-5+i/2i how do I break this down?

Which statement correctly describes the relationship between △JKL and △J′K′L′?

Klio2033 [76]

Answer:

the first one

Step-by-step explanation:

because if you map them they will be congruent

8 0

3 years ago

Birds arrive at a birdfeeder according to a Poisson process at a rate of six per hour.

m_a_m_a [10]

Answer:

a) time= $10 \frac{1}{6}=\frac{10}{6}=1.67 hours$

b) $P(T\geq 0.25h)=e^{-(6)0.25}=0.22313$

c) $P(T\leq 0.0833)=1-e^{-(6)0.0833}=0.39347$

Step-by-step explanation:

Definitions and concepts

The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

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

And the parameter $\lambda$ represent the average ocurrence rate per unit of time.

The exponential distribution is useful when we want to describ the waiting time between Poisson occurrences. If we assume that the random variable T represent the waiting time btween two consecutive event, we can define the probability that 0 events occurs between the start and a time t, like this:

$P(T>t)= e^{-\lambda t}$

a. What is the expected time you would have to wait to see ten birds arrive?

The original rate for the Poisson process is given by the problem "rate of six per hour" and on this case since we want the expected waiting time for 10 birds we have this:

time= $10 \frac{1}{6}=\frac{10}{6}=1.67 hours$

b. What is the probability that the elapsed time between the second and third birds exceeds fifteen minutes?

Assuming that the time between the arrival of two birds consecutive follows th exponential distribution and we need that this time exceeds fifteen minutes. If we convert the 15 minutes to hours we have 15(1/60)=0.25 hours. And we want to find this probability:

$P(T\geq 0.25h)$

And we can use the result obtained from the definitions and we have this:

$P(T\geq 0.25h)=e^{-(6)0.25}=0.22313$

c. If you have already waited five minutes for the first bird to arrive, what is the probability that the bird will arrive within the next five minutes?

First we need to convert the 5 minutes to hours and we got 5(1/60)=0.0833h. And on this case we want a conditional probability. And for this case is good to remember the "Markovian property of the Exponential distribution", given by :

$P(T \leq a +t |T>t)=P(T\leq a)$

Since we have a waiting time for the first bird of 5 min = 0.0833h and we want that the next bird will arrive within 5 minutes=0.0833h, we can express on this way the probability of interest:

$P(T\leq 0.0833+0.0833| T>0.0833)$

$P(T\leq 0.1667| T>0.0833)$

And using the Markovian property we have this:

$P(T\leq 0.0833)=1-e^{-(6)0.0833}=0.39347$

3 0

3 years ago

Etsy is an e-commerce website focused on handmade or vintage items and supplies, as well as unique factory-manufactured items. A

inysia [295]

Answer:

Step-by-step explanation:

given that Etsy is an e-commerce website focused on handmade or vintage items and supplies, as well as unique factory-manufactured items. A shop owner on Etsy sells printed t-shirts and she wants to know what level of inventory she should maintain for the month of January. She gathers the January inventories of 8 other shop owners who sell printed t-shirts on Etsy. Their t-shirt inventories are listed below.

59 84 90 54 42 45 77 85

a) Mean = total /8 = 536/8 = 67

For median arrange in ascending order

42 45 54 59 77 84 85 90

Middle entries are 59 and 77

b) Median = average of 59 and 77 = 68

c) If highest changes to 100, data set becomes

42 45 54 59 77 84 85 100

sum increases by 10 i.e. 546

Mean = 546/8 = 68.25

Median will not change remain the same = 68

Mean increases and median stays the same

d) If Var = 369.1429

std dev = square root of variance

= 19.2131

e) Part b answer is the II quartile

f) Mean = 67 and median = 68

Mean < median

So negatively skewed shape

7 0

3 years ago

Pls help!!! if f(x) = 3x-2 and g(x) = 6-4x, fibd f(x) + g(x)

sp2606 [1]

So first off the equation we are solving is f(x) + g(x). So i want to plug in those equations first off. The new equation I get should be 3x-2 + 6 -4x. I then simplify this to -x+4 or 4-x.

6 0

2 years ago

Read 2 more answers

What is the distance between 23 and -8 on a number line?

elena55 [62]

Answer: 31

Step-by-step explanation:

To find the distance, find the difference between the number.

23 - (-8) = 31 So the distance is 31 units.

Note: To go from -8 to 23 you will have to add 31 to -8 and to go from 23 to -8 you will have to subtract 31 so the distance is 31

7 0

3 years ago

-5+i/2i how do I break this down?​

-5+i/2i how do I break this down?