Hey there!!
Let's take the length of the bigger piece as x inches
Then, the length of the smaller piece would be x - 8 inches
The sum of these lengths would be 54 inches
... x + x - 8 = 54
... 2x - 8 = 54
... Add 8 on both sides
... 2x = 62
... Divide 2 on both sides
... x = 31
Hence, the length of the bigger piece = 31 inches
The length of the smaller piece would be = 31 - 8 = 23 inches
Hope my answer helps!!
80
× 3
------
240
2
× 3
------
6
Answer:
The standard error increases and the width of the interval increases
Step-by-step explanation:
The variance is equal to the square of the standard deviation. An increase in variance will increase the standard deviation.
The width of the confidence interval can be defined as:
The width is proportional to the standard deviation, so when the variance increases, the standard deviation and also the width of the interval increases.
All whole numbers do. The 0 go on forever in whole numbers
Step-by-step answer:
Since the question can be solved easily with a calculator, it is assumed that no calculators are allowed.
13*379 is the same as (10+3)*379
Applying distributive law, we then solve
10*379 = 3790
3*379 = 1137
Adding the two, we get
4927
Alternatively, we can calculate the product by long multiplication to get also 4927.
To check for mistakes, we use casting out nines
13 * 379 (add the digits, 1+3, 3+7+9)
4 * 19 (add the digits)
4*10 (multiply)
40 (add digits)
4
Add digits of 4927
4+9+2+7 = 22
add digits again
2+2 =4
the two match, so the likelihood of make arithmetic error is very low.
Note: using a calculator, the value is indeed 4927.
