Points A, B, and C are collinear. Point B is between A and C. Solve for x Find AC if BC=11x-1, AC=21x, and AB=11. A) 17 B) 22 C)
1 answer:
Answer:
<h2>AC = 21</h2>Step-by-step explanation:
Collinear points are points are points that lies on the same line. If point B is between A and C, then AC = AB+BC
Given AC = 21x, AB = 11 and BC = 11x-1, in order to find the value of x, we will substitute the given parameters in the relationship above to have;
Subtracting 11x from both sides;
Since AC = 21x
substituting x = 1 into AC,
AC = 21(1)
AC = 21
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The expectation the instructor to send each day
E(X) = 3.65
Step-by-step explanation:
Given data x : 0 1 2 3 4 5
P(X=x) : 0.05 0.05 0.1 0.1 0.4 0.3
The given data satisfy the two conditions
I) Given all probabilities are p₁(x) ≥0
ii) sum of all probabilities is equal to one
0.05 + 0.05 + 0.1 + 0.1 + 0.4 +0.3 =1
Therefore given data is discrete probability distribution
<u>Expectation</u> :-
suppose a random variable X assumes the values with respective probabilities
, then the Expectation or Expected value of X , denoted by E(X) = ∑pi xi
on simplification, we get
E(X) = 3.65