Dexter has worked out 3/5 x 8 here is his working. explain the mistake he has made.

Answer:

There is no photo here so sorry.

Step-by-step explanation:

A student states that the exterior angle of a triangle can never be a right angle. The statement is incorrect.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

A student states that the exterior angle of a triangle can never be a right angle.

The given statement is incorrect because, in the right-angle triangle, the interior and exterior angles are equal that is right angle.

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Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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The function that takes an input, adds 2, and then multiplies by 3 is a linear function with two operations: addition and multiplication. It can be represented by the equation y = 3(x + 2), where x is the input and y is the output.

To describe the function that adds 2 to the input and then multiplies by 3, we can break it down into two steps. First, we add 2 to the input, which can be represented by (x + 2). This expression ensures that the input is increased by 2.

The next step is to multiply the result by 3. Multiplying the expression (x + 2) by 3 gives us 3(x + 2). This step ensures that the increased input is further multiplied by 3.

Combining the two steps, we have the equation y = 3(x + 2), where y represents the output of the function. This equation indicates that the input (x) is first incremented by 2 and then multiplied by 3 to produce the final output (y).

Therefore, the function that takes an input, adds 2, and then multiplies by 3 can be described by the equation y = 3(x + 2).

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For the 6th point, the answer is PR because this is the formula from the Pitagoras theorem, PT and RT are the hicks, so PR is the hypotenuse.

For the 7th point, the answer is QR because this is the formula from the Pitagoras theorem, QT and RT are the hicks, so QR is the hypotenuse.

Answer:

5/9

Step-by-step explanation:

we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9

Answer:

  f(x) = (x+2)²(x+4)

Step-by-step explanation:

Given the polynomial f(x) = x³ +8x² +20x +16 and the observations that f(-2) = 0, f(0) = 16, and f(2) = 96, you want the factored form using the box method.

The observation that f(-2) = 0 means (x +2) is a factor. If the other factors are (x+a) and (x+b), then ...

  f(0) = 16 = (0 +2)(0 +a)(0 +b) = 2ab

  ab = 8

And ...

  f(2) = 96 = (2 +2)(2 +a)(2 +b) = 4(4 +2(a+b) +ab)

  24 = 4 +2(a +b) +ab . . . . . . divide by 4

  12 = 2(a +b) . . . . . . . . . substitute ab=8 and subtract 12

  a +b = 6 . . . . . . . . . divide by 2

Then the quadratic factor is ...

  (x +a)(x +b) = x² +(a+b)x +ab = x² +6x +8

Using the box method, we write the first and last terms on the downward diagonal, then look for terms with the product 8x² that have a total of 6x. These get written on the upper diagonal.

  \(\begin{array}{|c|c|}\cline{1-2}\vphantom{\dfrac{b}{g}}x^2&\textsf{2x}\\\cline{1-2}\vphantom{\dfrac{b}{g}}\textsf{4x}&8\\\cline{1-2}\end{array}\)

This means the quadratic factor can be written as ...

  x² +2x +4x +8 = x(x +2) +4(x +2) = (x +4)(x +2)

The fully factored polynomial is ...

  f(x) = (x +2)(x +4)(x +2)

  f(x) = (x +2)²(x +4)

__

Additional comment

The box method seems irrelevant here, as we know before we get to the box that the factors are (x +a) and (x +b) with ab=8 and (a+b)=6. A listing of the factors of 8 quickly tells us the values of 'a' and 'b', without the box.

  8 = 1·8 = 2·4 . . . . . . factor pairs with sums of 9 and 6   ⇒   a=2, b=4.

The assignment of {2, 4} to {a, b} can be in either order, as the factors come out (x +2) and (x +4) however you do it.

The factors of the polynomial f(x) = x³+8x²+20x+16 are (x+2), (x+2) and (x+4).

The box method is to find the factors of polynomials.

The first phrase should go in the first box, and the last term should go in the last box. The first and last boxes are then multiplied. Find two words that combine to form the middle term and are the product of the first and last boxes. Fill in the remaining boxes using these expressions.

We have the polynomial,

f(x) = x³+8x²+20x+16

And given, f(-2) = 0

That means, x = -2 is the zeros of the polynomial.

(x+2) is one factor.

Now, we know (x+2) is one factor.

So,

f(x) = x³+8x²+20x+16

f(x) = x²(x+2) + 6x(x+2) + 8(x+2)

f(x) = (x+2)  (x²+ 6x+ 8)

We have x²+ 6x+ 8 is a quadratic function.

To find the factors of a quadratic function:

In box method,

In the box, we have 2 columns and 2 rows.

Terms are attached in the box as shown in the image.

The first phrase should go in the first box, and the last term should go in the last box. The first and last boxes are then multiplied. Find two words that combine to form the middle term and are the product of the first and last boxes. Fill in the remaining boxes using these expressions.

That means,

x²+ 6x+ 8

=  x²+ 2x+ 4x + 8

= (x+2)(x+4)

Therefore, the factors are (x+2), (x+2) and (x+4).

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Answer:

2/3

Step-by-step explanation:

5/6*4/5=20/30

20/30 divided by ten equals 2/3

the answer is 2/3

A concave hexagon with 2 pairs of congruent sides is a shape that has six sides and two pairs of sides that are of equal length, but the shape curves inward at one or more angles, creating a concave indentation.

A hexagon is a six-sided polygon, and when two pairs of its sides are congruent,

it means that four of its sides have the same length, if the shape curves inward at one or more angles,

it creates a concave hexagon, which means that the indentation on the shape is facing inward, rather than outward, a concave hexagon with 2 pairs of congruent sides is a six-sided polygon with four sides of equal length, but with a curvature that creates an inward indentation.

Hence, a concave hexagon with 2 pairs of congruent sides is a six-sided figure with an indentation and two sets of sides with equal lengths.

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Answer:

B and C

Step-by-step explanation:

Answer:

B/C

Step-by-step explanation:

i just did it :)

The experimental probability that Reagan will miss the first two field goals and make the third one is 20%

Experimental is the probability is the probability of an event occurring based on the performance of actual experiment.

The probability of making or missing a field goal is 0.7 and 0.3 respectively. The probability that Reagan will miss the first two field goals and make the third one, can be obtained from the result by counting the number of times the specific sequence of results occurs in the 10 sets of random numbers and divide by the total number of trials.

The analysis of the sets of numbers indicates that the specific sequence of missing the first two field goals and making the third one occurs twice in 2nd and 4th trials

2; 8, 10, 4, 10, 2, 2, 3, 6, 7, 10

4; 8, 8, 2, 3, 4, 6, 5, 6, 5, 3

Therefore, the experimental probability of the specific sequence occurring is 2/10 = 1/5 (since there are 10 sets of numbers in total)

Theoretically, the probability of making and missing field goals for the three kicks in the sequence are;

0.3 × 0.3 × 0.7 = 0.063

Therefore, the experimental probability of Reagan missing the first two field goals and making the third one is approximately 0.2 (or 20%), while the theoretical probability is 0.063 (or 6.3%)

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A. To determine whether the variances are equal, conduct a right-tail test using appropriate statistical methods.

B. To test the equality of variances, we can use a right-tail test, also known as a folded test.

This test compares the variances of two samples to assess whether they are statistically different or not.

Here are the steps to conduct the right-tail test for equal variances:

1. State the null and alternative hypotheses:

  - Null hypothesis (H0): The variances of the two samples are equal.

  - Alternative hypothesis (H1): The variances of the two samples are not equal.

2. Choose an appropriate significance level (e.g., α = 0.05) to determine the critical value.

3. Calculate the test statistic.

There are different tests available, such as the F-test or Bartlett's test, depending on the nature of the data and assumptions.

The test statistic measures the ratio of the variances and follows a specific distribution under the null hypothesis.

4. Determine the critical value corresponding to the chosen significance level.

This critical value helps determine whether to reject or fail to reject the null hypothesis.

5. Compare the test statistic with the critical value.

If the test statistic exceeds the critical value, we reject the null hypothesis, indicating that the variances are significantly different.

If the test statistic does not exceed the critical value, we fail to reject the null hypothesis, suggesting that there is not enough evidence to conclude a significant difference in variances.

By following these steps and conducting the appropriate test, you can determine whether the variances of the samples are equal or not.

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A different term for a quadratic function's zeros is "roots." The zeros or roots of a quadratic function are the points on the x-axis where the function meets or crosses it.

They stand in for the x values at which the quadratic function equals zero. Depending on the discriminant of the quadratic equation, the zeros or roots of a quadratic function can either be real or complex integers. The quadratic has two unique real roots if the discriminant is positive. The quadratic has a single real root, also referred to as a double root or repeating root, if the discriminant is zero. The quadratic has two complex roots that can be represented as a + bi if the discriminant is negative.

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Answer: B = 90°; C = 60°

Step-by-step explanation:

B is obviously 90° because of the right angle quadrant.

Since it is a right triangle and A is already 30°, just subtract 30 from 90.

90 - 30 = 60

Thus, C is 60°.

Correct me if I am incorrect.

there are total  360 cans in the display.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, A display of cans in a grocery store consists of 15 rows.

We can simplify this calculation by using the formula for the sum of an arithmetic series:

S = (n/2) * (a + l)

where S is the sum of the series,

n is the number of terms, a is the first term,

and l is the last term

In this case, we have:

n = 15 (the number of rows)

a = 45 (the number of cans in the first row)

l = 3 (the number of cans in the last row)

Plugging these values into the formula, we get:

S = (15/2) * (45 + 3)

S = 7.5 * 48

S = 360

Therefore, there are 360 cans in the display.

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Given:

The number of members in the band was 82 in 2000.

The number of members decreased by 8% each year.

Required:

We need to find the model for the given situation.

Explanation:

Let t be the number of years since 2000.

Let y be the number of members in t number of years since 2000.

The initial value is 82.

The number of members is decreasing.

Consider the exponential decay equation.

Final answer:

the answer is 29363

Step-by-step explanation:

hope this dont help

Answer:

10392

Step-by-step explanation:

;$6%6%-%-:-$-&-'-$-

When procedures are mandated by third party payers, the modifier -32 (mandated services) is used. This modifier is used to indicate that a service or procedure is mandated by a third party payer, such as Medicare or Medicaid.

It is used to ensure that the service or procedure is reimbursed appropriately and to avoid denials. The use of the -32 modifier is important to accurately reflect the requirements of the payer and to avoid any potential billing or coding errors. It is important to check with the specific payer to determine if the use of this modifier is required for a particular service or procedure.

When procedures are "mandated" by third-party payers, you would use the modifier -32. This modifier indicates that a service or procedure is being performed due to specific requirements from a third-party payer. It helps to provide the necessary information for reimbursement and ensures that the claim is processed correctly by the payer. Remember to attach the modifier -32 to the appropriate procedure code on the claim form when submitting it to the third-party payer. This will help avoid any potential delays or denials in payment due to insufficient documentation.

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Answer:

Step-by-step explanation:

Not sure g

Answer:

Noah, can I have your points? THANKS! Oh, the answer is $6344.93

Step-by-step explanation:

Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.

a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.

b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.

c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.

Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.

The events that would shift the factory's demand for capital are:

a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.

b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.

The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.

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Dimensions of the rectangular plot are 25' × 50'.

The area of a rectangular plot is 1250m.

What is the dimension of the rectangle?

Four perpendicular sides make up the two-dimensional geometric shape of a rectangle. Two of the four sides are distinct, and the other two resemble the distinctive sides. The dimensions of a rectangle are these two distinctive sides.

Here, we have

100 meters fencing

We have to find the dimensions and area of the rectangular plot.

so, 2x + y = 100

y = 100 - 2x

A = xy

A = x (100 - 2x)

A = 100x - 2x²

We differentiate w.r.t x, and we get

A' = 100 - 4x

We put, A'= 0

100 - 4x = 0

x = 25

y = 50

A = xy

A = 25 × 50

A = 1250m

Hence, the dimension of the rectangular plot is 25' × 50'.

The area of a rectangular plot is 1250m.

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Answer:

x= 25+20y

Step-by-step explanation:

De acuerdo a la situación planteada, la expresión algebraica debe indicar que 25€ que es el valor por la visita más 20€ multiplicado por el número de horas trabajadas es igual al dinero total que se debe pagar. La expresión es:

x= 25+20y, donde

x= valor total a pagar

y= número de horas trabajadas

Answer:

The mass of 3.5 moles of Ca (Sodium)  is 140 g to two significant figures.

The hexadecimal expression of decimal integer -100 in the 8-bit signed binary integer system is "9C". The decimal integer expression of the signed binary number 11010111 is -41. The 8-bit fixed point binary number expression of decimal real number -3.47 is 10111011.

To obtain the hexadecimal expression of decimal integer -100 in the 8-bit signed binary integer system, we first need to represent -100 in binary form. Since the 8-bit signed binary integer system uses two's complement representation, we can find the binary representation of -100 by taking the two's complement of the binary representation of 100. The binary representation of 100 is 01100100, so the two's complement of this number is 10011100. Therefore, the binary representation of -100 is 10011100, and its hexadecimal expression is 9C.

To find the decimal integer expression of the signed binary number 11010111, we first need to determine its sign bit. Since the leftmost bit is a 1, the number is negative. To obtain its binary value, we can take the two's complement of the binary representation of 00101001, which is the binary representation of the absolute value of 11010111. The two's complement of 00101001 is 11010111, so the binary representation of -41 is 11010111 in the 8-bit signed binary integer system.

To obtain the 8-bit fixed point binary number expression of decimal real number -3.47, we first need to represent -3.47 in binary form. To do this, we can convert the integer part and the fractional part separately. The integer part of -3.47 is -3, which has a binary representation of 11111101 in the 8-bit signed binary integer system. The fractional part of -3.47 can be converted using the binary fraction representation method. Multiplying 0.47 by 2 yields 0.94, which has an integer part of 0. Multiplying 0.94 by 2 yields 1.88, which has an integer part of 1. Continuing in this way, we can obtain the binary fraction 01101101. Therefore, the binary representation of -3.47 is 11111101.01101101. To obtain the 8-bit fixed point binary number expression, we need to shift the binary point to the left by 4 bits, yielding 11010111.

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An estimator is unbiased ​ if the expected value of the estimator is exactly equal to the parameter that it is estimating. So, the answer is unbiased.

An estimator is said to be unbiased if, on average, it provides an estimate of a population parameter that is exactly equal to the true value of the parameter. if we were to take many samples from the same population and compute the estimator for each sample, the average of these estimators would converge to the true population parameter.

Unbiased estimators are considered to be desirable, as they provide an estimate that is not systematically too high or too low, and thus can be used to make accurate inferences about the population. However, some estimators may be biased, meaning that they tend to overestimate or underestimate the population parameter on average, and thus may not provide accurate estimates.

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To solve this problem, we can use the Poisson distribution, which models the number of events that occur in a fixed period of time, given the average rate of occurrence.

a. To find the probability that at most 425 people are struck by lightning in a year, we can use the Poisson distribution with a mean of 400. The formula for the Poisson distribution is:
P(X ≤ k) = e^-λ ∑_(i=0)^k (λ^i/i!)
where X is the random variable (the number of people struck by lightning in a year), λ is the mean (400), and k is the maximum number of people we're interested in (425). Plugging in the values, we get:
P(X ≤ 425) = e^-400 ∑_(i=0)^425 (400^i/i!) = 0.8855
So the probability that at most 425 people are struck by lightning in a year is 0.8855, or about 88.55%.
b. To find the probability that at least 375 people are struck by lightning in a year, we can use the complement rule: the probability of an event happening is 1 minus the probability of the event not happening. So in this case, we want to find the probability that fewer than 375 people are struck by lightning, and subtract that from 1 to get the probability of at least 375 people being struck.
P(X ≥ 375) = 1 - P(X < 375) = 1 - e^-400 ∑_(i=0)^374 (400^i/i!) = 0.9369
So the probability that at least 375 people are struck by lightning in a year is 0.9369, or about 93.69%.
It's important to note that these probabilities are based on the assumption that the number of people struck by lightning in a year follows a Poisson distribution with a mean of 400. This may not be a perfect model, but it's a reasonable approximation based on the available data. Additionally, the chances of being struck by lightning are still relatively low - even at the high end of our estimates, only about 0.1% of the US population would be affected.

Based on the given information of 400 people being struck by lightning in the United States on average each year, we can calculate the probabilities for the scenarios you mentioned.
a. The probability that at most 425 people are struck by lightning in a year:
To calculate this, we'll need to know the distribution of people being struck by lightning, which isn't provided. However, let's assume it follows a normal distribution with a mean of 400 and some standard deviation. In this case, we would calculate the z-score for 425 people and find the corresponding probability from the z-table. Unfortunately, without the standard deviation, we cannot compute the exact probability.
b. The probability that at least 375 people are struck by lightning in a year:
Similarly, to calculate this probability, we'd need the standard deviation to find the z-score for 375 people and then find the corresponding probability from the z-table. Again, without the standard deviation, we cannot compute the exact probability.
In conclusion, without knowing the standard deviation or the distribution of people being struck by lightning, we cannot provide a precise probability for the given scenarios.

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Answer:

about =502.65

Step-by-step explanation:

Polynomials are expressions. The solution of the division can be written as \(4x^2-27x+167-\dfrac{996}{x+6}\).

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The division of the polynomial  (4x³-3x²+5x+6) when divided by (x+6), can be done in the following manner,

\(\dfrac{4x^3-3x^2+5x+6}{x+6}\)

\(=4x^2+\dfrac{-27x^2+5x+6}{x+6}\)

\(=4x^2-27x+\dfrac{167x+6}{x+6}\)

\(=4x^2-27x+167+\dfrac{-996}{x+6}\\\\\\=4x^2-27x+167-\dfrac{996}{x+6}\)

Hence, the solution of the division can be written as \(4x^2-27x+167-\dfrac{996}{x+6}\).

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Answer:

Step-by-step explanation:

OPT D ON EDG 2023