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vichka [17]
2 years ago
14

The mean of 100 observation is found to be 40. If at the time of compution two items were wrongly taken as 30 and 27 instead of

3 and 72. Find the correct mean
Mathematics
1 answer:
Colt1911 [192]2 years ago
7 0

Answer:

40.18

Step-by-step explanation:

According to this question, the mean of 100 observation is found to be 40. This means that the number of values in the set of data is 100. However, at the time of computation two items were wrongly taken as 30 and 27 instead of 3 and 72.

The mean is derived by dividing the sum of values in the data (Σx) by the number of observations (n) i.e.

Mean = Σx/n

For the computation error:

Mean = 40

Let x represent the sun of other 98 values except 30 and 27

n = 100

40 = x + 30 + 27/100

40 = 57 + x/100

Cross multiply

4000 = 57 + x

x = 4000 - 57

x = 3943.

Sum of other 98 values = 3943.

Now, let's find the correct mean with correct values of 3 and 72;

Mean = Σx/n

Mean = 3943 + 3 + 72/100

Mean = 4018/100

Mean = 40.18

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A piece of wood is cut into 3 pieces in the ratio 5:4:3 if the length of the shortest piece is 2 how long is the wood
Bad White [126]

Answer:

Step-by-step explanation:

5:4:3 = x:y:2

4:3 = y:2                 Cross multiply

3y = 8                     Divide by 3

y = 8/3 = 2.66'

5/x = 3/2

3x = 10                   Divide by 3

x = 10/3

x = 3.33

Length of the wood = 2.66 + 3.33 + 2

Length of the wood = 8 feet

8 0
3 years ago
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liubo4ka [24]
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2 years ago
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tatiyna
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7 0
3 years ago
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Anyone wanna help me out??
Burka [1]

Answer:

  • 6955 ft

Step-by-step explanation:

  • <em>Refer to attached. Point J, segment BJ and angle measures added.</em>

<u>Step 1, find BJ</u>

  • BJ / AB = sin 20° ⇒ BJ = AB sin 20° ⇒ BJ = 600 sin 20° ≈ 205.2 ft

<u>Step 2, find BP</u>

  • BJ/BP = cos 75° ⇒ BP = BJ / cos 75° ⇒ BP = 205.2/cos 75° ≈ 792.8 ft

<u>Step 3, find PQ</u>

  • PQ/BP = sin 35° ⇒ PQ = BP sin 35° ⇒ PQ = 792.8 sin 35° ≈ 454.7 ft

<u>Step 4, find the elevation of peak P</u>

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5 0
2 years ago
Solve for the value of x in the picture above​
aksik [14]

Answer: 40

Step-by-step explanation:

Since this is a scalene, we know there are two 70 degree angles. Because triangles are 180 degrees, and 70 + 70 = 140, 180 - 140 = 40.

Hope this helps,

:)

5 0
3 years ago
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