25x^2+10x+1
25x^2+5x+5x+1
5x(5x+1)+1(5x+1)
(5x+1)(5x+1)
(5x+1)^2
Answer:
B. binomial with n = 5 and p = 1/6
Step-by-step explanation:
Given that James reads that 1 out of 6 eggs contains salmonella bacteria.
So he never uses more than 5 eggs in cooking.
If eggs do or don't contain salmonella independently of each other, then
probability for any one egg to contain salmonella bacteria is the constant 1/6.
Also there are only two outcomes, either bacteria present or not.
Hence the number of contaminated eggs when James uses 5 chosen at random has the distribution is Binomial
Here n = no of trials = no of eggs he uses = 5
Probability = 1/6
So option B is right.
We can represent this situation by the equation 2x+4x+5x=33.
Then 11x=33, and x = 3.
Then the children's ages are in the ratio 2x:4x:5x, or 2(3):4(3):5(3), or
6:12:15.
Do these 3 ages add up to 33? 6 + 12 + 15 = 33? YES!
The children's ages are 6, 12 and 15 years respectively.
There are infinite solutions.
By observing the inequality, we can tell that the unknown number, n, is greater than the number 4.