Answer:
AAS
Step-by-step explanation:
What is the maximum number of chairs and tables Ben can make in a month.
Answer:
Maximum number of tables he can make per month = 100 tables
Maximum number of chairs he can make per month = 400 chairs
Step-by-step explanation:
He is not able to make more than 500 pieces of furniture per month
Also, he needs to make at least 25 tables and at least 100 chairs each month.
x is number of tables and y is number of chairs per month.
Thus, inequality to represent this is;
x + y ≤ 500
Constraints are;
x ≥ 25
y ≥ 100
Since minimum is 25 tables and 100 chairs, we say that 1 table would need 100/25 = 4 chairs
Thus, ratio of tables to chairs should always be 1:4
Thus,
Maximum number of tables per month = 1/5 × 500 = 100 tables
Maximum number of chairs per month = 4/5 × 500 = 400 chairs
divide the rent by the number of people
2275/7 = 325
so each person needs to pay 325
Answer:
C. Events E and A are independent
Step-by-step explanation:
we will verify each options
(a)
We can use independent events formula
P(B∩C)=P(B)*P(C)
we are given
P(B)=0.4
P(C)=0.25
P(B∩C)=0.05
now, we can plug these values into formula
and we get
0.05=0.4*0.25
0.05=0.1
we can see that left side is not equal to right side
so, this is FALSE
(b)
We can use independent events formula
P(D∩A)=P(D)*P(A)
we are given
P(D)=0.25
P(A)=0.6
P(D∩A)=0.1
now, we can plug these values into formula
and we get
0.1=0.25*0.6
0.1=0.15
we can see that left side is not equal to right side
so, this is FALSE
(c)
We can use independent events formula
P(E∩A)=P(E)*P(A)
we are given
P(E)=0.5
P(A)=0.6
P(E∩A)=0.3
now, we can plug these values into formula
and we get
0.3=0.5*0.6
0.3=0.3
we can see that both sides are equal
so, this is TRUE
(d)
We can use independent events formula
P(D∩B)=P(D)*P(B)
we are given
P(D)=0.25
P(B)=0.4
P(D∩A)=0.15
now, we can plug these values into formula
and we get
0.15=0.25*0.4
0.15=0.1
we can see that left side is not equal to right side
so, this is FALSE
Set up a proportion
x is the estimated number of returned phones. cross multiply to find x
12 x 2000 = 24000
350 x X = 350x
24000=350x
Divide
x=68.57
B.) 68
