In each of the following cases,compute 95 percent,98 percent,and99 percent confidence intervals for the population proportion p.p=.4 and n= 129

The correct standard form for the given LP model is option C: Max(Z) = 3x1 + 2x2, subject to the constraints 11x1 + 3x2 - 5 <= 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70, with x1, x2 >= 0. This option aligns with the original objective function and constraints of the LP model.

To convert the LP model into standard form, we need to rewrite the constraints with the variables on the left-hand side and constants on the right-hand side, with inequality signs (<= or >=) consistent throughout. Additionally, we introduce slack or surplus variables to transform any non-standard constraints.

In option C, the constraints are correctly transformed as 11x1 + 3x2 - 5 = 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70. These constraints are consistent with the original model. The objective function remains the same, Max(Z) = 3x1 + 2x2.

Option A has incorrect signs in the transformed constraints, and option B introduces surplus variables (+5) instead of slack variables (-5), resulting in an incorrect standard form. Option D includes a non-standard term with a dollar sign, which is inconsistent with linear programming conventions.

Therefore, option C is the correct standard form, adhering to the original LP model's objective function and constraints.

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Answer:  z = 81

Step-by-step explanation:

TW is the midsegment of ΔSUV   ⇒   UV = 2TW

Given: UV = z - 51, TW = z - 61

z - 51 = 2(z - 61)

z - 51 = 2z - 132

   -51 =  z  - 132

    81 = z

Answer:

ravi will have 100,000

Rani will have 150,000

Step-by-step explanation:

Based on the information provided, to prepare a total of 220 pancakes Kai needs 30 cups of pancake mix.

To prepare 22 pancakes Kai needs a total of 3 cups of pancake mix, which means the ratio is 22 to 3 or 22:3.

To find the total of pancake mix Kai need for this new number of pancakes different methods can be applied:

First method: Rule of three

3 cups of pancake mix = 22 pancakes

            x                        = 220 pancakes

x (number of cups) = 220 pancakes / 22 panckes x 3

x = 10 x 3

x= 30

This means Kai needs 30 cups

Second method: Find the number of cups for 1 pancake

3 cups  / 22 pancakes=  0.13636

220 x 0.13 = 29.9 which can be rounded as 30 cups

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Answer:

6.3

Step-by-step explanation:

y/9=7/10

cross multiply

10y=63

y =6.3

Answer:

No

Step-by-step explanation:

if x=4 and y=11...

this would mean

11 is less than or equal to 2(4)

11 > 4+3

The mean is represented by a line that divides the box plot into two equal parts. It is placed at the center of the box plot, between the lower and higher quartiles.

The mean is represented by a line in the box plot, which divides the box plot into two equal parts. This line is placed in the center of the box plot, between the lower and higher quartiles. The mean is the average of all the values within the data set, and is represented by the line in the box plot. It is the midway point between the highest and lowest values of the data set. The mean can help to give a better understanding of the data set by providing an overall average of the data. It can be used to compare the data set to other sets of data, as well as to identify outliers within the data set. The mean can be used to identify trends within the data set, and to make predictions about future data sets or events.

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Answer: its gonna be 90k (90,000)

Step-by-step explanation: 4 hrs = 15k meaning if u add 4 + 4 its basically gonna be 15k + 15k. so in 24 hr its gonna be 90k because 4 + 4 + 4 +4 + 4 = 24 so if 4 is 15k then it would also be 15k + 15k + 15k +15k +15k and thats 90k.

i took the test. and give brainliest pls

Answer:

1

Step-by-step explanation:

|x| means the absolute value, which is 4 and -4

Answer:

A

Step-by-step explanation:

So we have the equation:

\(|x|=4\)

Solve for x. Use the definition of absolute value:

\(|x|=4\)

This means that:

\(x=4\text{ or } x=-4\)

And... we're done :)

The answer is A.

Joanne's plan pays $2400 for her July losses, as she is responsible for 20% of the covered expenses during that month.

Joanne's health insurance plan with a $1000 deductible, 80% coinsurance, and a $5000 out-of-pocket cap requires her to pay for her medical expenses until she reaches the deductible.

After reaching the deductible, she is responsible for 20% of the covered expenses, up to the out-of-pocket cap. The plan pays the remaining percentage of covered expenses.

To calculate how much the plan pays for Joanne's July losses, we need to consider her deductible, coinsurance, and out-of-pocket cap.

In March, Joanne incurs $1000 in covered medical expenses.

Since this amount is equal to her deductible, she is responsible for paying the full amount out of pocket.

In July, Joanne incurs $3000 in covered expenses. Since she has already met her deductible, the coinsurance comes into play.

According to the plan's coinsurance rate of 80%,

Joanne is responsible for 20% of the covered expenses.

Therefore, Joanne is responsible for paying 20% of $3000, which is $600.

The plan will pay the remaining 80% of the covered expenses, which is $2400.

In December, Joanne incurs $30,000 in covered expenses. Since she has already met her deductible and reached her out-of-pocket cap, the plan pays 100% of the covered expenses.

Therefore, the plan will pay the full $30,000 for her December losses.

To summarize, Joanne's plan pays $2400 for her July losses, as she is responsible for 20% of the covered expenses during that month.

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In order to find the value of N in the equation when T = 60, we just need to apply the value of T and then calculate the value of N.

So we have that:

So the number of chirps per minute is 80

Answer:

x = 10

y = \(10\sqrt{2}\)

Step-by-step explanation:

Let me know if you want an explanation.

Let the number be represented by "n"

The two angles are not Congruent by ASA so it is false.

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles, which means they can be acute, obtuse, exterior, or interior angles.

The two triangles are congruent but not by the ASA rule because only one angle is equal in both triangles and there are two corresponding equal sides in the both triangle so the correct rule is SAS.

In conclusion it is false that the two triangles are congruent by ASA.

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The surface given by the equation \(4x^2 - 16y^2 + z^2 = 16\) is a hyperboloid of two sheets. It consists of two distinct surfaces that intersect along the z-axis and open upwards and downwards.

To identify the surface defined by the equation \(4x^2 - 16y^2 + z^2 = 16,\) we can analyze the equation and determine its geometric properties.

First, let's rewrite the equation in a standard form:

\(4x^2 - 16y^2 + z^2 = 16\)

By rearranging terms, we have:

\((x^2/4) - (y^2/1) + (z^2/16) = 1\)

Comparing this equation to the standard form of a hyperboloid, we can see that the x and z terms have positive coefficients, while the y term has a negative coefficient. This indicates that the surface is a hyperboloid of two sheets.

The trace of the surface can be obtained by setting one variable constant and examining the resulting equation. Let's consider the traces in the xz-plane (setting y = 0) and the xy-plane (setting z = 0).

When y = 0, the equation becomes:

\(4x^2 + z^2 = 16\)

This represents an ellipse in the xz-plane centered at the origin, with the major axis along the x-axis and the minor axis along the z-axis.

When z = 0, the equation becomes:

\(4x^2 - 16y^2 = 16\)

This represents a hyperbola in the xy-plane centered at the origin, with the branches opening along the x-axis and the y-axis.

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identify the surface from the following equation \(4x^2-16y^2 z^2=16\)

Answer:

99y\(d^{2}\)

Step-by-step explanation:

Answer:

90yd²

Step-by-step explanation:

Area pf trapezium = 1/2 * (sum of parallel sides) * perdendicular distance b/w them.

Here,

Sum of II sides = 11 + 9yd = 20yd

Perpendicular distance = 18 yd

So, area of trapezium is

1/2 * 20yd * 18yd = 180yd²

As the triangle inscribed is right - angled triangle, area of ∆ = 1/2 * 10yd * 18yd = 90yd²

Shaded area = total area - area of ∆

= 180yd² - 90yd²

= 90yd²

The required volume of Famotidine is 4 mL.

To calculate the required volume in milliliters (mL) for the provided dosage of Famotidine, we can use the following formula:

Volume (mL) = (Dosage ordered / Available dosage) * Volume per dose

We have:

Dosage ordered = 40 mg

Available dosage = 20 mg/2 mL (This means there are 20 mg of Famotidine in 2 mL)

Volume per dose = 2 mL

Let's substitute these values into the formula:

Volume (mL) = (40 mg / 20 mg) * 2 mL

Simplifying the expression:

Volume (mL) = 2 * 2 mL

Volume (mL) = 4 mL

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They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning

Candice's proof is a direct proof because it establishes the truth of a statement by providing a logical sequence of steps that directly lead to the conclusion. In a direct proof, each step is based on a previously established fact or an accepted axiom. The proof proceeds in a straightforward manner, without relying on any other alternative scenarios or indirect reasoning.

Candice's proof likely involves stating the given information or assumptions, followed by a series of logical deductions and equations. Each step is clearly explained and justified based on known facts or established mathematical principles. The proof does not rely on contradiction, contrapositive, or other indirect methods of reasoning.

On the other hand, Joe's proof is also a direct proof for similar reasons. It follows a logical sequence of steps based on known facts or established principles to arrive at the desired conclusion. Joe's proof may involve identifying the given information, applying relevant theorems or formulas, and providing clear explanations for each step.

Direct proofs are commonly used in mathematics to prove statements or theorems. They provide a clear and concise way to demonstrate the validity of a claim, relying on known facts and logical reasoning. By presenting a direct chain of deductions, these proofs build a solid argument that leads to the desired result, without the need for complex or indirect reasoning.

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The general form of the solution of a linear homogeneous recurrence relation with characteristic polynomial having precisely the roots 1, -1, -2, -3, and 4 can be written as:

c1(1^n) + c2((-1)^n) + c3((-2)^n) + c4((-3)^n) + c5(4^n)

where c1, c2, c3, c4, and c5 are constants determined by the initial conditions.

To explain why in detail, we need to first understand what a linear homogeneous recurrence relation and its characteristic polynomial are.

A linear homogeneous recurrence relation is a mathematical equation that describes a sequence of numbers where each term depends only on the previous terms in the sequence. The general form of a linear homogeneous recurrence relation is:

an = c1an-1 + c2an-2 + ... + ckank

where a0, a1, a2, ..., ak are the initial conditions, and c1, c2, ..., ck are constants.

The characteristic polynomial of a linear homogeneous recurrence relation is defined as the polynomial obtained by setting an=0 and solving for the values of k that make the equation true. For example, the characteristic polynomial of the equation an = 2an-1 - an-2 is k^2 - 2k + 1 = 0.

The roots of the characteristic polynomial determine the form of the solution to the recurrence relation. In general, if the characteristic polynomial has distinct roots, the solution can be written as a linear combination of terms of the form ar^n, where a and r are constants determined by the initial conditions and the roots of the polynomial.

In the specific case where the characteristic polynomial has precisely the roots 1, -1, -2, -3, and 4, the general solution takes the form given above, with each term in the form c_i(r_i)^n, where r_i is one of the roots and c_i is a constant determined by the initial conditions.

This can be derived from the fact that each term in the solution must satisfy the recurrence relation, and the sum of these terms will also satisfy the recurrence relation. By setting the initial conditions, we can solve for the constants c_i and obtain the unique solution to the recurrence relation.

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Given equations are (5.1) z 4 +16=0 and z 3 −27=0.(5.1) z 4 +16=0z⁴ = -16z = 2 * √2 * i, 2 * (-√2 * i), -2 * √2 * i, -2 * (-√2 * i)Therefore, the roots of the equation are z = 2^(3/4) * i, 2^(1/4) * i, -2^(3/4) * i, -2^(1/4) * i.(5.2) z 8 −16i=0z⁸ = 16i z = 2^(1/8) * i, 2^(3/8) * i, 2^(5/8) * i, 2^(7/8) * i, -2^(1/8) * i, -2^(3/8) * i, -2^(5/8) * i, -2^(7/8) * i

Therefore, the roots of the equation are:

z = 2^(1/8) * i, 2^(3/8) * i, 2^(5/8) * i, 2^(7/8) * i, -2^(1/8) * i, -2^(3/8) * i, -2^(5/8) * i, -2^(7/8) * i. z 8 +16i=0z⁸ = -16i z = 2^(1/8) * i, 2^(3/8) * i, 2^(5/8) * i, 2^(7/8) * i, -2^(1/8) * i, -2^(3/8) * i, -2^(5/8) * i, -2^(7/8) * i

Therefore, the roots of the equation are:

z = 2^(1/8) * i, 2^(3/8) * i, 2^(5/8) * i, 2^(7/8) * i, -2^(1/8) * i, -2^(3/8) * i, -2^(5/8) * i, -2^(7/8) * i.

First of all, we need to know that a polynomial equation of degree n has n roots and they may be real or imaginary. Roots are also known as zeros or solutions of the equation.If the degree of the polynomial is n, then it can be written as an nth degree product of the linear factors, z-a, where a is the zero of the polynomial equation, and z is any complex number. Therefore, the nth degree polynomial can be factored into the product of n such linear factors, which are known as the roots or zeros of the polynomial.In the given equations, we need to find the roots of each equation. In the first equation (5.1), we have z⁴ = -16 and z³ = 27. Therefore, the roots of the equation:

z⁴ + 16 = 0 are:

z = 2^(3/4) * i, 2^(1/4) * i, -2^(3/4) * i, -2^(1/4) * i.

The roots of the equation z³ - 27 = 0 are:

z = 3, -1.5 + (3^(1/2))/2 * i, -1.5 - (3^(1/2))/2 * i.

In the second equation (5.2), we need to find the roots of the equation z⁸ = 16i and z⁸ = -16i. Therefore, the roots of the equation z⁸ - 16i = 0 are:

z = 2^(1/8) * i, 2^(3/8) * i, 2^(5/8) * i, 2^(7/8) * i, -2^(1/8) * i, -2^(3/8) * i, -2^(5/8) * i, -2^(7/8) * i.

The roots of the equation z⁸ + 16i = 0 are also the same.

Thus, we can find the roots of polynomial equations by factoring them into linear factors. The roots may be real or imaginary, and they can be found by solving the polynomial equation.

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Answer:

Length = 2w + 7

Step-by-step explanation:

Length = 2w + 7

Twice the width = 2w (assuming w=width)

7 more = add 7

There are two stiff transforms to use:

The fact that the real domain is the domain of quadratic functions makes it possible to identify the solution set.

Thus, we must decide which rigid transformations to apply to f(x) in order to produce g(x). Rigid transformations are transformations applied to geometric loci in the field of Euclidean geometry so that Euclidean distances within the latter are conserved (x).

Following thorough consideration, we come to the conclusion that the two stiff transformations listed below must be used:

Vertical translation 7 units to the plus side.

reflection along the y = 5 line.

The collection of x-values necessary for the function to exist is represented by the solution set.  Due to the fact that both functions are quadratic equations, the entire real domain is described by their solutions.

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It takes 50 seconds to travel the full length at the constant rate R.

Remember the relation between speed, distance and time:

distance = speed*time

Here we know that at a rate R (or speed S, these are equivalent) it moves (1/20) of the total distance D in (2 + 1/2) seconds, then we can write:

R*(2 + 1/2) = (1/20)*D

Now we only need to isolate D on the right side, to do so we need to multiply both sides by 20.

20*R*(2 + 1/2) = D

The time is:

20*(2 + 1/2) seconds

40 + 10 seconds

50 seconds

It takes 50 seconds to travel the full length,

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Therefore, there are 72 different orders in which the eight targets can be broken according to the given rules.

To find the number of different orders in which the eight targets can be broken, we can consider the arrangement of the columns and the targets within each column. Since there are three targets in each of the first two columns and two targets in the third column, we can focus on the relative order of breaking the targets within each column. Let's represent the columns as follows:

Column 1: T T T

Column 2: T T T

Column 3: T T

To calculate the number of different orders, we can count the permutations of breaking the targets within each column and then multiply them together.

For Column 1, there are 3 targets, so there are 3! = 3 × 2 × 1 = 6 possible orders.

For Column 2, there are also 3 targets, so there are 3! = 6 possible orders.

For Column 3, there are 2 targets, so there are 2! = 2 possible orders.

To find the total number of different orders, we multiply the number of orders for each column:

Total number of orders = 6 × 6 × 2

= 72

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Step-by-step explanation:

There are  5 p 5 = 120 ways to line up    ( = 5!)

   only ONE will be shortest to tallest

1/120

A vertical straight line is not a function. It is a relation, but not a function as it does not follow the condition to be a function.

A condition for a function is that a unique input gives a unique output, that is a unique output can trace back to only one unique input.

In the case of a vertical straight line, it is of the form x = a, where a is a constant. That is for x = a, there is infinitely many values for y, therefore it does not follow the condition of a function and hence a vertical straight line is not a function.

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Answer:

y = - \(\frac{1}{2}\) x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 4 ← is in slope- intercept form

with slope m = 2

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\) , then

y = - \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (4, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - \(\frac{1}{2}\) x + 1 ← equation of perpendicular line