Mr. Nussbaum is recording the payroll taxes for his employees for their two-week paycheck.The table shows the income of each employee. Complete the table below to determine the amountdeducted for each tax and their net income.NAMEGROSS INCOME1% MEDICARENET INCOME6% SOCIALSECURITYTOTAL TAXESWITHHELD3SANTIAGO$18.00 $129.50 11,7201999.ins.- 91 302PETER$1,850.00$1,400.00$2,000.00$950.00784.4014.JASMINEROYCE

Answer:

\(\sqrt{2}\)

Step-by-step explanation:

Angle θ is in standard position and (4,4) is a point on the terminal side of θ.

\(\text{Opposite of }\theta =4 \\\text{Adjacent of }\theta =4 \\$Using Pythagoras Theorem\\Hypotenuse^2=$Opposite^2$+Adjacent^2\\$Hypotenuse^2=4^2+4^2\\$Hypotenuse^2$=32\\Hypotenuse=\sqrt{32}=4\sqrt{2}\)

Now, secant is the inverse of cosine.

Therefore:

\(\sec \theta =\dfrac{Hypotenuse}{Adjacent} \\\sec \theta =\dfrac{4\sqrt{2}}{4} \\\sec \theta =\sqrt{2}\)

Answer:

2b

Step-by-step explanation:

easy

Answer:

sorry if i read tht wrong but i think its 2b

Step-by-step explanation:

Answer:

Answer: 0, 1, 1, 2, 2, 4, 5, 6, 7, 0, 8, 9

Step-by-step explanation:

1. Start by writing five digits less than 3: 0, 1, 1, 2, 2

2. Then write four digits greater than 3: 4, 5, 6, 7

3. Finally, add three more digits of any value: 0, 8, 9

Answer:

3,2,1,4

Step-by-step explanation:

Answer:

-5,2

Step-by-step explanation:

make one side equal zero, x2 + 3x - 10

use guess and check to reverse foil and find (x+5)(x-2)

solve and get x = -5 , 2

Answer (it has two solutions):

I hope this helps!

Step 1

Pick two consecutive points and find the equation of a straight line.

(7,-1) and (5,0)

Equation of a straight line

y = mx + c

for (7,-1)

-1 = 7m + c ....................... equation 1

for (5,0)

0 = 5m + c ...................... equation 2

make c subject of relation from equation 2

c = -5m

Substitute c in equation 1

-1 = 7m - 5m

-1 = 2m

m = -1/2

c = -5(-1/2)

c = 5/2

From the equation above, the table shows a linear function.

Every x input in the equation, give the correct y output.

Answer: 1260 books

Step-by-step explanation:

2/5=0.4

19000x0.4=7600

12500x0.4=5000

7600+5000=12600

1/10=0.1

12600x0.1 = 1260

/Answer:

1,260 books (or C)

Step-by-step explanation:

1. 2/5 of fiction (12,500) are out, so 5,000 are out

2. 2/5 of non-fiction (19,000) are out, so 7,600 are out

3. Total books checked out are 12,600

4. 1/10 of checked out books are due this week, so 1,260 books (10%)

Step-by-step explanation:

Data shows their 1970's models hold their value quite well. The value F(x) of one of these cars is 15x given by F(x) = 85 - where x is the number of years.

The resale price of the car is stated as F(x) = 20x + 55, where x is the number of years from repurchase and F is in hundreds of dollars. Hence, the car's initial selling price is $5500.

The price at which an item or service is sold to a consumer is referred to as the selling price. It is the amount of money received by a seller in exchange for a product or service. Factors such as production costs, supply and demand, competition, and market circumstances can all influence the selling price. It is a crucial factor to consider for firms because it can impact profitability and market share.

The resale price of the car is stated as F(x) = 20x + 55, where x is the number of years from repurchase and F is in hundreds of dollars.

To determine the car's initial resale price, enter x = 0 into the algorithm.

F(0) = 20(0) + 55 F(0) = 55

Therefore, the initial resale price of the car is $5500.

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Your question is incomplete, most probably the complete question is:

Junker Renovation completely overhauls junked or abandoned cars. Data shows their 1970's models hold their value quite well. The value F(x) of one of these cars is 20x given by F(x) = 55 - where x is the number of years since repurchase and F is in hundreds of dollars. x+1' Step 1 of 3: What is the initial resale price of the car?

The objective of the study is determine the mean amount of time a client exercises in the center each weak. Therefore, the variable of the study is 5: X = the amount of time one client spends exercising in the fitness center each week.

Thus, the investigated population is 4: All the clients at the fitness center, while the sample must be 2: A group of clients at the fitness center.

Considering this population and sample, the data that we're interested in extract is 1: The amount of time spent exercising by clients in the fitness center each week. Then, the parameter obtained from the data might be 3: The mean amount of time clients spend exercising in the fitness center each week in the sample, while the aimed statistic is 6:The mean amount of time clients spend exercising in the fitness center each week.

Answer:

Population: 4

Sample: 2

Variable: 5

Statistic: 6

Parameter: 3

Data: 1

Answer:

Souta made his first error in Step 3, where he found the differences between each score and the mean. He did not find the absolute values of these differences, which means he did not calculate the mean absolute deviation correctly.

Answer:

1 and two-thirds yards

Step-by-step explanation:

5⅓ = 3⅔ + y. Subtract 3⅔ from both sides.

It may be useful to use improper fractions.

16/3 – 11/3 = y

5/3 = y

5/3 is equivalent to 1⅔

Answer:

First one

Step-by-step explanation:

If you are running a camp of 30students,

\(C(30,4) * C(26,6) = \frac{30!}{(4!*26!)}*\frac{26!}{(6!*20!)}\\\\ =27405*230230\\\\ =6309453150 \)

number of ways John and Jane are in the same group,

\(=C(28,4) * C(24,4) = 20475*10626\\\\ =217567350 \)

therefore, number of ways they both are not in same group

\(=6309453150-217567350\\\\ =6091885800 \)

probability that John and Jane are not in the same group

\(=\frac{6091885800}{6309453150}\\\\ =0.9655 \)

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Answer:

0.07809

Step-by-step explanation:

all do is multiply it and you will get your anwer.

Answer:

they are really different

The length of the third side is 2√34 + 6.

We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let x be the length of the third side. Then we have:

2√34 + 6 > x

Subtracting 6 from both sides, we get:

2√34 > x - 6

Adding 6 to both sides, we get:

x < 2√34 + 6

Therefore, the length of the third side must be less than 2√34 + 6.

To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:

2√34 + 6 = x

If this is true, then the given sides can form a triangle.

Simplifying the equation, we get:

x = 2√34 + 6

The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.

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Answer:

6÷2 1/3

Step-by-step explanation:

Answer:

1, 2, 3, 6

Step-by-step explanation:

Factors are numbers that divide evenly into another number.

Answer:

There is approximately 17% chance of a person not having a disease if he or she has tested positive.

Step-by-step explanation:

Denote the events as follows:

D = a person has contracted the disease.

+ = a person tests positive

- = a person tests negative

The information provided is:

\(P(D^{c})=0.95\\P(+|D) = 0.98\\P(+|D^{c})=0.01\)

Compute the missing probabilities as follows:

\(P(D) = 1- P(D^{c})=1-0.95=0.05\\\\P(-|D)=1-P(+|D)=1-0.98=0.02\\\\P(-|D^{c})=1-P(+|D^{c})=1-0.01=0.99\)

The Bayes' theorem states that the conditional probability of an event, say A provided that another event B has already occurred is:

\(P(A|B)=\frac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A^{c})P(A^{c})}\)

Compute the probability that a random selected person does not have the infection if he or she has tested positive as follows:

\(P(D^{c}|+)=\frac{P(+|D^{c})P(D^{c})}{P(+|D^{c})P(D^{c})+P(+|D)P(D)}\)

              \(=\frac{(0.01\times 0.95)}{(0.01\times 0.95)+(0.98\times 0.05)}\\\\=\frac{0.0095}{0.0095+0.0475}\\\\=0.1666667\\\\\approx 0.1667\)

So, there is approximately 17% chance of a person not having a disease if he or she has tested positive.

As the false negative rate of the test is 1%, this probability is not unusual considering the huge number of test done.

Mean (X + Y) = Mean (X) + Mean (Y).

The above statement is false.

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Probability Distributions of Discrete Random Variables:

Probability distributions of discrete random variables list the probabilities associated with each possible outcome. Also called probability function or probability mass function.

The probability of a discrete random variable is between 0 and 1. Also, the sum of the probabilities of a discrete random variable is equal to 1. The probability distribution of discrete random variables resembles the normal distribution.

Example:

Suppose two dice are rolled and a random variable X is used to represent the sum of the numbers. The minimum value of X goes from result 1 + 1 = 2 to 2 and the maximum value goes from result 6 + 6 = 12 to 12. Therefore, X can have any value between 2 and 12 (inclusive). If probabilities are assigned to each outcome, we can determine the probability distribution of X.

Discrete random variables should not be confused with algebraic variables. Algebraic variables represent the values ​​of unknown quantities in computable algebraic equations. However, a discrete random variable can have a range of possible values ​​that result from experimentation.

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There were 14 players on the soccer team.

In the given problem, the members of a soccer team raised $1210.50 to go to a tournament. They rented a bus for $769.50 and budgeted $31.50 per player for meals. We need to find how many players were on the team.To solve this problem, we can start by subtracting the cost of the bus rental from the total amount raised by the team:$1210.50 - $769.50 = $441Now, we can divide this remaining amount by the amount budgeted per player for meals:$441 ÷ $31.50 = 14Therefore, there were 14 players on the soccer team. We can check our answer by multiplying the number of players by the amount budgeted per player for meals:14 x $31.50 = $441This is equal to the remaining amount after the bus rental was paid, which confirms that our answer is correct.

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Answer:

y = 5/4x - 8

Step-by-step explanation:

first you convert the equation to y = mx + b

then you add the the -8 into the x and the 2 into the y and solve for b

b = -8 and since it is parallel same slope.

hope this helps :)

Answer:

500 ft

Step-by-step explanation:

Perimeter: The total border of the outside of a given shape

Step 1: Find missing length

100 - 80 = 20 ft

Step 2: Add all together

100 + 150 + 80 + 85 + 65 + 20 = 500 ft

So we would need 500 ft of fence to border her yard completely.

Answer:

x = -1

Step-by-step explanation:

15+3x=3(2−2x)

Distribute

15+3x = 6 -6x

Add 6x to each side

15+3x+6x = 6-6x+6x

15+9x = 6

Subtract 15 from each side

15-15+9x = 6-15

9x = -9

Divide by 9

9x/9 = -9/9

x = -1

Answer:

v=15

Step-by-step explanation:

31+4v+44=9v

Answer:

v = 15

Step-by-step explanation:

By exterior angle theorem:

9v° = 31° + (4v + 44)°

9v° = (4v + 44 + 31)°

9v = 4v + 75

9v - 4v = 75

5v = 75

v = 75/5

v = 15

Answer:

47.12 so 47.10

Step-by-step explanation:

The measure of the arc AT in this problem is given as follows:

mAT = 159º.

The measure of arc AT is obtained applying the two secant theorem, which states the angle measure of intersection of the two secant segments is half the difference of the measure of the far arc by the measure of the near arc.

The parameters for this problem are given as follows:

Hence the measure of the arc AT in this problem is given as follows:

(mAT - 59)/2 = 50

mAT - 59 = 100

mAT = 159º.

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According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

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Answer:

See Explanation

Step-by-step explanation:

The question has missing details as no link is provided to the "question 3".

However, I'll give a worked solution on how to calculate the equation of a regression line.

Using the following data:

\(\begin{array}{cc}x & {y} & {43} & {99} & {21} & {65} \ \\ {25} & {79} & {42} & {75} \ \end{array}\)

Calculate the equation of the regression line.

The equation is calculated using:

\(y = mx + b\)

Where:

\(m = \frac{n(\sum xy ) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}\)

and

\(b = \frac{(\sum y)(\sum x^2) - (\sum x)(\sum xy)}{n(\sum x^2) - (\sum x)^2}\)

So, first we fill in the table with columns x^2, y^2 and xy

\(\begin{array}{ccccc}x & {y} & {xy} & {x^2} & {y^2 }& {43} & {99} & {4257} & {1849} & {9801} & {21} & {65} &{1365} &{441} & {4225}\ \\ {25} & {79} & {1975} & {625} & {6241}& {42} & {75} &{3150} & {1764} & {5625}\ \end{array}\)

From the above table.

\(\sum x = 43+21+25+42\)

\(\sum x = 131\)

\(\sum y = 99+65+79+75\)

\(\sum y = 318\)

\(\sum xy = 4257+1365+1975+3150\)

\(\sum xy = 10747\)

\(\sum x^2 = 1849 + 441 + 625 + 1764\)

\(\sum x^2 = 4679\)

\(\sum y^2 = 9801 + 4225 + 6241 + 5625\)

\(\sum y^2 = 25892\)

\(n =4\)

Solving for m

\(m = \frac{n(\sum xy ) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}\)

\(m = \frac{4 * 10747 - 131*318}{4*4679 -(131)^2}\)

\(m = \frac{1330}{1555}\)

\(m = 0.86\) --- approximated

Solving for b

\(b = \frac{(\sum y)(\sum x^2) - (\sum x)(\sum xy)}{n(\sum x^2) - (\sum x)^2}\)

\(b = \frac{318*4679 - 131*10747}{4*4679-131^2}\)

\(b = \frac{80065}{1555}\)

\(b = 51.49\)

The equation becomes:

\(y = mx + b\)

\(y = 0.86x + 51.49\)

Apply the above steps and you will arrive at a solution.