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weeeeeb [17]
3 years ago
8

The measurement of a side of a square is found to be 12 centimeters. Estimate the maximum allowable percent error in measuring t

he side if the error in computing the area cannot exceed 2.5%.
Mathematics
1 answer:
Marat540 [252]3 years ago
3 0
 <span>If x= side of the square, and A = area of square, then  

A = x^2 

dA/dx = 2x, or 

dA = 2x*dx, where dx is the differential in x (same as error) 


dA/A = 2x*dx/(x^2) = 2*dx/x = 2*(0.05cm)/(15cm) = 0.00667 = 0.667% 

for b): 

if dA/A = 0.025 = 2*dx/x, then 

dx/x=(0.025)/2 = 0.0125 = 1.25 % 

 I hope I helped. :)</span>
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The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?
Shtirlitz [24]

Answer:

- 16

Step-by-step explanation:

Average is calculated as

average = \frac{total}{count}

Thus for the given 10 numbers we have

\frac{total}{10} = - 5 ( multiply both sides by 10 )

total = - 50

let the number added be x, then

\frac{total+x}{11} = - 6 ( multiply both sides by 11 )

total + x = - 66, that is

- 50 + x = - 66 ( add 50 to both sides )

x = - 16

The new number is - 16

4 0
3 years ago
Answer pleasee tyyy.
sveticcg [70]

HOPE THIS IS THE ANSWER FOR YOUR QUESTION

5 0
3 years ago
Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are n= 8 trials, each with
alina1380 [7]

Answer:

0.80589

Step-by-step explanation:

So all of the numbers of correct answers less than 4 are 0,1,2,3

We need to calculate the probability for each separately and then add them together.

To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.

The combination formula is: ! / (!(−)!)

So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.

For 0;

The combination is 1,

1 x 0.3^0 x 0.7^8-0 =

0.057648

For 1;

The combination is 8,

8 x 0.3^1 x 0.7^8-1 =

0.19765

For 2;

The combination is 28

28 x 0.3^2 x 0.7^8-2 =

0.296475

For 3;

The combination is 56

56 x 0.3^3 x 0.7^8-3 =

0.254122

All that’s left is to add these four numbers;

0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589

4 0
3 years ago
Plzzz help asap this is due and plz tell me why and how to do this
Ilia_Sergeevich [38]
F - Irrational, -13.8
Because the negative sign is not inside of the radical, we can tell that the number is being multiplied by the negative. Thus, do the radical equation first, get the answer 13.8202... and multiply by -1 to get the answer. Also, it is irrational because it is not a perfect square.
6 0
3 years ago
7 times as much as the sum of 1/3 and 4/5
musickatia [10]
1/3+4/5= 17/15
The commun multipleof 3 and 5 is 15.
1/3×5= 5/15
4/5×3= 12/15
5/12+12/15= 17/12

17/12×7= 119/84

119/84

Hope this helps! :)

\(^ ◇^)/
6 0
4 years ago
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