Answer:
Please check the explanation.
Step-by-step explanation:
Given the verbal expression
''Thirteen less than twice the sum of a number and six is 47''.
Let us break down the verbal expression into an algebraic equation
- Sum of twice the number and six = 2n+6
- Thirteen less than twice the sum of a number and six = 2n+6-13
And finally
Thirteen less than twice the sum of a number and six is 47:
2n+6-13 = 47
Therefore, the equation is:
Solving the algebraic expression
solving the equation for 'n'
Add 7 to both sides
Simplify
Divide both sides by 2
Simplify
-1 3/8 and 2 4/5
-1 15/40 and 2 32/40
1 17/40
I hope that helps you!
Make 2 equations one for the price and one for quantity. so first set x = AA and y= AAA. for price 37= 1x+.75y. now for the quantity we have x+y=42. Now we can solve by subtracting the equation for price from the equation for quantity and we get .25y =5. solving this we get y= 20. Now we plug that value back in and solve for x. 22 double A's and 20 triple A's.
The confidence interval is
. This means that we can be 99% confident that the mean number of books people read lies between 9.15 and 11.85.
To find the confidence interval, we first find the z-score associated with it:
Convert 99% to a decimal: 0.99
Subtract from 1: 1-0.99=0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995
Using a z-table (http://www.z-table.com) we see that this is associated with a z-score between 2.57 and 2.58. Since both are equally far from this value we will use 2.575.
We calculate the margin of error using
This means that the confidence interval is
The lower limit is given by 10.5-1.35 = 9.15.
The upper limit is given by 10.5+1.35 = 11.85
<h3>
Answer: B) 7 units</h3>
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Explanation:
The y coordinates of the two points are the same, so we can subtract the x coordinates and apply absolute value
|R - T| = |-6 - 1| = |-7| = 7
Or we can say
|T - R| = |1 - (-6)| = |1 + 6| = |7| = 7
Either way, the two points are 7 units apart.
You could use the distance formula to get the same answer, but that's definitely overkill in my opinion. The trick mentioned above also could work if the x coordinates were the same, but the y coordinates were different. In any other case, you would have to use the distance formula.
