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Snowcat [4.5K]
3 years ago
7

What is 0.009 written as a percent?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
5 0
.9%. To turn a decimal into a percent, you move the decimal 2 places to the right. So .009 would be .9%
You might be interested in
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
Dierdre’s work to solve a math problem is shown below.
kramer

Step-by-step explanation:

step 1

6 0
3 years ago
Read 2 more answers
I WILL MARK YOU THE BRAINLIEST IF YOU ANSWER THIS CORRECTLY WITH WORK
saul85 [17]

Answer:

Students on Honor Roll had no advantage to get the Science class requested. It was a fair class assignment. In fact No Honor Roll students had advantage over honor Roll Students in obtaining Science Class as requested.  

Step-by-step explanation:

Here let us streamline the information we are given one by one

1.) Honor Roll

Get Requested Science Class                : 64

Did Not get  Requested Science Class : 80

Total                                                         : 144

Percentage of Honor Roll Students getting Science class as requested =

\frac{64}{144}

= 44.44%

2.) No Honor Roll

Get Requested Science Class               : 315

Did Not get Requested Science Class :  41

Total                                                         : 356

Percentage of Non Honor Roll Students getting Science class as requested = \frac{315}{356}

= 88.8%

By observing the above result , we can assume that Honor Roll students did not have any advantage over non Honor Roll students in getting Science Class as they requested.

3 0
4 years ago
4. A boat sails east for 35 miles and then turns to sail 10 miles south. What is the distance of the boat from its ending point
Elden [556K]

Answer:

36.4mi

Step-by-step explanation:

The boat sailed two legs of a right-angled triangle.

The distance from the starting point is the hypotenuse of the triangle.

d = √(35² + 10²)

  = √(1225 + 100)

  = √1325

  = 36.4 mi

5 0
3 years ago
3 ( X + 6 ) = 24 <br> What is X
neonofarm [45]
X = 2 hope this helps :D
6 0
3 years ago
Read 2 more answers
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