Answer:
The system of equations are;
3x + 2y = 170
4x +6y = 360
Step-by-step explanation:
Form simultaneous equations and solve
Let x=price of children tickets
Let y=price of adult tickets
The Brown Family paid $170 for 3 children and 2 adults , this forms the equation as:
3x + 2y =$ 170
3x + 2y = 170 --------------------------equation (i)
The Peckham Family paid $360 for 4 children and 6 adults.
4x + 6y = $360
4x +6y = 360 ---------------------------equation (ii)
Solving the equations by graph will give value of x=30 and y=40
The price of children tickets was $30 and that of adults was $40
Answer:
If an angle is acute, then it cannot be obtuse. ∠A is acute. Conclusion: ∠A cannot be obtuse.
Answer with step-by-step explanation:
If AD = DB, then D would be the midpoint of AB. If AB = BC, then B would be the midpoint of AC. If so, lets add another point called E. E is the midpoint of BC, which would divide AC into fourths. DC = DB + BE + EC. So, DC is 3/4 of 24, which is 18.
Hope this was helpful!
Answer:
-5x+2y-2
Step-by-step explanation:
Hope this helps
Answer:
a = 0.05
b = 0.028
c =0.014
Step-by-step explanation:
Given that;
inspector A visually inspected 1000 ceramic mugs and found flaws in 36 of them.
Let X represent Inspector A
P(X) =
= 0.036
inspector B visually inspected 1000 ceramic mugs and found flaws in 42 of them.
Let Y represent Inspector B
P(Y) =
= 0.042
A total of 950 mugs were found to be good by both inspectors.
i.e (X∩Y)' = 950
P (X∩Y)' =
= 0.095
We are tasked to find :
a) the probability that a flaw was found in this mug by at least one of the two inspectors [i.e P (X∪Y)]
b) the probability that flaws were found in this mug by both inspectors.
[i.e P ( X∩Y)]
c) the probability that a flaw was found by inspector B but not by inspector A. [i.e P (X) - P ( X∩Y)]
With a);
P (X∪Y) = 1 - P(A∩B)'
P (X∪Y) = 1 - 0.950
P (X∪Y) = 0.05
b)
P(X∩Y) = P(X) + P(Y) - P(X∪Y)
P(X∩Y) = 0.036 + 0.042 + 0.05
P(X∩Y) = 0.028
c)
P (X) - P ( X∩Y) = 0.042 - 0.028
P (X) - P ( X∩Y) = 0.014
Therefore;
the probability that a flaw was found in this mug by at least one of the two inspectors = 0.05
the probability that flaws were found in this mug by both inspectors = 0.028; &
the probability that a flaw was found by inspector B but not by inspector A = 0.014