Answer:
55
Step-by-step explanation:
Answer:
1 hour 20 minutes
Step-by-step explanation:
Time to fix car ( repair time ) = 20 minutes
Breakdown rate ( λ ) = 2 car per hour
<u>first step : determine service the service rate ( μ )</u>
= 60 minutes / 20 minutes
= 3 cars per hour
<u>next : determine the average waiting time for a disabled car </u>
= 1 / (μ - λ)
= 1 / service rate - breakdown rate
= 1 / ( 3 - 2 )
= 1 / 1 = 1 hour
Finally Total time for a disabled car to be fixed
= repair time + average waiting time
= 20 minutes + 60 minutes
= 1 hour 20 minutes
<h3>
Answer: Choice C) 9m^8</h3>
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Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).
The slope-intercept form:
m - slope
b - y-intercept
We have the points (1, -5) and (9, 11). Substitute:
Therefore we have
Put the coordinates of the point (1, -5) to the equation:
<h3>Answer: y = 2x - 7</h3>
Answer: G. 12.5, 7.5, 10
Step-by-step explanation:
To determine the lengths of metal that could be used to form the tight angle triangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
The hypotenuse is the longest side while the opposite and adjacent sides are the shorter side. Therefore,
F.
8² = 4² + 4²
64 = 16 + 16 = 32
A right angle triangle cannot be formed because they are not equal.
G.
12.5² = 7.5² + 10²
156.25 = 56.25 + 100 = 156.25
A right angle triangle can be formed because they are equal.
H.
23² = 11² + 9²
529 = 121 + 81 = 202
A right angle triangle cannot be formed because they are not equal.
J.
96² = 12.5² + 6²
9216 = 156.25 + 36 = 192.25
A right angle triangle cannot be formed because they are not equal.
