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elena-14-01-66 [18.8K]
3 years ago
10

5. solve for x

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:

x = 17, MN = 11

Step-by-step explanation:

Given 2 secants from an external point to a circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.

(5)

7(7 + x) = 8(8 + 13) = 8 × 21 = 168 ( divide both sides by 7 )

7 + x = 24 ( subtract 7 from both sides )

x = 17

(6)

9(9 + 2x - 7) = 10(10 + 8)

9(2x + 2) = 10 × 18 = 180 ( divide both sides by 9 )

2x + 2 = 20 ( subtract 2 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9

Then

MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11

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Answer: the probability it will come up heads 25 or fewer times is 0.019

Step-by-step explanation:

Given that;

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σ = √(npq) = √( 50 × 0.65 × 0.35 ) = 3.3726

now, the probability that it will come up heads 25 or few times will be;

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using z-table

= 0.01923 ≈ 0.019  { 3 decimal places}

Therefore the probability it will come up heads 25 or fewer times is 0.019

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