Answer:
Step-by-step explanation:
6x=1/2(2x +7) Multiply both sides by 2
2*6x = 1/2(2x + 7)*2
12x = 2x + 7 Subtract 2x from sides
12x-2x =2x-2x+7
10x = 7 Divide by 10
x = 7/10
x = 0.7
Let's check it
6(0.7) = 4.2
1/2 (2*0.7 + 7)
1/2 (1.4 + 7)
1/2 ( 8.4)
4.2
Both sides check. The answer must be x = 0.7
Step-by-step explanation:
All you need to do is isolate the variable
Answer:
The interval [2.5, 12.5]
Step-by-step explanation:
<em>Tchebysheff’s Theorem states that for any distribution of probabilities if k ≥ 1, at least </em>

of the data will lie within k standard deviations of the mean.
We need then to find a k greater or equal than 1 such that

or the equivalent equation

Finding the value of k

So, applying Tchebysheff’s Theorem, the manager can assure that the number of employees that can be absent in a given day, lies in the interval
[7.5-2*2.5, 7.5+2*2.5] = [2.5, 12.5]
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➷ 40 inches = 3.33333
Area = length x width
Substitute the values:
Area = 9 x 3.33333
Solve:
Area = 30ft^2
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The angle the golfer went off line from the tee when they drove the ball
is
because the cosine rule has been applied to calculate the angle
From the question we are told that:
Distance of hole from tee 
Distance to the right 
Ball distance from hole 
Given that the three points form a triangle x,y,z respectively
Where



Using Cosine Rule

Therefore




In conclusion the angle the golfer went off line from the tee when they
drove the ball is mathematically deducted and give as

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