Arithmetic mean of nine observations is calculated as 38. But in doing so, mistakenlythe observation 27 is taken instead of 72. Find the actual mean of the data.​

Answers

Answer 1

Answer:

Actual Mean = 43

Step-by-step explanation:

Given Mean = 38

No of observations = 9

we know,

Mean = Sum / N

38 = Sum/ 9

Sum = 38 x 9 = 342

Since the observation 27 was mistakenly taken instead of 72, we subtract 27 from the sum and add 72.

New sum = 342 - 27 = 315 again, 315 + 72 = 387

The no. of observations stays the same.

Actual mean = New Sum / N

= 387/9

=43

Answer 2

Step-by-step explanation:

arithmetic mean =38

n=9

mean=sum/n

sum=mean×n=38×9=342

mistakenly observation 27 is taken instead of 72

new sum becomes =342+72-27=387

now

new mean =new sum/n=387/9=43

the actual mean of the data is 43.


Related Questions

Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 48.8°F​, what will be the temperature when the plane reaches an altitude of 8,000 ft​?

Answers

Answer:

33.6 degrees F

Step-by-step explanation:

8000/1000 = 8

8(1.9) = 15.2 degree drop

48.8 - 15.2 = 33.6 degrees F

5 couples want to have their pictures taken. In how many ways can they arrange themselves in a row if couples must stay together

Answers

Can u explain it more?

PERMUTATION is my answer...mm

WILL GIVR YOU BRAINLEST PLEASE HELP ASAP!
Lines & and m are intersected by transversal t and e // m.

1
5
6
8
By which postulate or theorem is 23* 26?
A. Alternate Exterior Angles Theorem
O
B. Alternate Interior Angles Theorem
o
C. Corresponding Angles Theorem
D. Same-Side Interior Angles Postulate

Answers

Sorry the question you typed is kinda messy. But I see you have typed “23* 26” I’m gonna assume you’re asking which postulate or theorem is angle 2 and angle 3, and angle 2 and angle 6. So angle 2 and 3 are vertical angles. Angle 2 and 6 are corresponding angles. If that wasn’t what you wanted, please let me know in the comments so I can understand your problem clearly and solve it.

Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?

Answers

Answer:

$54

Step-by-step explanation:

300 times 0.06 times 3

0.06 times 3 = 0.18

300 times 0.18 = 54

The simple interest is $54

Answer:

$54

Step-by-step explanation:

A = P(1 + rt)

300(1 + (0.06 × 3)) = 354

3. Classify the number: -4

Answers

Answer:

Aight.

Rational, Real, Integer, Negative

Answer:

It is a rational, real, negative number, and an integer.

Hope that helps!

Step-by-step explanation:

Solve the simultaneous equations
8x – 3y = 30
3x + y = 7​

Answers

Solve for y in 3x+7=y

y=7−3x

Substitute y=7−3x

y=7−3x into 8x−3y=30

8x−3y=30.

17x−21=30

Solve for x

x in 17x−21=30

17x−21=30.

X=3

Substitute x=3 into y=7−3x

y=-2

Therefore,

x=3

y=−2



this one anyone can help

Answers

Answer:

Diagram 1:

a = 54°

b = 54°

Diagram 2:

a = 74°

b = 106°

c = 106°

d = 65°

e = 65°

Step-by-step explanation:

Diagram 1:

a = 54° (alternate angles are equal)

b = a (vertically opposite angles are equal)

a = 54°

Therefore,

b = 54°

Diagram 2:

a = 74° (alternate angles are equal)

a + b = 180 (sum of angles on a straight line)

74 + b = 180

Collect like terms

b = 180 – 74

b = 106°

74 + c = 180 (sum of angles on a straight line)

74 + c = 180

Collect like terms

c = 180 – 74

c = 106°

d = 65° (corresponding angles are equal)

e = d (vertically opposite angles are equal)

d = 65°

Therefore,

e = 65°

The any quality 5G > 45 when g is=

Answers

Answer:

the answer is 9

Step-by-step explanation:

9 x 5 = 45 so g is 9

Hope this Helped!!!!!!!!!!!!

erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how much did she watch at night?​

Answers

Convert to equivalent fractions to see
Both bottom s can be 6
So times the half by 3
And times the third by 2
1/2=3/6
1/3=2/6
So she has a total of 5/6 of the movie accounted for...
So the left over is 1/6
1/6 at nighttime

A trail mix has 1/2 cup of raisins and 2/3 cup of peanuts. Witch ingredient has the great amount?

Answers

Answer:

Peanuts

Step-by-step explanation:

Answer:

peanuts

Step-by-step explanation:

AAP4C
Applications of Trigonometry
1. A ladder that is 10 feet long is leaning against a wall at a 71° angle.
a. How far from the wall is the foot of the ladder?
b. How high up the wall does the ladder reach?​

Answers

Answer:

cosine 71° = distance from wall / 10

A) distance from wall = cosine (71) *10

distance from wall = 3.2557 feet

B) Height up the wall ^2 = 10^2 - 3.2557^2

Height up the wall ^2 = 100 -10.59958

Height up the wall ^2 = 89.40041751

Height up the wall  = 9.45518 feet

Step-by-step explanation:

1.
Krishna dai bought 40 bulbs for Rs. 800. 10 of them were broken.
He sold all remaining bulbs at Rs. 30 each. Find his profit or loss
percent​

Answers

Answer:

He loses 100 Rs. during the process of buying and selling.

Step-by-step explanation:

1. When he bought 40 bulbs for 800 it meant that every bulb is 20 Rs. worth.

2. 10 of them were broken which means its -200 Rs. from the 800 he spent which leads to him losing 200 Rs.

3. He sold the remaining for 30 Rs. each and he had 30, which means 30 x 30 = 900 Rs.

4. We see that he got 100 more Rs. from the original price he bought the 40 bulbs for but 10 bulbs were lost throughout the way.

( Now there are 2 scenarios in this case )

1. The 10 remaining bulbs were to be lost as in the part of the profit he gained from selling the light bulbs for 30 Rs. which would lead to him losing 200 Rs. because he couldve sold the 10 if they werent broken.

2. The 10 remaining bulbs were to be lost as in part of the original price he bought them for which was 20 Rs. per light bulb which means that if they werent broken he couldve sold them for 100 Rs. .

( Now you may ask me why isnt it 300 Rs. in the first scenario and 200 Rs. in the second its because he gained 100 Rs. in the process of selling the light bulbs that werent broken. So we add 100 Rs. in both scenarios/cases )

I chose the second scenario because it seemed very reasonable to me, but you do as you see preferable.

I hope this helped have a good day!

Answer:

Profit %= 50%

Step-by-step explanation:

Price for 40 bulbs: Rs.800

Price for 1 bulb each: 800/40= Rs 20

Price for 10 bulbs= 10*20=Rs. 200

This means that Rs. 200 were wasted due to 10 bulbs being broken.

The remaining bulbs; 30 are sold at a price of Rs 30 each.....

In reality, the price of the remaining 30 bulbs: 30*20=600

Since the 30 bulbs are sold at the price of 30, they altogether cost 30*30=900

Profit=  SP-CP; Profit= 900- 600= Rs 300

Profit%= 300*100/600= 50%

What year is 7 years after 2003

Answers

Answer: 2010

Step-by-step explanation:

2003+7=2010

Which of the following answer is equivalent to this expression 8+12x

Answers

Answer:

what is the answer choices

Step-by-step explanation:

answer:

4(2+3x)

step-by-step explanation:

4(4+3x)=16+12x

4(x+3x)=16x

3(5+9x)=15+27x

4(2+3x)=8+12x

how to solve 4(2+3x):

4(2+3x)

=(4)(2+3x)

=(4)(2)+(4)(3x)

=8+12x

good luck :)

hopefully, this helps

have a nice day !

41.
The Ferris wheel has a radius of 50 feet.
If a car at point E(50, 0) moves to point F,
what are the approximate coordinates of
the car's location after the rotation?

Answers

41.
The Ferris wheel has a radius of 50 feet.
If a car at point E(50, 0) moves to point F,
wha

A 2-gallon bottle of bleach costs $14.24. What is the price per pint?

Answers

Answer:

16 divided by 14.24 = 1.12359550562

If you round it would be: $1.12

Answer:

$1.12

Step-by-step explanation:

there are eight pints in a gallon, and since theres two gallons, that mean theres 16 pints. 16 divided by 14.24 is 1.12

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=55°, and VT = 56 feet. Find the length of TU to the nearest tenth of a foot.

Answers

Answer:

97.6

Step-by-step explanation:

Answer:

97.6

Step-by-step explanation:

Help pls! Need by 2 pm est time. Just do number 2 pls

Answers

Answer:

7 feet

Step-by-step explanation:

I hope my answer is correct!

ast week, a coral reef grew 20.4mm taller. How much did it grow in meters

Answers

Answer:

0.0204 meters

Step-by-step explanation:

Answer:

0.0204

Step-by-step explanation:

1 metre=1000 metres

x = 20.4

cross mutiply

20.4/1000

0.0204

Find m A. 110°
B. 70°
C. 250°
D. 55°

Answers

Answer:

A:100°

Step-by-step explanation:

BECAUSE IS THE SAME

it’s A 110

Same side interior angles are equal

Find the area of the following rectangle.
length = 12 ft.
width = 8 ft.

Answers

Answer:

96 ft

Step-by-step explanation:

A= bh

A = 12 x 8

A = 96

Answer:

96 ft^2

Step-by-step explanation:

12*8

Is the relation a function?

The relation can be represented by the ordered pairs (2, 1), (3, 4), (5, 19), and (8, 7).

Answers

2...5......4444444.....4444445.
Yes it is a function. The x value does not repeat.

How bad is the heavy traffic? You can walk 14
miles in the same time that it takes to travel
35 miles by car. If the car's rate is 6 miles per
hour laster than your walking rate find the
average rate of each.

Answers

Answer:

I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.

Step-by-step explanation:

Since I can walk 14 miles in the same time that it takes to travel 35 miles by car, if the car's rate is 6 miles per hour faster than my walking rate, to find the average rate of each the following calculation must be performed:

35 - 14 = 21

21/6 = 3.5

35 / 3.5 = 10

14 / 3.5 = 4

So, I walk at a rate of 4 miles per hour, while the car travels at 10 miles per hour.

The volume of this sphere is 15500cm3.
Work out the length of the radius,
r
.
Give your answer rounded to 1 DP

Answers

Answer:

r = 15.5

Step-by-step explanation:

4/3 pi r^3 = 15500 cm^3

r^3 = 15500 ÷ (4/3 pi)

r^3 = 3700.35

r = cube root of 3700.35

r = 15.467

r = 15.5

Answer:

4/3 π r³= 15500

r³=15500×3/4×7/22

r≈15.2 cm

Step-by-step explanation:

what are the Best odd to play in betting​

Answers

WHAT is this BETTING stuff I’m seeing it everywhere and I want to know what it means!!

Answer:

ive never played a bet game all i know is you shouldnt give much due to the fact that u may loose

Step-by-step explanation:

HELLPPPP PLEASE
I WILLL MARK YOU BRILL

Answers

Answer:

13

Step-by-step explanation:

71-6=65

65/5=13

therefore the answer is 13

5d + 6 = 71

5d = 71 - 6

5d = 65

d = 65/5

d = 13

Solve the qustion below please

Answers

Answer:

angle BNU = 60 degrees

Step-by-step explanation:

3x + 8 = 44

3x = 36

x = 12

5x = 60

A rectangle is 6 centimeters longer than it is wide.
Its length and width are both increased by
4 centimeters.

Answers

Answer and Step-by-step explanation:

The length = 6 + w

The width = w

Rectangle when the length and width is increased by 4 centimeters.

length = 10 + w

width = 4 + w

#teamtrees #PAW (Plant And Water)

The table below shows the amount Amelia earned babysitting. Find the rate of change

Answers

Answer:

1 : 8

Step-by-step explanation:

Answer:

$8 per hour

Step-by-step explanation:

First you have to do 16/2 or 32/4 to get your answer which is 8

Hope this helps!

I have no idea what to do. Pls help me

Answers

for the first one all u do is 5 times 2 = 10 + 2 = 12. the denominator stays the same so 12/5. then you do the same thing to the other fraction. 3 times 1 = 3 + 2 = 5. the denominator stays the same so your fraction is 5/3. so the answer is 12/5 times 5/3.

hope this helps !
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