Chapter 5 • Measures of Central Tendency | 171
Calculate the median annual income of a group of employees from
the data given below:
5.
Annual income in Rs.
Under 2000
No. of Employees
15
2000 - 2999
32
3000 - 3999
65
4000 - 4999
79
5000 - 5999
90
6000 - 6999
57
7000 - 7999
36
8000 - 8999
14
nd the median wage of a labour from the following table​

Answers

Answer 1

Answer: Rs. 5,033.30

Step-by-step explanation:

Total employees = 15 + 32 + 65 + 79 + 90 + 57 + 36 + 14 = 388

Median position = 388/2 = 194

Median therefore lies in range where cumulative employees is 194:

= 15 + 32 + 65 + 79 = 191

Median therefore lies in range after 4,000 - 4,999 which is 5,000 - 5,999.

Median = Lower limit of median range + range of median range * (median position - cumulative frequency up to median range) / frequency of median range

= 5,000 + 999 * (388/2 - 191)/90

= 5,000 + 33.3

= Rs. 5,033.30


Related Questions

10(-2.5)(-4) what is the answer plz explain

Answers

Answer:

100

Step-by-step explanation:

10(-2.5) = -25 since negative times positive is negative.

-25(-4)=100 since negative times negative is positive.

Basically, the negative inverts the sign so a negative negates a positive yielding a negative while a negative negates a negative yielding a positive.

Think of it as not not vs not

What is the domain and range ?

Answers

Domain is the set of first numbers of the order pairs.

Range is the set of second numbers of the ordered pairs.

Answer:

Domain: [1,∞), {x|x≥1}

Range: (−∞,∞), {y|y∈ℝ}

Step-by-step explanation:

The equation of that line is [tex]y^{2}=x-1[/tex], and the domain and range of [tex]y^{2}=x-1[/tex] is:

Domain: [1,∞), {x|x≥1}

Range: (−∞,∞), {y|y∈ℝ}

Hope this helps! :)

PLEASE HELP ASAP!!!
A
B
C
D

Answers

Answer:

A.

Step-by-step explanation:


The prime factorization of
___

Answers

Answer:

80

Step-by-step explanation:

Answer:

The correct answer is 80.

Step-by-step explanation:

=2^4×5

=2×2×2×2×5

=4×2×2×5

=8×2×5

=16×5

=80#

what ratio is equivalent to 2:3. Your choices: 18:27 20:30 14:21

Answers

Answer:

20:30

Step-by-step explanation:

you can multiply both by 10

Answer:

all of them are equivalent.

Step-by-step explanation:

2:3 times 9 would be 18:27

2:3 times 10 would be 20:30

2:3 times 7 would be 14:21

I need help what is 11/15 + 2/3

Answers

Answer: 1.4

Step-by-step explanation:

Answer

7/5

Step-by-step explanation:

i looked it up

Match each term with the part of the expression 9m4−12m−6−12 it best describes. All terms will be used ONLY once.

Answers

Answer:

see below...

Step-by-step explanation:

-12=constant [# doesn't change]

4=degree [exponent]

-6m= term [variable or 3]

9=coefficient [first #]

The degree of the polynomial is 9The constant term is -12The equation also contains four termsThe correct match for the coefficient is 9

The given equation is a polynomial function of degree 4. It is expressed as:

9m^4−12m−6m−12

From the equation, the following are true:

The degree of the polynomial is 9The constant s term is the term not attached to a variable. Hence the coefficient is -12The equation also contains four termsThe coefficients are 9, -12 and -6. Hence the correct match for the coefficient is 9

Learn more on polynomials here: https://brainly.com/question/15702527

Please someone help me I don’t understand anything

Answers

Answer:

$4,240

Step-by-step explanation:

$4,000 • 0.06 (6%) = 240

$4,000 (original amt.) + $240 = $4,240

WILL MARK BRAINLIEST Every month Jordan puts $14 into her bank account. Her grandma puts additional money into Jordan's bank account every month. After 12 months, Jordan has $216 in her bank account. How much did Jordan's grandma put into the account each month?

Answers

Jordan puts 14 per month for 12 months:

14 x 12 = 168 total.

Subtract the amount Jordan put in from the total:

216 - 168 = 48

Her grandma put a total of 48 in the bank. Divide that by 12 months:

48/12 = 4

Her grandma put $4 per month in the bank.

Answer:

The answer is his grandma puts $4 in per month.

Step-by-step explanation:

Take 14 and multiply it buy how many months are in a year. That equals 168. take 216 minus 168. That's 48. Divide 48 by 12 and that gets you 4. I hope this helps!

The coordinate grid shows three points P, Q, and R:
1112
14
15
The distance between Q and R is
units. (5 points)
T

Answers

Answer:

you can just count the distance on the graph.. it's 5 units from Q to R

Step-by-step explanation:

Answer:

THE OTHER PERSON THAT ANSWERED GOT IT VERY WRONG! IT IS 10 UNITS AWAY!

Step-by-step explanation:

If you look closely it is counting by 2. Which means is going 2 4 6 8 12. Now you have to count by 2 giving u the answer. Is going to be ten because if u start from q going to r is 10 units away.

write the possible range of the measurement 214 ounces +1.2% round to the nearest hundredth if necessary

Answers

9514 1404 393

Answer:

  [211.43,216.57]

Step-by-step explanation:

1.2% of 214 is ...

 0.012 × 214 = 2.568 ≈ 2.57 . . . . rounded to hundredths

Then the minimum possible value is ...

  214 -2.57 = 211.43

and the maximum possible value is ...

  214 +2.57 = 216.57

The range is 211.43 to 216.57.

i NEED HELP plz i will pay u 15 points if u help meeee

Answers

Answer:

1. 9/10  

2. 14/15

3. 1   1 /6 or 7/6

Step-by-step explanation:

1. Change the 5, the denominator to 10.  8/10

then add to 1/10  8/10 + 1/10= 9/10

2. Change both denimnators to 15. You will then get 9/15 and 5/15.

Add them together and get 14/15

3. Change both denominators to 6 and you will get 3/6 and 4/6.

Add them together to get 7/6.

If you want to make it into a mixed fraction it would be 1 1/6 (as in one and one-sixth)

Answer:

1. 9/10  

2. 14/15

3. 7/6 or 1 1/6

Step-by-step explanation:

Please help I’ll mark as brainliest

Answers

Answer:

B

Step-by-step explanation:

Angle ABD is congruent to angle CBD--->Definition of perpendicular lines

Segment DB is congruent to Segment Db--->Reflextive property of congruence

Angle ADB is congruent to angle CDB--->angle bisector theorem

2 angles and 1 side is congruent, therefore the triangles are congruent by the ASA Congruence Theorem

2X -3 =12 what is the answer

Answers

Answer:

Step-by-step explanation:

2x-3= 12

   +3  +3

2x  =  15

/2       /2

x=      7.5

Answer:

x = 7.5

Step-by-step explanation:

So the equation looks like this:

2X -3 =12

So we are first going to get rid of -3 by adding 3 to both sides of the equal sign:

2X -3 = 12

    + 3   +3

SO the equation looks like this now:

2x = 15

Now we are going to segregate the variable x by dividing 2x and 15 by 2:

2x/2 = 15/2

x = 7.5

So in order to check our work we are going to substitute 7.5 where the x variable is in the equation:

2X -3 =12 or 2(7.5) - 3 = 12

2(7.5) - 3 = 12

15 - 3 = 12

12 = 12

So our answer to what the variable x equals is 7.5.

I hope this helps you!!

Is y=20x+1 linear or nonlinear?

Answers

Answer:

linear

Step-by-step explanation:

linear means it is straight line and the x is to the power of 1 so yes

Circle the two equations that represent the linear function graphed below.
Note: One equation should be in slope-intercept form and one equation should be in standard form!

Answers

Answer:

poop lol

Step-by-step explanation:

I NEED HELP WITH THESE TWO QUESTIONS PLZ DO NOT ANSWER IF YOU CANNOT EXPLAIN THE ANSWER

Answers

9514 1404 393

Answer:

  1. asymptotes: x=-6, x=6, y=0; zero: x=0

  2. 20 blue fish

Step-by-step explanation:

1. The vertical asymptotes are where the denominator is zero. It factors as (x-6)(x+6), so will have zeros at x=-6 and x=6.

The horizontal asymptote is at the limit when x goes to infinity. Here, the ratio of highest-degree terms is 6/x, so the value goes to zero as x gets large.

The zero is where the numerator is zero, at x=0.

In summary:

vertical asymptotes: x = ±6horizontal asymptote: y = 0zero: (0, 0)

__

2. 60% are red, so 40% are blue. The difference in percentages is 60%-40% = 20%. The percentage of blue fish (40%) is twice the difference (=2×20%), so the number of blue fish is twice the difference in numbers.

  blue fish = 2×10 = 20 fish

Check

There are then 20+10=30 red fish, so 20+30=50 fish total. Reds are 30/50 = 60% of the total.

Additional comment

I find it often works well to work with ratios, which I can often do in my head. Other folks like to see equations. Here, we could write equations like ...

  r = 60%(r + b) . . . . reds are 60% of the total

  r - b = 10 . . . . . . . . 10 more reds than blues

We want the value of b, so we can eliminate r by substituting for it:

  r = 10 + b . . . . from the second equation above

  (10 +b) = 0.60((10 +b) + b) . . . . substitute for r

  10 +b = 6 + 1.2b . . . simplify

  4 = 0.2b . . . . subtract b+6

  20 = b . . . . . . multiply by 5 (there are 20 blue fish)

Dale drove 441 miles in 7 hours. At the same rate, how long would it take him to drive 315 miles?​

Answers

Answer:

5 Hours

Step-by-step explanation:

He’s going 63 MPH

441/7 = 63 MPH

315/63 = 5 Hours

Answer:

5 hours

Step-by-step explanation:

First, divide 441 miles by 7 hours to get a rate of 63 miles/1 hour. Then divide 315 miles by 63mph to get 5 hours.

Identifying Rigid Transformations
The two triangles created by the diagonal of the
parallelogram are congruent. Recall that the opposite
sides of a parallelogram are congruent.
Which transformation(s) could map one triangle to the
other?
O reflection
O translation
O reflection and translation
O rotation and translation

Answers

Answer:

Rotation and Translation

Step-by-step explanation:

Answer:

(d.) Rotation and Translation

Step-by-step explanation:

edge 2021

i need help with 20000X2232+23424X234+243=?

Answers

Answer:

50,121,459

That's the answer :)

In a certain state's lottery, 40 balls numbered 1 through 40 are placed in a machine and 7 of them are drawn at random. If the 7 numbers drawn match the 7 numbers a player has chosen, in any order, she or he win $2,500,000. Alternatively, if 6 of the numbers drawn match 6 of the 7 numbers a player has chosen, in any order, the player wins $40,000, and if 5 of the numbers drawn match 5 of the 7 numbers a player has chosen, in any order, the player wins $10,000.

Required:
a. What is the probability a player who buys one ticket will win the $2,500,000 prize?
b. What is the probability a player who buys one ticket will win the $10,000 prize?

Answers

Answer:

Step-by-step explanation:

From the given information;

The total number of ways to choose 7 number = [tex]^{40}C_7[/tex]

Number of ways to choose 7 correct numbers = [tex]^{7}C_7[/tex]

The probability P( win $2500000) is;

[tex]= \dfrac{^{7}C_7}{^{40}C_7}[/tex]

[tex]= \dfrac{\dfrac{7!}{7!(7-7)!} }{\dfrac{40!}{7!(40-7)!}}[/tex]

[tex]= \dfrac{1 }{\dfrac{40!}{7!(40-7)!}}[/tex]

[tex]= \dfrac{1 }{\dfrac{40!}{7!(33)!}}[/tex]

[tex]= \dfrac{1 }{18643560}[/tex]

= 5.36 × 10⁻⁸

The probability P( win $10000) is:

[tex]= \dfrac{^7C_5 \times ^{33} C_2}{^{40}C_7}[/tex]

[tex]= \dfrac{ \dfrac{7!}{5!(7-5)!} \times \dfrac{33!}{2!(33-2)!} }{ \dfrac{40!}{7!(40-7)!}}[/tex]

[tex]= \dfrac{ \dfrac{7!}{5!(2)!} \times \dfrac{33!}{2!(31)!} }{ \dfrac{40!}{7!(33)!}}[/tex]

[tex]= \dfrac{ 21 \times 528 }{ 18643560}[/tex]

[tex]= \dfrac{ 11088 }{ 18643560}[/tex]

[tex]=\dfrac{462}{776815}[/tex]

= 5.95 × 10⁻⁴

I need help with this questions, please help ill mark brainliest..

Answers

Answer:

Options (1), (3) and (5)

Step-by-step explanation:

Equation that represents the relationship between the three sides of a triangle is,

a² + b² = c²

Where c = longest side of the triangle

If the length of the given sides satisfy the equation, triangle formed by the sides will be a right triangle.

Option A.

27 in, 36 in, 45 in

(45)² = (27)² + (36)²

2025 = 729 + 1296

2025 = 2025

True.

Option 2.

18 in, 22 in, 28 in

(28)² = (18)² + (22)²

784 = 324 + 484

784 = 808

False.

Option 3

10 in, 24 in, 26 in

(26)² = (10)² + (24)²

676 = 100 + 576

676 = 676

True.

Option 4

20 in, 21 in, 31 in

(31)² = (20)² + (21)²

961 = 400 + 441

961 = 841

False.

Option 5

28 in, 45 in, 53 in

(53)² = (28)² + (45)²

2809 = 784 + 2025

2809 = 2809

True.

Therefore, Options (1), (3) and (5) will be the correct options.

The bill for the repair of your bicycle was $180. The cost of the parts was $105. The
cost of the labor was $25 per hour. How many hours did the repair work take?

Answers

Answer:

$180-$105= $75

75/25=3 hours

Step-by-step explanation:

Based on the graph, which inequality is correct for a number that is to the right of -4?

A number line is shown from negative 8 to 8 at increments of 1. A circle is shown at negative 4. The entire portion of the number line to the right of negative 4 is shaded.

2 < −4

Answers

Answer:

yo- ehm I think itssss 2 > -4

Step-by-step explanation:

Please help me out.
Can the lengths 40, 60, and 80 form a supplementary triangle?

Answers

Answer: Yes

Step-by-step explanation:

A supplementary triangle has sides adding up to 180°.

We have the side lengths 40, 60, and 80.

To find out if it is a supplementary triangle, we will add all the sides.

40 + 60 + 80 = 180

We get 180° as our answer when we add.

We got 180°, so the answer is yes, it can.

Best of Luck!

Answer:

yes.

Step-by-step explanation:

Any angle that adds up to 180 is a supplementary angles.

based on your examples 40, 60, 80, if you sum it up...

it equates to 180. so the answer is yes.

A student's parents offer him one of two options to receive scholarship money for college.

Option A: Deposit $17,000.00 into his savings account and then add an additional $1,250.00 each day for 30 days

or

Option B: Deposit $0.50 into his savings account and then triple that amount each day for only 10 days

When rounded to the nearest cent, how much money is deposited into his savings account on the last day (day 30) for Option A, and how much is deposited into his savings account on the last day (day 10) for Option B? If the student keeps only what is deposited on the last day, which option should he choose?


Option A Versus Option B
Option A Option B
Day Amount Deposited Day Amount Deposited
0 $17,000.00 0 $0.50
1 $18,250.00 1 $1.50
2 $19,500.00 2 $4.50
A = $142,845.76, B = $29,524.50; B, because he receives $113,321.26 more
A = $54,500.00, B = $10.50; A, because he receives $54,489.50 more
A = $37,500.00, B = $59,049.00; B, because he receives $21,549.00 more
A = $54,500.00, B = $29,524.50; A, because he receives $24,975.50 more

Answers

Answer:

option a

Step-by-step explanation:

it is because $17,000.00 will make you have more money and have better things to do in the nearest future

The amount received by student in option A and B are A = $54,500.00, B = $29,524.50, Option A is better because student receives $24,975.50 more.

What is Simplification?

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

(A)

Given that,

Amount deposit by student in starting = $17,000

Also, student add $1250 each day for 30 days,

Amount added in 30 days = 1250 x 30 = $37500

Total amount in account = 17000 + 37500 = 54500

The final amount in account is $54500.

(B)

Amount deposited into saving account = $0.50

Also, student triple that amount for 10 days,

Amount in account in 10 days = 0.50 x 3¹⁰ = 29524.5

Option A is a better deal because the student receives $24,975.50 more.

                                                 

To know more about Simplification on :

https://brainly.com/question/2804192

#SPJ2

Brad works in the sales department for a furniture store. He earns a salary of $2,500 a month and a 3% commission if he meets his quota of $10,000 in sales for the month. If he doesn’t meet his quota but sells at least $5,000 worth of furniture, he gets 1.5% commission off of his sales. Brad sold $7,000 worth of furniture in May. What were his total earnings in May? ASAP PLEASE !!!!!!!!

Answers

Answer:

2605

Step-by-step explanation:

2500 + (7000*1.5%)

2500 + 105

2605

Rosetta owns a wedding photography business. For each wedding, she charges $100 plus $50 per hour of work. A linear equation that expresses the total amount of money Rosetta earns per wedding is y= 50x+100. What are the independent and dependent variables? What is the y-intercept and the slope?

a. The independent variable (z) is the amount of time Rosetta shoots photos. The dependent variable (y) is the amount, in dollars, Rosetta earns for a wedding.
b. Rosetta charges a one-time fee of $100 (this is when 2-0), so the y-intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50.
c. The independent variable (x) is the amount in dollars, Rosetta earns for a wedding. The dependent variable (y) is the amount of time Rosetta shoots photos.
d. Rosetta charges a one-time fee of $100 (this is when : 0), so they intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50.
e. The independent variable(x) is the amount of time Rosetta shoots photos.

Answers

The options are not clear enough, so i have attached it.

Answer:

A: The independent variable (x) is the amount of time Rosetta shoots photos. The dependent variable (y) is the amount, in dollars, Rosetta earns for a wedding.

Rosetta charges a one-time fee of $100 (this is when x = 0), so the y-intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50

Step-by-step explanation:

We are given the equation of total amount of money Rosetta earns per wedding as;

y = 50x + 100

Where x is number of hours.

Now, the independent variable will be x because it doesn't depend on any other variable whereas the dependent variable will be y because it depends on how many hours which is x.

Now, the y-intercept occurs when x = 0.

Thus;

y = 50(0) + 100

y = 100

Thus,she charges a one time fee of $100, so the y-intercept = $100 at x = 0.

From slope intercept equation which is;

y = mx + c and comparing with y = 50x + 100, where m is the slope, we can see that m = 50.

Thus, since she earns $50 per hour, the slope is 50.

The correct option is Option A.

What is the y-intercept of y = 3 – 4x? Choose 1 answer: (-4,0) (3.0) (0.-4) (0.3)​

Answers

Answer:

it is (3.0)

Step-by-step explanation:

because the 3 is the second number without an variable

A gardener is planting 2 types of trees: the oak tree is three feet tall and grows at a rate of 15 inches per year. The maple tree is four feet tall and grows at a rate of 10 inches per year. Determine how many years it will take for the trees to reach the same height

Answers

It would take 5.7 years
Other Questions
What divides British territory from Spanish territory ANSWER THIS ASAP!! THIS IS DUE IN 15 MINUTES!!Which statement is accurate about the Amazon Basin?The largest cities in Brazil are located in the Amazon.The Amazon contains the world's richest source of plants and animals.The highest point in South America lies in the Amazon.The Amazon is a major tourist attraction because of its protected national parks.I will give brainliest to the best answer!! The value of expression 2a ^ 2 + 2b ^ 2 - ab for a-2, b-lis (a) 2 (b) 8 (c) 6 (d) 10 plzzz help me i hate math:( There are ____ members of the _____, which is the highest court in the land. A. three. . . 13th Circuit court. five. . . Michigan Supreme Court. nine. . . US Supreme CourtD. eleven. . . federal court of appeals Will mark brainliest for whoever answers "Did you eat something that didn't agree with you?" asked Bernard.The Savage nodded, "I atesoma mustard nothing civilization What is the domain of the function y=2x-5? Match each painting with the correct art movement,Luncheon of theBoating Party byAuguste Renoir?ImpressionismThe Massacre atChios by EugneDelacroix?CubismWoman with aGuitar byGeorges Braque2Romanticism Which type of energy transformation is controlled by chloroplasts?Achemical to mechanicalBmechanical to electricallight to chemicalDheat to electricalplease hurry!!! How are the rule of law, judicial review, and judicial independence key elements of a democracy?5 Sentences or more please. Mariyam, a marine biologist, measures the length of a great white shark at 4.5 m long and its teeth at an average of 50 mm long. She wants to convert both measurements to centimeters. In this scenario the mother forced the sisters to compromise. She assumed that both sisters wanted the same thing for the same reason. What should the mom focus on to improve her family relationships? a. family members should listen b. family members should trust each other c. family members have different needs d. family members should be flexible A newborn baby weighs 3.136 x 10 units. Which unit of measure was used?gramsouncespoundstons What is this please hurry explain about types of computer Plz fast Choose the right family member.Le frre de ma soeurA. Mon neveuB. Mon frreC. Mon cousinD. Mon oncleplease help Find the equations of the line that:A: Passes through the point (1,7) and (4,10)B: Passes through the point (-2,10) and (4,10) Select all that apply.Read the following paragraph, and answer the question.Keeping my mind on my writing is not easy when I stay at my grandmother's ocean-side cottage. Just about the time that I am going along pretty well, I glance out the window and see two huge bald eagles swooping and tumbling in a spectacular aerial display. Naturally, I have to leave my desk and rush to the doorway to watch the performance as long as it lasts. Then, as if a conspiracy were trying to keep me from working, two otters poke their shiny heads out of the water and hang there motionless. They watch to see what I am doing. As soon as I return to my desk, seagulls wheel into my window view and screech as they search for scraps of food. Within minutes, this confusion of sounds stirs my aging St. Bernard out of a deep sleep, and he hauls his massive, lumbering body over to be petted. Mickey, my cat, can't stand to see any partiality, so he is soon pacing back and forth across my ankles. As I wiggle my bare toes to tease Mickey, I realize that my legs have become stiff. I remember that I have not had my daily ride. So, I slip on my sandals, step out the door, spring onto my bike, and pedal off down the beach. Meanwhile, the composition in my typewriter sits and grows colder.What are two details for the paragraph?So, I slip on my sandals, step out the door, spring onto my bike and pedal off down the beach.Keeping my mind on my writing is not easy when I stay at my grandmother's ocean-side cottage.Then, as if a conspiracy were trying to keep me from working, two otters poke their shiny heads out of the water and hang there motionless.Meanwhile the composition in my typewriter sits and grows colder. Which of these sentences sounds most like a review of a discussion? We spend half the time discussing plot and half the time looking for themes. We underlined sentences in each story that we thought were related to theme. We talked about movies for a while, then answered the assigned questions. We decided that one theme of both stories is the stress caused by changing schools.