Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three? Tell a story that could describe each situation. I don't know how to word it, please help. Please also give me the sums

Answers

Answer 1

The order of division affects the result; 3 ÷ 1/5 is 15 and 1/5 ÷ 3 is 1/15.

How are the quotients different?

To find the answer, we can calculate the quotient of three divided by one-fifth, which is:

3 ÷ (1/5) = 15

And the quotient of one-fifth divided by three is:

(1/5) ÷ 3 = 1/15

These two quotients are different because the order of division changes the result. In the first case, we divide 3 by a smaller number (one-fifth), which results in a larger quotient (15). In the second case, we divide a smaller number (one-fifth) by a larger number (three), which results in a smaller quotient (1/15).

To give a story describing each situation:

For the first situation, imagine a pizza that is divided into five equal slices, and three hungry friends who want to share it. Each friend gets one-fifth of the pizza, but they want to know how much pizza they would get if they each had three-fifths. To find out, they combine their slices, which gives them three out of the five slices. The total amount of pizza they have is now three-fifths of the pizza, and they can each take one-third of that amount, which is 15% of the original pizza.For the second situation, imagine a group of three friends who want to share a small bag of candy that has five pieces in it. Each friend gets one-fifth of the candy, but they want to know how much candy they would get if they each had three pieces. To find out, they divide the total number of pieces (five) by the number of friends (three), which gives them one and two-thirds pieces each, or one-fifteenth of the bag.

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Related Questions

Coby's room is a rectangle that measures 10 feet by 8 feet.

use the drop-down menus to complete the statement about the floor of coby's room.

Answers

The area of Coby's room is 80 square feet.

The area of a rectangle is given by the product of its length and width. Here, the length of the room is given as 10 feet and the width is given as 8 feet. Therefore, the area of the room is:

Area = Length x Width

Area = 10 feet x 8 feet

Area = 80 square feet

Hence, the area of Coby's room is 80 square feet. It is important to note that when calculating the area of a rectangle, the units of length are multiplied to obtain the unit of area. In this case, the units of length are feet, so the unit of area is square feet.

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Cameron and Lindsey need to make 160 cookies for the bake sale. Cameron made 2/5 of the cookies Lindsey made 16 cookies What fraction of the cookies do they still need to make?

Answers

The fraction of the cookies do they still need to made after Cameron and Lindsey made 80 cookies is 1/2.

Fractions are referred to as the components of a whole in mathematics. A single thing or a collection of objects might be the entire. When we cut a slice of cake in real life from the entire cake, the part represents the percent of the cake. The word "fraction" is derived from Roman. "Fractus" means "broken" in Latin.

The fraction was expressed verbally in earlier times. It was afterwards presented in numerical form. A piece or sector of any quantity is another name for the fraction.

Total cookies to be made is 160

Out of which Cameron made 2/5 of the cookies so,

2/5 x 160 = 64 cookies are made by Cameron

Lindsey made 16 cookies

So total cookies that still need to be made is,

= 160 - (64 + 16) = 80

The fraction of cookies still need to made is 80/160 = 1/2 .

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find f(x) for the given function.
f(x) = 1/1-x

Answers

To find f(x) for the given function f(x) = 1/1-x, we simply replace the "x" in the equation with whatever input value we want to evaluate the function at.

For example, if we want to find f(2), we would replace x with 2 and get:

f(2) = 1/1-2

f(2) = -1

Similarly, if we want to find f(a), we would replace x with a and get:

f(a) = 1/1-a

Therefore, f(x) = 1/1-x, where x is any input value.
To find f(x) for the given function, simply rewrite the function as it is:

f(x) = 1 / (1 - x)

Here, f(x) represents the function value for any input x, and the expression on the right side indicates how to calculate it.

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What is the height, to the nearest tenth of a foot, of a tree that creates a 35-foot shadow when the sun is at an angle of elevation of 35⁰? (do NOT type in units, just the value)

Answers

The height of the tree is approximately 20.1 feet.

What is the height of a tree that produces a 35-foot shadow when the sun is at an angle of 35 degrees?

To determine the height of the tree, we can use the tangent function, which relates the opposite side (the height of the tree) to the adjacent side (the length of the shadow) of a right triangle.

tan(35°) = height of tree / 35 feet shadow

Rearranging this formula, we get:

height of tree = 35 feet shadow x tan(35°)

Plugging in the given values and using a calculator, we get:

height of tree = 35 x tan(35°) ≈ 20.1 feet

Therefore, the height of the tree is approximately 20.1 feet.

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Which system of equations is represented by the graph?

Answers

Answer:

Absoblute value Reflection

Step-by-step explanation:

You can tell it's absolbute value because of the parbolas, and it's reflected acroos the two points. Give brainliest please!

Jack is making $9.50 per hour at his job re-stocking grocery shelves. His supervisor is impressed with his good work and gives him a 10% raise. How much per hour is Jack making now?

PLS HELP I WILL MARK YOU BRAINLIEST

Answers

Answer:

Jack now makes $10.45

Step-by-step explanation:

First, we need to find 10% of 9.50. To do that we must divide 9.50 by 10 or simply move the decimal one place to the left to get 0.95. 0.95 is 10% of 9.50. Now we must ADD 0.95 to 9.50 because Jack is getting a 10% raise.  0.95 + 9.50 = 10.45. Therefore Jack makes $10.45 per hour at his job.

State the null and alternative hypotheses you would use to test the following situation. The average time it takes for a person to experience pain relief from a certain pain reliever is 15 minutes. A new ingredient is added to help speed up pain relief and an experiment is conducted to test whether the new product does indeed speed up pain relief. What are the appropriate null and alternative hypotheses for the experiment

Answers

The appropriate null and alternative hypotheses for the experiment are:

Null hypothesis (H0): According to null hypothesis, the average time it takes for a person to experience pain relief from the new pain reliever is not beyond 15 minutes.

Alternative hypothesis (Ha): According to Alternative hypothesis, the average time it takes for a person to experience pain relief from the new pain reliever is significantly less than 15 minutes, indicating that the new ingredient does speed up pain relief.

The alternative and null hypotheses can be written as follows in symbols:

H0: = 15 (where μ is the population mean time for pain relief from the new pain reliever)

Ha: μ < 15

The one-tailed hypothesis test assumes that the new component of the painkiller can only reduce the duration of pain alleviation, not lengthen it. As a result, the rejection region will be in the left tail of the distribution, while the alternative hypothesis is one-tailed to the left.

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Daniel is constructing a fence that consists of parallel sides line AB and line EF. Complete the proof to explain how he can show that m∠GKB = 120° by filling in the missing justifications. Statement Justification line AB ∥ line EF m∠ELJ = 120° Given m∠ELJ + m∠ELK = 180° Linear Pair Postulate m∠BKL + m∠GKB = 180° Linear Pair Postulate m∠ELJ + m∠ELK = m∠BKL + m∠GKB Transitive Property ∠ELK ≅ ∠BKL 1. M∠ELK = m∠BKL 2. M∠ELJ + m∠ELK = m∠ELK + m∠GKB Substitution Property m∠ELJ = m∠GKB Subtraction Property m∠GKB = m∠ELJ Symmetric Property m∠GKB = 120° Substitution

Answers

The completed two column table in the question showing that the measure of the angle m∠GKB = 120° can be presented as follows;

Statement [tex]{}[/tex]                                                Reason

[tex]\overline{AB}[/tex] || [tex]\overline{EF}[/tex]         [tex]{}[/tex]                                          Given

m∠ELJ = 120°

m∠ELJ + m∠ELK = 180°     [tex]{}[/tex]                        Linear pair Postulate

m∠BKL + m∠GKB = 180°   [tex]{}[/tex]                        Linear pair Postulate

m∠ELJ + m∠ELK = mBKL + m∠GKB  [tex]{}[/tex]      Transitive property

∠ELK ≅ ∠BKL                         [tex]{}[/tex]                   1. Alternate Interior Angles

m∠ELK = m∠BKL [tex]{}[/tex]                                      2. Definition of congruent angles

m∠ELJ + m∠ELK = m∠ELK + m∠GKB[tex]{}[/tex]      Substitution property

m∠ELJ = m∠GKB[tex]{}[/tex]                                      Subtraction property

m∠GKB = m∠ELJ [tex]{}[/tex]                                     Symmetric property

m∠GKB = 120° [tex]{}[/tex]                                          Substitution

What is an angle in geometry?

An angle is the figure formed at the point of intersection of two rays that have the same starting point. The parts of an angle includes; The vertex, which is the point of intersection of the rays, and the sides or arms of the angle, which are the two rays forming the angle.

The details of the the statements that completes the above table used to prove the measure of the angle m∠GKB = 120° are as follows;

Alternate interior angles theorem

The alternate interior angles theorem states that the alternate interior angle formed by the two parallel lines and their shared transversal are congruent.

Definition of congruent angles

Congruent angles are angles that have the same measure.

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Help a man out. Its due tomorrow need to get it done.

Answers

Answer:

A≈166.28

Step-by-step explanation:

Answer:

A≈166.28

Step-by-step explanation:

Use the aleks calculator to evaluate each expression.
round your answers to the nearest hundredth.

tan 33°

cos 42°

sin 70°

Answers

When rounded to the nearest hundredth, the result of the expression tan 33° × cos 42° × sin 70° is approximately 0.4511 .

To evaluate the given expression using the terms tan 33°, cos 42°, and sin 70°, you can use a scientific calculator or an online tool like the ALEKS calculator.

After evaluating each term, you would multiply the values together and round the result to the nearest hundredth. Here's the breakdown:

tan 33° ≈ 0.6494
cos 42° ≈ 0.7431
sin 70° ≈ 0.9397

Now multiply the values:

0.6494 × 0.7431 × 0.9397 ≈ 0.4511

So, the result of the expression tan 33° × cos 42° × sin 70° is approximately 0.4511 when rounded to the nearest hundredth.

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6.at what interval does the car reach the the highest acceleration ?

7. what is the highest acceleration of car ?

8. what is the lowest acceleration of the car ?

9. at what time interval did the car attains the lowest acceleration ?

10. base on the given data , how do u describe the motion of the car in the whole trip?

pls answer this thanks​​

Answers

I'm sorry, but you have not provided any data or information about the car's motion. Without this information, I cannot answer your questions accurately. Please provide more details or context about the car's motion.


I am unable to answer these specific questions without any given data. Please provide the data related to the car's acceleration, and I will be happy to help you with the analysis.

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Put these numbers in order, from least to greatest. If you get stuck, consider using the number line.



3. 5 -1 4. 8 -1. 5 -0. 5 4. 2 0. 5 -2. 1 -3. 5



Write two numbers that are opposites and each more than 6 units away from 0

Answers

To put the numbers in order from least to greatest, we can use the number line: -3.5 -2.1 -1 -0.5 0.5 2 4 4.2 5 5.8  Two numbers that are opposites and each more than 6 units away from 0 are -7 and 7.

First, let's put the numbers in order from least to greatest:

-3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4, 4.2, 4.8, 5

Now, let's find two numbers that are opposites and each more than 6 units away from 0. One example would be -7 and 7. These numbers are opposites (since they have the same magnitude but different signs), and they are both more than 6 units away from 0.

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1. Liz Reynolds deposited $2,000 into a savings account that pays 8 % compounded quarterly. Complete the table to compute the amount in the account after 1 year.

Answers

The amount at end of the second quarter = [tex]42,448$ +2122,416$ = 2164.86$[/tex]

How to solve

Interest for first quarter = [tex]2000 * 0,08*- = 40$\n4[/tex]

Amount at end of first quarter =[tex]40$ + 2000$ = 2040$[/tex]

Interest for second quarter = [tex]2040 * 0,08\n1\n* = 40,8$\n4[/tex]

Amount at end of second quarter = [tex]40,8$ + 2040$ = 2080,8$[/tex]

Interest for third quarter = [tex]2080,8 * 0,08*\n4\n= 41,616$[/tex]

Amount at end of third quarter = [tex]41,616$ +2080,0$ = 2122,416$[/tex]

1\nInterest for second quarter = [tex]2122,416 * 0,08 *-\n4\n= 42,44831$[/tex]

Amount at end of second quarter = [tex]42,448$ +2122,416$ = 2164.86$[/tex]


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Find the value of b. Round your answer to the nearest hundredth.
Image may not
be drawn to scale.

Answers

The value of the tangent segment b is 20.15.

What is the value of side b?

The secant-tangent power theorem, also known as the tangent-secant theorem, states that if a tangent and a secant are drawn from a common external point to a circle, then the product of the length of the secant segment and its external part is equal to the square of the length of the tangent segment.

It is expressed as:

( tangent segment )² = External part of the secant segment + Secant segment.

From the diagram:

Tangent segment = WX = b

External part of the secant segment = YX = 14

Secant segment = ZX = 15 + 14 = 29

Plug these values into the above formula and solve for b.

( tangent segment )² = External part of the secant segment + Secant segment.

b² = 14 × 29

b² = 406

b = √406

b = 20.15

Therefore, the value of b is 20.15.

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A right rectangular prism has a length of 1 foot, a width of 1 3/8 feet, and a height of 5/8 foot. unit cubes with side lengths of 1/8 foot are added to completely fill the prism with no space remaining. how many cubes can fit inside the prism? explain how to find the number by using the volume formula. explain how to find the number by using the side lengths of the prism and the cubes.

Answers

The number of cubes of dimensions of [tex]\frac{1}{8}[/tex] foot that can fit into a rectangular prism of a length of 1 foot, a width of 1 [tex]\frac{3}{8}[/tex] foot, and a height of [tex]\frac{5}{8}[/tex] foot is 55.

Volume of cuboid = l * b * h

where l is the length

b is the breadth

h is the height

l = 1 foot

b = 1 [tex]\frac{3}{8}[/tex] foot = [tex]\frac{11}{8}[/tex] foot

h = [tex]\frac{5}{8}[/tex] foot

Volume of cuboid = 1 * [tex]\frac{11}{8}[/tex] * [tex]\frac{5}{8}[/tex]

= [tex]\frac{55}{64}[/tex] cubic foot

Volume of cube = [tex]s^3[/tex]

where s is the side

s = [tex]\frac{1}{8}[/tex] foot

Volume = [tex]\frac{1}{8}^3[/tex]

= [tex]\frac{1}{64}[/tex] cubic foot

Number of cubes = [tex]\frac{\frac{55}{64} }{\frac{1}{64} }[/tex]

= 55

The number of cubes that fit into the prism is 55.

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Leland wants to paint a portrait for his parents using a photograph of them that is 5 inches wide by 8 inches high. He wants the portrait to be proportional to the photograph and 42 inches high. Which proportion can Leland use to find , the width he needs to use to make the portrait proportional?

Answers

The ratio to make the portrait proportional is width/42 = 5/8

Which proportion can Leland use to find , the width he needs to use

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

Photograph that is 5 inches wide by 8 inches high.

This means that

Ratio = width/height

Substitute the known values in the above equation, so, we have the following representation

Ratio = 5/8

Given that he wants the portrait to be proportional to the photograph and 42 inches high.

Then, we have

width/42 = 5/8

Hence, the ratio to make the portrait proportional is width/42 = 5/8

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En una imprenta, 4 impresoras tardan 3 horas en imprimir 5000 hojas, ¿cuánto tiempo tardarán en imprimir 6000? escribe el resultado en horas con decimales

Answers

Tardarán aproximadamente 3.6 horas.

How long to print 6000 sheets?

Para resolver este problema, podemos establecer una relación proporcional entre el número de hojas impresas y el tiempo requerido. Si 4 impresoras tardan 3 horas en imprimir 5000 hojas, podemos establecer la proporción

4 impresoras / 3 horas = 5000 hojas / x horas

Donde x representa el tiempo que tardarán en imprimir 6000 hojas. Podemos resolver esta proporción utilizando regla de tres:

4 / 3 = 5000 / x

Multiplicando en cruz, obtenemos:

4x = 3 * 5000

4x = 15000

x = 15000 / 4

x = 3750

Por lo tanto, tardarán aproximadamente 3750 horas en imprimir 6000 hojas.

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Team A purchases 3 soccer balls and 7 basketballs for a total cost of $1240. Team B purchases 5 soccer balls and 10 basketballs for a cost of $1900. If team C purchases 4 soccer balls and 6 basketballs, how much would they expect to pay?

Answers

The total cost for team C would be $760 + $600 = $1360.

How to calculate  how much would they expect to pay

We can start by setting up a system of equations based on the given information. Let x be the cost of one soccer ball and y be the cost of one basketball. Then we have:

3x + 7y = 1240 (equation 1)

5x + 10y = 1900 (equation 2)

We can solve this system of equations by using either substitution or elimination method. Let's use elimination method here:

Multiplying equation 1 by 2 and subtracting it from equation 2, we get:

5x + 10y - (6x + 14y) = 1900 - 2(1240)

-x - 4y = 420

Now we can use either equation 1 or equation 2 to solve for x or y. Let's use equation 1:

3x + 7y = 1240

3x + 3y = 840 (multiplying both sides by -1 and adding to the previous equation)

4y = 400

y = 100

So one basketball costs $100. Now we can substitute this value back into either equation 1 or equation 2 to solve for x. Let's use equation 1:

3x + 7y = 1240

3x + 7(100) = 1240

3x = 570

x = 190

So one soccer ball costs $190.

Now we can use these values to find the cost for team C:

4 soccer balls cost 4 x $190 = $760

6 basketballs cost 6 x $100 = $600

So the total cost for team C would be $760 + $600 = $1360.

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Find the area of this triangle.
round to the nearest tenth.
7 in
133
13 in
[ ? ) in2

Answers

Area of triangle = 45.5 in square ≈ 45.5 (rounded to the nearest tenth).

How to find area of triangle?

The area of a triangle given its base and height.

The formula for the area of a triangle is:

Area = (1/2) x base x height

In this formula, "base" refers to the length of the side of the triangle that is perpendicular to the height, and "height" refers to the length of the line segment that is perpendicular to the base and passes through the opposite vertex.

In the problem you provided, the base of the triangle is given as 13 inches, and the height is given as 7 inches. So we can plug these values into the formula:

Area = (1/2) x 13 in x 7 in

= 45.5 in square

The units for area are square units, so we write the answer as "inches squared" or "in square".

Finally, we are asked to round the answer to the nearest tenth. Since there is only one decimal place in the answer, the "tenth" place is the same as the "one" place. Therefore, we look at the digit in the "one" place (which is 5) and round up to the nearest whole number. This gives us:

Area of triangle ≈ 45.5 (rounded to the nearest tenth).

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What is the probability of spinning a 1 or 2? Write your answer as a fraction AND decimal

Answers

Answer:

Probability of spinning 1 or a 2

Fraction=6/8

decimal=0.75

Let me know if it helped

A hot air balloon rising vertically is tracked by an observer located 5 km from the lift-off point. At a certain moment, the angle between the observer's line of sight and the horizontal is π/5 , and it is changing at a rate of 0.4 rad/h. How fast is the balloon rising at this moment? (Round your answer to three decimal places.)

Answers

The balloon is rising at a rate of approximately 3.532 km/h at this moment.

We will use the tangent function in trigonometry and the concept of related rates.

Let x be the horizontal distance from the observer to the lift-off point (5 km) and y be the vertical distance from the ground to the balloon. The angle between the observer's line of sight and the horizontal is given as π/5.

We can use the tangent function:
tan(θ) = y/x

At the given moment, x = 5 km and θ = π/5, so:
tan(π/5) = y/5

Now, let's differentiate both sides with respect to time (t):
d(tan(θ))/dt = d(y)/dt / 5

We know that d(θ)/dt = 0.4 rad/h, so we can find d(tan(θ))/dt using the chain rule:
d(tan(θ))/dt = (sec^2(θ)) * d(θ)/dt
d(tan(θ))/dt = (sec^2(π/5)) * 0.4

Now, substitute this back into the first equation and solve for d(y)/dt:
(sec^2(π/5)) * 0.4 = d(y)/dt / 5
d(y)/dt = 5 * (sec^2(π/5)) * 0.4

After calculating the expression, you'll find that d(y)/dt ≈ 3.532 km/h. Thus, the balloon is rising at a rate of approximately 3.532 km/h at this moment.

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Please help -(-4)(-6)-3/5(10+5)/1/3!! I’ll give 30 points.

Answers

The solution to the expression -(-4) (-6)-3/5(10+5)/1/3 is 15.

To solve this expression, we need to follow the order of operations, which is also known as PEMDAS (parentheses, exponents, multiplication and division, addition and subtraction):

Start with the parentheses: (-4) (-6)= 24, so we can rewrite the expression as:

24-3/5(15)/(1/3)

Now we need to simplify the expression inside the parentheses by adding 10 and 5, which equals 15. Then we need to simplify the division by multiplying the numerator by the reciprocal of the denominator, which is the same as dividing by 1/3. We can rewrite this expression as:

24-3/5*15*3

Multiply 3/5 and 15 first, then multiply that result by 3: 24-9.

Finally, subtract 9 from 24 to get the final answer: 15.

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Si 12kg de papas y seis kg de arroz cuentan 102. 00 mientras que 9 kg de papas y 13 kilogramos de arroz cuestan 153. 00¿cuanto cuesta cada producto?​

Answers

Entonces, concluimos que las papas cuestan 4 pesos por kilogramo y el arroz cuesta 9 pesos por kilogramo.

Para resolver este problema, necesitamos plantear un sistema de ecuaciones lineales con dos incógnitas: el precio por kilogramo de papas y el precio por kilogramo de arroz. Podemos escribir:

12p + 6r = 102

9p + 13r = 153

Donde p es el precio por kilogramo de papas y r es el precio por kilogramo de arroz. Podemos resolver este sistema de ecuaciones usando el método de eliminación. Multiplicando la primera ecuación por 13 y la segunda ecuación por -6, obtenemos:

156p + 78r = 1326

-54p - 78r = -918

Sumando estas ecuaciones, obtenemos: 102p = 408

Dividiendo ambos lados por 102, encontramos que p = 4. Por lo tanto, el precio por kilogramo de papas es de 4 pesos.

Para encontrar el precio por kilogramo de arroz, podemos sustituir p = 4 en una de las ecuaciones originales y resolver para r. Por ejemplo, usando la primera ecuación:

12(4) + 6r = 102

48 + 6r = 102

6r = 54

r = 9

Por lo tanto, el precio por kilogramo de arroz es de 9 pesos.

Entonces, concluimos que las papas cuestan 4 pesos por kilogramo y el arroz cuesta 9 pesos por kilogramo.

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A system of linear inequalities is shown
below. Which of the following points are
solutions of the system?
8x + 5y > 40
-6x +2y >_-18

Answers

The points (0,10) and (-8,4) are solutions of the system of inequalities.

Define system of inequality

A system of inequalities refers to a set of two or more inequalities that are graphed together on the same coordinate plane. Each inequality in the system represents a region in the plane where the solution to that inequality lies.

To determine if a point is a solution of the system of inequalities, we need to check if it satisfies both inequalities. Let's check each point given:

(4,6):

8(4) + 5(6) = 47 > 40 (true)

-6(4) + 2(6) = -14 ≥ 18 (false)

(9,8):

8(9) + 5(8) = 97 > 40 (true)

-6(9) + 2(8) = -40 ≥ 18 (false)

(0,10):

8(0) + 5(10) = 50 > 40 (true)

-6(0) + 2(10) = 20 ≥ 18 (true)

(5,-6):

8(5) + 5(-6) = 34 > 40 (false)

-6(5) + 2(-6) = -30 ≥ 18 (false)

(-1,-8):

8(-1) + 5(-8) = -44 ≤ 40 (false)

-6(-1) + 2(-8) = 10 ≥ 18 (false)

(-8,4):

8(-8) + 5(4) = -24 ≤ 40 (true)

-6(-8) + 2(4) = 52 ≥ 18 (true)

Therefore, the points (0,10) and (-8,4) are solutions of the system of inequalities.

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Which expression is equivalent to −0.75(60–32n)–n?

−45+23n

45–23n

−45+31n

−45+15n

Answers

The expression that is equivalent to −0.75(60–32n)–n is A. −45+23n.

What is a mathematical expression?

A mathematical or algebraic expression is the combination of variables with numbers, constants, and values using algebraic operands, including addition, multiplication, subtraction, and division.

Mathematical expressions do not bear the equal symbol (+) unlike equations.

−0.75(60–32n)–n

Expanding:

-45 + 24n - n

Simplifying:

−45 + 23n

Thus, the equivalent expression is Option A.

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You spin the spinner, flip a coin, then spin the spinner again. Find the probability of not spinning a 5. Flipping tails, then spinning a 5. Write your answer as a traction in simplest form

Answers

The probability of not spinning 5 is 81/200.

What is the probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

Here, we have

Given: You spin the spinner, flip a coin, then spin the spinner again.

We have to find the probability of not spinning a 5. Flipping tails, then spinning a 5.

P(not spinning a 5) = 9/10

P(heads)= 1/2 because there is an equal chance to get heads or tails

P(not spinning a 5)= same as before, 9/10 (independent events).

= [tex]\frac{9}{10}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{9}{10}[/tex]

= [tex]\frac{81}{200}[/tex]

Hence, the probability of not spinning 5 is 81/200.

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Cardine company acquired and placed into use equipment on 2009 january 2, at a cash cost of 935,000. transportation charges amounted to 7,500, and installation and testing costs totaled 55,000. the equipment was estimated to have a useful life of nine years and a salvage value of 37,500 at the end of its life. it was further estimated that the equipment would be used in the production of 1,920,000 units of product during its life. during 2009, 426,000 units of product were produced. compute the depreciation if the year ended december 31, using straight line method.

Answers

t\The depreciation expense for the year ended December 31, 2009 using the straight-line method is $23,333.33.

The total cost of the equipment is $997,500 ($935,000 + $7,500 + $55,000). The depreciable cost is calculated by subtracting the salvage value from the total cost, which is $960,000 ($997,500 - $37,500).

To calculate the annual depreciation expense using the straight-line method, divide the depreciable cost by the useful life of the equipment. The annual depreciation expense is $106,666.67 ($960,000 ÷ 9).

Since the equipment was only used for a portion of the year, we need to prorate the annual depreciation expense based on the number of units produced.

The depreciation expense for the year ended December 31, 2009 is calculated as follows:

Depreciation Expense = (Annual Depreciation Expense ÷ Total Units of Production) x Units Produced in 2009

Depreciation Expense = ($106,666.67 ÷ 1,920,000) x 426,000

Depreciation Expense = $23,333.33

Therefore, the depreciation expense for the year ended December 31, 2009 using the straight-line method is $23,333.33.

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If the smith children are served randomly how likely is it that the two oldest smith children are served before the others ?

Answers

The probability of the two oldest Smith children being served first is 2/4 or 50%.

How likely is it for the two oldest Smith children to be served first?

Assuming that all the children have an equal chance of being served first, there are a total of 4 possibilities for the order in which the two oldest Smith children can be served:

Oldest served first, followed by second oldestSecond oldest served first, followed by oldestOldest served first, followed by one of the younger children, then second oldestSecond oldest served first, followed by one of the younger children, then oldest

Out of these 4 possibilities, only the first 2 would satisfy the condition that the two oldest Smith children are served before the others. So the probability that the two oldest Smith children are served first is 2/4 or 50%.

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If the point P(-1,0) is a point on the terminal side of angle 0, an angle in standard position, what is the value of csc 0 ?​

Answers

We know that the value of CSC 0 is undefined if the point P(-1,0) is a point on the terminal side of angle 0, an angle in standard position.

If the point P(-1,0) is a point on the terminal side of angle 0, an angle in standard position, then we can use the Pythagorean theorem to find the value of the hypotenuse. The hypotenuse (r) is the distance from the origin to point P, and can be found using the formula r = sqrt(x^2 + y^2), where x = -1 and y = 0.

r = sqrt((-1)^2 + 0^2) = 1

Since csc 0 is the reciprocal of sin 0, and sin 0 = 0/1 = 0, we have:

CSC 0 = 1/sin 0 = 1/0 = undefined.

Therefore, the value of CSC 0 is undefined if the point P(-1,0) is a point on the terminal side of angle 0, an angle in standard position.

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The owner of a company asks a manager, "How many hours does an employee work each week?" a. Is this a statistical question? Explain. The question a statistical question because there. Question 2 b. The manager records the number of hours worked each week by several employees. Display the data in a dot plot. Identify any clusters, peaks, or gaps in the data. Hours worked 40 39 40 39 47 38 41 37 40 41 40 43 40 41 40 38 40 42 40 42 Most of the data are clustered around. There is a peak at and a gap between. Question 3 c. Use the distribution of the data to answer the question. Most employees work about hours each week

Answers

This is a statistical question because it involves collecting data. Most employees work around 40 hours each week.

a. This is a statistical question because it involves collecting data on the number of hours worked by employees each week and analyzing the distribution or pattern of the data.

b. Here's a dot plot of the data provided:

   37: •
   38: ••
   39: ••
   40: ••••••••
   41: •••
   42: ••
   43: •
   47: •

The distribution of the data in the dot plot shows that the majority of employees worked around 40 hours each week, as this is where the data is most heavily clustered. Most of the data are clustered around 40 hours, with a peak at 40 hours. There is a gap between 43 and 47 hours.

c. Based on the distribution of the data, most employees work about 40 hours each week.

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