What’s 4 to the power of 2 times 3

Statistics from the Riverside Police Department show that in the last 12 years there were 648 reported crimes in the city. Find

Sav [38]

Answer:

12.76% probability that there is exactly 1 reported crime on any given day.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

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

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Statistics from the Riverside Police Department show that in the last 12 years there were 648 reported crimes in the city.

Each year has 365 days. We want the mean for a day. So

$\mu = \frac{648}{12*365} = 0.1479$

Find the probability that there is exactly 1 reported crime on any given day.

This is P(X = 1).

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

$P(X = 1) = \frac{e^{-0.1479}*(0.1479)^{1}}{(1)!} = 0.1276$

12.76% probability that there is exactly 1 reported crime on any given day.

6 0

3 years ago

Question 1 (5 points): Consider the system of linear equations x1 − 4x2 − x4 = −7 x2 − 2x4 = 3 x4 + 2x5 = 3 (a) Write down the c

Alika [10]

Answer:

Step-by-step explanation:

Given is a system of equations as

$x1-4x2 - x4 = -7\\ \\x2 - 2x4 = 3 \\\\x4 + 2x5 = 3$

We have 5 variables and 3 equations

a) coefficient matrix of this system is

1 -4 0 -1 0\\

0 1 0 -2 0\\

0 0 0 1 2\\

We find that x3 has no coefficient in any of the equations so we can omit x3 and write as equations for 4 variables as

1 -4 -1 0\\

0 1 -2 0\\

0 0 1 2\\

b) Augmented matrix is

1 -4 -1 0\\ 7

0 1 -2 0\\ 3

0 0 1 2\\3

c) For row operations to ehelon form

we can do R1+4R2 = R1

We get

1 0 -9 0 \\ 19

0 1 -2 0 \\ 3

0 0 1 2 \\ 3

Now let us do R1 = R1+9R3 and R2 = R2+2R3

1 0 0 0 \\ 46

0 1 0 0 \\ 9

0 0 1 2 \\ 3

d) We find that there are infinite solutions to the system in parametric form, since x4 and x5 are linked with only one equation

e) x1 = 46, x2 = 9, x4+2x5 =3

Or x1 =46, x2 =9, x4 = 3-2x5, x5 = x5 is the parametric solution

8 0

3 years ago

2.53 × 3.1 is between

8090 [49]

7 and 8(7.843 to be exact. Which is closer to 8).

8 0

3 years ago

If y=-8 when x=-2,find x when y =32

lidiya [134]

So when y=32 it is 4x more than the original y which means they've multiplied it by four. Whatever you do to one you have to do to the other side so you multiply 2 by 4 to get 8 so x=8

6 0

3 years ago

Isaiah takes 25 hours to treat 75 lawn with an organic fertilizer at a housing complex The lawns in the complex are the same siz

sergeinik [125]

Isaiah will mow 9 lawns in 3 hours at the given rate.

Step-by-step explanation:

Given,

Lawns mowed in 25 hours = 75 lawns

We will find unit rate in terms of lawns;

75 lawns = 25 hours

1 lawn = $\frac{25}{75}=\frac{1}{3}\ hour$

9 lawns = $\frac{1}{3}*9$

9 lawns = 3 hours

Isaiah will mow 9 lawns in 3 hours at the given rate.

Keywords: unit rate, fraction

Learn more about fractions at:

#LearnwithBrainly

5 0

3 years ago