Answer:
P(both students passed the exam) = 0.61948
Step-by-step explanation:
From the given information:
P(both students passed the exam) = P(both are science students or both are art major students or one is from each group)
= P (both are science students) + P(both are art students) + P(one from each group)
where;
P (both are science students) = (50/100) (0.9) × (44/99) × (0.9) = 0.18
P(both students are art) = (50/100) (0.7) × (49/99) 0.7 = 0.1213
P(one of the student are from each group) = (50/100) (0.9) ×(50/99) (0.7) + (50/100) (0.7)× (50/99)(0.9) =0.3182
P(both students passed the exam) = 0.18 + 0.1213 + 0.3182
P(both students passed the exam) = 0.61948
Answer:
FV= $34,222.33
Step-by-step explanation:
<u>First, we need to calculate the weekly interest rate:</u>
Weekly interest rate= 0.0289/52= 0.00056
<u>To calculate the future value (FV), we need to use the following formula:</u>
FV= {A*[(1+i)^n-1]}/i
A= weekly deposit
n= 15*52= 780
A= $35
FV= {35*[(1.00056^780) - 1]} / 0.00056
FV= $34,222.33
In a step by step fashion you solve the problem like so:
Move terms:
3f+2=8-3f
Combine like terms:
3f+3f=8-2
Divide
6f=6
Solution
f=1
Answer:
a)ab and yz, ac and xy, bc and xz
b)yz = xy = xz 30 = 37.5 = 45 3 = 3 = 3
ab ac bc 40 50 60 4 4 4
c)they are similar because all sides break down to ¾
Step-by-step explanation: i did this on my test
Number 8:
m1 = 120°
m2 = 60°
m3 = 120°
m4 = 60°
m5 = 60°
Number 9:
m1 = 100°
m2 = 70°
