Please help <br>writing in terms of i <br>

MakcuM [25]

Answer:

p = 37

Step-by-step explanation:

The most important step in beginning algebra is to get all the letters on one side and and all the numbers on the other. In This case it is only all the numbers that need to be transferred.

p - 24 + 24 = 13 + 24

p = 37

3 0

4 years ago

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

What can you do to isolate the variable on one side of the equation? ___________

suter [353]

Answer:

Subtract (remove) 2 x-tiles from both sides.

x = 5

Step-by-step explanation:

According to the rules of equality, you can add or subtract the same number(s) from both sides of the equal sign. Here, it is convenient to subtract the number of tiles that is on the side with the least number of tiles. That means we want to subtract 2 x-tiles from both sides.

The result of doing that is the answer:

x = 5

4 0

4 years ago

If f(x)=3x-1 and g(x)=2x2-3, fill in the blank f(2) _____ 9(3)?

jasenka [17]

Answer:

f(2)<u> < </u>g(3)

The correct option is;

1. <

Step-by-step explanation:

The given function parameters are;

f(x) = 3·x - 1, g(x) = 2·x² - 3

For f(x) = 3·x - 1, when x = 2, we have;

f(2) = 3·x - 1 = 3 × 2 - 1 = 5

For g(x) = 2·x² - 3, when x = 3, we have;

g(3) = 2 × 3² - 3 = 18 - 3 = 15

Therefore, we have;

f(2) = 5 < g(3) = 15

Which gives;

f(2) < g(3)

5 0

3 years ago

George and carmen went on a bicycle trip. they took a bus to their starting point, then biked the rest of the way. they traveled

Andreyy89

Ok so we know that x = y+70
So y+y+70 = 300
2y+70 = 300
2y = 230
y = 115
So we know that x = y+70
do x = 115+70
X= 185

4 0

4 years ago

Please help writing in terms of i ​

Please help writing in terms of i