Answer:
k=42.5573 and x=0.015699
Step-by-step explanation:
Step: Solve k=35.5x+42for k:
k=35.5x+42
Step: Substitute 35.5x+42 for k in k=991x+27:
k=991x+27
35.5x+42=991x+27
35.5x+42+−991x=991x+27+−991x(Add -991x to both sides)
−955.5x+42=27
−955.5x+42+−42=27+−42(Add -42 to both sides)
−955.5x=−15
−955.5x
−955.5
=
−15
−955.5
(Divide both sides by -955.5)
x=0.015699
Step: Substitute0.015699 for x in k=35.5x+42:
k=35.5x+42
k=(35.5)(0.015699)+42
k=42.5573(Simplify both sides of the equation)
Hope this helps!
:)
Answer:

But we need to calculate the mean with the following formula:

And replacing we got:

And for the sample variance we have:

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance 

Step-by-step explanation:
For this case we have the following data:
1.04,1.00,1.13,1.08,1.11
And in order to estimate the population variance we can use the sample variance formula:

But we need to calculate the mean with the following formula:

And replacing we got:

And for the sample variance we have:

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance 

SOLUTION:
Amount added / Original amount × 100% = % increase
14 / 25 × 100 = 56%
FINAL ANSWER:
Therefore, the percentage increase in coins is 56%.
Hope this helps! :)
Answer:
no of 5 kg disks is 3, and no of 2 kg disks is (10-3) i.e. 7
Step-by-step explanation:
Let the no of 2kg disks be a.
Let no of 5 kg disks be b.
2a+5b=29
a+b=10
Using substitution, we have
2(10-b) + 5b=29
20-2b+5b=29
20+3b=29
3b=9
b=3
So no of 5 kg disks is 3, and no of 2 kg disks is (10-3) i.e. 7
Hey there!
To figure out what "x" means, you can divide the numbers 126 and 14 . . .
126 divided by 14 = 9
9 x 14 = 126
9 = x
----------------
x = 9
----------------
Hope this helps you.
Have a great day!