ANSWER:
a = 11
b = 2
Explaination:
We have two equations:
a = 5b + 1 .....................(1)
a = 3b + 5.....................(2)
Here we use substitution method in order to solve the set of equations.
put a=3b+1 to equation (1)
3b + 5 = 5b + 1
Solve for b
5 = 5b -3b + 1
5-1 =2b
4 = 2b
b = 2
Now put the value of b = 2 into the equation (1) or (2)
a = 5b + 1
a = 5(2) + 1
a = 10 + 1
a = 11
Answer:
C) The range is 70.
Step-by-step explanation:
How to find range:
Subtract the lowest value from the highest value and there's your answer
Answer:
B) 3 1/3
Step-by-step explanation:
To divide the fractions, simply follow these steps.
First, flip the second fraction, so that the numerator is the denominator, and the denominator is the numerator. Change the division sign into a multiplication:
(2/3)/(1/5) = (2/3) * (5/1)
Next, multiply straight across:
(2/3) * (5/1) = (2 * 5)/(3 * 1) = 10/3
Finally, simplify. Change the improper fraction into a mixed:
10/3 = 3/3 + 3/3 + 3/3 + 1/3 = 3 1/3
B) 3 1/3 is your answer.
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Unit rate if your finding how much one cost.
Answer:
Z value for the first pump = -0.68
Z value for the second pump = 0.45
Step-by-step explanation:
Data provided in the question:
Mean labor cost to repair a heat pump = $90
Standard deviation = $22
Labor cost for the first, X₁ = $75
Labor cost for the Second, X₂ = $100
Now,
Z value for the first pump = [X₁ - Mean] ÷ Standard deviation
thus,
Z value for the first pump = [ $75 - $90] ÷ $22
= - 0.68
Z value for the second pump = [X₁ - Mean] ÷ Standard deviation
thus,
Z value for the second pump = [ $100 - $90] ÷ $22
= 0.45