Answer:
Variance for a total of 150 games is 20.67
Step-by-step explanation:
If x follows binomial distribution with parameters n and p then the probability distribution of tends to N (0.1)
As where E(x)= np, var (x) = npq
var (x) = 1500.165 (1-0.165)
(since, n= 150, p=0.165,
q = 1-p = 1-0.165)
= 20.66625
var (x) = 20.67
variance for a total of 150 games is 20.67
The correct answer:
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Explanation:
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Assuming you mean:
" √(9a²) + (√49b) − a + √b " ;
Simplify the expression:
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Note that: " √(9a²) = 3a " ;
"√(49b) = 7√b " ;
And we write the expression
→ " 3a + 7√b − a + √b " ;
Combine the "like terms:
" + 3a − a = 2a " ;
" + 7√b + 1√b = 8√b " ;
Rewrite:
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" 2a + 8√b " ; which is: Answer choice: [C]: " 2a + 8√b " .
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Answer:
A)
B) Angle relationship used to find was alternate interior angles of a traversal between two parallel lines
Step-by-step explanation:
Given :
To find measure of .
Part A
From the figure we can say:
[Alternate interior angles are congruent]
∴ [By substitution ∵ ]
For Δ PQR
[Sum of two interior angles of a triangle is equal to the opposite exterior angle]
[By subtraction property of equality]
[By substitution ∵
Part B:
We used the angle relationship of alternate interior angles of traversal between two parallel lines to find measure one angle of the Δ PQR which in turn helped us to find the measure of other angle of triangle which is as the two angles found are opposite to the exterior angle that is =120°
Relation used:
[Alternate interior angles are congruent]
[By substitution ∵ ]
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