It is inappropriate to apply the Empirical Rule to a population that is right-skewed a. True b. False

the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

To form a third-degree polynomial function with real coefficients such that the complex number 6 + i and the real number 7 are zeros, we can use the fact that complex zeros come in conjugate pairs.

Given that 6 + i is a zero, its conjugate 6 - i will also be a zero. Thus, the zeros of the polynomial are 6 + i, 6 - i, and 7.

To find the polynomial function, we start by forming the factors corresponding to each zero:

(x - (6 + i))   --> This corresponds to the zero 6 + i

(x - (6 - i))   --> This corresponds to the zero 6 - i

(x - 7)        --> This corresponds to the zero 7

To simplify the factors, we multiply them out:

(x - (6 + i))(x - (6 - i))(x - 7)

= ((x - 6) - i)((x - 6) + i)(x - 7)

= ((x - 6)² - i²)(x - 7)

= ((x - 6)² + 1)(x - 7)

Expanding the squared term:

= (x² - 12x + 36 + 1)(x - 7)

= (x² - 12x + 37)(x - 7)

Therefore, the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

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Answer:

B. 642.22 units squared

Step-by-step explanation:

Knowing that QP ║ MN and ∠QLP = ∠MLN, then ΔQLP ~ ΔMLN.

That means corresponding sides and heights have the same ratios.

We know that QP = 25, which corresponds to MN = 34. Also, the height of ΔQLP, LS, corresponds to the height of ΔMLN, LR = LS + SR = LS + 10. Let's say LS = x.

We can now write:

QP / MN = LS / LR

25 / 34 = x / (x + 10)

Cross-multiply:

34 * x = 25 * (x + 10)

34x = 25x + 250

34x - 25x = 250

9x = 250

x = 250/9 ≈ 27.78 units

So, LS = 27.78 units and LR = LS + SR = 27.78 + 10 = 37.78 units.

The area of a triangle is denoted by A = (1/2) * b * h, where b is the base and h is the height.

Here, the base of ΔLMN is MN = 34, and the height is LR = 37.78. Plug these in:

A = (1/2) * b * h

A = (1/2) * 34 * 37.78 ≈ 642.22 units squared

The answer is thus B.

~ an aesthetics lover

Answer:

C

Step-by-step explanation:

Osmosis: In osmosis, water always moves from an area of higher water concentration to one of lower concentration. In the diagram shown, the solute cannot pass through the selectively permeable membrane, but the water can.  Water has a concentration gradient in this system.

HOPE THAT HELPS YOU PLS MARK ME BRINILYS

Answer:

A hey the answer because osmosis means small when molecules when molecules from a hydrophenation with the help of travel proteins most are low concentration

The z-score is -5, which indicates that the sample proportion of 40% is 5 standard deviations below the population proportion of 64%.

To calculate the z-score, we first need to determine the standard deviation of the population. Unfortunately, the question doesn't provide us with that information, so we'll have to make an assumption.

Let's assume that the standard deviation of the population is 0.05 (or 5%). This is a common assumption when the population standard deviation is unknown.

Using this assumption, we can calculate the standard error of the sample proportion (the proportion of people in our sample who believe the election was rigged):

standard error = sqrt((p * (1 - p)) / n)

where p is the proportion from the population (0.64) and n is the sample size (100).

standard error = sqrt((0.64 * (1 - 0.64)) / 100) = 0.0498

Next, we can calculate the z-score:

z = (sample proportion - population proportion) / standard error

z = (0.40 - 0.64) / 0.0498 = -4.82

So the z-score is -4.82. This means that our sample proportion is 4.82 standard errors below the population proportion. In other words, our sample result is highly unlikely to have occurred by chance if the population proportion is really 0.64.

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The ratio of the height to the diameter that maximizes the volume of the cylindrical can is: 0.886 approximately.

Let the radius of the cylindrical can be denoted by r, and its height by h. The surface area of the can is given by:

S = 2π\(r^2\)+ 2πrh

Simplifying this expression, we get:

h = (S - 2π\(r^2\))/(2πr)

The volume of the cylindrical can is given by:

V = π\(r^2\)h

Substituting the expression for h obtained earlier, we get:

V = π\(r^2\)(S - 2π\(r^2\))/(2πr)

Simplifying this expression, we get:

V = (S/2π - \(r^2\))πr

To maximize the volume of the cylindrical can, we need to find the value of r that maximizes the above expression. We can do this by differentiating the expression with respect to r, setting it equal to zero, and solving for r:

dV/dr = (S/2π - \(2r^2\))π = 0

Solving for r, we get:

r = √(S/4π)

Substituting this value of r back into the expression for h, we get:

h = (S - 4π\(r^2\))/(4πr) = (S - S/2)/(2√(S/4π)) = √(Sπ)/2

Therefore, the ratio of the height to the diameter that maximizes the volume of the cylindrical can is:

h/2r = (√(Sπ)/2)/(2√(S/4π)) = √(π/4) = 0.886 approximately.

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The standard form polynomial expression represents the perimeter of this quadrilateral is 5x³ + 6x² + 2x - 11

Given a quadrilateral, we need to represent its perimeter with the help of a polynomial expression.A quadrilateral is a figure with four straight sides. Thus, to find its perimeter, we need to add up all of the lengths of its sides. For example, let's say that the sides of the quadrilateral are 4x³, 2x², x², 6x, -11, 3x², -4x, and 3.

So, we need to add up all of these terms. The final answer will be the polynomial expression representing the perimeter of the quadrilateral. Let's simplify the terms and then add them up to find the expression that represents the perimeter of the quadrilateral.4x³ + 2x²x² + 6x - 113x² - 4x + 3x³ - 2x

Simplifying the above expression, we get:4x³ + x³ + 2x² + x² + 3x² + 6x - 4x - 11 + 3xWe can further simplify this expression by adding like terms. Therefore, the standard form polynomial expression representing the perimeter of this quadrilateral is as follows:5x³ + 6x² + 2x - 11. Hence, the correct option is 5x³ + 6x² + 2x - 11.

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Converges; the series is a constant multiple of a geometric series. Option A

The given series can be written as:

\(\sum n=1 to \infty 4^{(n+1)} * 5^{(-n)\)

= \(4 * \sum n=1 to \infty (4/5)^n\)

This is a geometric series with first term a=4 and common ratio r=4/5. The series converges if and only if |r| < 1. Here, |r| = 4/5 < 1, so the series converges.

The sum of a convergent geometric series with first term a and common ratio r is given by:

sum = a / (1 - r)

Applying this formula, we get:

sum = 4 / (1 - 4/5) = 4 * 5 = 20

Therefore, the given series converges to 20.

The correct answer is option (a) Converges; the series is a constant multiple of a geometric series.

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Answer:

158

Step-by-step explanation:

given x = 70

=> y = 3(70) -52 = 210 -52 = 158

the ice cream they can expect to sell = 158

Answer:

-18

Step-by-step explanation:

\(\frac{2}{3}n=-12 \\ \\ \frac{3}{2} \cdot \frac{2}{3}n=\frac{3}{2}(-12) \\ \\ n=-18\)

Two different values are possible for the length of Rectangle jklm.

When we say that two rectangles are congruent, we indicate that their sides are equal. The rectangles' lengths and widths have to be comparable. It's feasible that jm will be 4 or 7 inches long given that one rectangle has dimensions of 4 and 7. Two lengths are conceivable as the solution. The length and breadth make up the rectangle shape. A rectangle has four sides, and its opposing sides are all the same length. You are given the perimeter of a rectangle. The perimeter, as you know, is the total distance along the outside of the rectangle.

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The length of the straw is 3.74 inches.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In rectangular box,

Length (l) = 2 inches

Width (w) = 1 inches

Height (h) = 3 inches

Here, The straw is said to fit into the box diagonally from the bottom.

So, the length (s) of the straw is calculated as:

⇒ s = √ l² + w² + h²

⇒ s = √ 2² + 1² + 3²

⇒ s = √ 4 + 1 + 9

⇒ s = √ 14

⇒ s = 3.74 inches

Thus, The length of straw = 3.74 inches

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The length of the straw will be 3.7416  inches long in radical form.

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula : X²=l²+b²+h²

Here,

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 2 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

X²=14

X=√14

i.e. X=3.7416

We get, X= 3.7416 (in radical form)

Hence, the length of the straw will be  5.91607 inches.

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Hi! I'm happy to help.

A rational number is a number that repeats, or stops.

First of all, 8/5, in fraction and decimal form (1.6), stops, So it is Rational.

Next, we have pi. This number, doesn't ever stop, or repeat. ( 3.1415926535 897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679...) So, pi, is Irrational.

Next, we have 0. This number stops, so it is Rational.

Next, we have\(\sqrt{1}\), the square root of 1, is 1, because 1 squared is one. 1 stops, so it is Rational.

Next, we have 4.46466... This number doesn't stop, and it doesn't seem to repeat, so it is Irrational.

Next, we have -6. -6 stops, so it is Rational.

Finally, we have \(\sqrt{2}\). The square root of 2 is 1.41421356237...

This number doesn't stop, and doesn't repeat, so it is Irrational.

To sum it up: Number 1, 3, 4, and 6 are Rational, and Number 2, 5, and 7 are Irrational.

I hope this was helpful, keep learning! :D

Answer:

X = -4

Step-by-step explanation:

91x + 637 =273

First subtract 637 from both sides: 91x = -364

Then, divide both sides by 91 to get X by itself: X = -4

a) 0 fraudulent records need to be resampled if we would like the proportion of fraudulent records in the balanced data set to be 20%.

b) 1600 non-fraudulent records need to be set aside if we would like the proportion of fraudulent records in the balanced data set to be 20%?

(a) How many non-fraudulent records need to be set aside if we would like the proportion of fraudulent records in the balanced data set to be 20%

Ans - 0

(b) How many non-fraudulent records need to be set aside if we would like the proportion of fraudulent records in the balanced data set to be 20%?

Ans 1600

Therefore, fraudulent records is 400 which 4% of 10000 so we will not resample any fraudulent record.

To balance in the dataset with 20% of fraudulent data we need to set aside 16% of non-fraudulent records which is 1600 records and replace it with 1600 fraudulent records so that it becomes 20% of total fraudulent records

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Complete Question:

6. Suppose we are running a fraud classification model, with a training set of 10,000 records of which only 400 are fraudulent.

a) How many fraudulent records need to be resampled if we would like the proportion of fraudulent records in the balanced data set to be 20%?

b) How many non-fraudulent records need to be set aside if we would like the proportion of fraudulent records in the balanced data set to be 20%?

When the variables in an equation cancel out and the final sentence is false, the equation has no solutions.

For example, consider the equation:
\(2x - 4 = x - 2\)

If we subtract x from both sides, we get:
\(x - 4 = -2\)

Now, add 4 to both sides:
\(x = 2\)

In this case, the variables did not cancel out, and we have a valid solution, x = 2. However, let's look at a different example:
\(x - 3 = x - 5\)

If we subtract x from both sides, the variables cancel out, and we are left with:
\(-3 = -5\)

Since this final sentence is false (-3 is not equal to -5), we can conclude that the original equation has no solutions.

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Answer:

A

Step-by-step explanation:

There is only one line that passes through the endpoints of the diameter of a sphere. Option B are correct.

Given that,
In spherical geometry, which of the following statements is true is to be determined.

A line is a straight curve connecting two points or more showing the shortest distance between initial and final points.

A.
False, because there are two endpoints of the diameter so a line minimum required two to get constituents.

B.

True, because online one line can constitute the two points, not more than one line can.

Similarly,
C and D are false.

There is only one line that passes through the endpoints of the diameter of a sphere. Option B are correct.

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The probability that the number of residents that recognize the brand is not 4 is 0.86 , the probability that at least 7 people will recognize the brand is 0.29 and the probability that at most 5 people will recognize the coffee shop is 0.39.

Given Recognition rate of brand in town of Coffleton is 57% and sample size is 10.

We have to use binomial distribution:

P(X=x)=\(C_{n,x} p^{x} (1-p)^{n-x}\)

\(C_{n,x} =C!/r!(C-r)!\)

A) The parameters are as under:

x is the number of successes.

n is the number of trials which is 10 in this question.

p is the probability.

In this problem :

The brand name of a certain chain of coffee shops has 57% recognition rate in the town of coffleton , hence p=0.53.

There is a sample of 10 residents, n=10.

Probability that the no. of people that recognize the brand name is not 4 is as  under:

P(X≠4)=1-P(X=4)

P(X=4)=\(C_{10,4}(0.53)^{4} (0.43)^{6}\)

=0.1395

P(X≠4)=1-0.1395

=0.8605

B) P(X>=7)=\(C_{10,7} (0.57)^{7} (0.43)^{3} +C_{10,8} (0.57)^{8} (0.43)^{2} +C_{10,9} (0.57)^{9} (0.43)^{1} +C_{10,10} (0.57)^{10} (0.43)^{0}\)

=0.18012+0.081+0.0258+0.0036

=0.29

C)P(X<=5)=\(C_{10,1} (0.57)^{1} (0.43)^{9} +C_{10,2} (0.57)^{2} (0.43)^{8} +C_{10,3} (0.57)^{3} (0.43)^{7} +C_{10,4} (0.57)^{4} (0.43)^{6} +C_{10,5} (0.57)^{5} (0.43)^{5}\)

=0.00285+0.0146205+0.0432+0.126+0.21168

=0.3983.

Hence the probability that the number of residents that recognize the brand is not 4 is 0.86 , the probability that at least 7 people will recognize the brand is 0.29 and the probability that at most 5 people will recognize the coffee shop is 0.39.

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The length of the line segment BD is 2x(√5-1) units.

From the given figure, OB=2x units and AB = AC/2 = 8x/2 = 4x.

Consider triangle AOB,

By using Pythagoras theorem, we get

OA²=AB²+OB²

OA²=(4x)²+(2x)²

OA²=20x²

OA=√(20x²)

OA=2x√5

BD=OD-OB

BD=OA-OB

BD=2x√5-2x

BD=2x(√5-1)

Therefore, the length of the line segment BD is 2x(√5-1) units.

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We have the following:

We have coterminal angles, when you graph angles x = 30° and y = - 330° in standard position, these angles will have the same terminal side. See figure below.

Therefore, the answer is 94 degrees in the quadrant II

Answer:

work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease.

Step-by-step explanation:

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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The materials price variance for January can be calculated using the following formula: Materials Price Variance = (Actual Quantity Purchased x Standard Price) - (Actual Quantity Purchased x Actual Price).

In this case, the actual quantity purchased is 29,300 grams and the actual price is $8.00 per gram. The standard price is given as $7.90 per gram. Plugging these values into the formula, we get: Materials Price Variance = (29,300 grams x $7.90 per gram) - (29,300 grams x $8.00 per gram).

To calculate the specific value of the variance, you would need to subtract the product of the actual quantity purchased and actual price from the product of the actual quantity purchased and standard price. The resulting value will determine whether the materials price variance is favorable or unfavorable, indicating whether the actual price paid for the material was higher or lower than the standard price set by the company.

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The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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The true statement would be A. The theoretical probability of landing on violet is 1/3.

Probability which is derived theoretically, irrespective of what outcome comes, is called theoretical probability.

Probability which is based on the outcomes of experiments performed is called experimental probability.

Suppose we want to find the probability of an event E.

Then, its probability is given as

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}\)

where favorable cases are those elementary events that belong to E, and total cases are the size of the sample space.

A spinner has 4 equal sections. After spinning the spinner 15 times, the results are recorded in a table.

The true statement would be A. The theoretical probability of landing on violet is 1/3.

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To find the measure of angle QZX, we need to use the fact that the sum of the angles in a triangle is 180 degrees.

First, we can find the measure of angle ZWQ:

Angle WZQ + Angle WZX = 180 degrees

92 degrees + 63 degrees = 155 degrees

Therefore, angle ZWQ has a measure of 155 degrees.

Now, we can find the measure of angle QZX:

Angle ZWQ + Angle QZX = 180 degrees

155 degrees + Angle QZX = 180 degrees

Subtracting 155 from both sides, we get:

Angle QZX = 25 degrees

Therefore, the measure of angle QZX is 25 degrees.

Answer:

Not 100% sure. Hope it helps you

Answer:

Step-by-step explanation:

Look at 3%2At%2B7=%28+-8+%29.

Moved these terms to the left  %28 +8+ %29

It becomes 3%2At%2B7%2B _green%28+8+%29=0.

Look at 3%2At%2B_red%28+7+%29%2_red%28+8+%29=0.

Added fractions or integers together

It becomes 3%2At% 2B % 28+15+%29=0.

Look at highlight_red%28+3%2At%2B15+%29=0.

Solved linear equation %28+3%2At%2B15=0+%29 equivalent to 3*t+15 =0

It becomes highlight_green%28+0+%29=0.

Result: 0=0

This is an equation! Solutions: t=-5.

Answer: t= -1/3

Step-by-step explanation:

3t+7=-8

subtract 7 from 7 and 8 (this cancels out the 7)

left with 3t = -1

divide 3 into 3t and -1

the 3 in 3t is canceled out, leaving us with t, therefore t= -1/3

It can be 99% confident that the true average amount of time it takes to repair the second kind of machine failure is within the range of -16.2 to 1.0 minutes longer than the first kind.

We have to give that,

A study of two kinds of machine failures shows that 58 failures of the first kind took on average 79.7 minutes to repair with a sample standard deviation of 18.4 minutes.

And, 71 failures of the second kind took on average 87.3 minutes to repair with a sample standard deviation of 19.5 minutes.

Let's denote the average repair time for the first kind of machine failure as μ₁ and the average repair time for the second kind as μ₂.

Here, For the first kind of machine failure:

n₁ = 58,

x₁ = 79.7 minutes,  

s₁ = 18.4 minutes.

For the second kind of machine failure:

n₂ = 71,

x₂ = 87.3 minutes,

s₂ = 19.5 minutes.

Now, calculate the 99% confidence interval using the following formula:

CI = (x₁ - x₂) ± t(critical) × √(s₁²/n₁ + s₂²/n₂)

For a 99% confidence level, the Z-score is , 2.576.

So, plug the values and calculate the confidence interval:

CI = (79.7 - 87.3) ± 2.576 × √((18.4²/58) + (19.5²/71))

CI = (- 16.2, 1) minutes

So, It can be 99% confident that the true average amount of time it takes to repair the second kind of machine failure is within the range of -16.2 to 1.0 minutes longer than the first kind.

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