You have four sweaters, five pairs of pants, and three pairs of shoes. How many different combinations can you make, wearing one of each

Answers

Answer 1

Therefore, 60 different combinations can be made wearing one of each type

What is Fundamental Counting Principle? If an event can occur in m different ways, and another event can occur in n different ways, then the total number of occurrences of the events is m × n.This video uses manipulatives to review the five counting principles including stable order, correspondence, cardinality, abstraction, and order irrelevance. When students master the verbal counting sequence they display an understanding of the stable order of numbers.Fundamental Principle of Counting helps to determine how selection is done on the basis of available choices. Fundamental Principle of Counting simplifies the approach of selection considering all the possible choices and their combinations for calculating the ProbabilityThe fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. Example 1: Suppose you have 3 shirts (call them A , B , and C ), and 4 pairs of pants (call them w , x , y , and z ). Then you have. 3×4=12.

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Related Questions

Brad has a cylindrical barrel with radius 10 inches and height 15 inches. He wants to fill it from a well, using a bucket in the shape of a hemisphere with a radius of 10 inches. How many trips must Brad make to the well in order to fill the barrel

Answers

He needs to make 1 and a half trips to the well to fill the barrel which has a height of 15 inches and radius 10 inches.

What are cuboid?

A cuboid is a three-dimensional geometric shape that has six rectangular faces, three of which meet at each corner. A cuboid has three dimensions: length, width, and height. It is also commonly referred to as a rectangular prism. The formula for the volume of cuboid is [tex]V = l *w * h[/tex], where l is the length, w is the width, and h is the height. The formula for the surface area of a cuboid is [tex]2lw + 2lh + 2wh[/tex]. Cuboids are used in everyday life such as building blocks and package boxes.

The cylindrical barrel has a volume of [tex]\pi * r^2 * h = \pi * 10^2 * 15 = 1500\pi[/tex] cubic inches.

The hemisphere has a volume of [tex](2/3) * \pi * r^3 = (2/3) * \pi * 10^3 = (2000/3)\pi[/tex] cubic inches.

So, to fill the barrel, Brad must make [tex]1500\pi / (2000/3)\pi = 3/2 = 1.5[/tex] trips to the well.

In other words, he needs to make 1 and a half trips to the well to fill the barrel.

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When 10 is substacted from the square of a number the result is 3 times the number find the positive solution

Answers

Answer: So the positive solution is:

ANSWER: X = 5

(x = 5 ), (x = - 2 )

Step-by-step explanation:

when 10 is subtracted from the square of a number the result is 3 times the number.

Find the positive solution.

Let: x = number

Let x^2 = square of a number.

x^2 - 10x = 3x transpose

x^2 - 3x - 10 = 0

Apply Factoring: Fractions of 10 are 5 and 2

( - 5)(2) = - 10

- 5 + 2 = - 3

( x - 5 )(x + 2) = 0

x - 5 = 0 x + 2 = 0

x = 5 x = - 2

So the positive solution is:

ANSWER: X = 5

I hope that helps!!!!

find the value of X.
L,M∈KN

Answers

We know:
Angles on a straight line sum to 180 degrees, so we can calculate OLM and OML, OLM will be 180 - 134, and OML will be 180 - 84. These are both 46 and 96. We also know that three angles in a triangle sum to 180 degrees, therefore 46 + 96 + x = 180, or 142 + x = 180, so x = 38 degrees

the answer is x=38 degrees

solve (x-3)^2=49. select the values of x

Answers

Answer:

x1=-4 x2=10

Step-by-step explanation:

step 1: x-3 = +/- 7 <--- take the square roots of both sides of the equation and use both positive and negative roots

step 2: x-3 = -7

x-3=7

step 3: x-3=-7--> x=-4

x-3=7--> x=10

step 4:x1=-4, x2=10 is the answer

1.) Each row of the grocery store parking lot has 10 parking spots of equal width. What is the width for each spot?

2.) How many space is given for each parking spot at the mall parking lot if each spot has an equal width?

3.) Which location gives the greatest space for each parking lot?

(Ik this is a lot but can someone help me please I’m so confused)

Answers

When there are 10 identically sized parking spaces in each row of the grocery store parking lot, the solution is 3.192 width.

what is equation ?

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal." The three main types of linear equations are the slope-intercept form, standard form, and point-slope form. An equals sign is a part of a mathematical expression referred to as an equation. A lot of equations include algebra. In math, algebra is employed when you don't know the precise amount to calculate.

given

The grocery store is 31.92 wide overall, with 10 equally wide parking spaces.

If you assume that the width of these 10 parking spaces is equal to the width of the grocery store as a whole, you will have:

10x=31.92

on both sides of the equation, multiply by 10.

10x/10 = 31.92/10

x = 3.192

When there are 10 identically sized parking spaces in each row of the grocery store parking lot, the solution is 3.192 width.

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7.3 significant figure

Answers

Answer:

7.0

Step-by-step explanation:

from the first figure which is not a 0

7.3-7.0(1 significant figure)

Are 6x - x + 5 and 6+5 equivalent?

Answers

Answer:

Step-by-step explanation:

the one equation has variables and numbers go in for the variable and the other equation just equals 11

How do you use sin Cos in C?

Answers

We can use the sin (), and cos () functions in C programming to find the sine and cosine values of any problem.

sin( ), cos( ) and tan( ) functions in C are used to find sine, cosine and tangent values.

sinh( ), cosh( ) and tanh( ) functions are used to find hyperbolic sine, cosine and tangent values.

exp( ) function is used to find the exponential “e” to the xth power. log( ) function is used to find the natural logarithm and the log10( ) function is used to find the base 10 logarithms.

The” math.h” header file supports all these functions in the C language.

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A correlation coefficient of is the amount of the variance in the dependent variable unexplained by the levels of the independent variable alleged to produce the effect under study. A correlation coefficient of 0.3 leaves what percent of the variance in the dependent variable unexplained by the independent variable

Answers

The percent of the variance in the dependent variable unexplained by the independent variable is 81%

What does correlation coefficient mean?

A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.

9 percent of the variance is explained by the independent variable if the correlation coefficient is 0.3.

The correlation coefficient is therefore represented as follows:

[tex]r = 0.3[/tex]

The explained variance is found using the following formula:

[tex]R^{2} = r^{2} \\R^{2} = (0.3)^{2} \\R^{2} = (0.3)*(0.3)\\R^{2} = 0.9[/tex]

Thus, 81% of the variance remains unexplained by variations in the independent variable.

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Solve −1/5x=6 (probably very easy but I zoned out and missed a lot)

Answers

Answer:

-30

Step-by-step explanation:

-1x/5 = 6

-x/5 = 6

-x = 30

x = -30

5. It takes a truck 4 hours to drive 240 miles. What was the truck's miles per hour? How far would the truck go in 1 days (think carefully)?

Answers

Answer:

Step-by-step explanation:

a.4 hours drive 240 miles, so the speed is 240÷4=60 miles per hour

b.1 days have 24 hours, then, it will go 60 ×24 = 1440 miles in 1 days

Answer:

1440

Step-by-step explanation:

240+4= 60

distance = rt

r= rate

t = time

IN ONE DAY

60 times 24= 1440

(24 for 24 hours)

You buy clothing at a sale. You buy sneakers at 2 3 of their original price of $60, a sweater at 7 10 of its original price of $35, and a jacket at 5 6 of its original price of $45. Answer each question and show all your work. How much money did you spend

Answers

We spent a total of 40.2 + 24.5+ 37.8 = $102.50

Explain about the fractions?

A fraction is a metric unit for describing a piece or component of a whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator. The number at the top is the numerator, and the number at the bottom is the denominator.

Fractions are used to represent the parts of an entity or collection of entities. The components of a fraction are two. The figure at the top of the line is the numerator. It provides information on how many equal sections from the total or collection were taken. The number that appears below the line is the denominator.

We multiply the initial price by the fractions' decimal conversions to determine how much we spent. The quantities are then combined.

You purchased sneakers for $60 and paid 2/3 of that amount, or $0.6666, for a total of $40.20, saving $19.80.

Sweater costs $35 and you paid $7.50 for it, saving you $10.50. 35(0.7)=$24.50.

You paid $45 for a jacket, and since 5/6=0.8333, 45(0.84)=$37.80, you made a $7.20 profit.

We spent a total of 40.2 + 24.5+ 37.8 = $102.50

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Type the correct answer in the box. Round your answer to the nearest tenth. The population of Cuba is 1.3 million. The country's population is expected to grow at a rate of 4% each year. The population of Cuba will be million in 10 years.

Answers

The population of Cuba in 10 years will be 1.9243 million.

What is meant by exponential growth?

A process called exponential growth sees a rise in quantity over time. It happens when a quantity changes at an instantaneous rate that is proportionate to the quantity itself with respect to time.

Data patterns that exhibit exponential growth exhibit quicker rate of expansion over time. Compounding produces exponential returns in the financial world. Savings accounts with a compound interest rate have the potential to expand exponentially.

The population growth will be modeled using exponential growth:

f(x) = a(b[tex])^t[/tex]

where:

a be the initial value

b be the growth rate

Substitute the values in the above equation, we get

f(x) = 1.3(1.04[tex])^t[/tex]

The population after 10 years will be:

f(x) = 1.3(1.04[tex])^{10[/tex]

simplifying the equation, we get

f(x) = 1.9243

Therefore, the population in 10 years will be 1.9243 million.

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The population of Cuba in 10 years will be 1.9243 million, if the population is expected to grow at a rate of 4% each year.

What is meant by exponential growth?

Quantities increase over time through a process known as exponential growth. It occurs when a quantity shifts at a pace that is proportional to the quantity's own rate of change with regard to time.

Data patterns that show exponential growth expand more quickly over time. In the world of finance, compounding generates exponential profits. Compound interest savings accounts have the potential to grow tremendously.

The population growth will be modeled using exponential growth:

f(x) = a(b)[tex]^{t}[/tex]

where:

a be the initial value

b be the growth rate

Substitute the values in the above equation, we get

f(x) = 1.3(1.04

The population after 10 years will be:

f(x) = 1.3(1.04

simplifying the equation, we get

f(x) = 1.9243

Therefore, the population in 10 years will be 1.9243 million.

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Which expressions are equivalent to 8.5x + 0.5 + 3.5x -2x, A) 12x-2x, B) 10x + 0.5, C) 12-2x, D) 9x + 3.5 - 2x, E) 12x - 2x + 0.5

Answers

The given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to

10x + 0.5.

What are equations?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".

Given is the expression as follows -

8.5x + 0.5 + 3.5x - 2x

The given expression is -

8.5x + 0.5 + 3.5x - 2x

(8.5x + 3.5x - 2x) + 0.5

12x - 2x + 0.5

10x + 0.5

Therefore, the given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to

10x + 0.5.

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how do i do this qustion

Answers

The slope of the line is 20.

The slope represents the rate of change in the price per hour is $20.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Two coordinates from the graph.

(1, 60) and (3, 100)

Slope.

= (100 - 60) / (3 - 1)

= 40 / 2

= 20

The slope represents the rate of change in the price per hour.

Thus,

The value of the slope is 20.

The slope denotes that the rate of charge per hour is $20.

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Use a calculator to find cos 149° rounded to the nearest hundredth. Identify the angle of depression

Answers

The value of cos 149 degree as calculated from the calculator is found out to be -0.857167301.

Which on round off is , -0.85.

The formula to calculate the angle of depression is , θ = tan-1 (Opposite Side/Adjacent Side) .

Therefore, the AOD for cos149 degree is found out to be as ,

α = arctan(vertical distance / horizontal distance)

α = arctan(10 / 11.998)

α = arctan(0.83347224537423)

α = 0.69482025147278 ° ≈ 0.69 °

The angle of depression is defined as the point of meeting of a horizontal line with the line between the item and the observer's eye. This angle is determined by two factors , which are their height and distance. If the item is below the observer's level, the angle produced between the horizontal line and the observer's line of sight is known as the angle of depression.

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Write 4.2 as a mixed number and as an improper fraction.
Write your answers in simplest form.
0
improper fraction: 0
mixed number:
믐
8 0.8
X

Answers

As a mixed number, 4.2 can be written as 4 + 2/10.

As an improper fraction, 4.2 can be written as 21/5.

Define Fraction.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

What is a mixed fraction?

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Since 4 + 2/10=4.2 so as a mixed number, 4.2 can be written as 4 + 2/10.

Also, 21/5=4.2 so, as an improper fraction, 4.2 can be written as 21/5.

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Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector's house to bike home. He can bike the 8
miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch
up. He can ride to Darnell's house in 24 minutes. Assuming they bike the same path, will Hector catch up to Darnell
before he gets home?
a. Write the linear equation that represents Darnell's constant speed.

i need this ASAP

Answers

Darnell's constant speed, as determined by the solution, is 20 miles per hour.

What is the process of linear algebra?

It covers linear transformations more broadly as well as vectors, matrices, and vector spaces. One area of mathematics is linear algebra. In comparison to other areas of mathematics that are frequently driven by innovative ideas and unresolved problems, linear algebra is a discipline that is very well understood.

According to the given information:

Distance=8 miles

Time taken is=32 minutes

speed=distance/time

speed=15 miles/hour

Darnel has travelled a distance of 1.5x5/60=0.125 miles in under five minutes.

Hector bicycle speed = distance/time

hector speed of bike= 20 miles/hour

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what is the answer of 0.08 divided by 48.86

Answers

Answer:

610.75

Step-by-step explanation:

48.86 divided by 0.08

Hi everyone, I need some help please. The question is asking -

Which set of ordered pairs does not represent a function?

A: (0, -4) , (8,5) , ( -5,6) , (6,5)
B: (0, -1) , ( -4,0) , ( -2, -1) , (7, -7)
C: (0,3) , ( -3,6) , ( -7,3) , (9, -5)
D: (8, -2) , ( -2, -3) , (6,6) , ( -2, -6)

Answers

B: (0, -1) , ( -4,0) , ( -2, -1) , (7, -7)

What exactly is an ordered pair?

Image result for ordered pair definition

An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair’s numeric values can be integers or fractions.

The origin is the place where both axes cross. Every point on the coordinate plane is represented by an ordered pair (x, y), with the first element x referred to as the x-coordinate and the second element y referred to as the y-coordinate.

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What is the probability that andre olivia and zack all win gift cards that are at least $25

Answers

The probability that Andre, Olivia, and zack all win gift cards that are at least $25 is 1/4. Hence option C is the correct option.

What is an event?

An event is a collection of experiment results (a subset of the sample space) to which a probability is ascribed in probability theory.

The wheel consists of 8 equal sections. Each section contains the price of a gift card. 4 sections contain a $5 gift card, 2 sections contain a $5 gift card, one section contains a $25 gift card, one section contains a $50 gift card.

To win at least $5, they have to get either $25 or $50.

Thus the number of outcomes of favorable event is 2.

Total number of outcomes is 8.

The probability to win at least $25 is 2/8

Divide denominator and numerator by 2:

2/8 = 1/4

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Practice
Example 1
Use the graphs to determine the number of solutions the system
has. Then state whether the system of equations is consistent or
inconsistent and if it is independent or dependent.
1. y=x-1
y = -x + 1
3. y = x + 4
2x - 2y = 2
5. y = 0.5x
y=x+2
7. 2x - 2y = -4
-10x - 5y = 15
2. x-y=-4
y=x+4
4. y=2x-3
2x - 2y = 2
6. 4x+6y=12
2x + 3y = 6
8. 2x + 3y = 10
4x + 6y = 12
Period
GO Practice Spiral Review Extra Practice
Examples 2 and 3
Graph each system and determine the nu
.
2x+3y=6
y=x+4
x-y=-4
A
y=x-1
y=2x-3
2x+3y=10
y=x+2
Date
2x-2y=-4
.
2x-2y=2
y=-x+
y=0.5x
4x+6y=12
-10x-5y=15

Answers

Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.

what is solution ?

a value or set of values that, when used as a stand-in for one or more equation's variables, cause the equation to be true. a strategy or approach for resolving a problem, such as the solutions to the equation x2 = 4 being 2 and -2. a description of a resolution. to be more precise: a group of variable values that satisfy an equation. The equation 3(2)+5=11 states that 6+5=11 is accurate. So, the solution is 2.

given

y = 3x + 1

The two equations are independent and consistent since they cross at a single precise location.

y = 3x + 1

y = x + 3

The two equations are independent and consistent since they cross at a single precise location.

y = x + 3

These two equations are incompatible because they do not intersect.

y = x + 3

To identify which line it is, rearrange the first equation into slope-intercept form.

Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.

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PLEASE HELP SOON

1. Solve the system. 3x+y = 10 y = 6x+1 Enter your answer by filling in the blanks. The solution is ( , )

2. Solve the system. 6x - y = -15 x + 2y = 17 Enter your answer as a coordinate pair in the blank.

Answers

Answer:

1. ( 1,7)

2. (17, 39)

Step-by-step explanation:

1. Replace all occurrences of y with 6x+1, and we get

9x + 1 = 10

x = 1

y = 6x + 1

y = 7

So, the answer for number 1 is (1,7)

2. 6x - y = -15x + 2y = 17

We subtract 2y and get

6x - 3y = 15x = 17

Replace all occurrences of x with 17, and we get

102 −3y = −15

x = 17

y = 39

So, the answer for number 2 is (17, 39)

Suppose you and a friend decided to produce counterfeit 100 Trillion notes to try and make money selling them on Ebay. Because of the new influx of $100 trillion notes, the Ebay price decreases from USD$200 to just USD$50, over 4 weeks.This corresponds to a monthly inflation rate of 400%, since 4 notes are worth what 1 note was a month before.
Assuming this devaluation continues at the same rate, how much will the notes be worth in a years time? What is that yearly inflation rate?

Answers

The valuation of the notes in a years is given as follows:

y = 200(0.00000006)^a.

The yearly inflation rate is of:

1,666,666,667%

How to model the situation?

The valuation changed by a percentage in a period of time, hence an exponential function is used to model the situation.

An exponential function is defined as follows:

y = a(b)^x.

For which the parameters are given as follows:

a is the initial value.b is the rate of change.

The initial valuation is of $200, hence the parameter a is given as follows:

a = 200.

Thus the function should be modeled as follows:

[tex]y = 200(b)^a[/tex]

In which a is the time in years.

In one month, the amount decayed to $50. One month is 1/12 of a year, as one year is composed by 12 months, hence the parameter b is obtained as follows:

[tex]50 = 200(b)^{\frac{1}{12}}[/tex]

[tex](b)^{\frac{1}{12}} = \frac{50}{200}[/tex]

[tex](b)^{\frac{1}{12}} = \frac{1}{4}[/tex]

Elevating both sides to 12, we have that:

b = (0.25)^12

b = 0.00000006.

Hence the function is:

y = 200(0.00000006)^a.

The inflation rate is given as follows:

1/0.00000006 x 100% = 1,666,666,667%

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Determine if each infinite geometric series is convergent or divergent.

Answers

The solution to the geometric progression are

a) The geometric progression converges , r = 0.1

b) The geometric progression converges , r = 0.2

c) The geometric progression diverges , r = 5

d) The geometric progression converges , r = 0.2

e) The geometric progression diverges , r = 5

f) The geometric progression converges , r = 0.2

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

A geometric progression is said to converge if the common ratio r lies between -1 < r < 1

So , If -1 < r < 1, the geometric sequence converges

The geometric progression is A = 0.3 + 0.03 + 0.003 + ...