In a random sample of 92 automobile engine crankshaft bearings, 24 have a surface finish that is rougher than the specifications allow. Construct a 99% two-sided confidence interval for p, the proportion of bearings with surface finish rougher than allowed specification. What is the upper bound of this 2-sided confidence interval

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

From the question, we have the following parameters that can be used in our computation:

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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9514 1404 393

Answer:

  (0, -1)

Step-by-step explanation:

Compare the equations ...

  y = -1/4x^2

  y = 1/(4p)(x -h)^2 +k

You can see that (h, k) = (0, 0), and that p = -1.

The value of p is the distance from the vertex to the focus. Here, the parabola opens downward, and the focus is 1 unit below the vertex.

The focus is (0, -1).

_____

Additional comment

Every point on the parabola is the same distance from the focus as it is from the directrix. A couple of points that are easy to check are the vertex, and the points on the same horizontal line as the focus. This check can tell you if we have properly found the focus.

The mean commute distance (in miles) for the students in the sample is given as follows:

7.9 miles.

The mean of a data-set is calculated as the sum of all observations in the data-set divided by the number of observations.

The histogram gives the number of observations in each range.

Hence, to obtain the sum of the observations, we consider the midpoint of each range, as follows:

S = 20 x 2 + 20 x 6 + 14 x 10 + 7 x 14 + 4 x 18 + 3 x 22

S = 536.

The number of people is given as follows:

20 + 20 + 14 + 7 + 4 + 3 = 68.

Hence the mean is of:

536/68 = 7.9 miles.

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Answer:

1. A. $21

2. D. $1.22

Step-by-step explanation:

Answer:

A $21

C $0.82

Step-by-step explanation:

For the first question you have to take 28% from 75 which leaves you with 21.

For the second question you would divide 3 by 11 to get about 27%, from there you have to multiply 3 by that 27%.

Answer:

DC = 53

Step-by-step explanation:

the midsegment EF is half the sum of the bases , that is

\(\frac{AB+DC}{2}\) = EF

\(\frac{41+DC}{2}\) = 47 ( multiply both sides by 2 to clear the fraction )

41 + DC = 94 ( subtract 41 from both sides )

DC = 53

Answer:

The dimensions of rectangle are:

Step-by-step explanation:

Let 'l' be the length and 'w' be the width of the rectangle

so

\(l=2w-3\)

Also, the area of the rectangle is 27ft^2.

\(A=27\:ft^2\)

As the area of the rectangle has the formula:

\(\:A\:=\:l\times w\)

so

\(27=\:l\times w\)

so the equation becomes

\(27=\left(2w-3\right)\times \:w\)

\(27=2w^2-3w\)

\(2w^2-3w-27=0\)

\(\left(w+3\right)\left(2w-9\right)=0\)

if   \(ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\)

\(w+3=0\quad \mathrm{or}\quad \:2w-9=0\)

\(w=-3,\:w=\frac{9}{2}\)

as the width can not be negative, so

\(w=\frac{9}{2}=4.5\) ft

As

\(l=2w-3\)

\(l=2\left(4.5\right)-3\)

\(l=9-3\)

\(l=6\)

So the dimensions of rectangle are:

Number of People who knows the Code are 6401

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let, Number of People who kows the Code be x

Number of Peoplee who do not know the Code be y

According to the Question:

x + y = 7338 ----------(i)

2x + 5y = 17487 ----------(ii)

Multiplying Equation (i) by 2

2x + 2y = 14676 ---------(iii)

Substracting Equation (iii) from Equation (ii)

3y = 2811

y = 937

This means x = 6401

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Answer:7 and a half days I belive.

Step-by-step explanation:

Answer:

A, .54

Step-by-step explanation:

The number line ranges from .542 up until .611, giving you three options below. For .6, it can be translated into .600 which is in bounds of the number line. Next for .604, it is still in bounds of the number line. For .54 it would be translated to .540 which is not in bounds, being before .542.

Answer:

$195

Step-by-step explanation:

30% of one paycheck = (30/100) x $325 = $97.5

30% of two paychecks = $97.5 x 2 = $195

Hope this helps. Good luck

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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\(f(x) = 2x is linear.f(x) = 4^x is exponential.\) This is where at each level, each branch extends into 4 branches.

In the first prompt, the number of boxes in each row is increasing by a constant amount, so the function is linear. In the second prompt, the number of branches is increasing by a factor of 4 with each level, so the function is exponential.

A linear function is defined as one where the output increases by a constant amount for each increase in the input. An exponential function is defined as one where the output increases by a constant factor for each increase in the input. The first prompt corresponds to a linear function, while the second prompt corresponds to an exponential function.

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The complete question is-

Is the function f(x) = 4^x, where x is the number of branches at level x in a tree diagram, linear or exponential? Explain your answer.

If a is a set of real numbers that is bounded above and b is a set of real numbers that is bounded below, there is at most one real number that can exist in both sets.

A real number is any number that can be expressed as a decimal or fraction and exists on the number line.

If a set of real numbers, represented by a, is bounded above, it means that there exists a real number, represented by M, such that all the numbers in the set are less than or equal to M. Similarly, if a set of real numbers, represented by b, is bounded below, it means that there exists a real number, represented by m, such that all the numbers in the set are greater than or equal to m.

Now, let's consider a real number, represented by x, that exists in both sets a and b. If x exists in a, it must be less than or equal to M and if x exists in b, it must be greater than or equal to m. Hence, x must satisfy both conditions: M >= x >= m.

From these conditions, it can be deduced that M and m must be equal to x. In other words, there can only be one real number that is simultaneously the greatest value in a and the smallest value in b.

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Answer:

5.25

Step-by-step explanation:

Answer:

The inequality is 25+8.50w≥122

2) 4

Hope this helps :T

The exponential regression equation that best fits the data is y = 2^x.

To determine which exponential regression equation best fits the given data points (2, 4), (3, 8), (4, 16), and (5, 32), let's analyze the options for regression equations:

Option 1: y = 2^x

Option 2: y = 3^x

Option 3: y = 4^x

Option 4: y = 5^x

To find the best fit, we need to compare the predicted y-values from each equation with the actual y-values of the given data points.

The equation that produces the least amount of error or the closest predicted y-values to the actual ones will be the best fit.

Let's calculate the predicted y-values for each option using the given x-values:

Option 1: \(y = 2^2, 2^3, 2^4, 2^5 = 4, 8, 16, 32\)

Option 2:\(y = 3^2, 3^3, 3^4, 3^5 = 9, 27, 81, 243\)

Option 3:\(y = 4^2, 4^3, 4^4, 4^5 = 16, 64, 256, 1024\)

Option 4:\(y = 5^2, 5^3, 5^4, 5^5 = 25, 125, 625, 3125\)

By comparing the predicted y-values with the actual y-values of the data points, we can determine which option provides the closest fit.

Based on the given data points, we can observe that the predicted y-values from Option \(1 (y = 2^x)\) match the actual y-values most closely.

The predicted values for Option 1 are 4, 8, 16, and 32, which exactly match the given data points.

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The complete question may be like: Consider the following data points: (2, 4), (3, 8), (4, 16), (5, 32). We need to determine which exponential regression equation best fits this data. Please provide the options for the regression equations so that I can assist you in finding the best fit.

Answer:

Answer is below

Step-by-step explanation:

The equation for the horizontal line is x = 4. The equation for the vertical line is y = 5.

I graphed the lines on the graph below to show you that they intersect at the point (4,5).

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Answer:

you now if you wont to find the value you can type distance calculator and see the points

Step-by-step explanation:

Answer:

241,920 different ways

Step-by-step explanation:

We have 6 vowels, but A repeats twice and I repeats three times, so the number of ways in which each can either start or end the word:

³P₂ = 3! / (3 - 2)! = 6 / 1 = 6 ways

You can start words with A, E or I, or end the words with A, E, or I.

the remaining 8 consonants can be arranged in 8! ways = 40,320 ways

total number of ways that the letters can be arranged = 6 x 40,320 = 241,920 different ways

The total number of ways the researcher arrange the word CALLITRICHIDAE that start or end with vowels is 6 ways and this can be determined by using the given data.

Given :

Word  --  CALLITRICHIDAE

The following steps can be used in order to determine the total number of ways the researcher arrange the word CALLITRICHIDAE:

Step 1 - First, calculate the total number of vowels in the given word CALLITRICHIDAE.

Total vowels = 6

Step 2 - Now, determine the total number of times a letter repeat in the word CALLITRICHIDAE.

So, the letter A appears 2 times and letter I appears 3 times in the word CALLITRICHIDAE.

Step 3 - Now, evaluate the total number of ways the word CALLITRICHIDAE is arranged:

\(\rm Total \;Number\; of\; Ways=\; ^3P_2 = \dfrac{3!}{(3-2)!}=6\)

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Answer:

x = 32°

Step-by-step explanation:

∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.

m<KML = m<KLM = 58°

m<MKL = 180 - (58 + 58) (Sum of triangle)

m<MKL = 64°

m<JKM = 180 - m<MKL (linear pair theorem)

m<JKM = 180 - 64 (Substitution)

m<JKM = 116°

∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.

Thus:

x = ½(180 - m<JKM)

x = ½(180 - 116) (Substitution)

x = 32°

Answer:

(C) Multiply first equation by -2 and second equation by 3, solution (1, 1)

Step-by-step explanation:

Simultaneous equations are set of equations which possess a common solution. The equations can be solved by eliminating one of the unknowns by multiplying each of the equations in a way that a common coefficient is obtained in the unknown to be eliminated.

Given the simultaneous equations:

3x - 5y = -2

2x + y = 3

First step:

Multiply first equation by -2 and multiply second equation by 3,

-6x + 10y = 4

6x + 3y = 9

Second step:

Add the two equations together,

13y = 13

Divide both sides by 13

y = 1

Third step:

Put y = 1 in the first equation

3x - 5(1) = -2

3x - 5 = -2

3x = 5 - 2

3x = 3

Divide both sides by 3:

x = 1

solution (x,y) = (1,1)

Option C

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Answer:

q=200+13×5=200+65=265

The equation of the line is y = (2/3)x + 13/3 if the equation passes through (1, 5) and (-2, 3).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The linear equation can be written in form of:

y = mx + c

The points are (1, 5) and (-2, 3)

The equation of the line:

y - 3 = (3 - 5)/(-2-1)[x + 2]

y = -2/(-3)[x + 2] + 3

y = (2/3)x + 4/3 + 3

y = (2/3)x + 13/3

Thus, the equation of the line is y = (2/3)x + 13/3 if the equation passes through (1, 5) and (-2, 3).

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the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

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Answer:

I think the answer is ........

Step-by-step explanation:

a