{10}{17}, P(A\cap D)=\frac{2}{17} and P(D\cap A)=\frac{2}{17}

Now, putting these values in above formula we get,

P(D/A)=\frac{\frac{2}{17}} {\frac{8}{17}}

P(D/A)=\frac{2} {8}=\frac{1}{4}

P(D/A)= \frac{1}{4}.

P(A/D)=\frac{\frac{2}{17}} {\frac{10}{17}}=\frac{2}{10}

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3 years ago
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A disc has a diameter of 23 cm. The inner hole in the disc has a radius of 2 cm. Find the circumference of both the inner hole a
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Answer:

Inner hole: 13 cm; Whole disc, 72 cm

Step-by-step explanation:

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