Enter the data as given, on the sample Form 1040EZ below. (Do not enter dollar signs or commas.)
Enter a social security number. It is 039-29-7319.
Enter 000-00-0000 for Spouse's Social Security Number
On line 1 enter $5,000.00
On line 2 enter $50.00.
On line 4 enter the total of line 1 plus line 2.
On line 5 put an "x" at yes and enter one zero.
On line 6 enter the total from line 4.
On line 7 enter $757.50
On line 10 enter $5,050 x 0.15 = 757.5
On line 11a enter line 7 minus line 10.
On line 12 enter line 7 minus line 10.
Type "John" in the signature box. (Your name would normally go here.)

Answer:

y = -3x - 8.3

Step-by-step explanation:

You need to rearrange 9x + 3y = -22 in the form y = mx+c.

9x+3y = -22

3y = -9x - 22

y = -3x - 7.3

As long as the gradient is the same, the lines will be parallel. So you can give any number to the intercept (in this case I gave 8.3) and you will have parallel equations.

Final answer : y = -3x - 8.3

The equation of the line having the parallel graph will be;

⇒ Y = -3x + 8

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Given that;

The equation of line is,

⇒ 9x + 3y = - 22

Now,

Since,  The general form of the equation of the line:-

⇒ y = mx + b

Where, m = slope

b = y-intercept

And, Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

For the parallel lines, the slope of the two lines is always equal.

Here, The given equation will be written as,

⇒ 9x + 3y = -22

⇒ 3y = -9x -22

⇒ y = -3x - (22/3)

Let the equation of the graph is,

⇒ Y = -3x + 8

It has slope = m = dy/dx = - 3

Therefore, the equation of the line having the parallel graph is Y = -3x + 8.

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The complete question is,

Which equation has a graph parallel to the graph of 9x + 3y = -22 ?

A) Y = 3x – 22

B) Y = -3x + 8

C) Y = 1/3x + 12

D) Y = -1/3x – 2

The total number of outcomes that are possible are given as follows:

48 outcomes.

The number of outcomes for each case is obtained using the Fundamental Counting Theorem, with the multiplication of the number of outcomes for each trial.

The number of outcomes in each step is given as follows:

Hence the total number of outcomes that are possible are obtained as follows:

N = 6 x 8

N = 48.

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The value that is not reasonable for the true mean weight of the residents of the town is 193 pounds

Given that the mean weight is 187 pounds with a margin of error of 3 pounds, we can construct the interval as follows:

Mean weight - Margin of error = 187 - 3 = 184 pounds

Mean weight + Margin of error = 187 + 3 = 190 pounds

So, the reasonable range for the true mean weight of the residents of the town is between 184 and 190 pounds.

Now, let's evaluate the options to identify the value that falls outside this reasonable range:

A. 170 pounds - This value falls below the lower limit of the reasonable range (184 pounds). Therefore, it is not a reasonable value for the true mean weight.

B. 188 pounds - This value falls within the reasonable range of 184 to 190 pounds. It is a reasonable value.

C. 193 pounds - This value falls above the upper limit of the reasonable range (190 pounds). Therefore, it is not a reasonable value for the true mean weight.

D. 186 pounds - This value falls within the reasonable range of 184 to 190 pounds. It is a reasonable value.

E. 182 pounds - This value falls below the lower limit of the reasonable range (184 pounds). Therefore, it is not a reasonable value for the true mean weight.

From the options provided, the value that is not reasonable for the true mean weight of the residents of the town is 193 pounds.

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Answer: B

Step-by-step explanation: Hope this helps:)

Answer:

Option 1: negative infinity to infinity

Step-by-step explanation:

negative infinity to infinity

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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Answer:

Step-by-step explanation:

answer: terms

hope that is what you mean!

Answer:

1.75 meters² or 175 centimeters²

Step-by-step explanation:

Step 1: Find Area of the Base.

Step 2: Find the Area of the Triangles.

Step 3: Add the areas together.

Thus, the surface area is 1.75 m^2 or 175 cm^2.

Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.

Answer: An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

Answer:

A. x=3 2.3

B . x=8

C. x=i do not know.

D. x=26

Step-by-step explanation:

A. -3+2/3=2

-3+2/3=-2 1/3

-2 1/3+3 2/3.=2

B. -3-3n=1

-3-3=-6n

-6n+8=1

C i do not understand.

D. -3-v21=2

21√5

Decimal Form:

1.0796532

or -24=2

-24+26=2

The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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Answer:

A person (or institution) who invest the money or makes the funds available is called the lender or creditor.

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation: hope this helps you out

25=5x+35

Switch sides

5x+35=25

Subtract 35 from both sides

5x+35-35=25-35

Simplify

5x=-10

Divide both sides by 5

5x/5}=-10/5

x=-2

Answer:

The maximum number of hand-painted tiles that Greg can use to keep the total cost under $ 200 is 19.

Step-by-step explanation:

Since Greg is installing a tile floor in a room that is 10 feet long by 15 feet wide, and he will use 1-foot square tiles, and he has two different types of tile: plain and hand-painted, and plain tiles cost $ 0.79 per tile, while hand-painted tiles cost $ 5.00 per tile, to determine what is the maximum number of hand-painted tiles that Greg can use to keep the total cost under $ 200, the following calculation must be performed:

10 x 15 = 150

150 x 0.79 + 0 x 5 = 118.5

130 x 0.79 + 20 x 5 = 202.7

131 x 0.79 + 19 x 5 = 198.49

Therefore, the maximum number of hand-painted tiles that Greg can use to keep the total cost under $ 200 is 19.

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

Answer:

blue option

Step-by-step explanation:

4 times as many as the other

total of 1550 yards

x and y represent the individual players' yards rushed

y+x=1550

or

x+y=1500

and

y=4x

or

x=4y

the option we have is x+y=1500 and y=4x, which is option blue

Let x and y be the number of yards each team runned. In a way that y>x.

Combined they runned 1550 yards, so:

\(x+y=1550\)

And one of them is 4 times higher than the other, so:

\(x = 4\cdot y\)

So the system will be:

\(\begin{cases}x+y=1550 \\y = 4x \\\end{cases}\)

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

We cannot determine the probability that a newly selected adult is older than 62 because there is not much to do with the distribution other than the sample and standard deviation and skewness of the distribution.

Most US workers retire at 64, but data show that the average age varies by state. For example, the average retirement age in Washington, DC is about 67, while many states such as Iowa, Kansas, Maryland, Vermont, and Texas have the average retirement age of 65. 61 in Alabama, Kentucky and Michigan or Alaska and West Virginia.

The average probability of  retirement age has increased in recent years. In 1986, the average retirement age was 62 for men and 57 for women. From 2016, the average retirement age increased to 65 for men and 63 for women. Changes in SSI, reductions in workplace pensions, and even longer life expectancy can cause many to delay retirement for at least a few years.

Plus, with Social Security benefits averaging just $1,503 per month and declining pensions, seniors are expected to find their retirement savings and maximize their income spending. It will also cause them to postpone their holidays.

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Answer:

c

Step-by-step explanation:

1. The 80% insurance coverage on a property with a replacement value of $132,000 is $105,600.

2. If Garage constitutes 10% of the insurance coverage, its coverage is $9,265.

3. If the Loss on use is 20%, its insurance coverage is $20,400.

4. If the Personal Property coverage is 50%, its insurance coverage is $84,468.75.

    Replacement     Insurance     Coverage

          Value           Coverage      Amount

1.      $132,000           80%          $105,600 ($132,000 x 80%)

2.    $109,000            85%          $92,650 ($109,000 x 85%)

Garage Coverage = 10%

Insurance coverage = $9,265 ($92,650 x 10%)

3.    $127,500             80%        $102,000 ($127,500 x 80%)

Loss on use = 20%

Insurance coverage = $20,400 ($102,000 x 20%)

4.    $198,750             85%        $168,937.50 ($198,750 x 85%)

Personal Property coverage = 50%

Insurance coverage = $84,468.75 ($168,937.50 x 50%)

Thus, insurance coverage shows the amount the insurance company will pay to the insured in the event of loss and the premium is based on the amount of insurance coverage.

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Answer:

(90+65)/2

=75

so

(650+850)/2

=750

Answer:

The answer is x=3 and the extraneous is x=-1

Step-by-step explanation:

Answer: passes a horizontal AND vertical line test✅; no repeating x values✅

Step-by-step explanation:

To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.

Lastly, it can be a function if it has repeating y values.

Answer:

The sign that makes the sentence true is an equal sign, =.

Answer:

The probability of winning second prize in a 5/45 lottery is 1 in 8,145. This is calculated by taking the total number of possible combinations (8,145) and dividing it by the total number of possible outcomes (1).

Anna Whistler's age would be 66 years.

The equation that can be used to represent the information in the question is: a + 1/2a + 1/3a + (3 x 3) = (20 x 6) + 10

Where a is Anna Whistler's age

a + 5/6a + 9 = 130

15/6a = 130 - 9

1 5/6a = 121

a = 121 x 6/11

a = 66 years

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Anna Whistler's age according to the riddle would be 66 years.

From the given information in the question, the linear equation that will represent the given expression will be:

a + 1/2a + 1/3a + (3 x 3) = (20 x 6) + 10

Collecting the like terms

a + 5/6a + 9 = 130

Subtract 9 from both sides

1 5/6a + 9 - 9 = 130 - 9

1 5/6a = 121

a = 121 x 6/11

a = 66 years

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Answer:

About "95% of the attendance around the average is between" 22722 and 60482.

Step-by-step explanation:

The key to answering this question is the application of the 68-95-99.7 rule. It is a rule that "tells us" that data that follow a normal distribution approximately:

\( \\ P(\mu - 1\sigma \leq X \leq \mu + 1\sigma) = 0.6827 \approx 0.68\) [1].

\( \\ P(\mu - 2\sigma \leq X \leq \mu + 2\sigma) = 0.9545 \approx 0.95\) [2].

\( \\ P(\mu - 3\sigma \leq X \leq \mu + 3\sigma) = 0.9973 \approx 99.7 \) [3].

The two parameters that characterized the normal distribution are the mean, \( \\ \mu\), and the standard deviation, \( \\ \sigma\).

In this case, we have:

According to the 68-95-99.7 rule above explained, we know that the "95% of the attendance around the average" is two standard deviations, \( \\ \sigma\), above and below the mean, \( \\ \mu\).

Then, using [2], we have:

\( \\ P(\mu - 2\sigma \leq X \leq \mu + 2\sigma) = 0.9545 \approx 0.95\) [2].

\( \\ P(41602 - 2*9440 \leq X \leq 41602 + 2*9440) = 0.9545 \approx 0.95\).

\( \\ P(41602 - 18880 \leq X \leq 41602 + 18880) = 0.9545 \approx 0.95\).

\( \\ P(22722 \leq X \leq 60482) = 0.9545 \approx 0.95\).

Therefore, about "95% of the attendance around the average is between" 22722 and 60482.

Notice that we approximate the values using the 68-95-99.7 rule, which is a good approximation and sufficient for practical uses. However, if we want to know exactly the 95% of the attendance around the average, we can calculate it using the formula for z-score (which, roughly speaking, "tell us" the distance from the mean in standard deviations units of a normally distributed value):

\( \\ z = \frac{x - \mu}{\sigma}\) [4]

A positive value of z indicates that x is above the mean and a negative that x is below the mean.

Since the normal distribution is symmetrical around the mean, we can divide the 95% of probability in two equal parts. One above the mean, \( \\ \frac{0.95}{2} = 0.475\), and the other below the mean \( \\ \frac{0.95}{2} = 0.475\)

If we consult the cumulative standard normal table from the mean (0 to Z), the value for z, in this case, is \( \\ z = 1.96\), because for a probability of 0.475, the value of z = 1.96. Remember that the standard normal normal distribution has a \( \\ \mu = 0\) and \( \\ \sigma = 1\). That is why the interval is from 0 (mean) to the value of Z.

Therefore, solving [4] for x, for an exactly value of 95% of the attendance around the average is between:

Upper value

The value is above the mean:

\( \\ 1.96 = \frac{x - 41602}{9440}\)

\( \\ (1.96 * 9440) + 41602 = x\)

\( \\ x = (1.96 * 9440) + 41602\)

\( \\ x = 60104.40 \approx 60104\)

Lower value

The value is below the mean:

\( \\ -1.96 = \frac{x - 41602}{9440}\)

\( \\ x = (-1.96 * 9440) + 41602\)

\( \\ x = 23099.60 \approx 23100\)

Or an exactly value of 95% of the attendance around the average is between 23100 and 60104. Notice that the question gives us options using the 68-95-99.7 rule, that is, 22722 and 60482, which are also valid (with less precision).

The below graphic shows the previous result (which is very similar to that obtained using the 68-95-99.7 rule.)