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MArishka [77]
1 year ago
15

On any night, there is a 92% chance that an burglary attempt will trigger the alarm, and a 1% chance of a false alarm, namely th

at the alarm will go off when there is no burglary. The chance that a house will be burglarized on a given night is 1/1000 . What is the chance of a burglary attempt if you wake up at night to the sound of your alarm?
Mathematics
1 answer:
Semmy [17]1 year ago
3 0

Answer:

Step-by-step explanation:

Step1: P(Burglary) = .001

Step2: P(Alarm|Burglary Happens) = .92

Step3: Probability of alarm going (in total) = P(Alarm) when burglary happens + P(Alarm) when burglary does not happen.

Step4: Use Bayes theorem.

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For a quadrilateral to be a parallelogram, its opposite sides and _____ must be congruent.
Natalija [7]
<span>opposite sides and _____ </span>and angles 
8 0
1 year ago
Read 2 more answers
Doug purchased land for $8,000 in 1995. The year value of the land depreciated by 4% each year thereafter. Use an exponential fu
Marta_Voda [28]

Answer:

Option C. $6,012

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to

V=P(1-r)^{t}

where  

V is the the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal

t is Number of Time Periods  

in this problem we have  

t = 7 years

P = $8,000

r = 0.04

substitute in the formula above

V = 8,000(1-0.04)^{7} = 6,012

Hope this helps :)

4 0
2 years ago
At smith mountain lake boat rentals, it costs $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Beng
ludmilkaskok [199]

Answer:

The given equation  in slope intercept form is

226.50  = 7.5 (25) + 39  

Step-by-step explanation:

The SLOPE INTERCEPT form of a equation is y = m x + c

The per hour cost for rental of boat  =   $25 per hour

Let us assume the one time cleaning charge = $  k

The boat is booked from 11 am : 6 : 30 pm

So, the number of hours boat was used   =  7 . 5 hours

Hence, the cost for engaging boat for 7.5 hours

= 7.5 (cost per hour )  = 7.5( $25)  = $187 . 5

Total amount paid by the family = $226. 50  =  Fixed cleaning charge  +  rate for 7.5 hours

⇒The cleaning fee paid by the family =    $226. 50 - $187 . 5  = $39

According to question:

Total amount paid  =  Number of hour x (cost per hour )  + Cleaning fee

Hence, the given equation  in slope intercept form is

226.50  = 7.5 ($25) + $39

8 0
1 year ago
Adam lived a quarter of his life as a boy as fifth as a young man, a third in middle-age and 13 years in retirement. How old was
Anika [276]

ANSWER

Find out the how old was we when he died.

To proof

Let us assume that the age of the Adam be x

As given

Adam lived a quarter of his life as a boy as fifth as a young man, a third in middle-age and 13 years in retirement.

x =\frac{x}{4} +\frac{x}{5} +\frac{x}{3} + 13

L.C.M of denominator i.e ( 4,5,3) =60

than the equation becomes

60x = 15x + 12x +20x +780

60x - 47x = 780

13x = 780

x =\frac{780}{13}

x = 60 years

therefore the Adam age  when he died is 60 years.

Hence proved




5 0
2 years ago
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs th
Delvig [45]

Answer: Rectangular container is preferred to minimize the costs and  there are 142 rectangular container is needed to pack 6400 candles.

Explanation:

Since we have given that

Number of candles in a rectangular container = 45

Number of candles in a cylindrical container = 41

Cost of each rectangular container = $15

Cost of each cylinder container = $16

That means ,

In case of rectangular container,

Cost of 45 candles = $15

Cost of 1 candle is given by

\frac{15}{45}=\frac{1}{3}=\$0.33

Similarly,

In case of cylindrical container,

Cost of 41 candles = $16

Cost of 1 candle is given by

\frac{16}{41}=\$0.39

So, if the company needs to package 6,400 candles , it should use <u>rectangular containers </u>to minimize costs.

Number of candle he need to pack = 6400

Number of rectangular container for 6400 candles is given by

\frac{6400}{45}=142.2=142\ approximately.

Hence, there are 142 rectangular container is needed to pack 6400 candles.


4 0
2 years ago
Read 2 more answers
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