Because her standard deduction is greater than the amount she made, it turns out that Susan never owed taxes. How large of a refund should she expect from the Federal government if she follows through on filing her 1040 form?

Answers

Answer 1

Based on the information, it can be inferred that Susan can receive a 100% refund of the taxes that were erroneously charged to her.

What is the amount that Susan can receive as a refund?

According to the previous information we can infer that the government can refund 100% of the money that she wrongly contributed to her taxes. This is because this return does not have a %, but is equivalent to the excess contributions that she made. Due to the above, we can affirm that she can receive all the surpluses that she contributed without any type of withholding or percentage.

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Related Questions

What is the conversion of 190 lb to kg ?

Answers

Answer:

86.1825503

Step-by-step explanation:

190lbs to kg is 86.1825503

If masha buys three roses she will have 7 dollars left. To buy nine roses, masha will need to borrow 11 dollars from her father how many dollars does masha have

Answers

Answer: 13

Step-by-step explanation:

the Price of each rose will be $6.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given,  Masha buys three roses she will have 7 dollars left.

Let's assume the cost of one rose is "x" dollars.

From the first piece of information, we know that if Masha buys three roses, she will have 7 dollars left.

This can be expressed as:

3x + 7 = Masha's initial amount of money

From the second piece of information, we know that Masha needs to borrow 11 dollars to buy nine roses.

This means that the cost of nine roses is:

9x - 11 = Masha's initial amount of money

Since we know that both expressions represent Masha's initial amount of money, we can set them equal to each other:

3x + 7 = 9x - 11

Subtracting 3x from both sides, we get:

7 = 6x - 11

6x = 18

x =3

Therefore, the Price of each rose will be $6.

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A test for a disease will show accurate results 97% of the time. A testing company selects 3 random individuals that are known to have the disease.

a. What is the probability that only one of the individuals will test accurately?
b. what is the probability that none of the individuals test accurately?
c. what is the probability that at least two individuals test accurately?

Answers

Answer:

individuals will test accurately?

b. what is the probability that none of the individuals test accurately?

c. what is the probability that at least two individuals test accurately?

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(please help quickly!!)Emma had to finish her 399-page novel by Friday. She had already read 266 pages. Write and solve an equation to show how many pages Emma had left to read by Friday.

p − 266 = 399; p = 665 pages
p over 266 equals 2; p = 532 pages
p + 266 = 399; p = 133 pages
133p = 266; p = 2 pages

Answers

C is the correct answer. If there is a total of 399 pages, adding the pages she has left to the pages she has already read (266 pages) it would equal the total, that she has to read 133 pages still.

In the image to the right, DB∥EF. Find length of FC. Hint: Set up a proportion and solve for x, then find the length of FC WILL MARK BRAINLIST

Answers

By the concept of a segment parallel to one side of a triangle divides the other two sides in the same ratio FC is equal 36 in.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know a line segment parallel to one side of a triangle divides the other side in the same ratio.

Therefore, From the given information BE/CE = DF/FC.

3/27 = 4/(x - 2).

3(x - 2) = 108.

x - 2 = 36.

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what is rad to degree?

Answers

Radians are multiplied by 180° radians to convert to degrees.

A unit of measurement for angles that is about 57.3°, or the angle covered in the center of a circle by an arc that has the same length as the radius.

Conversion factor between radians and degrees

One radian, or degree, equals 0.01745329252:

1° = π/180°

0.005555556π = 0.01745329252 rad

There are 57.295779513 radians in a degree.

1 rad = 180°/π \s= 57.295779513°

The angle in degrees is equal to the angle in radians times 180 degrees divided by the constant pi: degrees = radians 180° /

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what is speed of a bullet?

Answers

The speed of the bullet is 1000 m/s when A 10 kg gun recoils with a speed of 0.1 m/s after it fires a 0.001 kg bullet.

As we know that here gun + bullet system is isolated from all other external force systems

so here the momentum of the system is always conserved

so we will say

m₁v₁i + m₂v₂i = m₁v₁f + m₂v₂f

here we know that

v₁i = v₂i = 0

m₁ = 10kg

m₂ = 0.001kg

v₁f = 0.1m/s

now we will have

0+0  = 10(0.1) + 0.001v₂f

by solving the above equation we will have

v₂f = 1000m/s.

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The correct question is:

A 10 kg gun recoils with a speed of 0.1 m/s after it fires a 0.001 kg bullet. What is the speed of the bullet?

What is the dividend divided by the price?

Answers

The dividend divided by the price is the Dividend yield. The ratio of a company's annual dividend to its stock price.

Dividend Yield:

Dividend yield is expressed as a percentage and is a financial ratio (dividend/price) that indicates how much a company pays in annual dividends as a share price. The reciprocal of the dividend yield is total dividends/net income, which is the dividend payout ratio.

The dividend yield is an estimate of the dividend yield of a stock investment. Assuming dividends don't rise or fall, yields rise when stock prices fall. Conversely, when stock prices rise, they fall. Dividend yields vary with share price, so stocks that are rapidly declining in value may seem unusually high dividend yields.

The formula for dividend yield is as follows:

Dividend Yield = Annual Dividends Per Share/ Price Per Share

​The dividend yield can be calculated based on the financial statements for the past year. This is permitted during the first few months after the company's annual report is issued. However, the more time has passed since the release of the annual report, the less relevant this data is to investors. Alternatively, investors may add the last 4 quarter dividends to reflect dividend data for the last 12 months. It is acceptable to use the dividend numbers that follow, but yields may be too high or too low if the dividend has been recently cut or raised.

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The difference between the high and low temperatures on Sunday was at least 35°F. The low temperature on Sunday was -8°F.
Part A
Select the correct values and symbol to write an inequality that represents the possible high temperatures, t, on Sunday.
t- __ _ __

Answers

High temp ≥ Low temp + difference

High temp ≥ -8°F + 35°F

High temp ≥ 27°F

Inequality

An inequality is a relationship between two different quantities or expressions.

An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is not equal to

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3. You purchase a car using a $30,000 loan with a 6% simple interest rate.
(a) Suppose you pay the loan off after 6 years. How much interest do you pay on your loan? Show your work.
(b) Suppose you pay the loan off after 3 years. How much interest do you save by paying the loan off sooner? Show your work.

Answer:

Answers

(1) if the loan is paid off after 6 years, the interest paid on the loan is $10,800. (2) $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

What, using an illustration, is simple interest?

Simple Interest (S.I.) is a technique for figuring out how much interest will accrue on a specific initial sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a cost of ten p.a. for 2 years, they will pay S.I. on the loaned money for those two years.

(a) Using the straightforward interest calculation, we can determine the amount of interest paid on the debt if it is repaid after six years:

I = Prt

where P represents the loan's capital, r represents the interest rate, and t represents the quantity of time (in years).

P is $30 000, r is 6%, and t is 6 years in this example. With these numbers entered into the algorithm, we obtain:

I = 30,000 * 0.06 * 6 = $10,800

Therefore, if the loan is paid off after 6 years, the interest paid on the loan is $10,800.

(b) To calculate the interest saved by paying off the loan after 3 years instead of 6 years, we can calculate the interest paid in both scenarios and then subtract the interest paid at 3 years from the interest paid at 6 years.

If the loan is paid off after 3 years, the total interest paid can be calculated using the same formula as before:

I = 30,000 * 0.06 * 3 = $5,400

By deducting the interest costs at 3 years from of the interest charged at 6 years, we can determine the amount of interest that would have been paid had the debt been repaid after 3 years:

Interest saved = Interest paid at 6 years - Interest paid at 3 years

= 10,800 - 5,400

= $5,400

Therefore, $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

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how to convert milliliters to ul

Answers

We can convert milliliters to microliters by using the formula 1 milliliters = 10⁻³ microliters.

A milliliters (mL) is the unit of volume. One microliters (uL) is also a unit of volume but is it a smaller unit.

We know, Milli is corresponding to 10⁻³.

So, we can write the relation by using the concept of unit conversion.

10⁻³ milliliters = one microliters.

Now, for example, if we have 2 microliters, then it will be equal to 2 x 10⁻³ milliliters .

So, now we have to standard formula and we can use it to find the value of the time in microliters to milliliters and milliliters to microliters.

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How do you find the Cholesky decomposition of identity matrix

Answers

The Cholesky decomposition of the identity matrix is simply the identity matrix itself

The Cholesky decomposition of the identity matrix is simply the identity matrix itself. To see why this is the case, recall that the Cholesky decomposition of a matrix A is a lower-triangular matrix L such that

A = LL^T.

When A is the identity matrix I, we have I = LL^T.

Since L is lower-triangular, its transpose L^T is upper-triangular. Therefore, the only way for LL^T to be the identity matrix I is for L to also be the identity matrix I.

In summary, the Cholesky decomposition of the identity matrix I is I itself.

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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options.

y(y + 5) = 750

y2 – 5y = 750

750 – y(y – 5) = 0

y(y – 5) + 750 = 0

(y + 25)(y – 30) = 0

Answers

Answer:

y^2 - 5y = 750

Step-by-step explanation:

If length = y

then width = y - 5

Area = length x width

= y(y-5) = 750

Or, y^2 - 5y = 750

This equation can be further solved as follows:

y^2 - 5y - 750 = 0

Or, y^2 - 30y + 25y - 750 = 0

Or, y(y - 30) + 25(y - 30) = 0

Or, (y + 25)(y-30) = 0

So, there are two possibilities:

If (y + 25) = 0

then y = -25

but value of length cannot be negative,

Let us look at second possibility

If (y - 30) = 0

then y = 30

So, length = 30 feet

Check Answer:

Length = 30 feet

so, width = 30 - 5 = 25 feet

so, area  = 30 x 25 = 750 square feet

Examine the following paragraph proof.
Consider parallelogram PQRS, where PQ = RS

Answers

The statement that would be true from what we have here would be that opposite angles of a parallelogram are congruent. Option C

What is a parallelogram?

A special kind of quadrilateral known as a parallelogram is one in which both sets of its opposite sides are parallel and equal.

PQRS is a parallelogram, therefore.

PQ ≅ RS

QR ≅ PS

Using the SSS criterion, PQR and PQS both equal RSP and RQS.

As a result, since the corresponding angles of congruent triangles are congruent, ∠QPS ≅ SRQ and ∠PQR ≅ ∠RSP.

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Please, Help me with this question

Answers

If (4+2i) - (a+5i) = 9-3i, find the value of a = (-5)

i need help look at the picture for the equation

Answers

The coordinate of the vertex A' after a reflection over the y-axis is equal to A'(3, 4).

What is a reflection?

In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of triangle ABC, the coordinates of A' in triangle A'B'C' include the following:

(x, y)                               →              (-x, y)

Coordinate A = (-3, 4)   →  Coordinate A' = (-(-3), 4) = (3, 4).

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2 more than 3 lots of a number is equivalent to 8 lots of the number.

Answers

If 2 more than 3 lots of a number is equivalent to 8 lots of the number, then the number is 2/5

Let's call the unknown number "x".

According to the problem statement, "2 more than 3 lots of a number" can be written as:

3x + 2

And "8 lots of the number" can be written as:

8x

The problem states that these two expressions are equivalent, so we can set them equal to each other

The equation will be

3x + 2 = 8x

Now we can solve for x:

3x + 2 = 8x

Move 8x to left hand side of the equation

-5x = -2

x = 2/5

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The speed of sound in air is about 1225 kilometers per hour. The speed of sound in seawater is about 1520 meters per second. Does sound travel faster in air or in seawater? How many times faster?

Answers

The speed of sound in seawater is around 4.46 times faster than speed of sound in air.

Conversion of units:

Unit conversion is the process of converting the measurement of a given quantity between different units, often by multiplicative conversion factors that modify the value of the measured quantity without altering

its effects.

Speed of Sound:

Speed of sound, the rate at which sound waves move through various substances. Modern estimates of the speed of sound, specifically for dry air at a temperature of 0 °C (32 °F), are 331.29 metres (1,086.9 feet) per second.

Now in the given question ,

speed of sound in air is 1225 km/hr.

speed of sound in sea water = 1520 m/s.

To compare the speed of sound we have to make them in same unit form.

So , we will change speed of sound in air in m/s.

speed of sound in air = 1225 km/hr

                                     [tex]=\frac{1225*1000}{60*60} m/s\\\\=\frac{12250}{36} m/s\\\\=340.28m/s[/tex]

So , it can be clearly seen that speed of sound in air is less than speed of sound in  seawater.

Also , the speed of sound in seawater is around 4.46 times faster than speed of sound in air.

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4. - Observa los romboides que se encuentran sombreados en las siguientes cuadrículas
rectangulares y calcula su área:
1 cm2
А.
cm2
A=
cm2
A=
cm2
11​

Answers

The equation is given by 5n + 100n = 210

Peggy has 8 quarters and 2 nickels

Let's call q the number of quarters and n the number of nickels.

If Peggy has four times as many quarters as nickels, we can write the following equation:

q = 4n

Then, each quarter has a value of 0.25 dollars and each nickel has a value of 0.05 dollars, so

0.25q + 0.05n = 2.10

Because she had $2.10. Now, we can replace the first equation on the second one

0.25(4n) + 0.05n = 2.10

1n + 0.05n = 2.10

Finally, we can multiply both sides by 100, so

100n + 0.05(100)n + 2.10(100)

100n + 5n = 210

Therefore, the equation that can be used to solve the problem is

5n + 100n = 210

Now, we can solve the equation for n

105n = 210

105n/105 = 210/105

n = 2

Then, q is equal to

q = 4n

q = 4(2)

q = 8

It means that Peggy has 8 quarters and 2 nickels.

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complete question is listed below:

Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?

Which of the following equations could be used to solve the problem?

On+4 n=210

5 n+100 n=210

n+4 n=2.10

5n+100 n=2.10.

Find the conditional and determine if it is true or false.
Statement: Obtuse angles are not right angles.
Select the correct response:
Conditional: If an angle is obtuse, then it is not a right angle. False.
Conditional: If an angle is a right angle, then it is not an obtuse angle. True.
Conditional: If an angle is obtuse, then it is not a right angle. True.
Conditional: If an angle is a right angle, then it is not an obtuse angle. False.

Answers

The conditional of the given statement is;

Option B: Conditional: If an angle is a right angle, then it is not an obtuse angle. True.

Option C: Conditional: If an angle is obtuse, then it is not a right angle. True.

How to Interpret Conditional Statements?

A conditional statement is represented in the form of “if…then”. Let p and q are the two statements, then statements p and q can be written as per different conditions, such as;

p implies q

p is sufficient for q

q is necessary for p

p ⇒ q

By definition, obtuse angles are angles that are greater than 90 degrees.

Right angles are defined as angles that are equal to 90 degrees.

Thus, If an angle is a right angle, then it is not an obtuse angle.

Similarly, If an angle is obtuse, then it is not a right angle.

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1. Use the drawing of the game court and an inch ruler. Each inch in the drawing represents 8 feet.


a. What is the actual length of the court?
b. What are the actual dimensions of Receiver A?
c. What are the actual dimensions of the Net Area?
d. The area of Server B is what percent of the area of Server A?
e. What is the ratio of the perimeter of Receiver B to the perimeter of Net Area?
f. What is the ratio of the area of Receiver B to the area of Net Area?
g. Are Receiver B and Net Area similar rectangles?
h. The area of Server A is increased by what percent to get the area of Net Area?

Answers

The percentage increase in the area of Server A to get the area of the Net Area is 460%.

What is area ?

Area is a measure of the amount of surface a two-dimensional shape or figure occupies. It is usually measured in square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²).

a. To find the actual length of the court, we can use the given scale of 1 inch representing 8 feet. From the drawing, the length of the court is approximately 10.5 inches. Therefore, the actual length of the court is:

Actual length = 10.5 inches x 8 feet/inch = 84 feet

b. Receiver A has a length of approximately 2.5 inches and a width of approximately 1 inch. Therefore, the actual dimensions of Receiver A are:

Actual length = 2.5 inches x 8 feet/inch = 20 feet

Actual width = 1 inch x 8 feet/inch = 8 feet

c. The Net Area has a length of approximately 3.5 inches and a width of approximately 2 inches. Therefore, the actual dimensions of the Net Area are:

Actual length = 3.5 inches x 8 feet/inch = 28 feet

Actual width = 2 inches x 8 feet/inch = 16 feet

d. To find the percentage of the area of Server B to the area of Server A, we need to calculate the area of each server. From the drawing, Server A has an area of approximately 2.5 inches x 0.5 inches = 1.25 square inches, and Server B has an area of approximately 1 inch x 1 inch = 1 square inch. Therefore, the percentage of the area of Server B to the area of Server A is:

(Area of Server B / Area of Server A) x 100%

= (1 square inch / 1.25 square inches) x 100%

= 80%

e. The perimeter of Receiver B is approximately (1 inch + 2.5 inches + 1 inch + 2.5 inches) = 7 inches, and the perimeter of the Net Area is approximately (3.5 inches + 2 inches + 3.5 inches + 2 inches) = 11 inches. Therefore, the ratio of the perimeter of Receiver B to the perimeter of Net Area is:

Perimeter of Receiver B / Perimeter of Net Area

= 7 inches / 11 inches

= 7/11

f. The area of Receiver B is approximately 2.5 inches x 2.5 inches = 6.25 square inches, and the area of the Net Area is approximately 3.5 inches x 2 inches = 7 square inches. Therefore, the ratio of the area of Receiver B to the area of Net Area is:

Area of Receiver B / Area of Net Area

= 6.25 square inches / 7 square inches

= 0.893

g. Receiver B and Net Area are not similar rectangles, as they have different dimensions.

h. To find the percentage increase in the area of Server A to get the area of the Net Area, we can calculate the area of Server A and the Net Area, and then find the percentage increase. From the drawing, Server A has an area of approximately 1.25 square inches, and the Net Area has an area of approximately 7 square inches. Therefore, the percentage increase in the area of Server A to get the area of the Net Area is:

[(Area of Net Area - Area of Server A) / Area of Server A] x 100%

= [(7 square inches - 1.25 square inches) / 1.25 square inches] x 100%

= 460%

Therefore, The percentage increase in the area of Server A to get the area of the Net Area is 460%.

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What is the conversion of 500000 yen to usd?

Answers

By using the current exchange rate for converting "Japanese Yen" to "US Dollar" , 500000 Yen is = 3729.12 USD .

To convert the amount of 500000 YEN to USD, we use the current exchange rate between the currencies  "Japanese Yen" and the "US Dollar" .

The exchange rate varies constantly due to fluctuations in the global financial markets ,

The current exchange rate of 1 US Dollar = 134.08 Japanese Yen  ,

We have to convert the amount 500000 yen to USD by dividing 500000 by 134.08  ;

⇒ 500000/134.08 = 3729.1169 USD ;

≈ 3729.12 USD .

Therefore, 500000 Japanese yen is approximately equal to 3792.12 US Dollars .

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How do I find the x intercept of (If possible show me the steps thank you!)

f(x) = -x^2 + 8x + 6

Answers

The two x-intercepts of the quadratic function are:

x = 8.69

x =  -0.69

How to find the x-intercepts of the quadratic function?

Here we want to find the x-intercepts of the function:

f(x) = -x^2 + 8x + 6

Then we need to solve:

0 =  -x^2 + 8x + 6

Using the quadratic formula we will get the solutions:

[tex]x = \frac{-8 \pm \sqrt{8^2 - 4*(-1)*6} }{2*-1} \\\\x = \frac{-8 \pm 9.38 }{-2}[/tex]

Then the two solutions are:

x = (-8 - 9.38)/-2 = 8.69

x = (-8 + 9.38)/-2 = -0.69

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What is total surplus in a market equal to?

Answers

From the given information, total surplus in a market is equal to the sum of consumer surplus and producer surplus.

Consumer surplus is the difference between the highest price a consumer is willing to pay for a good or service (the "reservation price") and the actual price they pay. Producer surplus is the difference between the lowest price a producer is willing to accept for goods or services and the actual price they receive.

When a market is in equilibrium, the price and quantity are such that the quantity demanded equals the quantity supplied. At this point, total surplus is maximized, since all trades that benefit both consumers and producers have taken place. The total surplus represents the net benefit to society from the production and consumption of the good or service in the market.

In other words, total surplus is the sum of the gains from trade that accrue to consumers and producers in the market, and it represents the difference between the value that buyers and sellers place on the good or service and the resources that were actually used to produce it.

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a recipe for a pie calls for 2/4 cup of blackberries and 1/3 cup of raspberries. what is the total amount of berries needed for the recipe
Urgent!

Answers

Therefore, 10/12 cups of fruit are required for the dish, which can be expressed as 5/6 cups.

In arithmetic, what is a fraction?

An element of a whole is a portion. The number is represented mathematically as a fraction, where the numerator and denominator are split. Both are numbers in a straightforward fraction. A fraction appears in the sum or base of a complicated fraction. The numerator of a perfect proportion is smaller than the denominator.

Based on the given conditions, formulate: [tex]\frac{2}{4} +\frac{1}{3}[/tex]

Cross out the common factor: [tex]\frac{1}{2}+\frac{1}{3}[/tex]

Rewrite fractions using the Least Common Denominator: [tex]\frac{3+2}{6}[/tex]

Calculate the sum or difference: [tex]\frac{5}{6}[/tex]

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Find the length of CYT given that m/CAT=128° and CA =10 in Circle A.
3.14 in your calculation and round to the nearest tenth.

Answers

The length of arc CYT is solved to get

= 40.12

How to solve for length of arc

Length of arc CYT is calculated using the formula for length of arc

= theta / 360 * 2πR

From the problem, we have that

theta = 360 - 128 = 230

R = radius = CA = 10

π = 3.14sds

plugging in the values we have

= 230 / 360 * 2 * 3.14 * 10

= 23/36 * 20 * 3.14

= 40.1222

= 40.12 (to the nearest tenth)

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Find an equivalent ratio in simplest terms: 22:60

Answers

Answer:

11:30

Step-by-step explanation:

The ratio is 22:60

We simplify by 2 and get

11:30

We can't simplify any more, so the answer is 11:30.

CALCULATE THE LENGTHS OF SIDE MN AND SIDE LN HELP

answer options
4.3
5
18.75

Answers

Answer:

NM=5, NL=4.3

Step-by-step explanation:

College students are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they take one or more online courses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied x 0 1 2 3 PX) 0.106 0.352 0.394 0.148 1 UA Yes, the table shows a probability distribution B. No, the random variable x is categorical instead of numerical C. No, the numerical values of the random variable x are not associated with probabilities, ID No, not every probability is between 0 and 1 inclusive. E. No, the sum of all the probabilities is not equal to 1 Find the mean of the random varlable Select the correct choice below and, if necessary, fill in the answer box to complete your choice - students (Round to one decimal place as needed.) 8. The table does not show a probability distribution. Find the standard deviation of the random variable x. Select the correct choice below and, if necessary, fit in the answer box to complete your choice O OA students (Round to one decimal place as needed.) B. The table does not show a probability distribution, Time Remaining: 03:24:26 Next Statcrunch

Answers

The variance is 0.745

The  standard deviation is 0.863

What is Probability?

A probability is a number that describes how likely an event is to occur in science. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The probability of an event increasing as its likelihood increases

How to solve

X is a random variable and is the number of in the group of three who do online course.

The probability distribution is given below:

x        P(X=x)

0       0.108

1        0.355

2       0.395

3      0.142

A summation of this is 0.108 + 0.355 + 0.395 + 0.142

= 1

Since it is equals to 1, the distribution is a probability distribution.

To find the mean,

0(0.108) + (1) (0.355) + (2) (0.395) + (3)(0.0.142)

= 1.571 students

Approx

1.6 students

The variance is

3.213 - 2.468 = 0.745

The standard deviation is \sqrt0.745 = 0.863

Read more about probability here:

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Solve the inequality. Give the solution set in both interval and graph forms; -8≤x+1<15

Answers

The solution of the inequality is:

-9 ≤ x < 14

And the graph can be seen on the image at the end.

How to solve the inequality?

Here we want to solve the inequality:

-8 ≤ x + 1 < 15

To solve this, we need to isolate the variable, if we subtract 1 un all the parts we will get.

-8 - 1 ≤ x< 15 - 1

-9 ≤ x < 14

To graph this we need to draw a closed circle at x = -9 and a line that extends to the right, until it ends at an open cirlce at x = 14.

The graph is below.

Learn more about inequalities at:

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