each quiz in a course contains 15 questions. how many different ways could the questions on a given quiz be ordered?

Answers

Answer 1

The no. of ways could those question be ordered is  1307674368000 ways A combination is what?

When selecting components from a collection using the combination method, the sequence of selection is unimportant, in contrast to permutations. In simpler scenarios, the number of combinations can be counted.

The act of combining n objects into k groups, one at a time, without repetition Repetition-allowed combinations are usually referred to as k-selection or k-combinations with repetition.

Given

that, Total no of question in quiz is 15 The no. of ways could those question be ordered is 15! ways =  1307674368000 ways The number of possible ways for those questions is 1307674368000.

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Related Questions

government employees: in 2013 about 66% of full-time law enforcement workers were sworn officers, and of those, 88.4% were male. females however make up 60.7% of civilian employees. choose one law enforcement worker at random and find the following. b. the probability that he is a male civilian employee

Answers

The probability that he is a male civilian employee is 0.13362.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given that 66% of full-time law enforcement employees are sworn officers, 34% of them are civilian employees (100 - 66).

Given that 60.7% of civilian employees are women. Therefore, the percentage of men is (100 - 60.7)% or 39.3%.

Therefore, the likelihood that he works as a male civilian is 39.3% of 34%, which equals 0.393 * 0.34, = 0.13362.

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Base of an isosceles triangle can be right angles

Answers

We can actually deduce here that the statement, "base of an isosceles triangle can be right angles" is false.

What is an isosceles triangle?

An isosceles triangle is actually known to be a triangle which has two sides equal and opposite angles of the sides also equal. In other words, an isosceles triangle must have at least two equal triangles.

Some of the properties of an isosceles triangle are:

It is a triangle whose two sides are congruent to each otherIt has a third side known as the base of the isosceles triangle.It has angles that are opposite to the equal sides which are congruent to each other.

We see here that the base of an isosceles triangle cannot be a right angles. It is still to have one side as a right angle but not the two sides as right angles.

The complete question is:

True or false: Base angles of an isosceles triangle can be right angles.

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in a particular chi-square goodness-of-fit test, there are eight categories and 825 observations. use the 0.10 significance level. a. how many degrees of freedom are there?

Answers

By probability , 7 is degrees of freedom are there .

Describe probability using an example?

By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. The most basic illustration is a coin toss. There are only two outcomes that can occur when you flip a coin: either heads or tails.It is predicated on the likelihood that something will occur. The theory of probability primarily relies on the justification for probability. A coin is tossed, for instance, and the theoretical likelihood of getting a head is 1 in 2.

825 Observations and 8 categories .

Degree of freedom = k - 1

     df = 8 - 1

     df = 7

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help meeeeeeeeeeeeeee pleaseee

Answers

The following are features of the parabola shown in the diagram:

Vertex:  (2, -1)

Axis of symmetry: x = 2

The parabola opens downward.

What is the Vertex of a Parabola?

The vertex of a graph is the coordinates of the point where the tip of the parabola lies at.

What is the Axis of Symmetry of a Parabola?

The axis of symmetry of a parabola passes through the vertex and is it expressed as the x-coordinate of the vertex of the parabola.

The tip of the parabola shown in the image above is at (2, -1), and the parabola as can be seen opens downward.

Therefore:

The vertex of the parabola is (2, -1)

The axis of symmetry would be expressed as x = 2. The parabola opens downward as well.

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If p is portional to q and p =4.5 when q= 12 .
Find the relationship between p and q
P when q =16
Q when p= 2.4

Answers

The relationship between variables p and q is given by p = kq. Also, the value of the variable p when q = 16 is 6 and when p = 2.4, the variable q is 6.4.

How to determine the proportional relationship?

Mathematically, a proportional relationship can be represented with the following mathematical expression:

p = kq

Where:

p and q are the variables.k represents the constant of proportionality.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = p/q

Constant of proportionality (k) = 4.5/12

Constant of proportionality (k) = 0.375.

When q = 16, the variable p is given by:

p = kq

p = 0.375 × 16

p = 6.

When p = 2.4, the variable q is given by:

q = p/k

q = 2.4/0.375

q = 6.4

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a marathon is a 26.2-mile race that commemorates the run made by a greek soldier, pheidippides, that took place in 490 bce. how many kilometers did he run? (note: 1 mi

Answers

He ran 42.1 kilometers.

Define conversion.

A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet. The act or process of transforming something into a different condition or form is known as conversion. to convert a value or expression between two different forms. • Measurement: converting between different units, for as from inches to millimeters or liters to gallons. For instance, change 12 inches to millimeters. 304.8 millimeters are equal to 12 inches multiplied by the inch-to-millimeter ratio of 25.4.

Given,

A marathon is a 26.2-mile race that commemorates the run made by a greek soldier, pheidippides, that took place in 490 bce.

1 mile = 1.609

Converting miles into kilometer:

26.2 miles

= 26.2 × 1.609

= 42.1

He ran 42.1 kilometers.

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Please Help! What is the ratio of a:b?
a+3b/5 = a-2b/2

Answers

The ratio of a : b in the given expression is 16:3  .

In the question ,

it is given that

the algebraic expression is (a+3b)/5 = (a-2b)/2

we have to find the ratio of a:b ,

in order to find the ratio,

we cross multiplying ,

On cross multiplying , we get

2 * (a+3b) = 5 * (a-2b)

2a + 6b = 5a - 10b

5a - 2a = 10b + 6b

3a = 16b

dividing both sides by b ,

a/b = 16/3

a:b = 16:3

Therefore , The ratio of a : b in the given expression is 16:3 .

The given question is incomplete , the complete question is

What is the ratio of a:b in the expression (a+3b)/5 = (a-2b)/2  ?

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“Find the requested information based on the given facts.

Total sales is $55,000

The commission is 3.5%

Determine the commission.”

Can someone please help?

Answers

Answer:

$1925

Step-by-step explanation:

So your problem is $55,000 x 3.5%

You can rewrite this as:

55,000 x 3.5/100 or 55,000 x 35/1000

Now multiply. I will remove the /1000 for now.

55,000x35=1925000

Now, divide 1925000 by 1000.

1925/1000=$1,925

a survey of 500 high school students was taken to determine their favorite chocolate candy. of the 500 students surveyed, 118 like snickers, 185 like twix, 179 like reese's peanut butter cups, 60 like snickers and twix, 87 like twix and reese's peanut butter cups, 57 like snickers and reese's peanut butter cups, and 17 like all three kinds of chocolate candy. how many students like snickers, but not twix or reese's peanut butter cups? a) 118 b) 101 c) 100 d) 18 e) 83 f) none of the above.

Answers

There are 18 students who like snickers but not twix or reese's peanut butter cups.

Given, that 500 high school students was taken to determine their favorite chocolate candy.

118 like snickers, 185 like twix, 179 like reese's peanut butter cups,

60 like snickers and twix, 87 like twix and reese's peanut butter cups, 57 like snickers and reese's peanut butter cups,

and 17 like all three kinds of chocolate candy.

Let A = Set of students like snickers

B = Set of students like twix

C = Set of students like reese's peanut butter cups

Now, we have to find the number of students like snickers but not twix or reese's peanut butter cups i.e. A - A∩B - A∩C + A∩B∩C

A - A∩B - A∩C + A∩B∩C = 118 - 60 - 57 + 17

A - A∩B - A∩C + A∩B∩C = 135 - 117

A - A∩B - A∩C + A∩B∩C = 18

Hence, there are 18 students who like snickers but not twix or reese's peanut butter cups.

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On the interstate there is a ratio of 2 trucks to 4 cars to 3 SUVs, if there are a total of 1800 vehicles on the road, how many of each type of vehicle is on the road?

Answers

Answer:

Step-by-step explanation:

yes Saab do

A rectangular book measures 3*5. What is the length of its diagonal to the nearest tenth?

Answers

The length of the diagonal for the given rectangular book using Pythagoras' theorem will be 5.8.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

Area of rectangle = length × width.

The angle between any two consecutive sides will be 90 degrees.

As per the given rectangle with dimensions 3 × 5.

The rectangle has been attached below,

The length of the diagonal using Pythagoras' theorem is,

x = √(3² + 5²)

x = √34 = 5.8

Hence "The length of the diagonal for the given rectangular book using Pythagoras' theorem will be 5.8".

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Solve the equation for w.

4w + 2 + 0.6w = −3.4w − 6

No solution
w = 0
w = 1
w = −1
Please help

Answers

Answer:

The answer is w= -1

Step-by-step explanation:

4w + 2 + 0.6w = -3.4w - 6

4.6w + 2 = -3.4w - 6

8w + 2 = -6

8w = -8

w = -1

Part of the graph of a quadratic function is graphed below. Between which two integers will the graph again cross the x-axis?​

Answers

From the coefficients of the quadratic equation and the vertex of the parabola, it was found that the graph again crosses the x-axis  in x=7.

Quadratic Function

The standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

For solving the quadratic function, you should find the discriminant: Δ=b²-4ac and then use this variable in the formula: [tex]\frac{-b \pm \sqrt{\Delta} }{2a}[/tex] .

The given equation is a quadratic function because have a degree equal to 2. Therefore, the graph is represented by a parabola. The vertex of the parabola is given by the coordinates(xv= -b/2a, yv= -Δ/4a).

From the given figure, it is possible to see that:

the graph crosses the x-axis in x= -1 the graph crosses the y-axis in y=2. xv=3 and yv=7

For x= -1, you have y=0, then:

ax²+bx+c=0 -> x=-1

a (-1)²-b+c=0

a*1-b+c=0

a-b+c=0 (1)

For y= 2, you have x=0, then:

ax²+bx+c=0

a*0²+b*0+c=2

0+0+c=2

c=2 (2)

As, a-b+c=0 (1) and c=2 (2), you have:

a-b+c=0

a-b+2=0

a-b=-2 (3)

Now, you should use the information about the xv.

[tex]x_v=\frac{-b}{2a} =3[/tex]

-b=6a

b=-6a

From equation 3, you will find the coefficient a .

a-b=-2 (3)

a-(-6a)= -2

a +6a =-2

7a= -2

a=-2/7

If a= -2/7, from equation 3 you can find the coefficient b.

b=-6a = -6* (-2/7)=12/7

Thus, the quadratic equation of the plot is: ax²+bx+c

[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex]

Now, you should find the roots for the found equation :[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex].

[tex]x_{1,\:2}=\frac{-12\pm \sqrt{12^2-4\left(-2\right)\cdot \:14}}{2\left(-2\right)}[/tex]

[tex]x_1=\frac{-12+16}{2\left(-2\right)}=-1,\:x_2=\frac{-12-16}{2\left(-2\right)}=7[/tex]

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Diana works at a clothing store. She sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of green shirts on Tuesday. What fraction of green shirts did Diana sell on Monday and Tuesday? 27/60 is the answer. Diana sold 2/15 of the total number of green shirts on Wednesday. What is the difference in the fraction of the total number of green shirts that were sold on Tuesday and Wednesday?

Answers

Answer:

your answer is [tex]27/60[/tex] and [tex]7/60[/tex]

Here is a parallelogram.
Work out the value of x.
x cm
Area = 12 cm²
2.5 cm

Answers

The value of x for the given parallelogram is 4.8 cm.

According to the question,

We have the following information:

We have a parallelogram with base x cm, height 2.5 cm and area 12 square centimeters.

(More to know: in a parallelogram, the opposite sides are equal and parallel to each other. Opposite angles of parallelogram are equal and the sum of consecutive angles is 180°.)

We know that the following formula is used to find the area of the parallelogram:

Area of parallelogram = Base*height

x*2.5 = 12

x = 12/2.5

x = 4.8 cm

Hence, the value of x is 4.8 cm.

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Matteo buys a basil plant that is 22 cm tall and grows 1/2 a centimeter every day.

A. Write an equation that can be used to solve for the number of days until the plant has a height of 30 cm. Use d to represent the number of days. Label each part of your equation with what it represents.

B. How much does the plant still have to grow?

C. Solve for the value of d. What does this value represen in this problem?

PLEASE SOLVE ALL

Answers

The equation 22+(d-1)0.5 = 30 may be used to determine how many days it will take the plant to reach a height of 30 cm. The value of d is 17, and it stands for the number of days.

What is an arithmetic sequence?

There are two definitions for an arithmetic sequence. It is a series where the differences between every two succeeding terms are identical or each term in an arithmetic sequence is formed by adding a fixed number (positive, negative, or zero) to its preceding term.

The following details are available to us:

A 22 cm tall basil plant that is gaining half a centimeter daily was purchased by Matteo.

We now have the arithmetic progression shown below with the common difference, indicated by the letter d:

22, 22.5, 23, 23.5, ...

The formula for calculating the nth term:

When an is the first term, a(n) = a+(n-1)d.

A) 22+(d-1)0.5 = 30

B) The plant still needs to develop 8 cm, as there is a difference of 8 cm between 30 and 22.

C) D's value:

22+(d-1)0.5 = 30

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During the Christmas season, a store offers a sale. You buy one item for the regular price then you get 60% discount on a second item of equal or less value. You choose to buy two items with regular prices of $30 and $20. In addition, the store charges 9% sales tax of your purchase after the discount. Which of the following is what you actually pay for the items?

Answers

The amount you pay for the items is C. $41.42.

How is the amount determined?

The amount that the customer pays for the two items is determined by first discounting the second item by 60%.

The result after the discount is added to the cost of the first item before the sales tax is added to get the final cost of the items.

Discount on second item = 60%

The price of the first item purchased = $30

The price of the second item purchased = $20

Discounted price on the second = $8 ($30 x (1 - 60%)

Total cost before sales tax = $38 ($30 + $8)

Sales tax = 9%

Total cost after sales tax = $41.42 ($38 x 1.09)

Thus, after discounting the second item by 60% and adding the sales tax of 9%, the customer will pay $41.42 for the items.

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Answer:

c. 41.42 my teacher told me the answer

Step-by-step explanation:

The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F. What was the average temperature for the day?
A. −3°F
B. −1°F
C .1°F
D. 3°F

Answers

-3 + 12 - 6 = 3

3/3 = 1

Answer : 1ºF

70 points need help asap

Answers

The angle ∠C is 130° by the alternative angles.

Given that,

In the figure we have a diagram.

We have to find the angle c.

The angles created on the opposing side of the transversal with regard to both straight lines when two straight lines are cut by it are referred to as alternative angles. Therefore, the angles that are on the opposing sides of the transversal and have distinct vertices are those.

We know that,

By alternative angles

∠M=∠C

So,

130°=∠C

Therefore, The angle ∠C is 130° by the alternative angles.

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In the diagram below, \angle C\cong\angle F∠C≅∠F, \angle D\cong\angle G∠D≅∠G. Enter segments in the blanks provided that would result in a true equation.

Answers

The sides of similar triangles are proportional, therefore, the true equation would be: FG/CD = EG/BD.

What are Proportional Lengths of Similar Triangles?

Two similar triangles have corresponding angle measures that are congruent to each other, but have corresponding side lengths that are proportional to each other.

Similar triangles have the same shape but their sizes are different.

Given that angles C and F are congruent, and angles D and G are congruent, therefore triangle BCD is similar to triangle EFG based on the AA similarity theorem.

Therefore, the corresponding side lengths of both triangles will be proportional, which means that the following equation would be true:

FG/CD = EG/BD

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3x + 4y = 7
2x - y = 12
please help?

Answers

Answer:

x=5

y=-2

Step-by-step explanation:

even though this looks like they want you to do it elimination ima do substation cause I like that better

2x-y=12

   +y. +y

2x=12+y

-12    -12

2x-12=y

Now we can fill in y

3x+4(2x-12)=7

3x+8x-48=7

11x-48=7

   +48. +48

11x=55

/11. /11

x=5

fill in X to find y

2(5)-y=12

10-y=12

-10. -10

-y=2

y=-2

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Graph this system of equations on the coordinate plane:
y=4/3x+4
3y=-2x-6

Answers

The graph the system of linear equations on a coordinate plane is added as an attachment

How to graph the system of linear equations on a coordinate plane?

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

y=4/3x+4

3y=-2x-6

Rewrite the equations in the system of equations as follows:

So, we have the following representation

y = 4/3x + 4

3y = -2x - 6

Next, we plot the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (-3, 0)

This means that the solution to the system of equations is (-3, 0)

See attachment for the graph of the system of equations

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2 1. The drama teacher is making bandanas for costumes. She is cutting yard of fabric into 6 bandanas of the same size. Write and solve an equation to find how much fabric there will be for each bandana. (Example 1)​

Answers

The equation which can be used to find how much fabric is used in each bandana is [1/2 ÷ 6 = x].

What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, the equation to get fabric used in each bandana:

Fabric cutting out to make 6 bandanas is 1/2 yards.

Then, the fabric in each bandana will be:

1/2 ÷ 6 = x

Solve as follows:

1/2 ÷ 6 = x1/2 × 1/6 = x1/12 = x

So, 1/12 yards of fabric is used in each bandana.

Therefore, the equation which can be used to find how much fabric is used in each bandana is [1/2 ÷ 6 = x].

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Complete question:

The drama teacher is making bandanas for costumes. She is cutting 1/2 yard of fabric into 6 bandanas of the same size. Write and solve an equation to find how much fabric there will be for each bandana.

X
-3
-2
0
2
g(x)=x³+6x² + 12x+8
3
g(x)
-1
0
8
64
125
Determine the function's value when x=-1.
Og(-1)=-3
O g(-1)=0
O g(-1)=1
O g(-1)=27

Answers

The function g(-1) has its value to be (c) g(-1) =  1

How to evaluate the function at the input value?

The definition of the function is given as

g(x)=x³+6x² + 12x+8

Rewrite the above function properly

So, we have the following representation

g(x) = x³ + 6x² + 12x + 8

To find the function g(-1), we set the value of x in the equation g(x) = x³ + 6x² + 12x + 8 to -1

This is represented by

Calculate g(x), when x = -1

Substitute -1 for x in the equation g(x) = x³ + 6x² + 12x + 8

So, we have the following equation

g(-1) = (-1)³ + 6(-1)² + 12(-1) + 8

Evaluate the exponents

This gives

g(-1) = -1 + 6(1) + 12(-1) + 8

Evaluate the products

This gives

g(-1) = -1 + 6 - 12 + 8

Evaluate the sum

g(-1) =  1

Hence, the value of the function is g(-1) =  1

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: the small town of west fremont has a population of 50,000. if the growth rate of west fremont is 2%, then how long will it take for the population of west fremont to double?

Answers

It takes 35 years for the population of West Fremont to double. We have the following condition;

West Fremont is a tiny town with 50,000 residents. If West Fremont experiences 2% growth. To solve the given case to get how long it takes for the population of West Fremont to double.

Here, we use the rule of 70 case. The rule of 70: By dividing the number 70 by the growth rate of the variable, the rule of 70 may be used to calculate how many years it will take for a variable to double.

According to the yearly rate of return, the rule of 70 is typically used to calculate how long it would take for an investment to double.

Doubling time = 70 / Growth rate                

= 70 / 2                        

= 35 years

So, it takes 35 years for the population of West Fremont to double.

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PLEASE HELP ASAP!!! Determine if the sequence is arithmetic. If it is, what is the common difference?


36, 33, 30, 27, ...


Thank you!

Answers

Answer:

Yes it is

Step-by-step explanation:

Every new number is 3 less than the last number

n-3

Answer:

Yes, -3

Step-by-step explanation:

An arithmetic sequence is when the numbers in the sequence are subtracted or added by the same value everytime to get the next number. (NOT multiplied or divided, if it's that then it's a geometric sequence)

from 36 to 33, we can see the change is -3
from 33 to 30, it's also -3
from 30 to 37, it's also -3

The common difference is the difference between the two consecutive terms in the sequence, which is -3

Since it's subtracting or adding by the same value everytime to obtain the next value, this sequence is an arithmetic sequence, and the common difference is -3

7. Hannah invests £750 and after 4 years has £844.13. Find the compound interest rate.

Answers

If the amount after 4 years is 844.13. Then the rate of the compound interest will be 3%.

What is compound interest?

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Hannah contributes £750 and following 4 years has £844.13. Then the compound interest rate is given as,

844.13 = 750 (1 + r)⁴

(1 + r)⁴ = 1.1255

1 + r = 1.02999

r = 0.0299

r = 2.99%

r ≈ 3%

If the amount after 4 years is 844.13. Then the rate of the compound interest will be 3%.

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help ? please, thank you !

Answers

13. 36in/12in becomes 3in/1in
15. ratio is 12:2, then simplified to 6:1

Answer:

3 feet

1ft:2ft

Step-by-step explanation:

3ft/12 inches

12 inches= 1 foot

We can simplify the denominator by turning 12 inches into 1 foot

3/1

And then we divide to make 3 feet

The width of the rectangle is 12 inches and the length is 2 feet so the ratio is

12 in.:2 ft

12 inches can be simplified to 1 foot

1 ft: 2 ft

And it is simplified as much as possible

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The temperature dropped to 24 degrees in 8 days. what was the average daily change in temperature? a) 3 degrees b) -8 degrees c) -3 degrees d) 16 degrees

Answers

The average daily change  in temperature will be 3 degrees The temperature dropped to 24 degrees in 8 days

Since we know an average could be a single number taken as an agent of a list of numbers, as a rule, the whole of the numbers divided by how numerous numbers are within the list. We are said the temperature dropped to 24 degrees in the  8 days

So the average of it  will be =24 /8  = 3, which  means the temperature needed to drop for at least 3 degrees in order to get the sum  of 28  in 8 days.

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A container with 3½ liters of weed killer can spray of a lawn. How many liters would it
take to spray 1 entire lawn?

Answers

The amount a container would take to spray 1 entire lawn is 7 litres.

Given that a container with 3½ liters of weed killer can spray 1/2 of a lawn.

We want to find the amount of liters to take a spray 1 entire lawn.

3½ liters of weed killer can spray 1/2,

liters take to spray 1 lawn is 3½/1/2=7 liters

Hence, the amount of liters it would take to spray 1 entire lawn when a container with 3½ liters of weed killer can spray of a lawn is 7 liters.

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