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faust18 [17]
3 years ago
8

Aubree took a taxi from her house to the airport. The taxi company charged a pick-up

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
6 0
The taxi ride was 21 miles

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A true-false question is to be posed to a husband and wife team. Both the husband and the wife will give the correct answer with
marysya [2.9K]

Answer:

Choose either strategy both are equally successful

Step-by-step explanation:

Given:-

- The probability of success for both husband (H) and wife (W) are:

                              P ( W ) = 0.8 , P ( H ) = 0.8

Find:-

- Which of the following is a better strategy for the couple?

Solution:-

Strategy 1

- First note that P ( W ) & P ( H ) are independent from one another, i.e the probability of giving correct answer of husband does not influences that of wife's.

- This strategy poses an event such that either wife knows the answer and answer it correctly or the husband knows and answers in correctly.

- We will assume that probability of either the husband or wife knowing the answer is 0.5 and the two events of knowing and answering correctly are independent. So,

                           P ( Wk ) = P (Hk) = 0.5

- The event P(S1) is:

                           P(S1) = P ( Hk & H ) + P ( Wk & W )

                           P(S1) = 0.5*0.8 + 0.5*0.8

                           P(S1) = 0.8

- Hence, the probability of success for strategy 1 is = 0.8

Strategy 2

- Both agree , then the common answer is selected otherwise, one of their answers is chosen at random.

- The success of strategy 2, will occur when both agree and are correct, wife is correct and answers while husband is not or husband is correct and he answers.

- The event P(S2) is:

                   P(S2) = P ( H & W ) + P ( H / W' & Hk ) + P ( H' / W & Wk )

                   P(S2) = P ( H & W ) + P ( H / W') P ( Hk ) + P ( H' / W) P (Wk)

                   P(S2) = P ( H & W ) + P ( H / W')*0.5  + P ( H' / W)*0.5

                   P(S2) = 0.5* [ P ( H & W ) + P ( H / W') ]  + 0.5* [ P ( H' / W) + P ( H & W )]

                   P(S2) = 0.5*P(H) + 0.5*P(W)

                   P(S2) = 0.5*0.8 + 0.5*0.8

                   P(S2) = 0.8

- Hence, the probability of success for strategy 2 is = 0.8

Both strategy give us the same probability of success.

                 

                       

4 0
3 years ago
Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complet
andrew11 [14]

Cody ALONE = 8 hours 
Kaitlyn ALONE = 6 hours 
Let Joseph ALONE take j hours 
Cody ALONE in 1 HOUR = 1/8 of the work Kaitlyn ALONE in 1 hour = 1/6 of the work Joseph ALONE in 1 HOUR = 1/j of the work 
Since TOGETHER they take X hours, in 1 hour TOGETHER they complete 1 / X of the work 
1/8 + 1/6 + 1/j = 1/X 
1/j = 1/X - 1/8 - 1/6 = (24 - 3X - 4X ) /24X = (24 - 7X ) / 24X 
j = 24X / ( 24- 7X ) 
After completing the work value of X will be known , calculate j from the above formula ANSWER
5 0
3 years ago
a shop sells three kinds of boots (football,rugby and hiking) sales are usually in the ratio 6:2:3 last month 24 pairs of footba
Hitman42 [59]

Answer:

44

Step-by-step explanation:

24 divided by 6= 4

2x4=8

3x4=12

24+8+12=44

3 0
3 years ago
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What is the next sequence 1/2, 1/2, 3/8, 1/4, 5/32
NemiM [27]
1/8 is tha answer............
5 0
3 years ago
Find the length of 1 side of square if the area is 49 sq.cm<br> method needed
ladessa [460]

Answer:

It would be 7cm

Step-by-step explanation:

please find step by step explanation on the picture

7 0
2 years ago
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