Answer:
Step-by-step explanation:
Sampling with replacement means that we choose a marble, note its colour, put it back and shake the box, then choose a marble again.
There are marbles in total. The probability that the first chosen marble is blue is then Maya replaces this marble and the probability of choosing the second blue marble is the same. Using the product rule, the probability of drawing 2 blue marbles in a row is
Answer:
19 that is all
Step-by-step explanation:
12+7
3-3 is 0
Answer: Expected value
Step-by-step explanation: The expected value of a random variable refers to a predicted variable which is obtained from the summation of the product of all possible values and the probability of occurrence of each value. The expected values gives the mean or average possible value over the cause of a certain experiment or scenario. It is thus the probability weighted average of all possible values or outcomes of an experiment.
The expected value could be represented mathematically as thus;
E(x) = [Σ(x * p(x)]
Where x = all possible values or outcomes of x;
p(x) = corresponding probability of each x value.
Answer:
The given statement is true.
Step-by-step explanation:
In order to inscribe a circle in a triangle, the circle's center must be placed at the incenter of the triangle.
This statement is true.
The INCENTER is the center of the circle that is inscribed in the triangle. Like the centroid, the incenter is always inside the triangle.
There are 12 students on the team.
The number of permutations of n objects taken r at a time is given by
Since factorials are numbers multiplied by the number below them, down to 1, we know that the entire problem is multiplication. Since 1320 ends in 0, we know that it is divisible by 10, so there is a good chance 10 is one of the factors.
1320/10 = 132
From our multiplication tables, we know that 132=12*11; this means that we have 12*11*10 = 1320. Since 12 is the largest factor, we know that there are 12 students on the team.