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ELEN [110]
3 years ago
5

Luis starts to do a division problem and notices that there is a pattern in the digits to the right of the decimal point.This nu

mber is
Mathematics
1 answer:
Assoli18 [71]3 years ago
5 0

Answer: Rational

Step-by-step explanation:

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1Y, the number of accidents per year at a given intersection, is assumed to have a Poisson distribution. Over the past few years
miss Akunina [59]

Answer:

The probability that the intersection will come under the emergency program is 0.1587.

Step-by-step explanation:

Lets divide the problem in months rather than in years, because it is more suitable to divide the period to make a better approximation. If there were 36 accidents in average per year, then there should be 3 accidents per month in average. We can give for the amount of accidents each month a Possion distribution with mean 3 and variance 3.

Since we want to observe what happen in a period of one year, we will use a sample of 12 months and we will take its mean. We need, in average, more than 45/12 = 3.75 accidents per month to confirm that the intersection will come under the emergency program.

For the central Limit theorem, the sample mean will have a distribution Normal with mean 3 and variance 3/12 = 0.25; thus its standard deviation is √0.25 = 1/2.

Lets call the sample mean distribution X. We can standarize X obtaining a standard Normal random variable W with distribution N(0,1).

W = \frac{X-\mu}{\sigma} = \frac{X-3}{1/2} = 2x-6

The values of \phi , the cummulative distribution function of W, can be found in the attached file. We are now ready to compute the probability of X being greater than 3.75, or equivalently, the probability than in a given year the amount of accidents is greater than 45, leading the intersection into an emergency program

P(X > 3.75) = P(2X-6 > 2*3.75-6) = P(W > 1) = 1-\phi(1) = 1-0.8413 \\= 0.1587

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7 0
3 years ago
What is the slope of the line through (-9, 6) and (-3, 9)?<br> Choose 1 answer:
trasher [3.6K]

Given: Points (-9, 6) and (-3, 9)

Find:  The slope of the line that goes through those two points

Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula.  This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

<u>Plug in the values</u>

  • m = \frac{y_2 - y_1}{x_2 - x_1}
  • m = \frac{9 - 6}{-3 - (-9)}

<u>Simplify the expression</u>

  • m = \frac{3}{-3 + 9}
  • m = \frac{3}{6}
  • m = \frac{1}{2}

Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.

4 0
1 year ago
Read 2 more answers
Solve the system of linea<br> 1. y=x<br> y=2x - 11
aksik [14]

\left \{ {{y=x} \atop {y=2x-11}} \right. \\x=2x-11\\x=11\\\\y=x\\y=11\\\\\\Answer: (11;11)

P.S. Hello from Russia :^)

7 0
3 years ago
Perfect square between 1 and 9
Rasek [7]

Answer:

2

Step-by-step explanation:

4 0
3 years ago
Mathematics Transform Exponential Functions<br>Please answer
Vitek1552 [10]

Answer:

g(x) = 6 * 3^x

Step-by-step explanation:

This is the answer because the question states that the graph is vertically stretched by a factor of 6. Since the parent function of an exponential function is f(x) = a * 3^(k(x-d)) + c, we plug in 6 for a, where we get g(x) = 6 * 3^x.

6 0
3 years ago
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