= + Find the duals of the following LPs: 1 max z = 2x1 + x2 s.t. – x1 + x2 = 1 x1 + x2 = 3 x1 – 2x2 < 4 x1, x2 > 0 2 min w = yi - Y2 s.t. 2yı + y2 = 4 Yi + y2 = 1 Yi + 2y2 > 3 Yi, y2 = 0 3 = + X3

Answer:

where in the heck is the x tho

where is x in the equation I am hella confused and I don't understand how to help

Answer:

3.21 x 10^8

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) i)P(X > 18)= 0.65542

ii)P(7 < X < 15)=0.154

b)The value of a using the standard normal table or a calculator is 12.875

c)the value of b using the standard normal table or a calculator is 9.8

a) Let X be the normal random variable with mean μ = 20 and standard deviation σ = 5. We have to find P(X > 18) and P(7 < X < 15).

(i) P(X > 18)

This can be calculated using the standard normal table or a calculator as follows:

z = (18 - μ)/σ

= (18 - 20)/5

= -0.4

P(X > 18) = P(Z > -0.4)

= 1 - P(Z ≤ -0.4).

Using the standard normal table or a calculator, P(Z ≤ -0.4) = 0.34458

Therefore, P(X > 18) = 1 - 0.34458 = 0.65542

(ii) P(7 < X < 15). This can be calculated using the standard normal table or a calculator as follows:

z₁ = (7 - μ)/σ

(7 - 20)/5 = -2.6z₂

(15 - μ)/σ = (15 - 20)/5

= -1

P(7 < X < 15) = P(-2.6 < Z < -1)

= P(Z < -1) - P(Z < -2.6)

Using the standard normal table or a calculator,

P(Z < -1) = 0.15866P(Z < -2.6) = 0.00466

Therefore, P(7 < X < 15) = 0.15866 - 0.00466 = 0.154

b) We have to find the value of a such that

P(20 - a < X < 20 + a) = 0.99.

This can be calculated as follows:

z₁ = (20 - a - μ)/σ

= (20 - a - 20)/5

= -a/5z₂ = (20 + a - μ)/σ

= (20 + a - 20)/5 = a/5

We need to find a such that

P(z₁ < Z < z₂) = 0.99

Using the standard normal table or a calculator,

P(Z < z₂) - P(Z < z₁) = 0.99P(Z < a/5) - P(Z < -a/5) = 0.99

This can be rewritten as

P(Z < a/5) - [1 - P(Z < a/5)] = 0.99P(Z < a/5) - P(Z < -a/5) = 0.995

From the standard normal table or a calculator,

P(Z < 2.575) = 0.995P(Z < -2.575) = 0.005

Therefore,

2.575 = a/5 or -2.575 = -a/5a = 12.875

Therefore, the value of a is 12.875.

c) We have to find the value of b such that P(20 - b < X < 20 + b) = 0.95.

This can be calculated as follows:

z₁ = (20 - b - μ)/σ

= (20 - b - 20)/5

= -b/5z₂

= (20 + b - μ)/σ

= (20 + b - 20)/5 = b/5

We need to find b such that

P(z₁ < Z < z₂) = 0.95

Using the standard normal table or a calculator,

P(Z < z₂) - P(Z < z₁) = 0.95P(Z < b/5) - P(Z < -b/5) = 0.95

This can be rewritten as

P(Z < b/5) - [1 - P(Z < b/5)] = 0.95P(Z < b/5) - P(Z < -b/5) = 0.975

From the standard normal table or a calculator,

P(Z < 1.96) = 0.975P(Z < -1.96) = 0.025

Therefore,1.96 = b/5 or -1.96 = -b/5b = 9.8

Therefore, the value of b is 9.8.

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Answer:

The numbers are 36 and 68.

Step-by-step explanation:

Let the smaller number be x.

"The larger number is four less than two times the smaller

number."

The larger number is

2x - 4

The sum of the numbers is x + 2x - 4, or 3x - 4.

"The sum of the numbers is 104."

3x - 4 = 104

3x = 108

x = 36

The smaller number is 36.

The larger number is 2x - 4, or

2x - 4 = 2(36) - 4 = 72 - 4 = 68

The larger number is 68.

Answer: The numbers are 36 and 68.

Answer:

755.3

Step-by-step explanation:

The cylinder volume formula is pi*r^2*height. The r symbolizes the radius, which is 4. The height is 5. Thus, the volume of the cylinder is 5*16*pi = 80pi.

The rectangle's volume is length*width*height. The length is 6, the width is 14, and the height is 6. Therefore, the volume is 6*6*14, which is 504 in.

Now all you have to do is add the two volumes together. 80pi is around 251.3, so 251.3 + 504 = 755.3.

Answer:

I think the answer is B: 755.3^3.

Step-by-step explanation:

Don't hate me if I'm wrong please!!!

To find the volume of multiple figures, just find the volume of each of them and add them together.

Volume of rectangular prism: V = lwh; 14 * 6 * 6 = 504

Volume of cylinder: V = pi * r^2 * h; 16 * 3.14 * 5 = 251.2

504 + 251.2 = 755.2

Since this is the closest answer, the answer is B: 755.3^3.

Please mark me as brainliest!!!!!

The answer is below

Step-by-step explanation:

Two triangles are said to be congruent if for the two triangles all the three sides are equal and all the three angles are equal to each other.

Given that ΔPQR is congruent to ΔSTU, hence all corresponding sides and corresponding angles are equal to each other.

∠P = ∠S = 59°

∠S + ∠T + ∠U = 180° (sum of angles in a triangle)

59 + 75 + ∠U = 180°

134 + ∠U = 180°

∠U = 46°

∠U = ∠R = 46°

∠Q = ∠T = 75°

Also, for the sides:

ST = PQ = 7 m

SU = PR = 8 m

Answer:

Step-by-step explanation:

the answer is 52

Answer:

angle z = 52

Step-by-step explanation:

solve for t

t+58=2t-12

t+70=2t

70=t

plug in the value of t in t+58

(70)+58

=128

note that angle y and z make supplementary angles, so

180-128

=52

Answer:

am sure its d please mark brainliest

The missing probability is 0.2.

Gabelli Partners is planning a major investment with an uncertain profit estimate. The given distribution provides the probabilities for different levels of profit in millions of dollars. The missing probability for a profit of $2 million needs to be calculated.

To find the missing probability, we need to use the fact that the sum of all probabilities is equal to 1. Thus, we can use the given probabilities to find the missing one.

Gabelli Partners is planning a major investment with an uncertain profit, X, that has a given probability distribution. To find P(X=4), you need to calculate the missing probability in the distribution.

The probabilities in a distribution must sum up to 1. The given probabilities are 0.1, 0.2, 0.4, and 0.1, adding up to 0.8. To find P(X=4), simply subtract the sum of the given probabilities from 1:

P(X=4) = 1 - 0.8 = 0.2

So, the probability of a profit of 4 million dollars is 0.2 or 20%.

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The standard normal curve can be described as a bell-shaped curve or Gaussian distribution. It is used to model a variety of phenomena in many fields, including physics, finance, and engineering. Its mean is zero, and its standard deviation is one.

The standard normal curve is symmetrical about the mean and is characterized by the empirical rule. The majority of the population is distributed within one, two, and three standard deviations from the mean (68%, 95%, and 99.7%, respectively).

Part a)13th percentile can be calculated using the standard normal distribution tables. From the tables, the value of z when the area under the curve to the left of z is 0.13 is -1.04. Therefore, the 13th percentile is -1.04. 80th percentile can be calculated in the same way as 13th percentile.

The value of z when the area under the curve to the left of z is 0.8 is 0.84. Therefore, the 80th percentile is 0.84.Part b)The values of Q and Q3 cannot be obtained from the standard normal curve since the standard normal curve is not used to study a particular set of data.

It is used to model phenomena with a normal distribution with a mean of zero and a standard deviation of one. Instead, the quartiles can be calculated using the empirical rule in conjunction with the normal distribution tables.

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Answer:

y = -4/3 x - 1/3

Step-by-step explanation:

y = -4/3 x + b

5 = -4/3 (-4) + b

15 = 16 + 3b

b = -1/3

y = -4/3 x - 1/3

The equation of line b, parallel to line a and passing through the point (-4,5), is y = (3/4)x + 8.

To find the equation of line b, which is parallel to line a and passes through the point (-4,5), we need to use the fact that parallel lines have the same slope.

Given that line a has the equation y = (3/4)x - 3, we can determine its slope. The slope of line a is the coefficient of x, which is 3/4.

Since line b is parallel to line a, it will also have a slope of 3/4.

Using the slope-intercept form of a linear equation (y = mx + b), we can substitute the slope and the coordinates (-4,5) into the equation to solve for the y-intercept, b.

5 = (3/4)(-4) + b

Simplifying, we have:

5 = -3 + b

Adding 3 to both sides, we find:

b = 8

Therefore, the equation of line b, parallel to line a and passing through the point (-4,5), is y = (3/4)x + 8.

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Answer:

2,598,960

Step-by-step explanation:

in a standard 52 card deck, there are 4 aces, four 2's, four 3's, four 4's, four 5's, four 6's, four 7's four 8's, four 9's, four 10's, 4 jacks, 4 queens, and 4 kings.

there are 2,598,960 hands that can be drawn from these 52 cards. I would rather not list all 2 million but just know that the number is 2,598,960

Answer:

B) 5

Step-by-step explanation:

$6000 × 0.03 = $180 - this means that every year, $180 is added to the invested amount.

We can now do $900 ÷ $180 to find out the number of years the money was invested for: $900 ÷ $180 = 5

The money was invested for 5 years

Hope this helps!

Answer:

1st and 2nd Equation; what = 2.25, 3rd Equation; what = 4.44444

Step-by-step explanation:

40/4 / 9/4 = 40/9 = 4.44444

The result of the equation using square roots is x ≈ -18.72 or x ≈ -1.28 (rounded to two decimal places).

To solve the equation using SQUARE ROOTS, we need to use the equation square roots formula, which states that:

If a^2 = b, then a = ±√b.

So, applying this formula to our equation, we get:
x^2 + 20x + 100 = 64
=> x^2 + 20x + 36 = 0 (subtracting 64 from both sides)

Now, we can use the square roots formula to find the values of x:
x = (-20 ± √(20^2 - 4*1*36)) / (2*1)
x = (-20 ± √304) / 2
x ≈ -10 ± 8.72

Therefore, the solutions to the equation are:
x ≈ -18.72 or x ≈ -1.28

Rounding to the nearest hundredth, we get:
x ≈ -18.72 or x ≈ -1.28 (rounded to two decimal places)

Complete Question

Solve the equation using SQUARE ROOTS. Round to the nearest hundredth if needed:

x^2 + 20x + 100 = 64

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- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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Answer:

Step-by-step explanation:

You want the measures of various inscribed angles in the given diagram.

The measure of an inscribed angle is half the measure of the arc it intercepts.

Angle a° intercepts an arc of 52°, so ...

  a° = 52°/2 = 26°

Angle c° intercepts an arc of 80°, so ...

  c° = 80°/2 = 40°

The tangent makes a right angle with the diameter, which means that angles a° and b° total 90°.

  b° = 90° -a° = 90° -26° = 64°

Answer:

16x+6

Step-by-step explanation:

5x+2+3x+1+5x+2+3x+1 =

16x+6

Answer:

16x + 2

Step-by-step explanation:

\(\boxed{\begin{minipage}{4 cm}\underline{Perimeter of a rectangle}\\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\\phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}\)

Given expressions:

To write an expression for the perimeter of the rectangle, substitute the given expressions for the width and length into the perimeter formula:

\(\begin{aligned}\implies \textsf{Perimeter} &=2\left(5x+2+3x-1 \right)\\ &= 2(5x+3x+2-1)\\&=2(8x+1)\\&=16x+2\end{aligned}\)

For the given equation, in step 3 it is dividing both sides by 4 to eliminate the variable. Hence, option B is correct.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

The step 3 according to the question is,

4x = 32

Dividing both sides by 4,

x = 32/4

x = 8

Therefore, the final result will be x = 8.

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The system of linear equation for the graph are: y = -1/3x + 3 and y = 3x - 7.

A system of linear equation is a combination of two linear equation. Each linear equation is made of algebraic equation that consists of variables, constant, and arithmetic operation.

To determine the linear equation on the graph, we need to find two points on the each line on the graph and determine the slope-intercept form.

For the first decreasing line to the left, we have the two points

(0, 3)(9,0)

Using the slope intercept form y = mx + b. The linear equation for the first line is: y = -1/3x + 3

For the second increasing line to the right, the two points are:

(3,2)(0,-7)

The linear equation for the second line is:

y = 3x - 7

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Hi!

Your answers should be : 1. Obtuse | 2. Acute | 3. Obtuse

Here's a little tip for you to remember if you cant get an answer off of brainly: if its 90ft (or degrees or what ever you want to call it) then its right, if its over 90ft its Obtuse, and if its under 90ft its Acute.

Hope this helps!

Let me know if you need anymore help!

Yours truly,

Answer:

x^2(5x-2)

Step-by-step explanation:

The gcf of the whole expression is x^2. You then factor out it from the expression to get x^2(5x-2)

Answer:

D

Step-by-step explanation:

In 1 minute, 0.5 mL of medication is being released into a patient's arm. That means, two minutes is 1 mL of medication. So 10 minutes would be 5 mL. The number of mL is half the number of minutes.

Hope this helped!

Sorry if this is late!

Answer:  $12.

Step-by-step explanation:

4 overtime hours at the double-time rate =

4*2=8 regular hours.

Hence,

Mrs. Fisher worked her 40+8 regular hours  last week.

Mrs. Fisher worked her 48 regular hours  last week.

Her gross pay was $576.

So,

$576:48=

$12.

The correct interpretations are:

a. There is a 95% probability that the average percentage tip for all the customers of this restaurant during the time of the revised lighting method is used will be between 13.7% and 16.1%.

d. I have 95% confidence that the average percentage tip for all the customers of this restaurant during the time the revised lighting method is used will be between 13.7% and 16.1%.

Explanation:

Option a is a fully correct statement because it correctly interprets the confidence interval as a probability statement. It means that if we were to repeat the experiment multiple times, the true population mean would fall within the interval 95% of the time.

Option d is also a fully correct statement because it correctly interprets the confidence interval as a statement about the population mean. It means that we are 95% confident that the true population mean falls within the interval.

Option b is incorrect because it implies a personal level of confidence, which is not what the confidence interval represents.

Option c is incorrect because it only refers to the sample mean, not the population mean.

Option e is incorrect because it refers to a different sample, which may or may not have the same mean as the original sample.

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In the Subgame Perfect Equilibrium of a Stackelberg model, firm 1 chooses a number, and firm 2 chooses a function. Therefore, option (d) is the correct answer.

The Subgame Perfect Equilibrium (SPE) is a solution concept in game theory that analyzes strategic decision-making in sequential games. In a Stackelberg model, firm 1 acts as the leader and sets its output level first, followed by firm 2 as the follower, who observes firm 1's output before making its decision.

In the Subgame Perfect Equilibrium of this model, firm 1 chooses a number (output level) while firm 2 chooses a function (strategy). This implies that firm 1's decision is made independently as a quantity, and firm 2, observing firm 1's choice, formulates its strategy based on that information.

Therefore, option (d) is the correct answer: Firm 1 chooses a number, and firm 2 chooses a function in the Subgame Perfect Equilibrium of a Stackelberg model.

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