One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 % of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If the garage is robbed, what is the probability the doors ware left open

Answers

Answer 1

Answer:

If the garage is robbed, the probability the doors ware left open is 0.625.

Step-by-step explanation:

Denote the events as follows:

X = garage doors open

Y = something is stolen

The information provided is:

P (X) = 0.25

P (Y|X) = 0.05

P (Y|X') = 0.01

Compute probability that the garage is robbed as follows:

[tex]P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02[/tex]

Compute the probability the doors ware left open given that the garage is robbed as follows:

[tex]P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625[/tex]

Thus, if the garage is robbed, the probability the doors ware left open is 0.625.


Related Questions

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

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Answer:

-0.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

best estimate for 563 / 15

Answers

Answer: 37 8/15 or 37.53

Step-by-step explanation:

use math_way its amazing for math problems, if i could give a rating it would definitely get 5 stars.

its a website and a app i believe it can be used for ios and android

aka apple and everything else

btw i had to add that (_) <that in the name because it wont let me say it normally

If a scale factor of 5 is used to make a reduction, what is the base of the original triangle?
Original triangle
Height
Base
Reduced triangle
3
5
0 1
O 10
O 15
O 25

Answers

Answer:

25

Step-by-step explanation:

took test on edge

-4(3/2x - 1/2) = -15

Answers

Answer:

2.8333333333333333333

Step-by-step explanation:

I have high iq

-4(3/2x - 1/2) = -15

Distribute -4

-6x + 2 = -15

Subtract 2 from both sides

-6x = -17

Divide 6 from both sides

x = 2.83333333333333333

0.07, 0.005, 0.75
from smallest to largest

Answers

0.005,0.07,0.75 its the answer to your question

An integer is 15 more than 2 times another. If the product of the two integers is -27, then find the integers

Answers

Answer:

The required integers are x=3 and y= -9

Step-by-step explanation:

Let one the integers be x and y

An integer is 15 more than 2 times another: x=15+2y

product of the two integers is -27: x*y=27

[tex]x=15+2y ---eq(1)\\x*y=-27----eq(2)[/tex]

Solving both equations to find values of x and y

Putting value of x from equation 1 in equation 2

[tex](15+2y)*y=-27\\15y+2y^2=-27\\Rearranging:\\2y^2+15y-27=0[/tex]

This can be solved using quadratic formula:

[tex]$y=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

Putting values and finding factors

[tex]$y=\frac{-(15)\pm\sqrt{(15)^2-4(2)(-27)}}{2(2)}$\\$y=\frac{-(15)\pm\sqrt{225+216}}{4}$\\$y=\frac{-(15)\pm\sqrt{441}}{4}$\\$y=\frac{-(15)\pm21}{4}$\\$y=\frac{-(15)+21}{4} \ or \ y=\frac{-(15)-21}{4}$\\$y=\frac{6}{4} \ or \ y=\frac{-36}{4}$\\$y=\frac{3}{2} \ or \ y=-9$[/tex]

Since y is integer so, we consider only y= -9

The value of x will be:

[tex]x*y=-27\\x*(-9)=-27\\x=\frac{-27}{-9} \\x=3[/tex]

So, the value of x is x=3

The required integers are x=3 and y= -9

5z + 3n -z2 ; n = 4.5 , z = 6 PLZ answer this

Answers

Answer:

5(6)+3(4.5)- 6(2)= 31.5

Step-by-step explanation:

Answer:

hmmmmm

Step-by-step explanation:

What is one characteristic of the cosine function? It is an odd function. It has a period equal to π. Its graph is symmetric about the y-axis. Its domain is between –1 and 1 and is inclusive.

Answers

Answer:

D) its domain is between -1 and 1

Step-by-step explanation:

cos is actually an even function, and it has a period of 2π.

Sine has a graph symmetric about the y-axis, not cosine.

Answer:

C.  Its graph is symmetric about the y-axis.

Step-by-step explanation:

If you graph on desmos it shows that it is symmetric about the y-axis :)

7. Which of the following illustrates the commutative property of multiplication?
(1) 5(2x) =(5-2)x
(2) 4(2x+5) = 4 - 2x+4-5
(3) x2 +5=5+x2
(4) 2x -3x = 2-3-X-X
show work pleasee

Answers

x^2 + 5 = 5 + x^2 will give you the same answer. Also know as the commutative property. Answer is (3)

In a particular​ game, the probability of winning $95 is 1/36 and the probability of losing $7 is 35/36. What is the expected value after playing this​ game? Round to the nearest cent.

Answers

Answer:

1.53

Step-by-step explanation:

1

36

(

85

)

+

(

35

36

)

(

4

)

=

E

V

 

85

36

140

36

=

E

V

55

36

=

E

V

E

V

$

1.53

PQ is equal to RQ so b=?

Answers

Answer: 17

Step-by-step explanation:

help please ASAP!!!!!
you can zoom in to see better

Answers

Answer:

true, false, and false

Step-by-step explanation:

I WILL REWARD BRAINLIEST OKAY IM BEGGING YOU HELP ME

IN THAT PHOTO WHAT ARE THE X AND Y INTERCEPTS!?! WAIT DON'T LOOK AT THE PHOTO YET!!

PLEASE LOOK AT THIS EXAMPLE:

X intercept: ( ), ( )
Y intercept: ( ), ( )

NOW LOOK. AT THE PHOTO PLEASE!!​

Answers

Answer:

X-intercept: -10

Y-intercept: -45

(-10),(-45)

Step-by-step explanation:

Hop this helped, Have a Wonderful Day!!

Solve for a when x is 12
X=
(1 + a)
(1 – a)

Answers

Answer:

so i checked on many apps cause im kinda stupid and didnt know and they all said a=11/13 but you could wait for sum1 else to answer

Step-by-step explanation:

David has available 40 yards of fencing and wishes to enclose a rectangular area.

Answers

Answer:

5 units will be your width and 15 will be your length so it would look like side#1=5 side #2=15 side number3 is 5 and side number 4 is 15 assuming that side 1 and 3 are parallel.

Step-by-step explanation:

yes

45×(−10)×45 STEP explanation ​

Answers

Answer:

-20,250

Step-by-step explanation:

PEMDAS

Multiply left to right

45 * -10 * 45

45* -10

-450 * 45 =

-20,250

If AABC and AXYZ are similar, which must be true?

Answers

Answer:

(D).

Step-by-step explanation:

ΔABC ~ ΔXYZ

(D).  [tex]\frac{AC}{XZ}[/tex] = [tex]\frac{BA}{YX}[/tex]

How many proportional relationships are shown

Answers

Answer:

2 I think thats the answer

Step-by-step explanation:

The radius of a right circular cylinder is given by √(t+6) and its height is 1/6√t, where t is time in seconds and the dimensions are in inches. Find the rate of change of the volume with respect to time. and its height is? (in3/s)

Answers

Answer:

[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]

Step-by-step explanation:

Given that:

The radius of a right cylinder is given by √(t+6) and its height is 1/6√t;

The volume of a given circular cylinder is:

[tex]V = \pi r^2 h[/tex]

[tex]V = \pi(t+6) \bigg ( \dfrac{\sqrt{t}}{6}\bigg)[/tex]

[tex]V = \pi \bigg( \dfrac{t^{3/2}}{6}+ \sqrt{t} \bigg)[/tex]

[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 \sqrt{t}}{12}+ \dfrac{1}{2\sqrt{t}} \bigg)[/tex]

[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3t}{12 \sqrt{t}}+ \dfrac{6}{12\sqrt{t}} \bigg)[/tex]

[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 {t}+6}{12\sqrt{t}}\bigg)[/tex]

[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]

find slope please help I’ll mark brainliest

Answers

slope=0
explanation: its a straight line and therefore means no slope

Write the equation of a line perpendicular to y=-5x that passes through the point (1,1) in slope intercept form. (This question is worth 2 points. One point for the correct slope and the second point is for the correct y intercept.)

Answers

Answer:

y= 1/5x + 0.8

Step-by-step explanation:

Hope this helps

Suppose that a company has fixed costs of $23 per unit and variable costs $10 per unit when 13,500 units are produced. What are the fixed costs per unit when 10,000 units are produced?

Answers

answer

32632 answer hai bro

Question 1 (1 point)
(07.03)
How many solutions does the equation 2y+7=5y+7-3y have?
a
One
Ob
None
ос
Two
od
Infinitely many

Answers

Answer:

0 because both equations on either side will cancel out

Please help will do brainliest

Answers

Answer:

2x-7y

8x+2y

Step-by-step explanation:

Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units.​

Answers

Answer:

1.L=4;W=3;P=14

2.L=6;W=2;P=16

3.L=12;W=1;P=26

Step-by-step explanation:

because i know

Why is it important for mathematicians to graph functions? Select all that apply.
A. For them to determine if a function can be inverted.
B. For them to visualize the function.
C. For them to extrapolate beyond the known data.
D. For them to determine if the function can be graphed.
E. For them to determine characteristics of the function.

Answers

Answer:

e

Step-by-step explanation:

s

Ella swims four times a week at her clubs pool. She swims the same number of labs on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 labs each week. How many laughs does she swim on Monday?

Answers

52 laps is the correct answer. Explaining. Don’t have to I just took the test and got a 100

A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample mean?

Answers

Answer:

[tex]S.E = 2[/tex]

Step-by-step explanation:

Given

[tex]Mean = 40[/tex]

[tex]s^2 = 64[/tex] ----- variance

[tex]n = 16[/tex] ------------ sample

Required

Determine the S.E

The estimated standard error (S.E) for the sample mean is calculated using the following formula:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

Where

[tex]SD = Standard\ Deviation[/tex]

[tex]SD = \sqrt {s^2}[/tex]

[tex]SD = \sqrt {64}[/tex]

[tex]SD = 8[/tex]

So:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

[tex]S.E = \frac{8}{\sqrt{16}}[/tex]

[tex]S.E = \frac{8}{4}[/tex]

[tex]S.E = 2[/tex]

Hence: the estimated standard error for the sample mean is 2

what is equivalent to x+x ?
a)xx
b)2x
c)x^2
d)2^x

Answers

I’m pretty sure the answer is 2x

Answer:

b

Step-by-step explanation:

I think it is B because x+x is two x's so it would be 2x. I hope this helped have a good day

Convert 1AA from hexadecimal to decimal.

Answers

1AA = 426

What an odd class...

Answer:

426 in decimal.

Step-by-step explanation:

Step 1) Count the digits in 1AA, which in this case is 3 digits, and convert each digit to Hex.

Step 2) Starting from the last number in Step 1, multiply the first number with 1, the second number with 16, and the third number with 256.

Step 3) Add up all the numbers you got in Step 2 to get the answer.

Following the instructions above, your math should look like this:

10 x 1 = 10

10 x 16 = 160

1 x 256 = 256

10 + 160 + 256 = 426

Thus, we got the following answer:

1AA = 426

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