In a particular town, 20% of the homes have monitored security systems. If an alarm is triggered, the security system company will contact the local police to alert them of the alarm. Of all the alarm calls that the local police receive, they only have the manpower to answer 30% of the calls. Suppose we randomly sample one home that was broken into over the last month from this town. What is the probability that this home has a monitored security system and that the police answered the alarm call?

Answers

Answer 1

Answer:

The probability to have both = 0.06

Step-by-step explanation:

Given:

Security system home = 20% = 0.2

Manpower for security calls = 30% = 0.3

Find:

The probability to have both

Computation:

The probability to have both = P(Security system home) × P(Manpower for security calls)

The probability to have both = (0.2)(0.3)

The probability to have both = 0.06


Related Questions

Use the digits 1-5 to make the smallest whole number possible. Write your answer in standard, expanded, and word form.​

Answers

Answer:

1 in standard form, 1 in expanded form, and one in word form.

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest! Thank you! ;)

y/-5=1/10
Enter your answer as a reduced fraction.

Answers

Answer:

1/2

Step-by-step explanation:

y/-5=1/10

multiply -5 on both sides

y/-5 x -5 - cancels

1/10 x -5/1

1/10 x -50/10 = 5/10 = 1/2

so then its y=1/2

Help me please I do not understand this question

Answers

Answer:

<KNM = 131

Step-by-step explanation:

<KNM + <MNJ= 180 so,

8x - 5 + 4x - 19 = 180-----> collect like terms----> 12x - 24 =180-----> add 24 on each side----> cancels out on the left-----> 12x = 204-----> divide by 12 on each side-----> x = 17------> plug in-----> < KNM = 8(17)-5 ---> <KNM = 131

Did this help?!?!?

50+30 x12 20 POINTS GUYS YESSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

960

Step-by-step explanation:

50+30= 80

80x12=960

Answer:960

Step-by-step explanation:

50+30 = 80

80x12=960

Translate this please

Answers

Answer:

x < 6

Step-by-step explanation:

x can be 6 but no higher

hope this helps

Write the definition as a biconditional statement: Two angles are vertical angles when their sides form two pairs of opposite rays. ​

Answers

Answer:

Two angles are said to be vertical angles if and only if their sides form two pairs of opposite rays.

Step-by-step explanation:

A biconditional statement is one that must fulfill the two conditions of the statement for it to be true. The two required conditions in the statement are always connected by if and only if.

The required statement is: Two angles are said to be vertical angles if and only if their sides form two pairs of opposite rays

Vertical angles are equal and opposite. Therefore for the biconditional statement to be true, the angles should be vertical and their sides must form two pairs of opposite rays.

2. When people decide what makes a fair trade, like exchanging 2 chickens for 2 sheep, they are
(1 point)
Onegotiating
O exporting
O importing
O rating

Answers

Answer:

negotiating

Step-by-step explanation:

negotiating

Answer:

B. negotiating

Step-by-step explanation:

13. Which is the range of the relation
below?
х
0 2 468
Ly-2 -1012
A 0, 2, 4, 6,8
B-2, -1,0, 1, 2
C-2, -1,0, 1, 2, 4, 6,8
D 0,2

Answers

The range is all y-values.

In the relation, all the y-values are in the

second row.

-2, -1, 0, 1, 2

Therefore, the answer is B.

Best of Luck!

There were 40 students who auditioned for the school play, 3/4 of them were called back for a second audition. How many students were called back for another audition?

Answers

Answer:

30 students

Step-by-step explanation:

Number of students called back for second audition

[tex] = \frac{3}{4} \times 40 \\ \\ = 3 \times 10 \\ = 30[/tex]

Answer:

30 students were called back for audition

Step-by-step explanation:

every 1/4=10 student so 3/4 will be 30 students altogether

Hi okay no question hello

Answers

hey how are you doing

Answer:

Hello

Step-by-step explanation:

yUh GeT iNtO iT

In a triangle, the sum of the measures of the first two angles is 12 less than the measure of the third angle. In addition, the measure of the first angle is twice as big as the measure of the second angle. Create and solve a system of linear equations to represent this situation. Then select the true statement.

А. The solution to this system is nonviable because it results in a negative angle measure.
B. The solution to this system is nonviable because it results in too large of an angle measure.
C. The solution to this system is viable.
D. The solution to this system is nonviable because it results in fractical values for the angle measures.

Answers

the sum of the internal angles of a triangle are equal to 180 degrees.

once i remembered that the problem became a lot easier.

let a, b, and c be the angles of the triangle.

-----

let a = 2*b

-----

let c = a+b-12

-----

the above two statements are given.

since the sum of the internal angles of a triangle are equal to 180, then we have a third equation to work with which is

-----

a + b + c = 180

-----

we now have 3 equations for 3 unknowns and we should be able to solve for each of the unknowns.

-----

it looks like the easiest thing is to solve for b. once we find b, the rest should fall into place very nicely.

-----

since a = 2*b, we can substitute 2*b for a in the equation a + b + c = 180.

that equation then becomes 2*b + b + c = 180 which becomes 3*b + c = 180.

looking at the equation c = a + b - 12, we solve for b as follows:

since we know that a = 2 * b, we can substitute 2*b for a and the equation becomes c = 2*b + b - 12 which becomes c = 3*b - 12.

-----

the equation we are working with is 3*b + c = 180 which originally started as a + b + c = 180.

we can substitute 3*b - 12 for c and the equation becomes

3*b + 3*b - 12 = 180 which becomes 6*b = 192 after adding 12 to both sides and combining like terms.

dividing both sides of the equation by 6 and we get b = 32 degrees.

-----

we have b = 32 degrees.

we have a = 2 * b so a = 64 degrees.

we have c = a + b - 12 which becomes c = 32 + 64 - 12 which becomes c = 96 - 12 which becomes c = 84 degrees.

-----

substituting in the equation a + b + c = 180, we get 32 + 64 + 84 = 180 which becomes 96 + 84 = 180 which becomes 180 = 180.

-----

answer is:

a

A company’s sales increased 17% this year, to $8267. What were their sales last year?

Answers

Answer:

eekk im not shure sorry but it might be 8156 i no no

Step-by-step explanation:


Solve for y.
-16y - 7y + -5 = 18
Y =

Answers

Answer: y = - 1

Step-by-step explanation:

Combine the like terms. -23y - 5 = 18Add 5 on both sides. -23y = 23Divide -23 on both sides. y = - 1

Answer:

y = -1

Step-by-step explanation:

-16y - 7y + -5 = 18

~combine like terms

-23y + (-5) = 18

~add 5 to both sides to get -23y by itself

-23y = 23

~divide by 23 on both sides to get just y by itself

-1 = y

Hope this helps!!

Please mark as brainliest, i need it to get to next lvl <3

What is the number of solutions in this system?
one solution
no solution
infinitely many solutions
First answer is Brainlyist

Answers

I could answer but u have no picture of the question

Brainliest ?

You take your car to an auto repair shop. The charge for repairs is $48 per hour plus the cost of parts. If
the car needs new parts that cost $256 and the final bill was $616, then how long did it take to repair the
car?

Answers

It took 7.5 hours to repair the car.
Steps: You subtract 256 from 616: 616 - 256 = 360. Then, you divide 48 from 360 and get 7.5. Hope this helps.

Answer:

7.5 Hours

Step-by-step explanation:

48x + 256 = 616

      - 256 = -256

-----------------------------------

48x =  360 divide both side by 48

-----     -------

48        48

x = 7.5

Help!! Need Some Homework Help ASAP!

Answers

Answer:

175°

Step-by-step explanation:

Since, [tex] \overrightarrow{BD} [/tex] is in the interior of [tex] \angle ABC[/tex]

[tex] \therefore m\angle ABC = m\angle ABD + m\angle CBD\\

\therefore (14x + 21)\degree = (2x + 3)\degree + 150\degree \\

\therefore (14x + 21)\degree = (2x + 153)\degree\\

\therefore 14x + 21 = 2x + 153\\

\therefore 14x - 2x = 153 - 21\\

\therefore 12x = 132\\

\therefore x = \frac{132}{12}\\

\therefore x = 11\\\\

m\angle ABC = (14x + 21)\degree\\

m\angle ABC = (14\times 11+ 21)\degree\\

m\angle ABC = (154+ 21)\degree\\

\huge\red {\boxed {m\angle ABC = 175\degree}} \\[/tex]

Chapter
1
Review & Refresh
Simplify the expression.

1. 18x - 6x + 2x

2. 4b – 7 – 15b + 3

3. 15(6-g)

4. –24 + 2(y – 9)

Please help me with these 4 problems!!:))

Answers

Answers:

1) 18x - 6x + 2x = 14x

Combine like terms by subtracting 6 from 18 and adding 2

2) 4b - 7 - 15b + 3 = - 11b - 4

Combine like terms add 4b and - 15b ; add -7 and 3

3) 15(6-g) = 90 - 15g

Distribute the 15 to both terms

4) -24 + 2(y - 9) = 2y - 42

Distribute the 2 to (y-9) and combine like terms

   

Can somebody explain to me how to solve this problem? I'm confused

Answers

Step-by-step explanation:

g(x) = f(2x), so g(x) is f(x) compressed by a factor of 2.

So if the domain of f(x) is [1, 5], then the domain of g(x) is [1/2, 5/2].

Rewrite the following improper fraction as a decimal 15/2

Answers

Answer:

7.5

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

all you need to do is divide 15 by 2


which is the right one????

Answers

B) 13

Step-by-step explanation:

Set up the question by doing 2x + 10 + 4x + 1 = 29 since both of these sections equal KN or 29. Simplify it to 6x + 11 = 29. Subtract 11 from both sides so 6x = 18. Divided both sides by 6 so x =3. CN’s equation is 4x + 1. Plug 3 in for x to be 4(3) + 1 which is 13. Hope this helped!

Answer:

13

Step-by-step explanation:

If 29 is KN, that would mean that both expressions, since they make up KN, add up to 29.

So, you end up combining like terms and getting this:

6x+11=29

Subtract 11 from both sides

6x=18

Divide both sides by 6

x=3

and now to find out CN, simply plug 3 in for x:

4(3)+1

12+1

CN=13

Use sigma notation to represent the following series for 8 terms.

Answers

Answer: D

Step-by-step explanation:

because its right

Wish I could help but doing it for points

20. Two employees of a company have to file expense reports for their travel. The first had taken 7 trips with a mean trip cost of $750. The second took a total of 5 trips with a mean cost of $1200. The accounting department wants to determine the mean cost of all the trips that these two employees took. What is the mean cost of all 12 trips? Proposed Solution: Since we have two costs (one for each employee) we can find the mean cost of both employees by the following computation: (750 + 1200) / 2 = 975 What was done wrong in the proposed solution?

Answers

Since there are 7 trips with a mean cost 750 and 5 trips with mean cost 1200, the calculation should be [tex](7\times 750+5\times 1200) \div 12[/tex]

The calculation is as follows:

We know that

Mean cost =  Total cost ÷  total number of trips

Here, Total number of trips(observation ) =  7+5 = 12

Total cost = total cost of two employees

total cost of first employee = [tex]7\times 750[/tex]

And, total cost of second employee = [tex]5\times 1200[/tex]

So,

Mean cost of 12 trips = [tex](7\times 750+5\times 1200) \div 12[/tex] = 937.50

Learn more: https://brainly.com/question/6269728?referrer=searchResults

The perimeter of the figure is 18x +2. One side is 3x − 3. Find the length of the indicated side.

Answers

Answer:

Step-by-step explanation:

3000000000

When your high school math teacher says “math” what’s first reaction ?

Answers

I actually like math so I have no problem with it
cry omg i’m so bad at it

A salt mixture has 8 parts water and 2 parts salt. Suppose one part of each is added. What is the new ratio of salt to water?
2 to 9
3 to 8
3 to 9
9 to 3

Answers

Answer:

c.  3 to 9

Step-by-step explanation:

It was right on edg 2020

K Co. is a publicly listed company involved in the production of highly technical and sophisticated electronic components for complex machinery. It has a number of diverse and popular products, an active research and development department, significant cash reserves and a highly talented management who are very good in getting products to market quickly. A new industry that K Co. is looking to venture into is biotechnology, which has been expanding rapidly and there are strong indications that this recent growth is set to continue. However, K Co. has limited experience in this industry. Therefore, it believes that the best and quickest way to expand would be through acquiring a company already operating in this industry sector. Discussions taken place about the possibility of acquiring Tee Co. being acquired by K Co. Price of Tee company in stock market during last one year are as follows.

Answers

This question is incomplete, the complete question is;

K Co. is a publicly listed company involved in the production of highly technical and sophisticated electronic components for complex machinery. It has a number of diverse and popular products, an active research and development department, significant cash reserves and a highly talented management who are very good in getting products to market quickly.

A new industry that K Co. is looking to venture into is biotechnology, which has been expanding rapidly and there are strong indications that this recent growth is set to continue. However, K Co. has limited experience in this industry. Therefore, it believes that the best and quickest way to expand would be through acquiring a company already operating in this industry sector.

Discussions taken place about the possibility of acquiring Tee Co. being acquired by K Co. Price of Tee company in stock market during last one year are as follows.

Price at the end of month

Month  Month end Price    KSE 100 INDEX

Jan          175                         32600

Feb        185                         33900

March     152                         33500

April        190                         34000

May        195                          33500

June       188                          33800

July        190                           33700

Aug        195                           33200

Sep        190                           32900

Oct         185                           33100

Nov        190                           33900

Dec        88                             34100

a) Calculate average return for both stock and market

b) Calculate Standard deviation for both

c) Calculate coefficient of variation for both

d) Calculate Beta of stock

Answer:

a) AVERAGE RETURN =  -3.69%,  0.42%

b) STANDARD DEVIATION = 19.38%, 1.74%

c) COEFF OF VARIATION = -5.2562, 4.1035

d) BETA  = 1.89

Step-by-step explanation:

Month     Month-end-Price     RETURN     KSE-100-INDEX     RETURN  

Jan          175                                                  32600    

Feb          185                            5.71%            33900                 3.99%  

March      152                           -17.84%         33500              -1.18%  

April         190                            25.00%        34000                  1.49%  

May          195                            2.63%           33500                 -1.47%  

June         188                            -3.59%          33800                 0.90%  

July           190                            1.06%           33700                 -0.30%  

Aug           195                            2.63%           33200                 -1.48%  

Sep            190                           -2.56%          32900                -0.90%  

Oct             185                           -2.63%          33100                   0.61%  

Nov            190                            2.70%           33900                 2.42%  

Dec            88                             -53.68%         34100                0.59%  

AVERAGE   -3.69%                                             0.42%                         =MEAN

RETURN

STANDARD 19.38%                                              1.74%         =STDDEV

DEVIATION

COEFF OF   -5.2562                                            4.1035                =STD/MEAN

VARIATION                                                                                            

VARIANCE      3.76%                                               0.03%                         =VAR

COVARIANCE    0.000569039                                                            =COVAR

BETA                    1.89                          =COVAR / VARIANCE (KSE 100 INDEX)

Find the remaining side of a 45° – 45° – 90° triangle if the shorter sides are 2/3 each .

Answers

Answer:

The length of the longer side is 2√2/3

Step-by-step explanation:

A 45-45-90 triangle is a right-angled triangle.

In fact, since it has two angles equal, it is a right angled isosceles triangle. What we are saying is that two of its sides are equal.

Hence, we have two short sides which are the opposite and the adjacent and a longer side which is the hypotenuse

Thus, to find the length of the longer side, we employ Pythagoras’ theorem and it states that the square of the hypotenuse equals the sum of the squares of the two other sides;

Mathematically, let’s call the longer side x

so x^2 = (2/3)^2 + (2/3)^2

x^2 = 4/9 + 4/9

x^2 = 8/9

x = √(8/9)

x = 2√2/3

Write the expression as a square of a monomial. 4/9b^6

Answers

Answer:

Step-by-step explanation:

It just so happens that all the numbers and variables in that expression are perfect squares. 4 has a square root of 2; 9 has a square root of 3; and b^6 has a square root of b^3. Putting that altogether into one simplified expression that we can square is:

[tex](\frac{2}{3}b^3)^2[/tex]

The expression as a square of a monomial (4/9b⁶) is  (2²/3²b³)²

What is a polynomial?

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

A monomial is a polynomial that has only one term.

Given, a monomial (4/9b⁶).

To write this monomial in terms of as a square of a monomial we'll factor out the power of 2 from each f the constants and variables contained in the monomial which is,

= (2²/3²b³)²

learn more about polynomials here :

https://brainly.com/question/20121808

#SPJ2

this is a segment addition practice. can someone please help me find the length indicated?

Answers

Answer:

3

Step-by-step explanation:

Points C, D, and E are collinear.

Segment CD = 8

Segment CE = 11

Segment DE = ?

According to the segment addition postulate:

[tex] CD + DE = CE [/tex]

[tex] 8 + DE = 11 [/tex] (substitution)

Subtract 8 from both sides

[tex] 8 + DE - 8 = 11 - 8 [/tex]

[tex] DE = 3 [/tex]

The missing lenght indicated = 3

curtis divided 27.16 by 2.8 in Got 0.97 is his answer reasonable why or why not

Answers

Given :

Curtis divided 27.16 by 2.8 and got 0.97 .

To Find :

Is his answer reasonable why or why not.

Solution :

When we divide 27.16 by 0.97 we will get 9.7.

So, Curtis did a calculation error of decimal and his answer is not acceptable.

Hence, this is the required solution.

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