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HACTEHA [7]
3 years ago
13

A soccer team’s performance in a game depends on its performance in the last two games. If the team has lost both its previous g

ames, it has 80% of losing this game. If it has won one of its two games and lost the other one, it has a 50% chance of winning this game. If it has won the last two games, then it is on a roll and it has a 90% chance of winning this game. Your job is to find out the probability of the soccer team winning its next game. You missed the last two games, so you do not know their outcome and hence you assume all outcomes are equally likely.
Mathematics
1 answer:
Alenkasestr [34]3 years ago
7 0

The probability of the team winning its next game is 0.733

Since we are assuming that each the three outcomes are equally likely, hence outcome will have a probability of 1/3

Let:

Win = W ; Lose = L

Probability of winning next game :

If LL = 90%

If LW = 50%

If WW = 90%

Therefore,

The probability of the winning its next game :

[P(wining next game) × P(LL) + P(wining next game) × P(LW) + P(winning next game) × P(WW)]

[(0.8 × 1/3) + (0.5 × 1/3) + (0.9 × 1/3)] = 0.7333

Hence, the probability of the team winning it's next game is 0.733.

Learn more : brainly.com/question/18153040

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Passes through (3,-6) and (-1,2) slope intercept form?
IRISSAK [1]

Answer:

2/1

Step-by-step explanation:

8/4 which is also 2/1

7 0
3 years ago
You have $60 and your sister has 120 you are saving $14 per week and your sister is saving $10 per week how long will it be befo
hodyreva [135]

Answer:

15 weeks and you both will have $270

Explanation:

60+14x=120+10x

4x=60

x=15 weeks

amount= 60+14*15= $270

5 0
2 years ago
Mr. O'Connor had $90 to spend at a football game. He spent 31/45 on his ticket. Then, he spent 3/7 of his remaining money at the
Kobotan [32]

He has $90 in total to spend

He spent (31/45) of this money on ticket

so money spent on ticket =(31/45) *90 =2790/45 =62

Now money left with him is 90-62 =28 $

Now it says that he spent (3/7) of this remaining money at concession stand

so money spent on concession stand =(3/7)*28 =84/7 =12

Now money left with him = 28-12 =16

So money left with him is $16 but hat costs for $18

So Mr. O'Connor didnt have enough moeny to buy the hat

4 0
3 years ago
3d - 4, where d = 5 .
Crank
The correct answer would be-11
8 0
2 years ago
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A company is constructing an​ open-top, square-based, rectangular metal tank that will have a volume of 49 cubic feet. What dime
yawa3891 [41]

Answer:

b = 4.6 ft

h = 2.3 ft

Step-by-step explanation:

The volume of the tank is given by:

b^2*h=49

Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.

The surface area can be written as:

A=b^2+4bh\\A=b^2+4b*({\frac{49}{b^2}})\\A=b^2+\frac{196}{b}

The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:

\frac{dA}{db} =0=2b-\frac{196}{b^2}\\2b^3=196\\b=4.61\ ft

The value of h is then:

h=\frac{49}{4.61^2}\\h=2.31\ ft

Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.

7 0
3 years ago
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