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vaieri [72.5K]
3 years ago
9

Explain the relationship between the oort cloud and comets

Mathematics
1 answer:
Ne4ueva [31]3 years ago
8 0
The Oort cloud is a hypothesized spherical cloud of comets which may lie roughly 50,000 AU, or nearly a light-year, from the Sun, many comets are though to come from there but not all

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A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and
GalinKa [24]

Let's first denote:

F - a favorable response

F' - an unfavorable response

S - successful

We know that:

P(F) = 0.6\\\\P(F')=0.4\\\\P(F\cap S)=0.5\\\\P(F'\cap S)=0.3

So, from the conditional probability, we can calculate:

P(S|F) = \dfrac{P(S\cap F)}{P(F)} = \dfrac{0.5}{0.6}=\dfrac{5}{6}\approx\boxed{0.83}

Answer E.

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1) Given: mLHE=84°<br><br>Find: m∠EYL. <br><br>2)Given: m∠EYL=72°<br>Find: m arc EHL, m arc LVE
SCORPION-xisa [38]

Answer:

Part 1) The measure of angle EYL is 96\°

Part 2) The measure of arc EHL is 108\° and the measure of arc LVE is 252\°

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs which comprises

Part 1)

Let

x------> the measure of arc LHE

y----> the measure of arc LVE

we know that

x+y=360\°

x=84\°

Find the value of y

y=360\°-84\°=276\°

<em>Find the measure of angle EYL</em>

m

substitute the values

m

Part 2)

Let

x------> the measure of arc EHL

y----> the measure of arc LVE

we know that

x+y=360\°

x=360\°-y -----> equation A

m

m

substitute

72\°=\frac{1}{2} (y-x)

144\°=(y-x)

x=y-144\° --------> equation B

equate equation A and equation B and solve for y

360\°-y=y-144\°

2y=360\°+144\°

2y=504\°

y=252\°

Find the value of x

x=252\°-144\°=108\°

therefore

The measure of arc EHL is 108\°

The measure of arc LVE is 252\°

3 0
3 years ago
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