Answer:
Step-by-step explanation:
Taking square root both sides, we get
Therefore, the values of 
are:
Answer:
The probability that a household has at least one of these appliances is 0.95
Step-by-step explanation:
Percentage of households having radios P(R) = 75% = 0.75
Percentage of households having electric irons P(I) = 65% = 0.65
Percentage of households having electric toasters P(T) = 55% = 0.55
Percentage of household having iron and radio P(I∩R) = 50% = 0.5
Percentage of household having radios and toasters P(R∩T) = 40% = 0.40
Percentage of household having iron and toasters P(I∩T) = 30% = 0.30
Percentage of household having all three P(I∩R∩T) = 20% = 0.20
Probability of households having at least one of the appliance can be calculated using the rule:
P(at least one of the three) = P(R) +P(I) + P(T) - P(I∩R) - P(R∩T) - P(I∩T) + P(I∩R∩T)
P(at least one of the three)=0.75 + 0.65 + 0.55 - 0.50 - 0.40 - 0.30 + 0.20 P(at least one of the three) = 0.95
The probability that a household has at least one of these appliances is 0.95
Ok, basically if you want to find when both equations are equal just make them equal to each other. 0.925x^2 - 4x + 20 = -1.125x^2 + 6x + 40.
From there use algebraic steps to find out what x is ( the break - even point ).
0.925x^2 - 4x + 20 = -1.125x^2 + 6x + 40
0.855625x - 4x + 20 = 1.265625x + 6x + 40
-0.41x - 4x + 20 = 6x + 40
-4.41x + 20 = 6x + 40
20 = 10.41x + 40
-20 = 10.41x
-1.92122958694 = x
Rounded to the nearest tenth it's -1.9 = x.
Tell me if I got something wrong :)
748 student tickets were sold.
Step-by-step explanation:
Given,
Number of tickets sold = 1360
Revenue generated = $13328
Cost of each student ticket = $8
Cost of each non student ticket = $12
Let,
x be the number of student tickets sold
y be the number of non student tickets sold
According to given statement;
x+y=1360 Eqn 1
8x+12y=13328 Eqn 2
Multiplying Eqn 1 by 12
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 4
748 student tickets were sold.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
C = (F - 32) then F = C + 32
