please help 11 points ☆​

Step-by-step explanation:

This question can be solved by two methods which I have solved please look at below picture...

The company's earnings per share can be calculated using the provided data, including the net income and shares outstanding, resulting in a specific dollar amount.

Earnings per share (EPS) is a financial ratio that indicates the portion of a company's net income attributed to each outstanding share of common stock. To calculate EPS, the net income is divided by the number of shares outstanding. In this case, the net income is $150 million, and the shares outstanding are 300 million. Dividing the net income by the shares outstanding gives us an earnings per share of $0.50.

Therefore, the correct answer is option C, $0.50. This indicates that for each outstanding share of Accessories Unlimited's common stock, the company generates $0.50 of earnings.

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Answer:

x≥5

Step-by-step explanation:

Answer:

x≥16

Step-by-step explanation:

2x+6≥16

2x≥16-6

2x≥10

x≥5

Answer:

The answer is D. 1 cubic foot.

Step-by-step explanation:

To solve for the volume of a cube, use the formula V= \(a^{3}\). This is the formula because the volume of a cube formula equals length times width times height. Since the length, width, and height are all the same values, the simplest volume of a cube formula is \(a^{3}\).

Next, plug in the information from the question into the formula, which will look like V= \(1^{3}\). Then, solve the equation, and the final answer will be 1 cubic foot.

Answer:

$60 and $150

Step-by-step explanation:

Initially

Karen : Peter = 2 : 5

After Peter receiving $75 the ratio is

4 : 15

We can suppose that initally the amount of monye Karen has is 2x and Peter is 5x.

The new ratio is

2x :  (5x +75)  = 4 :15

2x (15)= 4 (5x +75)

30 x = 20 x + 300

10 x = 300

x = 30

So at first Karen has 2x =60 dollars while Peter has 5x = 5(3) = 150 dollars.

The size of angle PSQ is 75 degrees.

To find the size of angle PSQ, we can use the fact that the sum of angles in a triangle is 180 degrees. Since angle PQS and angle SQR are in a 3:1 ratio, we can assign a value of 3x to angle PQS and x to angle SQR, where x represents a common factor.

The sum of the angles in triangle PSR is 180 degrees, so we have:

3x + x + (angle PSQ) = 180

Combining like terms, we get:

4x + (angle PSQ) = 180

Subtracting 4x from both sides, we have:

angle PSQ = 180 - 4x

Since angle PQS and angle SQR are in a 3:1 ratio, we can set up the equation:

3x = x

Simplifying, we find:

2x = 0

x = 0

Substituting this value into the equation for angle PSQ, we get:

angle PSQ = 180 - 4(0) = 180

Therefore, the size of angle PSQ is 75 degrees.

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Answer: for the table:

Forks: 16, 8, 48

Spoons: 10, 5, 30

Equivalent ratios are 16:10, 8:5, 48:30

Step-by-step explanation:

Answer:

Lilly, since the angles are the same we can set the equal to each other, that's the "trick" of this problem

Step-by-step explanation:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

see how I got that?

The average rate of change between year 1 and year 4 is $500-$100/(4-1) years = $400/3 years = $133.33 per year. This statement accurately calculates the average rate of change in cost.

To determine the correctness of the observations based on the graph, we need to carefully analyze the information presented.

Observation 1 states that the cost of maintaining the machine is constantly rising. However, this statement is incorrect as there is a flat spot and a downward trend from 4 to 6 years, indicating a decrease in maintenance costs during that period.

Observation 2 claims that the cost of maintenance is $300 for the first 3 years. This statement is also incorrect since the graph shows a rising trend in the cost during the first 3 years, and it is only in the third year that the cost reaches $300. The cost is not constant for the entire period.

Observation 3 states that the average rate of change between year 1 and year 4 is $400/400 = $100/year. This statement is incorrect because the change in time from year 1 to year 4 is actually 3 years, not 4. Therefore, the correct calculation would be $400/3 years, which is approximately $133.33 per year.

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The hypothesis used in creating the box model for a test of significance. this hypothesis about the box (population parameter) corresponds with the idea that any observed difference between the sample outcome and the expected value is due to chance is the Null Hypothesis.

A statistical conjecture known as a null hypothesis asserts that certain characteristics of a population or data-generating process are not different from one another.

The alternative theory contends that there is a distinction. A method to reject the null hypothesis with a predetermined level of confidence is provided by hypothesis testing. The alternative hypothesis is supported if the null hypothesis can be rejected. The foundation of the scientific falsification principle is null hypothesis testing.

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The percentage of 4c in the expression 0.2c is 2000%

The expression is given as:

0.2c

The percentage of 4c is then calculated as:

4c/0.2c

Evaluate the quotient

20

Express as percentage

2000%

Hence, the percentage of 4c in 0.2c is 2000%

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The expected value of a distribution is the weighted average of all possible values that a random variable can take on.

The expected value of a distribution is calculated by multiplying each possible value by its probability and then summing all of these products.

In other words, the expected value is the mean of the distribution.

To calculate the expected value of a distribution, you can use the following formula:

E(X) = ∑xP(x) , where

E(X) = the expected value,

x = possible value of the random variable,

P(x) = the probability of that value occurring.

For example, let's say we have a distribution with the following values and probabilities:

   x:   1       2       3       4        5
P(x): 0.1    0.2    0.3    0.2    0.2

To calculate the expected value, we would multiply each value by its probability and then sum the products:

E(X) = ∑xP(x)

       = (1)(0.1) + (2)(0.2) + (3)(0.3) + (4)(0.2) + (5)(0.2)

       = 0.1 + 0.4 + 0.9 + 0.8 + 1.0

       = 3.2

So, the expected value of this distribution is 3.2.

It is important to note that the expected value is a theoretical value and may not necessarily be observed in actual data. However, it is a useful measure for understanding the central tendency of a distribution.

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Answer:

\(3(6b-1)(2a-1)\)

Step-by-step explanation:

\(36ab-18b+6a-3\\18b(2a-1)+3(2a-1)\)

Taking (2a-1) as common

\((18b+3)(2a-1)\)

=> \(3(6b-1)(2a-1)\)

Answer:

\(3(6b+1)(2a-1)\)

Step-by-step explanation:

\(36ab - 18b+6a-3\)

Factor the two groups.

\(18b(2a-1)+3(2a-1)\)

Take 2a - 1 common.

\((18b+3)(2a-1)\)

Factor 18b + 3.

\(3(6b+1)(2a-1)\)

The factors of the equation are 4 and -1.

Given

Equation; \(\rm x^2+3x-4\)

The polynomial which has the highest degree is 2 is called the quadratic equation.

The standard form of the quadratic equation is;

\(\rm ax^2+bx+c=0\)

The factors of the given equation are;

\(\rm x^2+3x-4=0\\\\x^2-4x+x-4=0\\\\x(x-4)+1(x-4)=0\\\\ (x-4)(x+1)=0\\\\x-4=0, \ \ x=4\\\\x+1=0, \ \ x=-1\)

Hence, the factors of the equation are 4 and -1.

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Answer:

c

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

A parallelogram has opposite angels equal and opposite sides equal. in this case, only a single pair of angels are equal.

Answer:

Step-by-step explanation:

Given system of equations

Express the first equation as

Substitute the value of y into second equation

Solve for x

Find the value of y

Answer:

(-5, 9)

Step-by-step explanation:

Given system of linear equations:

\(\begin{cases}-2x-y=1\\-4x-y=11\end{cases}\)

To solve by substitution, use arithmetic operations to isolate y in Equation 1:

\(\implies -2x-y=1\)

\(\implies -2x-y+y=1+y\)

\(\implies -2x=1+y\)

\(\implies -2x-1=1+y-1\)

\(\implies y=-2x-1\)

Substitute the expression for y into Equation 2 and solve for x:

\(\implies -4x-(-2x-1)=11\)

\(\implies -4x+2x+1=11\)

\(\implies -2x+1=11\)

\(\implies -2x+1-1=11-1\)

\(\implies -2x=10\)

\(\implies -2x \div -2=10 \div -2\)

\(\implies x=-5\)

Substitute the found value of x into one of the equations and solve for y:

\(\implies -2(-5)-y=1\)

\(\implies 10-y=1\)

\(\implies 10-y+y=1+y\)

\(\implies 10=1+y\)

\(\implies 10-1=1+y-1\)

\(\implies y=9\)

Therefore, the solution to the given system of linear equations is (-5, 9).

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When a researcher draws conclusions about a population based on the results of a test on a sample, he or she is most likely using inferential statistics. Therefore Option A is correct.

Inferential statistics: It involves using sample data to make inferences or draw conclusions about a population. In this case, the researcher is using the results from the sample to make inferences about the population from which the sample was drawn.

Deductive statistics, inductive statistics, and descriptive statistics are other branches of statistics that are used for different purposes.

Therefore the researcher draws a conclusion to use inferential statistics about a population based on test of sample.Option A is correct.

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The matrices for the action of g in the standard basis are indeed permutation matrices.

To prove that the matrices for the action of g in the standard basis are permutation matrices, we need to show that each matrix represents a permutation.

In the permutation representation cs, each element g of the group acts on the set S. This action can be represented by a matrix M(g) where the entry in the i-th row and j-th column represents the effect of g on the i-th element of the standard basis of S.

A permutation matrix is a square matrix with exactly one 1 in each row and column, and 0s everywhere else. In other words, it represents a permutation of the elements of the standard basis.

To show that the matrices for the action of g in the standard basis are permutation matrices, we need to demonstrate that each matrix M(g) satisfies these conditions.

Let's consider an arbitrary matrix M(g) for some element g of the group. Since g acts on S, it must map each element of the standard basis to another element of the standard basis. This means that each row of M(g) must contain exactly one 1 and all other entries are 0.

Similarly, since g is a permutation, it must also map each element of the standard basis to a distinct element of the standard basis. Therefore, each column of M(g) must contain exactly one 1 and all other entries are 0.

Thus, we have shown that the matrices for the action of g in the standard basis are indeed permutation matrices.

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Answer:

  (-0.2, 1.4)

Step-by-step explanation:

You want the point on the line y = 3x +2 that is closest to the point (4, 0).

When a line is drawn from the given point perpendicular to the given line, their point of intersection will be the point we're looking for. There are several ways it can be found.

The given line has a slope of 3, so the perpendicular will have a slope of -1/3, the opposite reciprocal of 3.

One way to find that point is to write the equation for the slope from it to point (4, 0).

  (y -0)/(x -4) = -1/3

  ((3x +2) -0)/(x -4) = -1/3 . . . . . . . use the equation for y on the line

  3(3x +2) = -(x -4) . . . . . . cross multiply

  10x = -2 . . . . . . . . . . add x - 6

  x = - 0.2 . . . . . . divide by 10

  y = 3(-0.2) +2 = 2 -0.6 = 1.4 . . . . . find y from the line's equation

The closest point is (-0.2, 1.4).

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The point on the curve closest to y = 3x + 2 is (3, 11).

The given equation is y = 3x + 2 and we have to find the point on the curve which is closest to the point (4,0).

Let (a, b) be a point on the curve y = 3x + 2. Then, the distance between the point (4,0) and the point (a, b) is given by: distance = sqrt((a - 4)² + (b - 0)²)

The value of a can be obtained by substituting y = 3x + 2 in the above equation and solving for a. distance = sqrt((a - 4)² + (3a + 2)²) = f(a)Let f(a) = sqrt((a - 4)² + (3a + 2)²)

Therefore, the point on the curve y = 3x + 2 which is closest to the point (4,0) is (3, 11).

Therefore, the required point is (3, 11).

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Answer is 6.00+0.20-9.40

3.2

or

6.00-0.20-9.40

3.2

Answer:3.2

Step-by-step explanation:

Step-by-step explanation:

if you draw an imaginary perpendicular line across the figure from the vertex which joins the line of 2 cm with the line that is making an angle of X then you can see that this figure is made up of two figures that is a triangle and a rectangle.

now from the angle given i.e X.

perpendicular= 5 cm

base = 14 -2= 12 cm

hypotenuse= ?

we know that,

h² = p²+b²

= 5²+12²=169

h= √169

h= 13

again,

cos X = b/h

= 12/13

Lucas's car dealerships' expected revenue over the next 3 days is $6800

The expected revenue is calculated using the following formula of expected value

\(E(x) = \sum x * P(x)\)

The data elements on the table are represented as:

Days        Revenue

0              3000

1               1800

2              1300

3               800

So, we have:

E(x) = 0 * 3000 + 1 * 1800 + 2 * 1300 + 3 * 800

Evaluate the sum of the products

E(x) = 6800

Hence, Lucas's expected revenue is $6800

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Answer:

A.

Step-by-step explanation:

To get to the answer, add both f(x) and g(x) together. This would be (2x^2 +3x -4) + (-4x^2 + 5x - 8). Remember that adding a negative number is the same as subtracting the positive of that number, for example, 3 + (-4) is the same as 3 - 4.

The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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bisects x = -12AB / (2AB - 6BD)

m∠ABC = 6x

= 6 × (-12AB / (2AB - 6BD))

To solve for x and find the measure of angle ABC (m∠ABC), we will apply the angle bisector theorem and use the given information.

According to the angle bisector theorem, the ratio of the lengths of the segments created by an angle bisector is equal to the ratio of the measures of the angles formed by the bisector.

Let's set up the equation using the given information:

m∠ABD = 6x (angle ABD)

m∠DBC = 2x + 12 (angle DBC)

Using the angle bisector theorem, we have:

AB/BD = m∠ABD/m∠DBC

Since BD bisects ∠ABC, we can substitute the given measures into the equation:

AB/BD = (6x) / (2x + 12)

To solve for x, we can cross-multiply:

AB × (2x + 12) = BD × (6x)

Expanding both sides of the equation:

2ABx + 12AB = 6BDx

Rearranging the equation:

(2AB - 6BD)x = -12AB

Now we can isolate x:

x = -12AB / (2AB - 6BD)

The measure of angle ABC (m∠ABC), we substitute the value of x back into the expression:

Simplifying this expression further would require additional information about the lengths of AB and BD.

Without this information, we cannot find the exact value of m∠ABC.

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we can write the Taylor series for f(x) = ln(1/x) using summation notation:

ln(1/x) = -∑[n=1 to ∞] (-1)ⁿ * (xⁿ)/n

The Taylor series for the function f(x) = ln(1/x) based at 0 can be found by using the basic Taylor series for the natural logarithm function ln(1 + x):

ln(1 + x) = x - (x²)/2 + (x³)/3 - (x⁴)/4 + ...

To obtain the Taylor series for f(x) = ln(1/x), we need to substitute x with -x in the above series:

ln(1 - x) = -x - (-x²)/2 - (-x³)/3 - (-x⁴)/4 + ...

However, we want the Taylor series for f(x) = ln(1/x) based at 0, so we need to flip the sign of each term in the series:

ln(1/x) = -x - (-x²)/2 - (-x³)/3 - (-x⁴)/4 + ...

Now, we can write the Taylor series for f(x) = ln(1/x) using summation notation:

ln(1/x) = -∑[n=1 to ∞] (-1)ⁿ * (xⁿ)/n

The largest open interval on which this series converges is (0, 1]. This is because the natural logarithm function ln(1/x) is only defined for positive values of x, and the Taylor series converges within the interval (0, 1].

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Given:

9 > d, if d = 3

To check if this statement is true, substitute d for 3.

We have:

9 > 3

Since 9 is greater than 3, this inequality statement can be said to be true.

ANSWER:

True

Answer:

Step-by-step explanation:

1.  none

because of 12 is not divisible by five

Answer:

Below in bold,

Step-by-step explanation:

a. There's is only one card that fits this description so

Probability = 1/52.

b. There are 2 black Kings so

Probability = 2/52 = 1/26.

c. There are 2 of these - 7 of diamonds and 7 of hearts

so

Probability = 2/52 = 1/26.

d.  There 13 diamonds and 13 hearts so

Probability = 26/52 = 1/2.

e.  There  26 black cards

Probability = 26/52 = 1/2.