The difference of two numbers is equal to 0.6. Their quotient is also 0.6. What are the numbers?
1 answer:
Let one number be x and the other number be y.
The 2 equations are:
x - y = 0.6 --------------- (1)
x/y = 0.6 --------------- (2)
From equation (1):
x - y = 0.6
x = 0.6 + y --------------- Sub into (2)
0.6 + y= 0.6y
y - 0.6y = - 0.6
0.4y = - 0.6
y = -0.6 ÷ 0.4
y = -1.5
Sub y = -1.5 into (1):
x - y = 0.6
x - (-1.5) = 0.6
x + 1.5 = 0.6
x = 0.6 - 1.5
x = - 0.9
Answer: The numbers are -0.9 and -1.5
The 2 equations are:
x - y = 0.6 --------------- (1)
x/y = 0.6 --------------- (2)
From equation (1):
x - y = 0.6
x = 0.6 + y --------------- Sub into (2)
0.6 + y= 0.6y
y - 0.6y = - 0.6
0.4y = - 0.6
y = -0.6 ÷ 0.4
y = -1.5
Sub y = -1.5 into (1):
x - y = 0.6
x - (-1.5) = 0.6
x + 1.5 = 0.6
x = 0.6 - 1.5
x = - 0.9
Answer: The numbers are -0.9 and -1.5
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Hello attached below is the sample of the shopping cart data in binary matrix format resides in the file AppleCart
answer :
a) <em>Antecedent : Retina display, stand; Consequent : speakers</em>
b) The support count of that item set which is convoluted in the rule having the largest life ratio = 204 from the output of the " list of Rules "
c) 62.77%
d) The lift ratio = 2.27
e) The top 15 rules have features that are common and this makes apple to put interest on the assortments. as seen an iPad with a retina is always purchased with other accessories, Also an iPad with retina is always paired with memory upgrade as well.
Step-by-step explanation:
steps:
i) generate a list of association rules
ii) update the minimum support to 200 and the required minimum confidence to 50% ( on the dialog box )
a) using the output of the list of association rules
The rule expression for the largest life ratio can be written as
<em>Antecedent : Retina display, stand; Consequent : speakers</em>
This means that if an iPad with retina display is acquired with stand then the speakers are also acquired ( Rule with largest lift ratio )
b) Interpret the support count of the item set involved in the rule with the largest lift ratio
The support count of that item set which is convoluted in the rule having the largest life ratio = 204 from the output of the " list of Rules "
i.e. all items ( 3 ) purchased where purchased 204 times \
c) Interpret the confidence of the rule with the largest lift ratio.
confidence of the rule with the largest lift ratio can be interpreted as
= 204 / 325 = 62.77% i.e. speakers where acquired 204 out of 325 times of acquiring the retina display and stand together
d) Interpret the lift ratio of the rule with the largest lift ratio.
The lift ratio = 2.27
this means that a customer that has acquired a retina display, and a stand is 127% more prospective than other customers who purchase speakers
e) Review the top 15 rules,
The top 15 rules have features that are common and this makes apple to put interest on the assortments. as seen an iPad with a retina is always purchased with other accessories, Also an iPad with retina is always paired with memory upgrade as well.
