mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.​

Answers

Answer 1
Problem:-

mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.

Solution:-

Total mean score = 40

[tex]mean \: = \frac{sum \: of \: observation}{number \: of \: observations} [/tex]

sum of observations

= mean × no of observations

= 40×100

= 4000

After the replacement, sum of new observation will be

=4000-83+53

= 3970

mean of new the observation will be

[tex] = \frac{3970}{100} [/tex]

[tex] = 39.7[/tex]

[Hence, the actual mean is 39.7]


Related Questions

Can someone please help! Thank you so much!

Answers

Answer:

a. 3x (150 degrees)

b. 9x (180 degrees)

c. 3x - 20 (220 degrees)

Help quick! I'll mark your answer as the brainliest if your answer is correct!
Jin is asked to graph this system of equations:
3x + 4y = 3
4y + 3x = 4
How many times will the lines intersect?

A. The lines will not intersect, because this system has no solutions.
B. The lines will intersect infinitely many times, because they are identical.
C. There is no way to tell without graphing the lines first
D. The lines will intersect once, because this system has one solution.

Answers

Answer:

They would never intersect because they are parallel lines. You can tell they are parallel lines because they have the same slope and they have a different y-intercept. However, this doesn't mean that there was no solutions, there were, thats how i was able to tell what their slopes and y-intercepts were. So if there is an answer that you can choose from that explains that they won't intersect because they are parallel then that is the correct answer. It may be C, but I would see if there is another option.

which graph represents a function

Answers

a see is both graph B and D

a) The nth term of a sequence is given by 3n + 5. Write down the first four terms of the sequence.​

Answers

If you plug in n = 1, then you get 3*n+5 = 3*1+5 = 3+5 = 8. So 8 is the first term.

Repeat for n = 2 and you should get 3n+5 = 3*2+5 = 6+5 = 11. Or simply add 3 to the last term 8 to get 3+8 = 11.

Repeat for n = 3 and n = 4 to get the third and fourth terms to be 14 and 17 respectively.

Answer: The first four terms are 8, 11, 14, 17

Caroline earns $49000 a year, and her friend Jennifer earns $51000 a year but doesn't belong to a health fund. The tax rule this year is $40000 and above pay $5000 plus 40 cents in the dollar in tax on anything over $40000 per annum and $50000 and above pay $ 9000 plus 30 cents in the dollar in tax on anything over $ 50,000per annum, plus 2% of her income if he is not in a health fund.

Answers

Answer:

Caroline has to pay $8600 taxes

Jennifer has to pay $10320 taxes

Step-by-step explanation:

I guess the question is who has to pay how much taxes, right ?

Caroline earns $49000, and I guess, she belongs to a health fund.

she has to pay $5000 for the first $40000.

and for the remaining $9000 she has to pay $0.40 per dollar.

that means 9000×0.4 = $3600

and no penalties for no health fund.

so altogether $5000 + $3600 = $8600 taxes

Jennifer earns $51000 and did not belong to a health fund.

she has to pay $9000 for the first $50000.

and for the remaining $1000 she had to pay $0.30 part dollar.

that means 1000×0.3 = $300

and 2% of the total income because no health fund

51000×0.02 = $1020

so, altogether $9000+$300+$1020 = $10320 taxes

Sally ha estado midiendo una flor para un proyecto científico. La flor ha crecido \dfrac{1}{2} 2 1 ​ start fraction, 1, divided by, 2, end fraction centímetro cada día y ha crecido un total de 222 centímetros desde que empezó a medirla.

Answers

1 is the right answer

Answer:

Step-by-step explanation:

ok bro la primera es

The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29; 30; 32; 33; 33; 34; 35; 37; 39; 40. Calculate the mean, median and mode.

Answers

Answer: Mean = 27.33

Median = 27

Mode = 25 and 27

Step-by-step explanation:

1. Mean is the addition of all the numbers divided by how many numbers that are there.

Mean = (16 + 17 + 19 + 20 + 20 + 21 + 23 + 24 + 25 + 25 + 25 + 26 + 26 + 27 + 27 + 27 + 28 + 29 + 30 + 32 + 33 + 33 + 34 + 35 + 37 + 39 + 40) / 27

Mean = 738/27

Mean = 27.33

2. Median is the number in the middle in the ascending or descending other and this will be:

Median = 27/2 = 13.5 = 14th number = 27.

The median is 27.

3. Mode is the number that appears most and this will be 25 and 27 since they appear thrice which is the most times

Daniela buys records for $9 each
if daniela buys 4 records how much money will she spend?
Money spent( )

Answers

Answer:36$

Explanation: if each record is 9$ and you buy for you simply multiply 9x4 and end with 36

Answer:

36

Step-by-step explanation:

9×4=36 so money spent will be 36 dollars

Which function is shown in the graph below? Please hurry I’m being timed!!!

Answers

It is option 4 i think i used my graphing calculator and it looked similar

Describe the birth and death rates of this population

Answers

Birth Rate is the term used to define the number of babies born every year per 1000 people in a population. Death Rate is the term used to define the number of deaths every year per 1000 people in a population. Natural increase in a population occurs where Birth rate is greater than death rate.

The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion differs from 30%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.5. Find the P-value for a two-tailed test of hypothesis.

Answers

Answer:

The appropriate answer is "0.0124".

Step-by-step explanation:

Given:

Test statistics,

z = 2.5

By using the z-table,

p value for one tailed test will be:

= 0.0062

For two-tailed test,

⇒ [tex]p \ value = 2\times 0.0062[/tex]

                 [tex]=0.0124[/tex]

The length of a rectangle is 3 times the width. The perimeter of the rectangle is 64 cm. Show the equation that would be used to find the dimensions of the rectangle.

Answers

Answer:

64 = 2(3x + x)

Step-by-step explanation:

Perimeter of the rectangle = 64 cm

Width of the rectangle = x

Length of the rectangle = 3x

Perimeter of a rectangle = 2(length + width)

The equation is

64 = 2(3x + x)

64 = 6x + 2x

64 = 8x

x = 64/8

x = 8 cm

Width of the rectangle = x = 8 cm

Length of the rectangle = 3x

= 3(8 cm)

= 24 cm

PLEASE HELP!! Angle K has a measure of 83° and is reflected across the line y = 2 to get angle K'.
What is the measure of angle K'?
Enter your answer as the correct value, like this: 42

Answers

Answer:

[tex]K' = 83^o[/tex]

Step-by-step explanation:

Given

[tex]K = 83^o[/tex]

Reflection: [tex]y= 2[/tex]

Required

K'

The general rule is that, reflection does alter measurements (angles or lengths).

So, this means that K' will have the same measure as K.

i.e.

[tex]K' = K[/tex]

[tex]K' = 83^o[/tex]

What is the area of this polygon

Answers

Answer:

51

Step-by-step explanation:

1. Approach

One is given the polygon, (ABCDE); the problem asks one to find the area of this polygon. The most logical step to take is to divide this polygon into easier parts, find the area of each part, and then add up the area to find the total area of the figure.

One way to divide this figure up is to draw the line (AC). This will create the triangle (ABC) and rectangle (ACDE).

2. Find the area of (ABC)

The formula to find the area of a triangle is the following:

[tex]A=\frac{b*h}{2}[/tex]

Where (b) is the base of the triangle, and (h) is the height. The base of the triangle (ABC) is (AC), which has a measure of (6) units. The height of the triangle is the distance from the base of the triangle to the vertex opposite the base. This measurement is (3) units. Substitute these values into the formula and solve for the area:

[tex]A=\frac{b*h}{2}[/tex]

Substitute,

[tex]A=\frac{6*3}{2}\\\\A=\frac{18}{2}\\\\A=9[/tex]

3. Find the area of (ACDE)

The formula to find the area of a rectangle is as follows:

[tex]A=b*h[/tex]

The base of the rectangle is the segment (AE), with a measure of (7) units. The height of the rectangle is the segment (AC) with a measurement of (6) units. Substitute these values into the formula and solve for the area:

[tex]A=7*6\\\\A=42[/tex]

4. Find the area of the total figure

To find the area of the total figure, add up the area of the triangle, and the area of the rectangle:

[tex]9+42= 51[/tex]

Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.

Answers

Answer:

35/12

Step-by-step explanation:

Opposite / adjacent

Two boys are running track. They decide to start in the northwest corner and go opposite directions around the rectangular track. If the width of the track is 150 yards and the diagonal is 240 yards, what is the length of the track?

Answers

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The length of the rectangular track is 187.35 yards.

What is Pythagoras theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given the width of the track is 150 yards and the diagonal of the track is 240 yards. The length of the track is,

(Diagonal)² = (Length)² + (Width)²

240² = Length² + 150²

Length = √(240²-150²)

Length = 187.35 yards

Hence, the length of the rectangular track is 187.35 yards.

Learn more about Pythagoras' Theorem:

https://brainly.com/question/14461977

#SPJ2

Use the figure below to answer the following question.

Answers

A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Attached is a diagram that shows a linear pair, A and B.

A prescription calls for 0.04 grams of medicine for each dose. How many milligrams of the medicine would be contained in 5 doses?

Answers

Answer:

200

Step-by-step explanation:

Determine whether each of the following is a geometric sequence, arithmetic sequence, or neither.

3, 1, –1, –3, ...
4, 3, –3, –4, …
2, -1, ½,-¼ ...

Answers

Answer:

3, 1, –1, –3, ... arithmetic

4, 3, –3, –4, … neither

2, -1, ½,-¼ ... geometric

Step-by-step explanation:

3, 1, –1, –3, ...

We are subtracting 2 from the previous term

This is an arithmetic sequence

4, 3, –3, –4, …

There is no number that we can add to each term to get the next

There is no number that we can multiply to each term to get the next

neither

2, -1, ½,-¼ ...

We can multiply by -1/2 to get the next term

This  is a geometric sequence

-
Which is the solution to the inequality?
2
8
15
o b<2 113
o
b>2 1 1
o b<3 7
o b> 3 7

Answers

All we see is - we can’t see anything

Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.
Point P lies on AB¯¯¯¯¯¯¯¯ and point Q lies on CD¯¯¯¯¯¯¯¯.
Angles APO and DQO are right angles.

The diagram as described in the problem.



Which congruence statement is true?
CD≅AP
QD≅QO
OP≅OQ
OP≅AB

Answers

Answer:

Option 3

Step-by-step explanation:

Given:

AB ≅ CD

Point P lies on AB and point Q lies on CD.

∠APO = ∠DQO = 90°

By theorem, if two chords in a circle are equal in measure, then they will be equidistant from the center.

Therefore, OP and OQ will be congruent.

Option (3) will be the answer.

in how many years will the interest of a sum of rs 3600 at the rate of 5.5% per year be rs 594?​

Answers

Answer:

In 3 years, the interest of a sum of rs 3600 at the rate of 5.5% per year be Rs 594.

Step-by-step explanation:

T = ?

R = 5.5%

P = Rs 3600

I = Rs 594

so

T = (I×100)/(P×R)

or, T = (594×100)/(3600×5.5)

or, T = 59400/19800

so, T = 3 yrs

Michael has less than $20 to spend for a taxi. The charge for the taxi is
$6 plus $2 per mile. Which of the following inequalities represents the
miles, m Michael can ride?

Answers

Answer:

2m + 6 < 20

Step-by-step explanation:

A flat $6 plus $2 per mile is represented as 2m + 6, with m as the number of miles you can go.

This 2m + 6 must be LESS THAN Michael's $20. Therefore, this gives us:

2m + 6 < 20

2m: $2 per mile

6: the initial cost

20: how much money Michael has

In a function, y varies inversely with x. The consistent of variation is 4. Which table could represent the function?

Answers

Answer:

none of the tables shown

Step-by-step explanation:

Inverse variation is

xy = k where k is the constant

xy = 4

in the top table

-2*2 = -4 so it cannot be the first table

In the middle table

-2 * -8 = 16  so it is not the middle table

In the bottom table

-2 *4 = -8 so it is not the bottom table

There must be a table not shown

(NECESITO PROCEDIMIENTO)
9x + 8 = 7x + 6

X= -1

X= 1/3

X= 1

Answers

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]9x+8=7x+6[/tex]

Keep the variables in the left side & rest in the left side:

[tex]9x-7x=6-8[/tex]

[tex]2x=-2[/tex]

[tex]x=-2/2[/tex]

[tex]x=-1[/tex]

Use your graphing calculator to find the equation of the trend line for the scatterplot below.
PLEASE HELPPPPP

Answers

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Elaborar un informe acerca de las formas de calcular las necesidades y los costos para construir un sistema de riego.

Answers

Step-by-step explanation:

Algunos aspectos importantes que debes incluir en tu informe son los siguientes:

Para saber cual es el sistema de riego mas adecuado debemos hacer un análisis primero de las necesidades y requerimientos del cultivo o vegetación ,asi como saber con exactitud cuales son las dimensiones del terreno y las condiciones del clima del lugar.

Lo anterior nos ayudara a elegir  un sistema de riego adecuado que nos permita suplir las necesidades de nuestro cultivo y a la vez reducir costos .

De los métodos de riego que existen ,los sistemas  automatizados e informatizados surgen como una gran alternativa para controlar el uso del agua a la vez que permite disminuir costos por el gran ahorro que representa, así mismo este tipo de riego permite una mejor distribución del recurso hídrico por toda el área.

Por lo general estos sistemas de riego están centralizados en un único punto de control lo que facilita su mantenimiento así como la prevención de futuras anomalías que se pudieran presentar.

PLEASE HELP!!

Compare the following data sets that can be modeled linearly.

Data Set A: (1,12), (2,74), (3,193), (4,89), (5,210), (6,143)
Data Set B: (1,203), (2,109), (3,76), (4,42), (5,59), (6,33)

Which data set has a better linear model? Why?
Select the option that correctly answers both questions.

A.) Data Set A, because its correlation coefficient is lower.
B.) Data Set A, because its correlation coefficient is closer to 1.
C.) Data Set B, because its correlation coefficient is higher.
D.) Data Set B, because its correlation coefficient is farther from 0.

Answers

Answer:Data Set B, because its correlation coefficient is farther from 0.

Step-by-step explanation:

I got it right soo <3

use order of operations to simplify -5+3(7.2 - 3.2). please help

Answers

Answer:

7

Step-by-step explanation:

First solve what is in the parentheses.

-5+3(4)

Multiply 3 by 4.

-5+12

Subtract/add

7

I hope this helps!

If f (x) = StartRoot x minus 3 EndRoot, which inequality can be used to find the domain of f(x)?
StartRoot x minus 3 EndRoot greater-than-or-equal-to 0
x minus 3 greater-than-or-equal-to 0
StartRoot x minus 3 EndRoot less-than-or-equal-to 0
x minus 3 less-than-or-equal-to 0

Answers

Given:

The function is:

[tex]f(x)=\sqrt{x-3}[/tex]

To find:

The inequality that is used to find the domain of the given function.

Solution:

We have,

[tex]f(x)=\sqrt{x-3}[/tex]

We know that the radical functions are defined for only positive values of radicand.

It means the given function is defined if the value of (x-3) is greater than or equal to 0.

[tex]x-3\geq 0[/tex]

Adding 3 on both sides, we get

[tex]x-3+3\geq 0+3[/tex]

[tex]x\geq 3[/tex]

The inequality [tex]x-3\geq 0[/tex] is used to find the domain of the given function and the domain of the given function is [tex]x\geq 3[/tex].

Therefore, the correct option is B.

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