Answer:
Step-by-step explanation:
Let X be the initial price and P be the final price.
#Given a discount of 15% then 10% of that amount:
![P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.10)]\\\\=0.765X](https://tex.z-dn.net/?f=P_1%3D%281-o%29%5BX%281-d%29%7D%5C%5C%5C%5C%3D%281-0.15%29%5BX%281-0.10%29%5D%5C%5C%5C%5C%3D0.765X)
Hence, the finial price is 76.5% of the initial price.
#Given a discount of 10% then 15% of that amount:
![P_1=(1-o)[X(1-d)}\\\\=(1-0.15)[X(1-0.1)]\\\\=0.765X](https://tex.z-dn.net/?f=P_1%3D%281-o%29%5BX%281-d%29%7D%5C%5C%5C%5C%3D%281-0.15%29%5BX%281-0.1%29%5D%5C%5C%5C%5C%3D0.765X)
Hence, the finial price is 76.5% of the initial price.
#Given a discount of 25%
Hence, the finial price is 75.0% of the initial price. It therefore give's the best price due to it's 25% price reduction.
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:
58.43%
Step-by-step explanation:
In this case we have that the probability that they are different is the opposite of the probability that they are the same, therefore, in each case it would be:
P (plain, plain) = (12/20) (11/19)
P (p, p) = 132/380
P (chocolate, chocolate) = (5/20) (4/19) = 20/380
P (ch, ch) = 20/380
P (currant, currant)= (3/20) (2/19) = 6/380
P (c, c) = 6/380
The probability that they are equal is the sum of each:
P (equal) = 132/380 + 20/380 + 6/380
P (equal) = 0.4157
Therefore, the probability that they are different is:
P (different) = 1 - 0.4157
P (different) = 0.5843 = 58.43%
It means that the probability is 58.43%
Answer:
7
Step-by-step explanation:
(x,y)
Answer:
Answer the first choice.
Step-by-step explanation:
Given
Points (-2,6) and (0,2)
y2 = 6
y1 = 2
x2 = - 2
x1 =0
m = (y2 - y1)/(x2 -x1)
Solution
m = (6 - 2)/(-2 - 0)
<em>m = 4 / - 2 <<<< ===== Answer.. </em>
m = - 2
Remark
If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.
