1. The sizes of parts sold during one business day in a
department store are 36, 38, 34, 92, 36, 34, 40, 44, 32, 34 . Find the average size of the pants sold. ​

The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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Answer:

\(4a^{4} -11a^{3} + 6a^{2}\)

To describe the center of the data, we can use either the mean or the median.

To describe the variation of the data, we can use either the range or the interquartile range (IQR).

Looking at the dot plot, it seems that the data is somewhat skewed to the right, with a few high-priced outliers. In this case, the median and the IQR may be more appropriate measures of the center and variation, respectively, as they are less sensitive to outliers.

To find the median and IQR:

Arrange the data in order from smallest to largest.

Find the median, which is the middle value. If there are an even number of values, take the average of the two middle values.

Find the first quartile, which is the median of the lower half of the data.

Find the third quartile, which is the median of the upper half of the data.

Calculate the IQR as the difference between the third quartile and the first quartile.

Here are the steps applied to the dot plot:

We can see that the smallest value is about 20 and the largest value is about 120, giving a range of 100 dollars.

The median is approximately 60 dollars, as it is the middle value between the 11th and 12th data points when the data is arranged in order.

The first quartile is approximately 40 dollars, as it isthe median of the lower half of the data points, which are found below the median.

The third quartile is approximately 80 dollars, as it is the median of the upper half of the data points, which are found above the median.

The IQR can be calculated as the difference between the third quartile and the first quartile, which is approximately 40 dollars.

Therefore, the most appropriate measures to describe the center and the variation for this data set are the median and the interquartile range (IQR), respectively. The median is approximately 60 dollars, and the IQR is approximately 40 dollars.

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

Answer:

3 and 1/4

Step-by-step explanation:

Answer:

An inequality correctly shows the relationship between the total cost of the two plumbing companies is \(675+24.5x \leq 650+25.75x\)

Step-by-step explanation:

Pat’s Plumbing Company

Cost of inspecting house = $650

Cost of labor per hour = $25.75

Cost of labor in x hours = 25.75x

Total cost = 650+25.75x

AAA Plumbing

Cost of inspecting house = $675

Cost of labor per hour = $24.50

Cost of labor in x hours = 24.5x

Total cost = 675+24.5x

We are given that AAA Plumbing will cost no more than Pat’s Plumbing Company

\(675+24.5x \leq 650+25.75x\)

Hence An inequality correctly shows the relationship between the total cost of the two plumbing companies is \(675+24.5x \leq 650+25.75x\)

Answer:

carlo scored 65 out of 100 item in math. what percent of the test did he get correctly

Answer:

86/3

Step-by-step explanation:

28.6

Answer:

Step-by-step explanation:

Answer:

10.5 mph

Step-by-step explanation:

To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.

For Monday's run:

Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour

To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour

Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.

Answer:

12

Step-by-step explanation:

In the given circle circumference of the circle is = 72.

Since circumference of the circle = 2πr

\(2\pi r=72\)

\(\frac{2*22}{7*r}=72\)

\(r=\frac{72*7}{44}=\frac{504}{44}=\frac{252}{22}=\frac{126}{11}=11.45\)

\(=\pi r \;theta /180=\frac{22}{7*11.45}*\frac{60}{180}\)

\(11.99=12(About)\)

Thus, Answer = 12

~lenvy~

Answer:

ILOVEMYCOUNTRY!!!

Step-by-step explanation:

F........U.......C.......K.....YOU.....BRO.......USE UR BRAINS !!!!

Answer:

=$64.78

Step-by-step explanation:

If. 50 copies. = $2.05

than. 1,580 copies = ?

1580/50 × $2.05

=3239/50

=64.78

Therefore if the cost of 50 copies is $2.05 than the cost of 1,580 copies is $64.78.

Answer:

$64.78

Step-by-step explanation:

 Proportions:

 50 copies >>>> $2.05

1580 copies >>>> $C

C = 1580"2.05/504

C = 64.78

Answer:

3 and 4 is correct

Step-by-step explanation:

that's the only 2 numbers that is correct

The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

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The question is incomplete. The complete question will be -

Answer:

The maintained speed while hiking= 3 miles per hour

Let t be the time which represent the independent variable.

Also we know that  Distance= Speed × Time

⇒ Distance traveled while hiking=3 ×t=3t

Let h represent the distance function in miles, and h(t) the dependent variable.

Then h(t)=3t

When we put t=4

Then h(4)=3×4 =12 miles.

Step-by-step explanation:

The teacher can thus use social sciences as a vehicle to develop mathematical skills by facilitating the development of skills such as data interpretation and analysis.

As an instructor, I would use social sciences to develop mathematical skills in the following manner:Consider a social science topic like demography. In this case, a teacher could use mathematics to assist students in interpreting population statistics.

Teachers might guide students to gather information about population size, growth rate, and geographical distribution from various countries and then use statistics to analyze the data.

For example, a teacher could give students graphs or charts to help them understand population growth rates. They can be asked to make comparisons and identify trends.

In this way, students' understanding of the population is improved, as is their mathematical reasoning.Aside from using mathematics to interpret population statistics,

the teacher can also incorporate mathematical skills development in social sciences by using methods that involve understanding and analysis of data. In other words, students learn how to use data to reach conclusions and make decisions.

They learn how to interpret data and how to extract information from it.This method of teaching creates opportunities for the use of the same skills in different contexts and areas of learning.

It enables students to see connections between subjects and fosters an integrated approach to learning.

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

4x^2 - 12x + 9

Explanation:

(2x - 3)^2

(2x - 3)(2x - 3)

2x(2x - 3) -3 (2x - 3)

4x^2 - 6x - 3 (2x - 3)

4x^2 - 6x - 6x + 9

4x^2 - 12x + 9

As reported by the Bureau of Labor Statistics, the inflation rate of CPI for Airfare from 2263 and 22264 is - 0.06198 ( disinflation).

We have given that,

The CPI for Airfare in 2263 = 579.6

The CPI for Airfare in 2262 = 617.9

Base year is 1914 ,

Following the formula which is used to calculate inflation rate of airfare from 2263 to 2263

Inflation= (CPI₂₂₆₃ - CPI₂₂₆₂)/CPI₂₂₆₂

= (579.6 - 617.9)/617.9

= - 153.8/617.9

= - 0.06198

= 6.198%

Since , the inflation is negative this means that the economy is experiencing disinflation of 6.198%.

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The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

Option D is the correct answer.

A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.

We have,

The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.

However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.

Thus,

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

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There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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Answer:

FIRST ONE "Deb sold vases for two years, neither sold nor bought the next year and then sold bases for two more years"

Step-by-step explanation:

Notice the number of bases in debs collection is DECREASING as the years passes for the first and third period. This is she is selling her vases but in the middle the number is the same (two point in the same horizontal line) this means she neither sold nor bought any vase in that period.

Answer:

do you maybe have a picture to go with this??

The ordered pair that is a solution of the system is (-3, -3), the second option.

There are two ways of finding this.

You can use your graph and identify which of the given pointes lies in the region where the two shaded areas intersect.

Another way, is replacing the values of the coordinate points in both inequalities and checking that both are true when evaluated in the point.

Here we will use the graph, because you already had it (and you can see a more precise graph in the image at the end).

We can see that the region os solutions is on the left side of the graph, and the only point that lies on there is (-3, -3)

So that point is the solution.

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Answer:

C

Step-by-step explanation:

to find the unit rate divide miles travelled by petrol used , that is

60 \(\frac{2}{3}\) ÷ 4 \(\frac{2}{3}\) ← change mixed numbers to improper fractions

= \(\frac{182}{3}\) ÷ \(\frac{14}{3}\)

• leave first fraction, change ÷ to × , turn second fraction ' upside down'

= \(\frac{182}{3}\) × \(\frac{3}{14}\) ( cancel 3 on numerator/ denominator )

= 182 × \(\frac{1}{14}\)

= \(\frac{182}{14}\)

= 13

the car travels 13 miles per gallon of petrol

Answer:

Step-by-step explanation:

The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:

m = 58 + 7

This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

6.11/104