I need an explanation on how to solve it!

There are 120 ways in which 5  riders and 5 horses can be arranged.

We have,

5 riders and 5 horses,

Now,

We know that,

Now,

Using the arrangement formula of Permutation,

i.e.

The total number of ways \(^nN_r = \frac{n!}{(n-r)!}\),

So,

For n = 5,

And,

r = 5

As we have,

n = r,

So,

Now,

Using the above-mentioned formula of arrangement,

i.e.

The total number of ways \(^nN_r = \frac{n!}{(n-r)!}\),

Now,

Substituting values,

We get,

\(^5N_5 = \frac{5!}{(5-5)!}\)

We get,

The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,

So,

There are 120 ways to arrange horses for riders.

Hence we can say that there are 120 ways in which 5  riders and 5 horses can be arranged.

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Answer:

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Step-by-step explanation:

Juan made more because he makes $14.80 an hour, whereas Lisa makes only $14 an hour.

Enjoy your day! :D

The area principle is a fundamental concept in data visualization that states that the size of a graphical element (such as a bar, a pie slice, or a bubble) should be proportional to the quantity it represents.

In other words, the area of the graphical element should accurately reflect the magnitude of the data it is displaying. This principle is particularly important when comparing quantities, as it allows the viewer to quickly and accurately perceive the relative differences between them. For example, if two bars in a bar chart have the same width but different heights, the viewer may be misled into thinking that the two quantities are closer in magnitude than they actually are.

The area principle is often applied in conjunction with other principles of good data visualization, such as using clear and simple designs, avoiding clutter, and choosing appropriate scales and units. The goal is to create visualizations that are not only aesthetically pleasing but also informative and effective in communicating the underlying data.

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Answer:

0.17 per ounce

Step-by-step explanation:

To find the price per ounce, divide the price by the number of ounces.

price/ number of ounces

A 2 pound bag costs $5.44. We need to find out how many ounces are in 2 pounds.

Each pound has 16 punches. Therefore, 2 pounds will have 32 ounces (16 ounces * 2 pounds=32 ounces).

Now we can find the price per ounce by dividing the price by the number of ounces.

price/ounces

We know the bag is 2 pounds, which is equal to 32 ounces. We also know the bag costs $5.44

price= $5.44

ounces= 32 ounces

$5.44/ 32 ounces

$0.17 / ounces

The asparagus costs 0.17 per ounce.

Therefore , the solution of the given problem of surface area comes out to be 212 square feet of the wall are therefore covered by the design.

The total size of the object can be determined by calculating how much room would be required to completely cover its exterior. When choosing a similar product with a cylindrical form, the environment is taken into account. Anything's total dimensions are determined by its surface area. The amount of water that a cuboid can hold depends on the number of sides that link its four trapezoidal shapes.

Here,

We must first determine the area of each individual form before adding them together to determine the portion of the wall that the design covers.

Taking a look at the rectangle first, we can observe that it has the following area:

=> 120 square feet=  10 feet x 12 feet.

=> 40 square feet =  (1/2)(10 ft)(8 ft).

Consequently, the two triangles' combined area is:

=> 80 square feet =  2 x 40 square feet.

=> (12 square feet) = (1/2)(6 ft)(4 ft).

The total area of all the shapes is as follows:

=> 212 square feet=  120 square feet, 80 square feet, and 12 square feet.

=> 212 square feet of the wall are therefore covered by the design.

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Answer: the answer is 261 ^2 ft!

Step-by-step explanation:

Answer:

x>-6

Step-by-step explanation:

Subtract 8 from both sides.

2x+8−8>−4−8

2x>−12 Divide both sides by 2.

x>-6

Answer: A) “Two X Plus 8 Is Greater Than Negative Four”

B) 2x + 8 > -4, Then subtract 4 from 8 so now it is 2x > -12. Then divide -12 by 2. Your answer will be X > -6 I hope that this helps you

Step-by-step explanation:

-243

Step-by-step explanation:

số dương nhân -3 thì đc số âm, số âm nhân với -3 để đc số dương.

vd: 1. -3 = -3 ;   -3 .-3= 9 ;..... 81 . -3= -243

Answer:

all once will product the term by mines 3

so the final will bt -3 *81 = -243

Answer:

6 boys

Step-by-step explanation:

For every four girls, there is one boy.

4 + 1 = 5

30 / 5 = 6

hope this helps + have a good day :)

the probability of obtaining a sample mean within 500 of the population mean is approximately 0.6827.

To solve this problem, we need to use the central limit theorem which states that the distribution of the sample means will be approximately normal with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.

Given that the population mean is 51800 and the population standard deviation is 4000, we can calculate the standard error of the mean as follows:

Standard error of the mean = 4000 / sqrt(64) = 500

We want to find the probability of obtaining a sample mean within 500 of the population mean. This can be written as:

P(51800 - 500 < X < 51800 + 500)

where X is the sample mean.

We can standardize this interval using the standard error of the mean:

P(-1 < Z < 1)

where Z is a standard normal variable.

Using a standard normal table, we find that the probability of Z being between -1 and 1 is approximately 0.6827.

Therefore, the probability of obtaining a sample mean within 500 of the population mean is approximately 0.6827.

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Answer:

a

Step-by-step explanation:

The relationship is that number sense can be used to solve area models or partial products.

Number sense refers to a set of important numerical skills. It includes the capacity to comprehend numbers and concepts such as more and less. Some people have a better sense of numbers than others.

Number sense is a set of abilities that enable humans to work with numbers. These abilities are essential for performing math as well as many other jobs.

In this case, partial products model of multiplication. This is a model which breaks numbers down into their factors. or place values in order to make multiplication easier. This depicts number sense.

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The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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Answer:

A first one: 5-9

Step-by-step explanation:

_________

Answer:

5-9

Step-by-step explanation:

-9+5 is equal to -4

5-9 equals -4

In a fourth-grade class, students are making cookies to learn about fractions. They are measuring using measuring cups and spoons. This learning is best described as formal standard measurement.

A standard unit of measurement is a quantifiable language that helps everyone understand the association of the object with the measurement. It is expressed in inches, feet, and pounds, in the United States, and centimeters, meters, and kilograms in the metric system.

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The population grew by 4,104 from 2010 to 2015. Rounding it to the nearest hundred, we get 4,100. Therefore, the population grew by 4,100 (to the nearest hundred) from 2010 to 2015.

To find the population after 5 years in 2015, we use the formula:

Population in 2015 = Population in 2010 + Growth Rate ×

Population in 2010= 54,000 + 7.6% of 54,000

= 54,000 + (7.6/100) × 54,000

= 54,000 + 4,104

= 58,1042.

To find the population after 10 years in 2020, we use the formula:

Population in 2020 = Population in 2015 - Decline Rate × Population in 2015

= 58,104 - 3.1% of 58,104

= 58,104 - (3.1/100) × 58,104

= 58,104 - 1,801.224

= 56,302.7763.

Therefore, the growth in the population from 2010 to 2015 is:

Population growth from 2010 to 2015 = Population in 2015 - Population in 2010

= 58,104 - 54,000

= 4,104

Therefore, the population grew by 4,104 from 2010 to 2015. Rounding it to the nearest hundred, we get 4,100. Therefore, the population grew by 4,100 (to the nearest hundred) from 2010 to 2015.

Method 2:Using Compound Interest FormulaWe can also use the compound interest formula to solve this problem.1. Let's consider the population of the city in 2010 as the principal amount. Hence, P = 54,000.2.

The population grew by 7.6% annually for 5 years. Therefore, the growth rate is r = 7.6%, and the time period is n = 5.3. The population fell by 3.1% annually for the next 5 years.

Therefore, the decline rate is r = -3.1%, and the time period is n = 5.4.

To find the population in 2015, we use the compound interest formula. We get:

Population in 2015 = P(1 + r/100)^n

= 54,000(1 + 7.6/100)^5

= 54,000(1.076)^5= 54,000 × 1.41943

= 58,104.825.

To find the population in 2020, we again use the compound interest formula. We get:

Population in 2020 = P(1 + r/100)^n

= 58,104.825(1 - 3.1/100)^5

= 58,104.825(0.969)^5

= 58,104.825 × 0.85936

= 50,018.224.

Therefore, the growth in the population from 2010 to 2015 is:

Population growth from 2010 to 2015 = Population in 2015 - Population in 2010

= 58,104 - 54,000

= 4,104

Therefore, the population grew by 4,104 from 2010 to 2015. Rounding it to the nearest hundred, we get 4,100. Therefore, the population grew by 4,100 (to the nearest hundred) from 2010 to 2015.

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Answer:

17

Step-by-step explanation:

PLS GIVE BRAINLIEST

Repost your question. Separate your words, variables and numbers correctly. Otherwise, it makes no sense.

The method of computing that would result in a greater finance charge is  a. the daily balance method will have a finance charge $1.02 greater than the adjusted balance method.

This refers to the method of accounting that makes use of the owed amount of money at the end of a billing cycle to make its computation on an account after the credits are calculated.

Hence, we can see that when comparing the adjusted balance method to the daily balance method that calculates the interest charges at the end of the day, the daily balance method would have a higher finance charge.

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Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

Answer:

B

Step-by-step explanation:

I got it right on edge.

If an element with a mass of 840 grams decays at a rate of 22.9% per minute, it takes 9.57 minutes for the element to reach 70 grams.

The given is,

Mass of an element decays by 22.9% per minute.

Formula for calculating an element's mass with a decay rate over time,

F = P (1-r)^t  .........(1)

Where, After t periods, the element's mass is F.

P - Mass of element at initial

r - Rate of decay of element

t - Time in minutes

From the give values,

F = 70 grams

P = 840 grams

r = 22.9% per minute

Equation (1) become,

F = P (1-r)^t        

70 = 840 (1-0.229)^t

70 = 840(0.771)^t

0.083 =  (0.771)^t                        

Take logarithm function on both sides,

log 0.083 =  log (0.771)^t      

log 0.083  = t log (0.771)

-2.4889 =t( -0.26006)

t ≅ 9.57 minutes

Therefore, The element takes 9.57 minutes to reach 70 grams, if an element with a mass of 840 grams decays by 22.9% per minute.

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The solution of the system of equation are y=4/9x-5 and 1/9x-2y=-4 is x=18 and y=3.

Two or more expressions with an Equal sign is called as Equation.

The system of equation are:

y=4/9x-5..(1)

1/9x-2y=-4..(2)

Substitute 1 in equation 2

1/9x-2(4/9x-5)=-4

1/9x-8/9 x+10=-4

x/9(1-8)+10=-4

x/9(-7)+10=-4

Substitute 10 on both sides

-7x/9=-4-10

-7x/9=-14

-7x=-126

Divide both sides by 7

x=126/7

x=18

Now plug in x value in equation 1

y=4/9(18)-5

y=8-5

y=3

Hence, the solution of the system of equation are y=4/9x-5 and 1/9x-2y=-4 is x=18 and y=3.

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the answer is 30 because 6 times 5 equals 30 .

Answerjej:

Step-by-step explanation:

If you want to round a number within an arithmetic expression, you should use the ROUND function.

The ROUND function allows you to specify the number of decimal places to which you want to round a given number. It is commonly used in programming languages and spreadsheet software.

The syntax for the ROUND function typically involves specifying the number or expression you want to round and the number of decimal places to round to. For example, if you want to round a number, let's say 3.14159, to two decimal places, you would use the ROUND function like this: ROUND(3.14159, 2), which would result in 3.14.

Using the ROUND function ensures that the rounded number is calculated within the arithmetic expression, providing the desired level of precision in the calculation.

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A relationship between two variables in which one variable increases at the same time that the other increases is called a positive correlation.

This means that when one variable goes up, the other also goes up, and when one variable goes down, the other also goes down.

For example, if you were to graph the relationship between height and weight, you would see that as height increases, weight also tends to increase. This is an example of a positive correlation between the two variables.

Similarly, if you were to graph the relationship between the amount of time spent studying and test scores, you would likely see that as the amount of time spent studying increases, test scores also tend to increase, indicating a positive correlation between these two variables.

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The factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is \(ax^2 + bx + c = 0,\)

Here in the graph we can see that the x coordinate cut by the curve of the quadratic equation is in the negative side of x at -1 and -5.

So the factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.

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Answer:

Check Screenshot

Step-by-step explanation:

Answer: 63

Step-by-step explanation:

\(a_4=-1+8^8\\a_4=63\)

Answer:

19720

Step-by-step explanation:

The procedure which is deemed to be the type of sample in discuss is; representative sample are free of bias.

Representative sampling and random sampling are two techniques used to help ensure data is free of bias. A representative sample on the other hand is a group or set chosen from a larger statistical population according to specified characteristics. A random sample is a group or set chosen in a random manner from a larger population.

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Because sine15. 7°=h/2500

=2500×sine15.7°=h

=676 km

this how you will get h