Find the midpoint of the line segment with the given endpoints. please help !!

The standard deviation for the given distribution is 8.739 using either the direct method or the shortcut method.

Standard deviation is defined as a measure of how spread out numbers are. It is also referred to as the square root of the Variance, and then the Variance is the average of the squared differences from the Mean.

To calculate the standard deviation for the given distribution, we will utilize either the direct method or the shortcut method.

Direct method:

Calculate the mean wage (F) for the distribution:

Mean = (20 + 22 + 27 + 30 + 31 + 32 + 35 + 45 + 40 + 48)/10

Mean = 34

Calculate the differences between each wage and the mean wage:

20 - 34 = -14

22 - 34 = -12

27 - 34 = -7

30 - 34 = -4

31 - 34 = -3

32 - 34 = -2

35 - 34 = 1

45 - 34 = 11

40 - 34 = 6

48 - 34 = 14

Square each of the differences:

(-14)² = 196

(-12)² = 144

(-7)² = 49

(-4)² = 16

(-3)² = 9

(-2)² = 4

1² = 1

11² = 121

6² = 36

14² = 196

Add up the squared differences: 196 + 144 + 49 + 16 + 9 + 4 + 1 + 121 + 36 + 196 = 756

Divide the sum of the squared differences by the number of workers: 756/10 = 75.6

Take the square root of the result to get the standard deviation:

√75.6 = 8.739

Shortcut method:

The mean wage (F) for the distribution:

(20 + 22 + 27 + 30 + 31 + 32 + 35 + 45 + 40 + 48)/10 = 34

The sum of the squares of the differences between each wage and the mean wage:

(20 - 34)² + (22 - 34)² + (27 - 34)² + (30 - 34)² + (31 - 34)² + (32 - 34)² + (35 - 34)² + (45 - 34)² + (40 - 34)² + (48 - 34)² = 756

Divide the sum by the number of workers: 756/10 = 75.6

Take the square root of the result to get the standard deviation:

Standard deviation = √75.6 = 8.739

Therefore,

Read more about standard deviation at: https://brainly.com/question/475676

#SPJ1

Complete question is:

Calculate standard deviation for the following

distribution by direct and shortcut method.

Assume mean as 32.

Serial No. of Workers

1

2

3

4

5

6

7

8

9

10

Wage (F)

20

22

27

30

31

32

35

45

40

48

Answer:

9

Step-by-step explanation:

Answer:

1-12

Step-by-step explanation:

1. left  2. right  3. equal  4. left  5. left  6. equal

sry i was running out of time.

Answer:

d i think

Step-by-step explanation:

The solution is Option D.

No , because (0) is not 2,708.92

The value of the function f ( 0 ) ≠ 2708.92

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = 2,708.92(1.12) - 12

On simplifying the equation , we get

To find the initial amount , substitute x = 0

when x = 0

Substitute the value of x in equation , we get

f ( 0 ) = 2708.92 ( 0 ) - 12

f ( 0 ) = -12

Therefore , the initial amount is -12

Hence , the value of the equation f ( 0 ) ≠ 2,708.92

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

2850

Step-by-step explanation:

19% of 15000 is 2850

\(\textbf{19\% prefer sedans}\)

\(\textbf{The company should plan on manufacturing}\\\\ \textbf{19\% of the cars as sedans}}\)

\(19\% \times 15000 = 2850\)

\(\textbf{2,850 sedans}\)

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

for more such question on graph visit

https://brainly.com/question/19040584

#SPJ8

Answer:

Treatment for HIV/AIDS involves taking highly effective medicines called antiretroviral therapy (ART) that work to control the virus [1][2]. ART involves taking a combination of HIV medicines (called an HIV regimen) to suppress the virus and stop the progression of the disease [1]. The goal of treatment is to reduce the amount of HIV in the body and keep it at a low, undetectable level to help prevent further damage to the immune system and reduce the risk of transmitting HIV to others.

Answer:

where is the rest of the question

Step-by-step explanation:

Answer:

-10, -6

6, 10

Step-by-step explanation:

Let the one number be x.

One number is 3/5 of the other number.

The numbers are x and 3x/5.

Add 4 to one number, the sum equals the other number.

There are two possibilities.

A) x + 4 = 3x/5

B) 3x/5 + 4 = x

Solve A)

5x + 20 = 3x

2x = -20

x = -10

Solve B)

3x + 20 = 5x

2x = 20

x = 10

According to A)

x = -10

3x/5 = -6

According to B)

x = 10

3x/5 = 6

Answer:

-10, -6

6, 10

The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (41 + 46)/2 = 43.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (32 + 32)/2 = 32

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (50 + 51)/2 = 50.5

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 29

Lower quartile (Q1): 32

Median (Q2): 43.5

Upper quartile (Q3): 50.5

Maximum: 53

Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5

the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

To know more about interquartile range visit:

brainly.com/question/29204101

Required trapizoidal approximation is 174.

What is trapezoidal rule?

The trapezoidal rule is a numerical integration method used to approximate the definite integral of a function over a given interval. It is based on approximating the area under the curve of the function by dividing it into trapezoids and summing up their areas.

To use the trapezoidal rule, you first need to choose an interval [a,b] over which to integrate the function. Then, you divide the interval into a number of subintervals of equal width, typically denoted by h = (b-a)/n, where n is the number of subintervals.

Here,

Using the trapezoidal rule, the approximation of the integral is given by:

\(\int_{-4}^4 f(x),dx \)

\( = \frac{1}{2}[(f(-4)+f(-1))(-1-(-4))+(f(-1)+f(0))(0-(-1)) +(f(0)+f(4))(4-0)] \)

\( = \frac{1}{2}[ (4+18)(-1-(-4)) + (18+36)(0-(-1)) + (36+50)(4-0) ]\)

\(\\ = \frac{1}{2}[22(-3)+54(1)+86(4)] \\ = 174\)

Therefore, the correct answer is 174.

Learn more about trapizoidal rule here,

https://brainly.com/question/30401353

#SPJ1

Answer:

-3, 4

Explanation:

x² + x - 12

factorize

x² + 4x -3x - 12

take out common terms

x(x + 4) -3(x + 4)

collect into groups

(x-3)(x+4)

p = -3, q = 4

Answer:

C.  -3 and 4

Step-by-step explanation:

In order to factor a quadratic equation in the form \(ax^2+bx+c\)
we need to find a pair of numbers that multiply to \(ac\) and sum to \(b\).

Therefore, in order to factor \(x^2+x-12\) we need to find a pair of numbers that multiply to -12 and sum to 1.

The only pair of numbers in the table that sum to 1 are:

p = -3 and q = 4

Therefore, the solution is option C.

Answer:

C

Step-by-step explanation:

reasonable is 0 through 50.

mathematically the x values go to infinity both ways.

Answer: 5

Step-by-step explanation:

8/10 = 4/N

0.8 = 4/N

0.8N  = 4

N = 4/0.8 = 5

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

Find out more on scale factors at https://brainly.com/question/2826496

#SPJ1

Answer:

The Hindu Arabic numeration system, which uses a base-10 positional notation, has several advantages over the Roman numeral system. One of the main advantages is that the Hindu Arabic system is much more efficient for performing arithmetic operations, as each digit can represent a specific value, allowing for easier addition, subtraction, multiplication, and division. Additionally, the Hindu Arabic system has a clear and consistent symbol for zero, which is essential for advanced mathematical calculations, but is absent in the Roman numeral system. Another advantage of the Hindu Arabic system is that it is much easier to read and write, as the symbols are simple and intuitive, whereas Roman numerals can be difficult to interpret, especially for larger numbers. Overall, the Hindu Arabic numeration system is more versatile, efficient, and user-friendly than the Roman numeral system.

Source:

Stigler, S. M. (1984). What is a number system? In P. M. Cohn (Ed.), A history of mathematics (pp. 408-426). New York, NY: Wiley.

Answer:

4 yards per sheet and 8 sheets = 32 yards

Step-by-step explanation:

Answer:

8x4=32

So you get 32 yards for 8 sheets (or 96 feet)

Answer:

$104.27 is the amount at 3% and $20895.73  is the amount at 4.4%

Step-by-step explanation:

We are given that Josie owes $21000 in student loans.

Let x be principal at 3% rate of interest

Time = 1 year

Formula:\(A=P(1+r)^t\)

\(A=x(1+0.03)^1\)

A=1.03x

Interest = Amount - Principal

Interest = 1.03x-x=0.03x

So, (21000-x) is the principal at 4.4% rate of interest

Formula:\(A=P(1+r)^t\)

\(A=(21000-x)(1+\frac{4.4}{100})^1\)

A=21924-1.044x

Interest = 21924-1.044x-21000-x=924-2.044x

The total interest she owes for one year was $714.00

So, 0.03x+924-2.044x=714

x=104.27

So, $104.27 is the amount at 3%

The principal at 4.4% rate of interest =21000-x=21000-104.27=20895.73

Hence $104.27 is the amount at 3% and $20895.73  is the amount at 4.4%

Answer:

Option B

Step-by-step explanation:

Given the following question:

9 is 10 times the value
29,461 ⇒ thousands place
\(100\times10=1000\)

Your answer is option B or "53,982". Since the nine is in the hundred's place, and one-hundred times ten, is equal to a thousand.

\(900\times10=9000\)

Hope this helps.

The value of the digit 9 in the number 29,461 that is 10 times the value of the digit 9 is; B: 53,982

We are given the number 29461.

In the given number;

1 is units

6 is tens

4 is hundred

9 is thousands

2 is ten thousands

This means any number that will has to be multiplied by 10 to give the 9000 above will have to be hundreds.

From the given options, only 53982 contains 9 in the hundreds position and so is correct.

Read more about Digits at; https://brainly.com/question/26856218

The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

Learn more about equations at:

https://brainly.com/question/18831322

#SPJ1

Let x represent the original price of the item.

A markup means that the price of the item would increase by 400%

The final price would be

Therefore, the final price would be 4 times the original price.

There are some calculator shortcuts that can be used on a Windows OS and they are:

This refers to the mathematical tool that is used to make scientific calculations to find an expected result and is fully automated.

Hence, we can see that calculator shortcuts in a Windows OS exists and some of them include the combination of keys on a keyboard for quick actions such as clearing and recalling from memory, among many others.

Read more about calculators here:

https://brainly.com/question/164042

#SPJ1

The speed and the course of the aircraft  is 27465 km/h.

A machine or vehicle can fly by obtaining support from the air, and this is how an airplane works. It uses either static lift, dynamic lift provided by an airfoil, or, in certain rare situations, the downward thrust from jet engines to counteract the pull of gravity.

From the figure, let us use cosine formula to calculate the resultant displacement.

B^2 = C^2 + A^2 - 2(A)(C) cosØ

Where C = 580km

A = 360 km

Ø = 153 degree

Substitute all the parameters into the formula

B^2 = 580^2 + 360^2 - 2(360)(580)cos153

B^2 = 466000 - ( - 372084.32 )

B^2 = 466000 + 372084.32

B^2 = 838084.32

Square root both sides

B = 915.5 km

You are told to use a scale of 1 cm to 50 km.

Therefore, B = 915.5/50 = 18.3 cm

The time given are: 09:23 and 09:25.

The time difference = 25 - 23 = 2 minute

Convert minutes to hours

2 minute = 2/60 = 1/30 hours

Speed = distance/time

Speed = 915.5 ÷ 1/30

Speed = 915.5 × 30

Speed = 27465 km/h

To learn more about aircraft from the given link:

brainly.com/question/17445348

#SPJ9

Based on the information, the answer is A). While wages have increased, spending power has mostly remained the same since 2000.

The fact that the cost of living has also increased, eating up much of the gains from wage growth. In addition, many Americans are now working multiple jobs, which can leave them with less time and energy to spend money on discretionary items.

According to the Bureau of Labor Statistics, the average hourly wage for all workers in the United States increased by 16.3% between 2000 and 2021. However, the Consumer Price Index (CPI), which measures the cost of a basket of goods and services, increased by 26.5% over the same period. This means that the purchasing power of the average worker has actually declined by 10.2% since 2000.

The rise of the gig economy has also contributed to the decline in spending power. Many Americans are now working multiple jobs, often in low-wage industries such as food service and retail.

Learn more about wage on

https://brainly.com/question/1622389

#SPJ1

While wages have increased, spending power

a)has mostly remained the same since 2000

b) as wages go up, so does spending power

c) the spending power of men is less than the spending power of the overall population

d) the wages of women have increased faster than the wages of men

Answer:

No they aren't similar different measurements but same angle so they can't be said to be similar

5) the line goes diagnol right throuh the zero from the bottom left corner to the top right.

6) straight line across 3 (3,0)

7) straight line across -2 (-2,0)

8) its a open dot on 1 with the line going right

9) ok so they are both intercecting im pretty sure its a no solution tho

Answer: The first term of the arithmetic  sequence= 41,346.

Step-by-step explanation:

The first term in the Arithmetic sequence (generally denoted by 'a') is  the beginning term of the sequence.

It helps to find the other terms(\(a_n\)) as it gives the initial point to start the sequence.

In the given sequence, the sequence starts from the number 41,346.

That means, the first term of the arithmetic  sequence= 41,346.