Answer:
In the given two column proof two sides and included angles are equal.
Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles .In the figure sides BD≅BD , AB≅ BC and <ABD ≅,BDD Therefore triangle ABD and triangle CBD are congruent by SAS property of congruence.
Answer:
The total commission is $8905
Step-by-step explanation:
The commission on first $80000 = 2%
The commission on next $80000 = 4%
The commission on the sales of more than $160000 = 5%
Now we have to calculate the total commission on the amount of $242100. Let divide the amount in three parts, $80000 + $80000 + $82100 = 242100
Now total commission = $80000×2% + $80000 ×4% + $82100×5%
Total commission = $8905
Answer:
a. Mean = 20
Sd = 4
b. Probability of X = 20 = 0.1960
Step-by-step explanation:
we have
n = 25
p = 80% = 0.8
mean = np
= 0.8 * 25
= 20
standard deviation = √np(1-p)
= √25*0.8(1-0.8)
=√4
= 2
probability that exactly 20 favours ban
it follows a binomial distribution
= 25C20 × 0.8²⁰ × 0.2⁵
= 53130 × 0.01153 × 0.00032
= 0.1960
Probability of X = 20 = 0.1960
Answer:
A-The 14 people selected to participate
Step-by-step explanation:
Step-by-step explanation:
-8 × -1
8 × 1
2 × 4
I hope this helps!
