Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem:
Maximize contribution = 5X1 + 4X2 + 3X3
Subject to: 1X1 + 7X2 + 4X3 <= 90 (hours on machine 1)
2X1 + 1X2 + 7X3 <= 96 (hours on machine 2)
8X1 + 4X2 + 1X3 <= 90 (hours on machine 3)
X1, X2, X3 >=0
Determine the optimal solution using LP software. the optimal achieved is
X1=
X2=
X3=
Answer:
Step-by-step explanation:
[tex]\text{Maximize p = 5X1 + 4X2 + 3X3 subject to;} \\ \\ 1X1 + 7X2 + 4X3 <= 90[/tex]
[tex]2X1 + 1X2 + 7X3 <= 96[/tex]
[tex]8X1 + 4X2 + 1X3 <= 90[/tex]
[tex]X1 > = 0[/tex]
[tex]X2 >= 0[/tex]
[tex]X3 >=0[/tex]
[tex]\text{USing LP software, The Optimal Solution: Maximum Contribution} = 90.547;}\\ \\ x1 = 7.07692, \\ \\ x2 = 5.62393, \\ \\ x3 = 10.8889[/tex]
I’ll give points and brainalist for answer / explanation
Answer:
B. 48 cm²Step-by-step explanation:
The area between the concentric circles:
A = π(R² - r²)If we tale π ≈ 3, we know R = 5 cm, we see r = R - 2 = 5 - 2 = 3 cm, then
A = 3(5² - 3²) = 3(16) = 48 cm²Correct choice is B
A rectangular sheet of metal measures 8 inches by 10 inches. The metal is worth $3.00 per
square inch. How much is the sheet of metal worth?
Answer:
240$$
Step-by-step explanation:
find the area
A=LW
A=8x10
A=80
80x3=240
I will mark as the brainlest if correct
Answer:
Answer A
Step-by-step explanation:
what is 47 ÷ 12 1/3 =
Answer: 47/363
(Decimal: 0.129477)
what is the value of m when m/2=4.8
Answer: 9.6
Step-by-step explanation:
You need to isolate the m and in order to do that then you have to multiply both sides by 2
So m/2 x 2 = m
4.8 x 2 = 9.6 which is the answer
Answer:
m = 9.6Step-by-step explanation:
m/2 = 4.8
m = 4.8×2
m = 9.6
p-value for p = 0.23 is closest to: 0.006 or 0.40?
Answer:
0.40 I'm pretty sure tbh
What are the x-intercepts of the graph of y = x + 7x + 10?
O A. (5,0) and (2.0)
O B. (-7,0) and (-10,0)
O c. (7,0) and (10,0)
O D. (-5,0) and (-2, 0)
Answer:
D
Step-by-step explanation:
I hope this helps a bit.
A parallelogram is shown below:
A parallelogram ABCD is shown with DC equal to 9 feet and the perpendicular distance between AB and DC equal to 8 over 9 foot.
Part A: What is the area of the parallelogram? Show your work. (5 points)
Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
Answer:
a). Area of the parallelogram = 8 cm²
b). Area of both the triangles = 4 cm²
Step-by-step explanation:
a). Area of the given parallelogram ABCD = Base × Height
= DC × (Vertical distance between
AB and DC)
= 9 × [tex]\frac{8}{9}[/tex]
= 8 ft²
b). If we decompose this parallelogram into two triangles ΔABC and ADC by a diagonal AC,
Area of both the triangles will be equal.
(Since, diagonal of a parallelogram divides the parallelogram into two equal triangles)
Therefore, area of ΔABC = Area of ΔADC = 4 ft²
Which point is a solution to the system of inequalities below?
x+2y<1
x-4y>7
A (-4,-1)
B (2,-3)
C (3,-1)
D (4,-1)
Answer:
Hello I'm not to sure but I think A and B but I'm not sure
Step-by-step explanation:
Branliest to correct answer please explain how you solved it
Answer: it is a.
Step-by-step explanation: because I'm smart.
Answer: 2% or 3%
Most likely 2%.
Step-by-step explanation:
There’s a 20 sided dice and 100÷20=5
but you have to think of it as 26
2% x 26= 0.52 make 0.52 a 52 and take off the 2 from 52 and make it your answer, 2%
thats what I came up with and gathered after some tests on a normal online calculator that doesn‘t do remainders.
What is the value of x in this equation: 4x+5=3x+4
Use the slope formula to find the slope of the line through the points (2,1) and (8,7)
Answer:
m = 1
Step-by-step explanation:
(2,1) and (8,7)
m = (y2-y1)/(x2-x1)
m=(7-1)/(8-2)
m=6/6
m = 1
What is the equation for the line of reflection?
x=6
y=6
y=x
y=2
The number of calories in fruit smoothies varies from brand to brand. The population distribution of calories is strongly skewed to the right. The central limit theorem says that:___________
a. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is exactly Normal.
b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.
c. as the number of brands of fruit smoothies increases, their average calorie count gets ever closer to the mean μ for all fruit smoothies of this type.
d. the average amount of calories of a large number of fruit smoothie brands has a sampling distribution with the same shape (strongly skewed) as the population distribution.
e. the average calorie count of a large number of fruit smoothie brands has a sampling distribution with a similar shape but not as extreme (skewed, but not as strongly) as the population distribution.
Answer:
b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Applying to this question:
The distribution of the number of calories in fruit smoothies is strongly skewed to the right. However, in a sample with a large number of fruit smoothies, the sampling distribution will be approximately normal, so the correct answer is given by option B.
Answer:
B
Step-by-step explanation:
PLS HELP ME NOW!! pls pls pls
Answer:
x/300=24/100
Step-by-step explanation:
24/100 is the same as 24% and by cross multiplying you can find 24% of 300
Answer:
24 percent just means "24 for every hundred" 300 is literally three hundreds, so 24 percent of it three 24s, or 72.
please help me!!!!!!!!!!!!
Answer:
C. and D. are correct
Step-by-step explanation:
I solved all of them
A would be 0.5 not 2
B would be 2.5 not 2
E would be 0.5 not 2
hope this helps <3
In the linear equation y = -6x - 4, the y-intercept is:
-6
6
-4
4
Answer:
The second one
4/5 is next to x
And the y intercept is NEGATIVE 6 or (-6)
Step-by-step explanation:
What is the area of the triangle in the diagram?
theres no diagram given
A right prism has height 8 and triangular bases with sides of length 7, 8, and 9. What is the: Total surface area of the prism?
Answer:
the total surface area of the prism is 245.67
Step-by-step explanation:
Given;
height of the triangular prism, h = 8
length of the triangular bases, = 7, 8, and 9
The total surface area of the prism is calculated as;
T.S.A = ph + 2B
Where;
p is the perimeter of the base
B is area of the base
P = 7 + 8 + 9 = 24
Area of the base can be calculated using Hero's formula;
[tex]S = \frac{7+8+9}{2} = 12\\\\Base \ area (B) = \sqrt{12(12-7)(12-8)(12-9)} = 26.833[/tex]
T.S.A = (24 x 8) + 2 x 26.833
T.S.A = 192 + 53.666
T.S.A = 245.67
Therefore, the total surface area of the prism is 245.67
I need these three, I’ll give brainliest
A. E+17-1=2x. b. R0 + x=12 C. 13= x-1+15+10-1 divided by 10=24
hope this helps!!
and I hope you understand it lol!
Help please!!!!!! I don't have a lot of time
Answer:
Its 5,...................
Answer:
5
Step-by-step explanation:
simplify the exponent
35/8-1
simplify
35/7
simplify
5
Anyone can help with this
Answer:
C
Step-by-step explanation:
Notice how C is the only function that is quadratic. If you expand (2x-1)^2, you get 4x^2-4x+1. Since x is raised to the power of two, it isn't linear, but quadratic.
Answer:
C
Step-by-step explanation:
i used photomath and C was not the linear one!
Question 5. What is the mean of 51, 60, 80, 32, 47, 30 * A.50 B.6 c. 60 D40
Answer:
A (50)
Step-by-step explanation:
Mean is the total numbers added up divided by the # of numbers.
There are 6 numbers.
51 + 60 + 80 + 32 + 47 + 30 = 300
300/6 = 50
Therefore, the answer is A.
Answer:
A
Step-by-step explanation:
Because to find the mean you add up all the numbers.
51+60+80+32+47+30=300
Then your suppose to divide by the sum.
300/6=50
PLS HELP 2772288282 PlsPLA PLASS
Step-by-step explanation:
I think it'S right......
Which is the graph of f(x) = 3^x.
Questions in the attachments
Thank you to whoever answers :)
Answer:
A.
C.
D.
That should be the answer.
Hopefuly that helped.
This is Adele’s solution for the equation.
x² - 8x – 33 = 0
Step 1: x² - 8x = 33
Step 2: x² - 8x + 16 = 33 + 16
Step 3: (x – 4)² = 49
Step 4: x – 4 = 49 OR x – 4 = - 49
Step 5: x = 53 OR x = - 45
Where did Adele make her mistake? What are the solutions to this equation? Show all of your work.
Answer:
B
Step-by-step explanation:
I'm pretty sure
What is the horizontal asymptote of the function g(x)= 3(0.8)^x +6
Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a heart and then, without replacement, a spade? Express your answer as a fraction or a decimal number rounded to four decimal places
Answer:
[tex]\frac{13}{204}[/tex] ≈ 0.0637
Step-by-step explanation:
Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.
To find: probability of choosing a heart and then, without replacement, a spade
Solution:
Probability refers to chance of occurrence of any event.
Probability = Number of favorable outcomes ÷ Total number of outcomes
Total number of cards = 52
Number of hearts = 13
So,
probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]
Number of remaining cards = [tex]52-1=51[/tex]
Number of spades = 13
Probability of choosing a spade = [tex]\frac{13}{51}[/tex]
Events consisting of choosing a heart and spade are independent.
So,
Probability of choosing a heart and then, without replacement, a spade =
Probability of choosing a heart × Probability of choosing a spade
= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637
