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Margarita [4]
3 years ago
9

Which of the following numbers doesn't belong? Why?​

Mathematics
2 answers:
algol [13]3 years ago
8 0

Answer:

36 most likely

Step-by-step explanation:

4, 8, 16, 32, 64 is a pattern. You multiply by 2 to get the next term. I would think 36 doesn't belong for this reason.

Julli [10]3 years ago
3 0
The answer is most likely going to be 36 because if you count by your 4x tables.
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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
The domain of a quadratic function is all real numbers and the range is y s 2. How many x-intercepts does the
mel-nik [20]

Answer:

There are two x-intercepts.

A quadratic function whose maximum degree two. Therefore, Total two x-intercept possible.

We are given the range of quadratic function y less than equal to 2. It means parabola is downward whose maximum value 2.

Here y is greater than 2 and parabola form downward. Here must be two x-intercept.

If a>0 then form open up parabola.

If a<0 then open down parabola.

Here open down parabola. So, we get total two x-intercept.

Please see the attachment for diagram.

5 0
3 years ago
Find area, round to nearest tenth
Gnom [1K]

Answer:

  160 in²

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . base length b, height h

Here, the triangle has a base length of 32 in, and a height of 10 in. Its area is ...

  A = 1/2(32 in)(10 in) = 160 in²

3 0
2 years ago
What's the answer to this question?
S_A_V [24]
The answer is 196 This is the answer to ur question
5 0
3 years ago
Football team had scores of 23, 15, 11, 29, and 17 in the last five games the team played. Which score is NOT a prime number?
exis [7]

Answer:

15

Step-by-step explanation:

15 is 5 * 3 so is not prime.

3 0
3 years ago
Read 2 more answers
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