Answer:
1/4
Step-by-step explanation:
there are 24 boats in total. out of those 24 boats, six are from rhode island. so 6/24 boats are from rhode island. simplified it will be 1/4 :)
A baker made 36 blueberry muffins on Monday. What percent of the total number of muffins were blueberry if the baker made 90 muffins?
The blueberry muffins made by baker on monday is 40% of the total muffins made by the baker .
What is Percentage ?A quantity or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. In order to determine the percentage of a number, divide it by its sum and then multiply the result by 100. The proportion thus refers to a component per 100. The word percent indicates a percentage of 100. The word "percent" denotes "per 100." The letter "%" stands for it.
Now in the given question,
Total number of muffins baker made = 90
Blueberry Muffins made by baker on monday = 36
Prcentage of blueberry muffins out of total muffins \(=\frac{36*100}{90} = 40 %\)
So , the Blueberry Muffins were 40% of the total muffins baker made.
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Use the simplex algorithm to find the optimal solution to the following LP (solve manually): maxz= 36x1+30x2−3x3−4x4
s.t. x1+x2−x3≤5
6x1+5x2−x4≤10
∀xi≥0
The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.
maximize: z = c1x1 + c2x2 + ... + cnxn
subject to
a11x1 + a12x2 + ... + a1nxn ≤ b1
a21x1 + a22x2 + ... + a2nxn ≤ b2
am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i
In our case,
the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x
subject to:
x1 + x2 - x3 ≤ 5
6x1 + 5x2 - x4 ≤ 10
xi ≥ 0 for all i
We can rewrite the constraints as follows:
x1 + x2 - x3 + x5 = 5 (adding slack variable x5)
6x1 + 5x2 - x4 + x6 = 10 (adding slack variable x6)
Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:
x1 = x7
x2 = x8
x3 = x9
x4 = x10
The objective function becomes:
z = 36x7 + 30x8 - 3x9 - 4x10
Now we have the problem in standard form as:
maximize: z = 36x7 + 30x8 - 3x9 - 4x10
subject to:
x7 + x8 - x9 + x5 = 5
6x7 + 5x8 - x10 + x6 = 10
xi ≥ 0 for all i
To apply the simplex algorithm, we initialize the simplex tableau as follows:
| Cj | x5 | x6 | x7 | x8 | x9 | x10 | RHS |
---------------------------------------------------------------------------
z | 0 | 0 | 0 | 36 | 30 | -3 | -4 | 0 |
---------------------------------------------------------------------------
x5| 0 | 1 | 0 | 1 | 1 | -1 | 0 | 5 |
---------------------------------------------------------------------------
x6| 0 | 0 | 1 | 6 | 5 | 0 | -1 | 10 |
---------------------------------------------------------------------------
Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:
Iteration 1:
1. Choose the most negative coefficient in the 'z' row, which is -4.
2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).
3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.
Ratios: 5/0 = undefined, 10/(-4) = -2.5
4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.
5. Perform row operations to
make all other elements in the pivot column zero.
After performing these steps, we get the updated simplex tableau:
| Cj | x5 | x6 | x7 | x8 | x9 | x10 | RHS |
---------------------------------------------------------------------------
z | 0 | 0 | 0.4 | 36 | 30 | -3 | 0 | 12 |
---------------------------------------------------------------------------
x5| 0 | 1 | -0.2 | 1 | 1 | -1 | 0 | 5 |
---------------------------------------------------------------------------
x10| 0 | 0 | 0.2 | 1.2 | 1 | 0 | 1 | 2.5 |
---------------------------------------------------------------------------
Iteration 2:
1. Choose the most negative coefficient in the 'z' row, which is -3.
2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).
3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.
Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5
4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.
5. Perform row operations to make all other elements in the pivot column zero.
After performing these steps, we get the updated simplex tableau:
| Cj | x5 | x6 | x7 | x8 | x9 | x10 | RHS |
---------------------------------------------------------------------------
z | 0 | 0 | 0.8 | 34 | 30 | 0 | 4 | 0 |
---------------------------------------------------------------------------
x5| 0 | 1 | -0.4 | 0.6 | 1 | 5 | -2 | 10 |
---------------------------------------------------------------------------
x9| 0 | 0 | 1 | 6 | 5 | 0 | -5 | 12.5 |
---------------------------------------------------------------------------
Iteration 3:
No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:
z = 0
x1 = x7 = 0
x2 = x8 = 10
x3 = x9 = 0
x4 = x10 = 0
x5 = 10
x6 = 0
Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.
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As the sample size increases, the margin of error _____.
As the sample size increases, the margin of error decreases.
What is margin of error?A margin of error is known to be a statistical measurement that states the difference between apparent and projected results in a random sample survey.
From the formula:
MOE = z × √σ²/n
Where
σ = standard deviation
z = quantile
n = sample size
MOE = margin of error
From the formula, sample size is inversely proportional to the margin of error.
Hence, as the sample size increases, the margin of error decreases.
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5packets of niknaks(n) 3 packets of lays(y) 6 packets of simba(s) if i sell 2 packets of niknacks and one packets of simbachips, write down a new algebraic expression, with your calculations
After selling 2 packets of Niknaks and 1 packet of Simba chips, the new algebraic expression representing the remaining packets of each brand would be n - 2, y, and s - 1.
To further explain, let's break down the calculation. Initially, we have 5 packets of Niknaks (n), 3 packets of Lays (y), and 6 packets of Simba chips (s). After selling 2 packets of Niknaks, we subtract 2 from the original quantity, resulting in n - 2. The number of Lays packets remains the same, so it is simply y. Similarly, after selling 1 packet of Simba chips, we subtract 1 from the original quantity, resulting in s - 1.
In algebraic terms, we can represent the new quantities as follows:
Niknaks: n - 2
Lays: y
Simba chips: s - 1
These expressions show the updated number of packets for each brand after the specified sales. The new values can be further used for calculations or tracking the remaining inventory.
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find the area of the figure
Answer:
A≈19.31
Step-by-step explanation:
Formula to find area of Octagon: A=2(1+√2)a^2
Divide 16/8 since there are 8 sides.
Answer:
19.31
Step-by-step explanation:
Formula:
\(A=2(1+\sqrt{x} 2)a^2\)
Hope this helps :)
Pls Brainliest...
jimmy has 27 apples and there are 9 houses. he feeds the same number of apples to each horses. how many apples dose jimmy feed to each horse?
-------------------------------------------------------------------------------------------------------------
Answer:
The answer is, Jimmy, fed the horses 3 apples each.
27 apples divided into the 9 horses
27 ÷ 9 = 3
If you had 27 seven apples and you individually gave one apple to each of the 9 horses each horse would end up having 3.
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ccording to the theory of comparative advantage, if the United States and Mexico increase their trade with each other, the two countries will experience ________ standards of living.
According to the theory of comparative advantage, if the United States and Mexico increase their trade with each other, the two countries will experience an increase in their standards of living.
The theory of comparative advantage suggests that countries can benefit from specializing in the production of goods and services in which they have a lower opportunity cost compared to other countries. By focusing on producing what they are relatively more efficient at, countries can achieve higher levels of productivity and output.
When countries engage in international trade based on comparative advantage, they can access a wider range of goods and services at lower costs. This leads to increased efficiency, greater market competition, and access to a larger consumer base. As a result, both the United States and Mexico can enjoy the advantages of trade, such as lower prices, increased variety, and access to new markets.
By leveraging their respective comparative advantages and engaging in trade, the United States and Mexico can enhance their productivity, economic growth, and overall standards of living. The specialization and exchange of goods and services allow countries to allocate resources more efficiently, leading to higher living standards for their populations.
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A ticket agency charges $6 service fee on any order. Each order for a concert costs $25. How would you begin solving the problem??
Answer:
Start by knowing you have to add them
Step-by-step explanation:
add 25+6
Then you'll get 31
which you have to multiply by how many ever tickets
great to least -3/5, -2/3, 0.7, 0
Answer:
Step-by-step explanation:
Least to greatest :
-3/5,-2/3,0,0.7
Select three names for the angle.
<B, <ABC, <CBA
based off the image
Please help me! Please!
Answer:
here is your aneswer
the answer. will be 40
Solve the proportion
Answer:
The proportion is 2/7 = 12/42
x = 12
The answer is 12
Find the interval of time when the concentration of the drug is greater than or equal to 0.16 mg/cc.
The concentration of the drug is greater than or equal to 0.16 mg/cc for the time interval of X to Y.
To determine the interval of time when the concentration of the drug is greater than or equal to 0.16 mg/cc, we need to analyze the drug's behavior and how it changes over time. This can be done by studying the drug's pharmacokinetics, which involves understanding its absorption, distribution, metabolism, and excretion within the body.
Firstly, we need to know the drug's pharmacokinetic profile, such as its absorption rate, elimination half-life, and clearance rate. These parameters help us understand how the drug is processed and eliminated from the body. By analyzing these factors, we can determine the concentration of the drug at different time points.
Next, we can plot a concentration-time curve based on the drug's pharmacokinetic parameters. This curve represents the drug's concentration over time. By examining the curve, we can identify the time points at which the drug concentration reaches or exceeds 0.16 mg/cc.
The interval of time when the drug concentration is greater than or equal to 0.16 mg/cc corresponds to the portion of the concentration-time curve that lies above or intersects the 0.16 mg/cc threshold. By analyzing the curve, we can identify the specific time interval (from X to Y) during which the drug concentration remains at or above the desired threshold.
In summary, the concentration of the drug is greater than or equal to 0.16 mg/cc for the time interval of X to Y, based on the analysis of the drug's pharmacokinetic profile and the concentration-time curve.
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Can someone help? Please
Answer:
x=1
Step-by-step explanation:
3(x)+1 substitute 1 in for x
3(1)+1=4
10(x)-6 substitute 1 in for x
10(1)-6=4
4=4
(sorry if that doesn't make any sense)
What is x2 = 10. Solve the equation
Answer:
x=5
Step-by-step explanation:
x2=10
x=10/2
x=5
A researcher tested the hypothesis that weight gain during pregnancy was associated with infant's birth weight. Which statistical test would be appropriate? Group of answer choices A. Chi-square test B. Pearson's C. A paired t-test
To test the hypothesis that weight gain during pregnancy is associated with infant's birth weight, Pearson's correlation coefficient (option B) would be an appropriate statistical test.
In this scenario, the goal is to examine the association between two continuous variables: weight gain during pregnancy (independent variable) and infant's birth weight (dependent variable). Pearson's correlation coefficient is used to measure the strength and direction of the linear relationship between two continuous variables.
Option A, the Chi-square test, is not appropriate as it is used to analyze categorical variables, such as comparing frequencies or proportions between different groups.
Option C, a paired t-test, is used when comparing means of a continuous variable within the same group before and after an intervention or treatment, which does not align with the current scenario.
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One pack of sliced cheese weighs 350 grams. How many packages would you need tobuy to have at least 1 kilogram of cheese?
Answer:
3
Step-by-step explanation:
Divide 1kg or 1000g by 350 and round up to the next integer. That's it.
Answer:
3 packages
Step-by-step explanation:
350+350=700
700+350=1100
1000 grams=1 kilograms
Find the surface area of the prism. PLZ HELP
Answer:
180 cm
Step-by-step explanation:
Surface Area = 2(length * width + length * height + width * height)
S.A. = 2(8 * 3 + 8 * 6 + 3 * 6)
S.A. = 180 cm.
How many 1/2 store in seven
How many 3/8 are in six
How many 5/16 are in 1 7/8
Answer:
1) 3.5
2) 2.25
3) 75/128
Step-by-step explanation:
1) How many 1/2 stores in seven?
We take
1/2 times 7 = 7/2 = 3.5
So, the answer is 3.5
2) How many 3/8 are in six?
We take
3/8 times 6 = 18/8 = 2.25
So, the answer is 2.25
3) How many 5/16 are in 1 7/8
1 7/8 = 15/8
We take
5/16 times 15/8 = 75/128
So, the answer is 75/128
this box plot shows information about the marks scored in a test
Answer:
Median : 58
LR : 72-32=40
Range = 86-10=76
what the slope and the y intercept for-12x+4y=-8
Answer:
slope is -3
y-intercept is -2
Step-by-step explanation:
put into slope-intercept form which is y = mx + b where 'm' is slope and 'b' is the y-intercept
12x + 4y = -8
4y = -12x - 8
y = -12/4x - 8/4
y = -3x - 2 (simplified)
Which value in the set {5, 6, 7, 8, 9} is a solution of the equation 20 - f = 13 ? Show your work.
Please i need help ASAP
How to solve this quadratic expression
\(2x(x - 3) = 3 - 4x\)
Let's simplify the given expression at first!
\( \: \:\:\:\: \longrightarrow\sf {2x(x - 3) = 3 - 4x}\\\)
\( \: \:\:\:\: \longrightarrow\sf {2x^2 -6x = 3 -4x}\\\)
\( \: \:\:\:\: \longrightarrow\sf {2x^2 -6x+4x-3=0}\\\)
And here it is -
\(\: \:\:\:\: \small \underline{ \boxed{ \sf{ \pmb{ 2x^2 -2x -3 =0}}}}\\\)
Where-
a =2b=-2c =-3To find the Discriminant of this equation is given by -
\(\longrightarrow\underline\purple{\boxed{\pmb{D = b^2-4ac}}}\)
\( \: \:\:\:\: \longrightarrow\sf { D = (-2)^2 - 4\times 2\times -3}\\\)
\( \: \:\:\:\: \longrightarrow\sf { D = 4 + 24}\\\)
\( \: \:\:\:\: \longrightarrow\sf { D = 28}\\\)
Since, D>0 hence, this equation has two distinct real roots.
Formula to be applied now is as follows-
\(\: \:\:\:\: \longrightarrow\underline\purple{\boxed{\pmb{ x = \dfrac{-b±√D}{2a}}}}\)
\( \: \:\:\:\: \longrightarrow\sf { x = \dfrac{-(-2)± \sqrt{28}}{2 \times 2}}\\\)
\( \: \:\:\:\: \longrightarrow\sf {x = \dfrac{2± \sqrt{4 \times 7}}{2 \times 2}}\\\)
\( \: \:\:\:\: \longrightarrow\sf {x = \dfrac{2± 2\times \sqrt{7 }}{2 \times 2}}\\\)
\( \: \:\:\:\: \longrightarrow\sf {x = \dfrac{2 (1± \sqrt{7}) }{2 \times 2}}\\\)
\( \: \:\:\:\: \longrightarrow\sf {x = \dfrac{\cancel{2 }(1± \sqrt{7}) }{\cancel{2 }\times 2}}\\\)
\( \: \:\:\:\: \longrightarrow \boxed{ \tt{ \pmb{ \red{x = \dfrac{ 1± \sqrt{7} }{ 2}}}}}\\\)
\( \\ \therefore \underline{ \cal{ \pmb{The \:value \: of \:x \: is \: \frak{\purple{ \dfrac{ 1± \sqrt{7} }{ 2} \: }. }}}}\\\)
A plane is flying to a city 776 km directly north of its initial location. The plane maintains a speed of 163 km/h relative to the air during its flight. (a) If the plane flies through a constant headwind blowing south at 53.5 km/h, how much time (in h) will it take to reach the city? h (b) If instead the plane flies through a constant tailwind blowing at 53.5 km/h, how much time (in h) will it take to reach the city? h (c) If instead the plane flies through a constant crosswind blowing east at 53.5 km/h, how much time (in h) will it take to reach the city? h
(a) The time (in h) will the plane take to reach the city is 7.09 hours or 7.1 hours.
(b) The plane flies through a constant tailwind blowing at 53.5 km/h, the time (in h) will it take to reach the city is 3.58 hours or 3.6 hours.
(c) The plane flies through a constant crosswind blowing east at 53.5 km/h, the time (in h) will it take to reach the city is infinite.
(a) To find the time it will take for the plane to reach the city with a headwind, we need to first find the plane's ground speed. The ground speed is the speed of the plane relative to the ground. We can find the ground speed by subtracting the speed of the headwind from the plane's airspeed.
Ground speed = Airspeed - Headwind speed
Ground speed = 163 km/h - 53.5 km/h
Ground speed = 109.5 km/h
Now that we know the ground speed, we can use the formula:
Time = Distance ÷ Speed
Time = 776 km ÷ 109.5 km/h
Time = 7.09 hours or 7.1 hours
(b) To find the time it will take for the plane to reach the city with a tailwind, we need to first find the plane's ground speed. The ground speed is the speed of the plane relative to the ground. We can find the ground speed by adding the speed of the tailwind to the plane's airspeed.
Ground speed = Airspeed + Tailwind speed
Ground speed = 163 km/h + 53.5 km/h
Ground speed = 216.5 km/h
Now that we know the ground speed, we can use the formula:
Time = Distance ÷ Speed
Time = 776 km ÷ 216.5 km/h
Time = 3.58 hours or 3.6 hours
(c) To find the time it will take for the plane to reach the city with a crosswind, we need to first find the component of the crosswind that is perpendicular to the plane's direction of travel. This component will not affect how long it takes for the plane to reach its destination.
Component of crosswind = Crosswind speed × sin(angle between direction of travel and crosswind)
Component of crosswind = 53.5 km/h × sin(90°)
Component of crosswind = 53.5 km/h
Now we can find the ground speed of the plane relative to its direction of travel:
Ground speed = Airspeed × cos(angle between direction of travel and crosswind)
Ground speed = 163 km/h × cos(90°)
Ground speed = 0 km/h
Since the ground speed is 0 km/h, the plane will not make any progress towards its destination. Therefore, it will take an infinite amount of time to reach the city with a crosswind.
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27 MP3s is what percent of 238 MP3s
Step-by-step explanation:
1.134 is your answer to your question
If HJ and KM are parallel lines and m HIG = 110 degrees, what is m KLI?
\(\\ \sf\longmapsto m<HIG=m<KLI\)
As we know that if two lines are parallel then Corresponding angles are same.There fore\(\\ \sf\longmapsto m<KLI=110°\)
Joel Bradley purchased a new cooler for his florist shop for $4,500. He wants to finance it with an installment loan from his bank. If he wants to finance only $2,800, what percent of the total cost should his down payment be?
Answer:
62.22% I think.
Step-by-step explanation:
Have a good day.
which terms are used to describe events that have no outcomes in common?
The term used to describe events that have no outcomes in common is called "Mutually Exclusive."
Probability is a measure of how likely an event is to occur. The probability of an event ranges from 0 to 1, where 0 means that an event will not occur, and 1 means that an event will certainly occur.
In Mutually Exclusive events, the probability of both events happening at the same time is 0, which means that the outcome of one event completely eliminates the possibility of the outcome of the other event. The probability of getting heads and tails at the same time is 0, as it is impossible for the coin to show both heads and tails at the same time.
In mathematical terms, Mutually Exclusive events are represented by
=> P(A) + P(B) = P(A or B),
where P(A) represents the probability of event A, P(B) represents the probability of event B, and P(A or B) represents the probability of either event A or B occurring.
To summarize, Mutually Exclusive events are events that have no outcomes in common and have a probability of 0 of occurring simultaneously.
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Rashaad leans a 22-foot ladder against a wall so that it forms an angle of 65° with the ground. How high up the wall does the ladder reach?