Alice has 36 possibilities of choosing ,Bob 126 and Kevin 84.
Alice, Bob and Kevin
7 different Flavors:
Chocolate
Vanillla
mint chip
strawberry
cookie dough
banana
caramel
The order of the 9 scoops does not matter.
_ _ _ _
a) How many ways can she choose her 9 scoops so she gets at least 1 scoop of each flavor?
Since there are 7 flavors, and she wants at least one of each then we have:
Alice has 36 possibilites of choosing
b) Bob
Since Bob can't eat too much he can't do no more than 4
Bob has 126 possibilities of making his choice.
c) Kevin
3 scoups of banana or 3 scoups of strawberries.
Considering He wants 9 scoups.
Kevin has 84 possibilities for banana or strawberries
Angles I'm a triangle always add up to 180 degrees.
So 120+35=155
180-155=25
The missing angle is 25 degrees
We will calculate it like this, We will make a right angle triangle by adding one new point called O for example, and O is located right under the point C, and on the right side of point D, so the coordinated for this point are O (8, -2). From there, length CD is calculated using the Pythagorean theorem, because we know that the CO = 4 and DO = 4, so:
CD^2 = CO^2 + DO^2
CD^2 = 4^2 + 4^2
DC^2 = 16 + 16
DC^2 = 32
DC = square root of 32 = square root of 16 * square root of 2
DC = 4 * square root of 2
The correct answer is B. 4*square root of 2.
Answer:
9.5
Step-by-step explanation:
There is no changeover in the first throw. The probability of each changeover is 1/2 and it doesnt depend on the other changeovers. The only thing that modifies each experiment is the result of the previous flip, but regardless of weather it was tails or heads, the probability will always be 1/2.
Since the coin is flipped 20 times and the first time there is no changeover, there are a total of 19 experiments. All of them independent and with probability 1/2. Therefore, the total amount of changeovers for 20 flips is a random variable with distribution Binomial B(19,0.5), the expected value of a Binomial B(n,p) is n*p. In this case, the expected value of changeovers for n=20 is 19*0.5 = 9.5.
Answer:
number of trousers=14
numbers of pairs of stockings=71
Step-by-step explanation:
Pairs of stockings: x
T shirt: y
Trouseres: z
7x=3y
1z=1y+2×
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m: number of trousers
m*z=26y
m*(y+2x)=26y
m*(y+2(3y/7))=26y
m=26y/(y+2(3y/7))
m=14
You need to buy 14 trousers that represents the equivalent of 26 T-shirts.
__________________________________________
k:pairs of stockings
k*x=10y+11z
k*x=10(7x/3)+11(y+2x)
k*x=10(7x/3)+11((7x/3)+2x)
k=71
You need to buy 71 pairs of stockings with an amount equal to the price of 10 T-shirts and 11 trousers
