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Ganezh [65]
3 years ago
13

If the probability of an event happening is

Mathematics
1 answer:
labwork [276]3 years ago
4 0
If the probability of an event is P, the probability of that event NOT happening is equal to 1-P:

Example: if you roll a six-sided dye, what the probability of getting 4.

==> P(4) = 1/6 & the probability of NOT GETTING 4 is P(NOT 4) =5/6
I could have written 1- 1/6 & you'll notice that 1-1/6 =5/6

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Consider the function g(x) =-3(x-2) 2 + 3 what is the vertex
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2 years ago
In the circle below, DB = 22 cm, and m&lt;DBC = 60°. Find BC. Ignore my handwriting.​
Karo-lina-s [1.5K]

Answer:

BC=11\ cm

Step-by-step explanation:

step 1

Find the measure of the arc DC

we know that

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m\angle DBC=\frac{1}{2}[arc\ DC]

substitute the values

60\°=\frac{1}{2}[arc\ DC]

120\°=arc\ DC

arc\ DC=120\°

step 2

Find the measure of arc BC

we know that

arc\ DC+arc\ BC=180\° ----> because the diameter BD divide the circle into two equal parts

120\°+arc\ BC=180\°

arc\ BC=180\°-120\°=60\°

step 3

Find the measure of angle BDC

we know that

The inscribed angle measures half of the arc comprising

m\angle BDC=\frac{1}{2}[arc\ BC]

substitute the values

m\angle BDC=\frac{1}{2}[60\°]

m\angle BDC=30\°

therefore

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step 4

Find the measure of BC

we know that

In the right triangle DBC

sin(\angle BDC)=BC/BD

BC=(BD)sin(\angle BDC)

substitute the values

BC=(22)sin(30\°)=11\ cm

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