-7x-5(4x+8)=149
Distribute
-7x-20x-40=149
Simplify
-27x-40=149
Add
-27x=189
Divide
X=-7
Answer:
3.6% of the ball bearings will have diameters of 20.27 mm or more.
Step-by-step explanation:
We can calculate this proportion using the z-score.
We have a normal distribution with mean 20.00 mm and standard deviation of 0.150 mm.
The value for X is 20.27 mm.
Then, the z-score and its associated probability are:
The correct answer is B. Hope this helps!
The cost to equip all the stations in the chemistry lab is calculated as: $393.75.
<h3>How to Calculate Total Cost?</h3>
In this scenario, we are given the following:
Total number of stations = 21 stations
Length of rubber tubing each of the stations in the chemistry lab needs = 5 feet
Total length of rubber tubing needed for all stations in the chemistry lab = 21 × 5 = 105 feet
Cost of 1 rubber tubing = $6.25 per yard
Convert 5 feet to yard:
1 yard = 3 feet
x yard = 5 feet
x = (5 × 1)/3
x = 5/3 feet.
So, the cost of 1 rubber tubing = $6.25 per 5/3
Cost of total length of tubbing needed = (105 × 6.25)/5/3 = (105 × 6.25) × 3/5
Cost of total length of tubbing needed = $393.75
Therefore, the cost to equip all the stations in the chemistry lab is calculated as: $393.75.
Learn more about the How to Calculate Total Cost on:
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Answer:
Factoring: y2-900
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 900 is the square of 30
Check : y2 is the square of y1
Factorization is : (y + 30) • (y - 30)
