Help I am not that good with math so if anyone can help that would be great. Thank you

A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.53, 0.40

SpyIntel [72]

The mean of the probability distribution is given by the expected value given by

$E(x)=\sum xp(x) \\ \\ =0(0.53)+1(0.40)+2(0.05)+3(0.02) \\ \\ =0.40+0.10+0.06=0.56$

The variance of the probability distribution is given by

$Var(x)=(x-\bar{x})^2p(x) \\ \\ =(0-0.56)^2(0.53)+(1-0.56)^2(0.40)+(2-0.56)^2(0.05)\\+(3-0.56)^2(0.02) \\ \\ =(-0.56)^2(0.53)+0.44^2(0.40)+1.44^2(0.05)+2.44^2(0.02) \\ \\ =0.3136(0.53)+0.1936(0.40)+2.0736(0.05)+5.9536(0.02) \\ \\ =0.166208+0.07744+0.10368+0.119072=0.4664$

The standard deviation is given by

$\sigma(x)=\sqrt{Var(x)} \\ \\ =\sqrt{0.4664}=0.683$

5 0

3 years ago

What are 3 consecutive integers whose product is -120

iren2701 [21]

Consecutive integers are 1 apart
x,x+1,x+2
(x)(x+1)(x+2)=-120
x^3+3x^2+3x=-120
add 120 to both sides
x^3+3x^2+3x+120=0
factor
(x+6)(x^2-3x+20)=0
set each to zero

x+6=0
x=-6

x^2-3x+20=0
will yeild non-real result, discard
x=-6
x+1=-5
x+2=-4
the numbers are -4,-5,-6

use trial and error and logic
factor 120
120=2*2*2*3*5
how can we rearange these numbers in (x)(y)(z) format such that they multiply to 120?
obviously, the 5 has to stay since 2*5=10 which is out of range
so 2*2*2*3 has to arrange to get 3,4 or 4, 6 or 6,7
obviously, 7 cannot happen since it is prime
3 and 4 results in in 12, but 2*2*2*3=24
therfor answer is 4 and 6
they are all negative since negaive cancel except 1

the numbers are -4,-5,-6

5 0

3 years ago

The diameters of F and G are 5 and 6 units, respectively. Find each measure.

harkovskaia [24]

Answer:

Part 8) B.F=0.5 units

Part 9) A.B=2 units

Step-by-step explanation:

we have

The diameter of circle F is 5 units

so

The radius of circle F is r.f=5/2=2.5 units

The diameter of circle G is 6 units

so

The radius of circle G is r.g=6/2=3 units

Part 8) Find B.F

we know that

B.F=G.B-F.G

we have

G.B=rg=3 units

FG=rf=2.5 units

substitute the values

B.F=3-2.5=0.5 units

Part 9) Find A.B

we know that

A.B=A.F-B.F

we have

A.F=r.f=2.5 units

B.F=0.5 units

substitute the values

A.B=2.5-0.5=2 units

7 0

3 years ago

Hungary's ratio of female to male athletes is 5:9. If Hungary brought 25 female athletes, how many

gulaghasi [49]

Answer:

Let the number of females and males be 5x and 9x respectively.

Given - number of females = 25

Therefore ,

$5x = 25 \\ x = \cancel \frac{25}{5} = 5$

Then ,

$number \: of \: males = 9x \\ = > 9(5) \\ = > 45$

hope helpful~

7 0

2 years ago

Solve the system of equations by graphing.

maria [59]

Answer:

Step-by-step explanation:

First, find the value for x on the x-axis. ...

Next, find the y-value - in this case, y=1100, so find 1100 on the y-axis. ...

Your point should be plotted at the intersection of x=0 and y=1100. ...

Finally, plot the point on your graph at the appropriate spot

More Steps

Step 1: Identify the variables. ...

Step 2: Determine the variable range. ...

Step 3: Determine the scale of the graph. ...

Step 4: Number and label each axis and title the graph.

Step 5: Determine the data points and plot on the graph. ...

Step 6: Draw the graph.

Final

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Have a good day :) Hope this helped!

6 0

2 years ago