Lois James' W-2 form is shown below.
રરરરર
1 Employed and code
PA
667438991
Acme, Inc
123 Man Street
Philadelphia, PA 19146
Lou James
632 Dodge Street
Philadelphia, PA 19145
Wage and Tax
Empre
471-29-2525
35-5427864
foW-2 Statement
Copy 1-For State, City, or Local Tax Department
A. $2018.40
D. $472.04
B. $32,554.76
C. $4465.71
32,554 76
999 43
2010
32,554 76
32,554 76
32.554 76
060
16 Laps
32,554 76
12e
the
124
4465 71
2018 40
Macato all
472 04
Department of the y
1400 18
How much did Lois have withheld from her yearly pay for Social Security?
20 Locatty cam
PHIL
ne Service

Step-by-step explanation:

To prove analytically that AC is not perpendicular to BC, we can use the slope-intercept form of the equation of a line.

First, let's calculate the slopes of the two lines AC and BC. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:

m = (y2 - y1) / (x2 - x1)

For line AC:

AC: A(-5, 8) and C(-3, -2)

m_AC = (-2 - 8) / (-3 - (-5))

= (-2 - 8) / (-3 + 5)

= -10 / 2

= -5

For line BC:

BC: B(3, 2) and C(-3, -2)

m_BC = (-2 - 2) / (-3 - 3)

= (-2 - 2) / (-3 + 3)

= -4 / 0

The slope of line BC is undefined (division by zero), indicating that it is a vertical line.

Since the slopes of AC and BC are not negative reciprocals of each other (as required for two lines to be perpendicular), we can conclude that AC is not perpendicular to BC.

Therefore, AC is not perpendicular to BC analytically.

Answer:

( D ) x = 6

Hope this helps !! :)

The area of polygon j is approximately 59.81 units.

To determine the area enclosed by each polygon, we first need to identify the shape of the polygon and its dimensions.

Once we have this information, we can use the formula for finding the area of that particular shape.

a. From the given diagram, we can see that polygon a is a rectangle with a length of 5 units and a width of 3 units.

The formula for finding the area of a rectangle is A = l x w, where A is the area, l is the length, and w is the width.

Substituting the values, we get:
A = 5 x 3 = 15 units

Therefore, the area of a polygon a is 15 units.

b. Polygon b is a triangle with a base of 5 units and a height of 4 units.

The formula for finding the area of a triangle is A = (1/2) x b x h, where A is the area, b is the base, and h is the height.

Substituting the values, we get:
A = (1/2) x 5 x 4 = 10 units

Therefore, the area of polygon b is 10 units.

c. Polygon c is a trapezoid with a height of 3 units, a base of 6 units, and a top base of 4 units.

The formula for finding the area of a trapezoid is A = (1/2) x (b1 + b2) x h, where A is the area, b1 and b2 are the lengths of the bases, and h is the height.

Substituting the values, we get:
A = (1/2) x (6 + 4) x 3 = 15 units

Therefore, the area of polygon c is 15 units.

d. Polygon d is a parallelogram with a base of 4 units and a height of 3 units. The formula for finding the area of a parallelogram is A = b x h, where A is the area, b is the base, and h is the height. Substituting the values, we get:
A = 4 x 3 = 12 units

Therefore, the area of polygon d is 12 units.

e. Polygon e is a kite with a diagonal of 6 units and a diagonal of 4 units.

The formula for finding the area of a kite is A = (1/2) x d1 x d2, where A is the area, d1 and d2 are the lengths of the diagonals.

Substituting the values, we get:
A = (1/2) x 6 x 4 = 12 units

Therefore, the area of polygon e is 12 units.

f. Polygon f is a square with a side length of 3 units. The formula for finding the area of a square is A = s^2, where A is the area and s is the length of a side.

Substituting the value, we get:
A = 3^2 = 9 units

Therefore, the area of polygon f is 9 units.

g. Polygon g is a rhombus with diagonals of 4 units and 6 units.

The formula for finding the area of a rhombus is A = (1/2) x d1 x d2, where A is the area and d1 and d2 are the lengths of the diagonals. Substituting the values, we get:
A = (1/2) x 4 x 6 = 12 units

Therefore, the area of polygon g is 12 units.

h. Polygon h is a regular hexagon with a side length of 2 units.

The formula for finding the area of a regular hexagon is A = (3√3/2) x s^2, where A is the area and s is the length of a side.

Substituting the value, we get:
A = (3√3/2) x 2^2 = 6√3 units

Therefore, the area of polygon h is 6√3 units.

i. Polygon i is a regular octagon with a side length of 3 units.

The formula for finding the area of a regular octagon is A = 2(1+√2) x s^2, where A is the area and s is the length of a side. Substituting the value, we get:
A = 2(1+√2) x 3^2 = 54 + 36√2 units

Therefore, the area of polygon i is 54 + 36√2 units.

j. Polygon j is a regular pentagon with a side length of 5 units. The formula for finding the area of a regular pentagon is A = (1/4) x √(5(5+2√5)) x s^2, where A is the area and s is the length of a side. Substituting the value, we get:
A = (1/4) x √(5(5+2√5)) x 5^2 ≈ 59.81 units

Therefore, the area of polygon j is approximately 59.81 units.

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To determine the radius of convergence (R) and the interval of convergence for the given power series, we can use the ratio test.  The ratio test states that for a power series Σ aₙ(x - c)ⁿ, if the limit as n approaches infinity of |aₙ₊₁ / aₙ(x - c)| is L, then the series converges if L < 1 and diverges if L > 1.

In this case, the power series is given by Σ -(x + 3)ⁿ (-6)ⁿ √n, where c = -3.

Applying the ratio test, we have:

|(-(x + 3))ⁿ₊₁ (-6)ⁿ₊₁ √(n+1) / (-(x + 3))ⁿ (-6)ⁿ √n|

= |-6 √(n+1) / ((x + 3) √n)|

= 6 √(n+1) / ((x + 3) √n)

Taking the limit as n approaches infinity, we get:

L = lim(n→∞) (6 √(n+1) / ((x + 3) √n))

= 6 / (x + 3)

For the series to converge, we need L < 1, so:

6 / (x + 3) < 1

6 < x + 3

x > 3

Therefore, the radius of convergence is R = infinity (inf) and the interval of convergence is (3, ∞) in interval notation.

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The z-score for the French test score of 82 is 1.25.

To calculate the z-score for the French test score of 82, we can use the formula:

z = (x - μ) / σ

where:

x is the individual score (82 in this case)

μ is the mean of the French exam scores (72)

σ is the standard deviation of the French exam scores (8)

First, let's calculate the difference between the individual score and the mean:

82 - 72 = 10

Next, we divide this difference by the standard deviation:

10 / 8 = 1.25

The z-score measures the number of standard deviations an individual score is from the mean.

The French test score of 82 is 1.25 standard deviations above the mean. This indicates that the score is relatively higher compared to the average performance of the students in the French exam.

The positive z-score suggests that the student performed above average on the French test.

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To calculate the salesperson's commission as a percent of the total monthly sales, follow these steps:

Sales Totals x Commission Percentage divided by Number of Salespeople = Commission Total Per Person.

1. Find the total sales for both months: $84,784 (April) + $107,270 (May) = $192,054.
2. Given that the total commission earned is $4,865, divide the commission by the total sales: $4,865 ÷ $192,054 ≈ 0.0253.
3. Convert the decimal to a percentage: 0.0253 × 100% = 2.53%.

The salesperson's commission is approximately 2.53% of the total monthly sales.

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The solution to the system of equation is (7/5, 22/5)

Given the system of equation as shown below;

4x + y = 10 * 2

3x - 2y = 13 * 1

_____________

8x + 2y = 20

3x - 2y = 13

Subtract

8x - 3x = 20 - 13

5x = 7

x = 7/5

Substitute the value of x into any of the equation

4x + y = 10

4(7/5) + y = 10

28/5 + y = 10

y = 10 - 28/5

y = 22/5

Hence the solution to the system of equation is (7/5, 22/5)

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Answer: 2.666666etc..

Step-by-step explanation:

Answer:

2.64

Step by step explanation

4/9=0.44

0.44×6=2.64

Answer:

r = 0.84

Step-by-step explanation:

The mean reading time obtained with the stopwatch measurements was 4.34 ± 0.57 seconds (196.21 ± 21.79 wpm), versus 4.44 ± 0.59 seconds (192.24 ± 22.20 wpm) by computer measurement (r = 0.84).

Answer:

Yes, they are.

Step-by-step explanation:

They are both obtuse triangles. They may be different sizes but they are the same.

The conclusion in the argument is "the good, according to Plato, is that which furthers a person's real interests." which it is the correct answer.

In a well-structured argument, the conclusion is what the argument aims to prove.

The conclusion can be located at the beginning or end of the argument, and it should always be precise, clear, and understandable.

The conclusion in the argument above is that "the good, according to Plato, is that which furthers a person's real interests."

The argument tries to explain that the good in Plato's philosophical teachings is a thing that advances a person's genuine interests.

The statement "it follows that" is the premise that links the argument with the conclusion.

The premise and the conclusion have a relationship of cause and effect, and this implies that the argument's conclusion is "the good, according to Plato, is that which furthers a person's real interests."

Therefore, the right option is: the good, according to Plato, is that which furthers a person's real interests.

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The probability that both marbles drawn will be green is 16.4%.

The probability of drawing a green marble on the first draw is 8/19.

Since there are no replacements, the probability of drawing another green marble on the second draw is 7/18 (since there are now only 18 marbles left in the bag, including 7 green marbles).

Therefore, the probability of drawing two green marbles in a row is:

(8/19) × (7/18)

= 56/342

To convert this to a percentage, we can divide 56 by 342 and multiply by 100:

(56/342) × 100 = 16.37%

Therefore, the probability that both marbles drawn will be green is 16.4%.

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Answer:

3°C > - 2°C

Step-by-step explanation:

Ice cream 1 = - 2°C

Ice cream 2 = 3°C

Lower temperatures are colder (cooler) than higher temperature values.

Hence, ice cream at - 2°C is cooler than ice cream at 3°C.

Hence, a temperature of 3°C is higher (greater) than - 2°C. Hence - 2°C is cooler (colder) than 3°C

Hence,

3°C > - 2°C

In a right angled triangle ABC, if angle A

= 30 degree and AB = 8 cm then the length of side BC is equals to the 4.62 cm.

As we see in figure, ∆ABC is an right angled triangle with side length of AB

= 8 cm and measure of angle A = 30°. Measure of angle B is 90°. So, measure of angle C = 180° - 90° - 30°

= 69°. So, AB is the opposite side for the angle C, AC is the opposite side for the angle B and BC opposite side for the angle A. We have to determine the length of side BC. Using the Trigonometric functions, tan x = height / base length

In ∆ABC, tan A = BC/AB

=> tan(30°) = BC/8

=> 1/√3 = BC/8 ( tan(30°) = 1/√3)

=> BC = 8/√3 = 4.62

Hence, required length of side BC is 4.62 cm.

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Complete question:

In triangle ABC, angle A=30 degrees and AB =8cm. Find the length of side BC? see the above figure.

Answer:

\(\triangle OPR \cong \triangle QRP\) as per AAS congruence.

Step-by-step explanation:

We are given two triangles \(\triangle OPR \ and\ \triangle QRP\).

Side OP is parallel to Side QR.

OP || QR

\(\angle O = \angle Q\)

To prove:

The two triangles are congruent i.e. \(\triangle OPR \cong \triangle QRP\)

Solution:

Let us have a look at the triangles:

\(\triangle OPR \ and\ \triangle QRP\)

1. Given that \(\angle O = \angle Q\).

2. Side OP || RQ so, \(\angle OPR = \angle QRP\) because they are the alternate angles of parallel sides. (Alternate angels are equal when a line cuts two parallel sides).

3. Side PR is common to both the sides i.e. PR = RP

Hence, by AAS congruence i.e. two angles and a side which is not between the two angles are same.

\(\therefore \triangle OPR \cong \triangle QRP\) as per AAS congruence.

The probability of losing less than $72 in total is 0.68.

To find the probability of losing less than $72 in total, we need to first calculate the expected loss for each game and then use the law of total probability to find the overall probability.

First, let's calculate the expected loss for each game. The expected loss for the first game is 36 * -2 = -72, and the expected loss for the second game is 50 * -1.5 = -75.

Now, we need to use the law of total probability to find the overall probability of losing less than $72 in total. The law of total probability states that the probability of an event occurring is the sum of the probabilities of the event occurring under each possible condition. In this case, the possible conditions are losing less than $72 in the first game and losing less than $72 in the second game.

So the overall probability of losing less than $72 in total is:

P(losing less than $72) = P(losing less than $72 in first game) + P(losing less than $72 in second game) - P(losing less than $72 in both games)
= (36/100) + (50/100) - (36/100) * (50/100)
= 0.36 + 0.5 - 0.18
= 0.68

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Answer:

e 125x

f 125 x 12 =150

Step-by-step explanation:

since r is so widely used, it is appropriate to calculate r for nonlinear data: False.

The calculation of r (Pearson's correlation coefficient) is based on the assumption that the relationship between the two variables is linear. Therefore, it is not appropriate to calculate r for nonlinear data as it may give misleading results.

In summary, it is not appropriate to calculate r for nonlinear data as it assumes a linear relationship between the variables. Other methods such as Spearman's rank correlation or Kendall's tau may be used for nonlinear data.


n: The correlation coefficient 'r' is specifically designed to measure the strength and direction of a linear relationship between two variables. While it is widely used, calculating 'r' for nonlinear data is not appropriate, as it will not accurately capture the true nature of the relationship between the variables.

When dealing with nonlinear data, it is better to use other statistical methods designed for such data, rather than relying on the correlation coefficient 'r'.

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With the help of probability we can conclude our answer.

acc to our question-

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Answer:

-3, 3, 9

Step-by-step explanation:

Answer on Edge

Answer:

3

Step-by-step explanation:

9/3 = 3

b is 3 times more than a

The quotient and remainder of the long division of the polynomials are  7x+1 and -6x-1

Polynomial long division is a method used for dividing a polynomial by another polynomial of the same or lower degree

Given: (7x³+x²+x) ÷ (x²+1)

In order to divide the polynomials arrange them as shown below:

       ......7x + 1................

x²+1 | 7x³+x²+x                  

       |...7x³+7x...........

       |        x²-6x

       |..........x²+1....

       |          -6x-1

Step 1: Divide 7x³ by x² that gives 7x, put it at the top

Step 2: Use the 7x to multiply (x²+1) and add to put value obtained under 7x³+x²+x

Step 3: Eliminate by subtracting 7x³+7x from 7x³+x²+x

Step 4: Divide x² (in x²-6x) by x², this gives 1, and add it to the top. Repeat step 2

Therefore, the long division of (7x³+x²+x) ÷ (x²+1) gives a quotient of 7x+1 and remainder of -6x-1

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The correct option is option b) subjectively divide the 20 plots into 10 pairs (making the plots within a pair as similar as possible) and then, for each pair, flip a coin to assign the fertilizers to the 2 plots.

A sort of probability called subjective probability is one that is based on a person's subjective assessment or personal knowledge of the likelihood of a particular result. It doesn't use facts or formal computations; instead, it merely includes the subject's ideas and prior experience.

A subjective likelihood varies from person to person and is not based on previous facts or market data. In other words, it is not founded on reality but rather is the result of an individual's opinion.

In the majority of probability theories, quantifiable data is evaluated to ascertain the likelihood of an event occurring. However, subjective probability lacks a formal calculation, is influenced by human ideas, and is not based on quantitative data.

Therefore, The correct option is option b) subjectively divide the 20 plots into 10 pairs (making the plots within a pair as similar as possible) and then, for each pair, flip a coin to assign the fertilizers to the 2 plots.

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answer:

\(x - y =4\)

steps shown below:

Any value of x that is less than 400 dollars will satisfy this inequality and will represent the amount of money Ron can spend on the rental car.

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).

The inequality that models the amount of money Ron can spend on the rental car is:

x < 400

This inequality means that the value of x (the amount of money Ron can spend) is less than 400 dollars. The symbol "<" indicates that the value of x must be less than 400, which means that Ron cannot spend more than 400 dollars on the rental car.

So, any value of x that is less than 400 dollars will satisfy this inequality and will represent the amount of money Ron can spend on the rental car. For example, if Ron decides to spend $350, then the value of x would be 350, which is less than 400 and satisfies the inequality.

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The probability of the center of a circle being contained within a randomly formed triangle using three points along its perimeter is 1/4 or 25%. This probability remains the same for any size of the circle.

The probability that the center of the circle is contained within the triangle formed by selecting three random points along its perimeter is 1/4 or 25%. This is because any triangle that contains the center of the circle must have all of its vertices on the circumference of a smaller circle with half the radius of the original circle. The probability of selecting three random points on the circumference of this smaller circle is 1/4 or 25%.

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The population mean and  population standard deviation for the given sample data from a normal population is  10 and 3.46 respectively.

Sample data is equal to,

10, 8, 12, 15, 13, 11, 6, 5

The point estimate of the population mean can be calculated by finding the sample mean,

sample mean 'x' = (10 + 8 + 12 + 15 + 13 + 11 + 6 + 5) / 8

                           = 10

The point estimate of the population mean is 10.

The point estimate of the population standard deviation can be calculated by finding the sample standard deviation,

Sample variance

= [ Σ ( xi - x )^2 / ( n - 1 ) ]

= [(10 - 10)^2 + (8 - 10)^2 + (12 - 10)^2 + (15 - 10)^2 + (13 - 10)^2 + (11 - 10)^2 + (6 - 10)^2 + (5 - 10)^2] / (8 - 1)

= 0 + 4 + 4 + 25 + 9+ 1 + 16 + 25 / 7

= 84/7

=12

⇒Sample standard deviation = √(sample variance)

⇒Sample standard deviation= √(12)

⇒Sample standard deviation≈ 3.46

The point estimate of the population standard deviation is approximately 3.46.

Therefore, the population mean and the population standard deviation is equals to 10 and 3.46 respectively.

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Answer:

1.125 =x

Step-by-step explanation:

We can use ratios to find the  time

We want to find the time needed to finish

1 - 2/5 = 3/5  We need the time for 3/5 of the project

3/4 hours        x hours

---------------- = --------------

2/5 project       3/5 project

Using cross projects

3/4 * 3/5 = 2/5 * x

9/20 = 2/5x

Multiply each side by 5/2

9/20 * 5/2 = x

9/8 = x

1 1/8 =x

1.125 =x