Answer:
0.333 in / hr
Step-by-step explanation:
203 / 25.4
7.992 in
7.922 in / day
7.922 in / 24 hr
0.333 in / hr
The value of x + y is 12
<h3>How to solve for x + y?</h3>
The equation is given as:
x^3 - y^3 = 218
Make x^3 the subject
x^3 = 218 + y^3
The next cubic expression greater than 218 is 343.
So, we assume
x^3 = 343
This gives
x = 7
Substitute x^3 = 343 in x^3 = 218 + y^3
343 = 218 + y^3
Evaluate the like terms
y^3 = 125
This gives
y = 5
So, we have:
x + y = 7 + 5
Evaluate
x + y = 12
Hence, the value of x + y is 12
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Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86
To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)
7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8
This implies that the company will need to sell at least 106 items to make a profit.
The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106
The solution to the inequality is as follows
Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695
Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66
Profit ≥ (695 - 694.66)
Profit ≥ 0.34
The company must sell at least 106 items to make a profit.
Answer:
5a-7=24
5a=24+7
a=31/5
Step-by-step explanation:
Answer: 0.2872
Step-by-step explanation:
Given : In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product, 260 of these people said they never did so.
i.e. n= 1000 and x= 260
⇒ Sample proportion : 
z-value for 95% confidence interval : 
Now, an upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate. :-
∴ An upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate : 0.2872
