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GalinKa [24]
2 years ago
10

Let xij = gallons of component i used in gasoline j. Assume that we have two components and two types of gasoline. There are 8,0

00 gallons of component 1 available, and the demand gasoline types 1 and 2 are 11,000 and 14,000 gallons respectively. Write the supply constraint for component 1.
A) x21 + x22 = 8000
B) x12 + x22 = 8000
C) x11 + x12 = 8000
D) x21 + x22 = 8000
Mathematics
1 answer:
Mnenie [13.5K]2 years ago
3 0

Answer:

option c) x₁₁ + x₁₂ = 8000

Step-by-step explanation:

Given:

xij = gallons of component i used in gasoline j

gallons of component 1 available = 8,000

demand gasoline types 1 = 11,000

demand gasoline types 2 = 14,000

Here, we have only component 1 available i.e i = 1 only

( therefore, all the options containing i = 2 gets eliminated )

thus,

component 1 will fulfill the demand of gasoline types 1 and 2 i.e j = 1 and 2

hence,

the equation satisfying the above conditions comes out as:

x₁₁ + x₁₂ = 8000

that means gallons of component 1 used in gasoline 1 and 2 and the total equals to the gallons of component 1 available i.e 8000

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If n =270 and (p-hat) =0.43, find the margin of error at a 99% confidence level.. give answer to 3 decimals
Troyanec [42]

Answer:

0.078

Step-by-step explanation:

Margin of error = z√(p(1-p)/n)

Given

p-hat = 0.43

n = 270

z at 99% confidence interval = 2.576

Substitute

MOE = 2.576√0.43(1-0.43)/270

MOE = 2.576√0.43*0.57/270

MOE = 2.576√0.2451/270

MOE = 2.576*0.030129

MOE = 0.078

Hence the margin og error is 0.078

7 0
2 years ago
An unknown capital gets added 5% interest per year by a bank. After how many years does the capital get three times as big, cons
shepuryov [24]

Answer:

After 23 years , the capital will get three times as big

Step-by-step explanation:

Firstly, let us write the compound interest formula

P = I( 1 + r)^n

Since we are considering a capital rise of 3 times

If I, the initial value is x, the P

value later will be 3x

Interest rate is 5/100 = 0.05

so we need the value of t

This will be;

3x = x(1 + 0.05)^t

3= 1.05^t

ln 3 = t ln 1.05

t = ln 3/ln 1.05

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6 0
2 years ago
your classmate tells you the details of the great deal he got on his mortgage: 30- year 3.5% fixed rate with a 10% down payment.
DIA [1.3K]

Answer:

$13,600

Step-by-step explanation:

If he puts a down payment of 10% on $136,000

Then is should be $13,600

4 0
3 years ago
Mr. Brady is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole. The first clu
dmitriy555 [2]

Answer:

The figure is attached and the total distance is 1031 feet.

Step-by-step explanation:

The graph is indicated in the attached figure.

For calculation of distance consider following

Point Flagpole is (0,0)

Point Clue1 is (0,5)

Point Clue2 is (6,0)

Point Clue3 is (0,-5)

So the distance is calculated as follows

d_{T}=[d_{FP\ to\ Clue1}+d_{Clue1\ to\ Clue2}+d_{Clue2\ to\ Clue3}]*distance\ per\ unit\\d_{T}=[\sqrt{(Clue1_x-FP_x)^2+(Clue1_y-FP_y)^2}+\sqrt{(Clue2_x-Clue1_x)^2+(Clue2_y-Clue1_y)^2}+\sqrt{(Clue3_x-Clue2_x)^2+(Clue3_y-Clue2_y)^2}]**distance\ per\ unit\\Substituting the values

d_{T}=[\sqrt{(0-0)^2+(5-0)^2}+\sqrt{(6-0)^2+(0-5)^2}+\sqrt{(0-6)^2+(-5-0)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{(0)^2+(5)^2}+\sqrt{(6)^2+(-5)^2}+\sqrt{(-6)^2+(-5)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{0+25}+\sqrt{36+25}+\sqrt{36+25}]*50 \text{ feet}\\d_{T}=[\sqrt{25}+\sqrt{61}+\sqrt{61}]*50 \text{ feet}\\d_{T}=[5+7.81+7.81]*50 \text{ feet}\\d_{T}=[20.62]*50 \text{ feet}\\d_{T}=1031 \text{ feet}\\

So the total distance travelled is 1031 feet.

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3 years ago
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Anastaziya [24]
The other angle is 65 degrees
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