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Delicious77 [7]
3 years ago
7

X+21=x+81 missing angle

Mathematics
2 answers:
Viktor [21]3 years ago
6 0

Answer:

X= -11

121 +81 <u>=</u><u>202</u>

<u>hope</u><u> </u><u>this</u><u> </u><u>helps</u>

dsp733 years ago
5 0

Answer:

x=-11

Step-by-step explanation:

the question is actually saying x+121+x+81=180.  Just subtract 202 from both sides (121+81), and get 2x=-22.  x=-11 degrees.

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A "planet transit" is a rare celestial event in which a planet appears to cross in front of its star as seen from Earth. The pla
nikitadnepr [17]

Answer:

There is a 55.95% probability that, in the next 3,000 stars monitored by the Kepler mission, more than 4 planet transits will be seen.

Step-by-step explanation:

Assume that the number of planet transits discovered for every 3,000 stars follows a Poisson distribution with λ=5.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\lambda is the mean in the given time interval.

For this problem, we have that \lambda = 5

What is the probability that, in the next 3,000 stars monitored by the Kepler mission, more than 4 planet transits will be seen?

That is P(X > 4). We either see 4 or less planets, or we see more than 4. The sum of the probabilities is decimal 1. So

P(X \leq 4) + P(X > 4) = 1

P(X > 4) = 1 - P(X \leq 4)

In which

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

So

P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}

P(X = 0) = \frac{e^{-5}*5^{0}}{(0)!} = 0.0067

P(X = 1) = \frac{e^{-5}*5^{1}}{(1)!} = 0.0337

P(X = 2) = \frac{e^{-5}*5^{2}}{(2)!} = 0.0842

P(X = 3) = \frac{e^{-5}*5^{3}}{(3)!} = 0.1404

P(X = 4) = \frac{e^{-5}*5^{4}}{(4)!} = 0.1755

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0067 + 0.0337 + 0.0842 + 0.1404 + 0.1755 = 0.4405

Finally

P(X > 4) = 1 - P(X \leq 4) = 1 - 0.4405 = 0.5595

There is a 55.95% probability that, in the next 3,000 stars monitored by the Kepler mission, more than 4 planet transits will be seen.

6 0
3 years ago
Sylvia read that the height of the Empire State Building is 443.2 m and wants to build a scale model of the building in her room
muminat

Answer:

Scale of 181: 1

Step-by-step explanation:

The first thing to do is to pass the feet by the meter, to work in the same units and thus create a consistent scale:

We know that one foot equals 0.3048 meters, therefore:

8 feet * 0.3048 meters / 1 foot = 2.4384 meters

So the scale would be:

443.2 / 2.4384 = 181.75

Which means that it is best to make a scale of 181: 1

Where 181 meters from the Empire State Building would equal 1 meter at home 0 181 inches would equal 1 inch at home

5 0
4 years ago
What Is The Answer To This Problem (-8) + 12 =
omeli [17]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
24 is 15% of what number? A. 1.6 B. 62.5 C. 360 D. 160
Leya [2.2K]
So, we know that 15% of something, which we will call x, is 24.

Thus, 0.15x = 24, since 0.15 = 15%

To solve this, we should divide 24 by 0.15, which comes out to be 160, or D.
6 0
3 years ago
Read 2 more answers
What is the value of f(-3)?
Effectus [21]

Answer:

3) -11

Step-by-step explanation:

f(-3)=5*(-3)+4

f(-3)=(-15)+4

f(-3)=-11

4 0
3 years ago
Read 2 more answers
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