Answer:
0.1274
Step-by-step explanation:
Let X be the random variable that measures the number of children who get their own coat.
Then, the expected value of X is
E[X] = 1P(X=1) + 2P(X=2)+3P(X=3)+...+10P(X=10)
The probability that a child gets her or his coat is
P(X=1) = 1/10
To compute the probability that 2 children get their own coat, we notice that there are 10! possible permutations of coats. The two children can get their coat in only one way, the other 8 coats can be arranged in 8! different positions, so the probability that 2 children get their own coat is
P(X=2) = 8!/10! = 1/(10*9) and
2P(X=2) = 2/(10*9)
Similarly, we can see that the probability that 3 children get their own coat is
P(X=3) = 7!/10! = 1/(10*9*8) and
3P(X=3) = 3/(10*9*8*7)
and the expected value of X would be
E[X] = 1/10 + 2/(10*9) + 3/(10*9*8)+...+10/10! = 0.1274
Answer:
Step-by-step explanation:
1/4 cup of sugar = 1/2 tea spoon. (1)
Multiplying both sides by 4, we have
1/4 * 4 cup of sugar = 1/2 * 4 tea spoon. (2)
1 cup of sugar = 2 tea spoon
( Required answer)
Answer:
The answer to your question is C
Just try it out
- have a nice day, be safe & healthy -
- peace out -
Answer:
A cantaloupe costs $4
Step-by-step explanation:
Watermelons = W
Cantaloupes = C
Write given statements as equations
5W + 6C = 54
4W + 8C = 56
Simplify the second equation
4W + 8C = 56
Subtract 8C from both sides of the equation
4W = 56 - 8C
Divide both sides of the equation by 4
W = 14 - 2C
Substitute into second equation
5W + 6C = 54
5(14 - 2C) + 6C = 54
Multiply 5(14 - 2C)
70 - 10C + 6C = 54
Add -10C + 6C
70 - 4C = 54
Add 4C to both sides of the equation
70 = 54 + 4C
Subtract 54 from both sides of the equation
16 = 4C
Divide both sides of the equation by 4
C = 4
A cantaloupe costs $4
5W + 6(4) = 54
Multiply 6(4)
5W + 24 = 54
Subtract 24 from both sides of the equation
5W = 30
Divide both sides of the equation by 5
W = 6
A cantaloupe costs $4
A watermelon costs $6
Hope this helps :)
Answer:
Why is 3 an integer?
They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4
