How do you verify factoring is correct?
1 answer:
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Answer:
cm
Step-by-step explanation:
The volume of the box is:
V = height * length * width
V = x*(66 - 2*x)*(90 - 2*x)
V = (66*x - 2*x^2)*(90 - 2*x)
V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3
V = 4*x^3 - 312*x^2 + 5940*x
where x is the length of the sides of the squares, in cm.
The mathematical problem is :
Maximize: V = 4*x^3 - 312*x^2 + 5940*x
subject to:
x > 0
2*x < 66 <=> x < 33
In the maximum, the first derivative of V, dV/dx, is equal to zero
dV/dx = 12*x^2 - 624*x + 5940
From quadratic formula
But , then is not the correct answer.
Answer:
Tuesday's Z-score is 7.56
Step-by-step explanation:
We are given that a department store, on average, has daily sales of 28,651.79 and the standard deviation of sales is $1000.
Also, it is given that on Tuesday, the store sold $36,211.08 worth of goods.
Let X = Daily sales of goods
So, X ~ N()
The z-score probability distribution is given by;
Z = ~ standard normal N(0,1)
Now, Tuesday,s Z-score is given by;
Z = = 7.56
Yes, Tuesday was an unusually good day as on this day more worth of sales takes place as compared to the average daily sales of $28,651.79 .