Answer:
100x + 120y = z
z = $63000
Step-by-step explanation:
Product Welding Assembly Painting Contribution to profit
X 2x hours 3x hours 1x hour = $100x
Y 3y hours 2y hours 1y hour = $120y
Total hours 1500 hours 1500 hours 550 hours
available
X is defined as product X
Y is defined as product Y
2x + 3y = 1500
x + y = 550
y = 550 - x
2x + 3(550 - x) = 1500
2x + 1650 - 3x = 1500
150 = x
y = 550 - 150
y = 400
Objective Function Z = 100x + 120y
Z = 100(150) + 120(400)
Z = 15000 + 48000
Z = $63000
<span>A typical door measures about 80 inches tall by 36 inches wide. The width in that pair is 36 inches, so Hank's reasonable estimate for the classroom door width would be 36 inches. Converting inches to feet uses 12 inches = 1 foot, and 36 ÷ 12 = 3, so the width is about 3 feet.</span>
Response:
I think the answer is 8.48 seconds
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We have to calculate the result of the division problem.
To determine the result, long division will be employed.
)
Initially, we quotient with x since 
fits into 
, x times.
Thus, we have:
)(x
After subtraction, we obtain:
We can see that fits into 
, -2 times; therefore, the next addition to the quotient will be -2. This results in a final quotient of (x-2).
Answer:
3) One-sided, compare two populations
Step-by-step explanation:
A manufacturer intends to evaluate if there is an improvement in the average gas mileage among mid-sized sedans that use a new type of tire, in comparison to those that do not utilize this tire type.
Thus, we have two distinct populations:
Population 1: Mid-sized sedans equipped with the new tire.
Population 2: Mid-sized sedans without the new tire.
Consequently, a comparison is being made between these two populations.
Furthermore, the manufacturer aims to determine if there is an enhancement in average gas mileage. As such, the alternative hypothesis will be right-tailed, indicating it is a one-sided test.
