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ioda
2 years ago
8

9 out of 10 people at a game are rooting for the home team. What is the probability that exactly 6 of 8 people sitting together

are rooting for the home team?
Mathematics
1 answer:
scZoUnD [109]2 years ago
7 0

A random supporter roots the home team with probability 0.9, and the away team with probability 0.1.

Choosing 6 out of 8 supporters who root for the home team has probability

\displaystyle\binom{8}{6}\cdot 0.9^6\cdot 0.1^2 = 28\cdot0.531441\cdot 0.01=0.14

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Game 1 gives you 200 points every time you score. Game 2 doubles your points every time you score (2, 4, 8, and so on). In which
nignag [31]
Its depends on how many times you score during the game 

in second game the number of points increases  as a geometric sequence
with common ratio 2

so for example if you score ten times in first game you get 2000 points


if you score 10 times in Game 2 you score   2 * (2^10) - 1  =  2046 points

so playing 10 or more games  is best with Game 2.  Any less plays favours gane 1.

6 0
2 years ago
In the figure at right, it is given than BDC is straight, BD = DA, and AB = AC = DC. Find the size of angle C
Ilya [14]
You need to use the angle sum of  a triangle in triangle CAD to express y in term of x
for triangla CAD , y = (180 -x) /2
180 = 3x + [ (180-x)/2]

x = 36

hope this helps
6 0
2 years ago
Read 2 more answers
The cafeteria staff made sandwiches. Each sandwich had either rye or white bread, either ham or turkey, and either cheese or no
Anit [1.1K]

Answer:

1/2 (1 half)

Step-by-step explanation:

The number of different sandwiches is calculated multiplying all of the possibilities for each material used:

rye or white bread: 2 options

ham or turkey: 2 options

cheese or no cheese: 2 options

So the number of different sandwiches that can be made is 2*2*2 = 8.

From these 8 different sandwiches, 4 have cheese and 4 have no cheese, as the staff made a equal number of each type of sandwich.

So, if from 8 different type of sandwiches, 4 have cheese, the chances of Mary getting a sandwich with cheese is 4/8 = 1/2 (1 half).

8 0
2 years ago
A yogurt shop offers 6 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single
Goryan [66]

Answer:

#3) 72; #4) 40,320; #5) 90.

Step-by-step explanation:

#3) The number of possible choices are found by multiplying the choices of flavors and the choices of toppings:

6*12=72.

#4) The ordering of 8 cards is a permutation, given by 8!=40,320.

#5) This is a permutation of 10 objects taken 2 at a time:

P(10,2) = 10!/(10-2)!=10!/8!=90.

P.S I had the same question once.

7 0
2 years ago
Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?
vitfil [10]

Hi!

We will solve this using ratios, like this:

4 1/2 = 4,5 kg of olive oil for 27 $

1 kg of olive oil for x $

_____________________________

x = (27*1)/4,5

x = 27/4,5

x = 6 $ per kilogram

Hope this helps!

8 0
2 years ago
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