Answer:
x = 39
Step-by-step explanation:
In the image, in order for DE to be parallel to CB, the scale factor between AE and EB should be the same as between AD and DC. To solve this, you first need to identify these lines:
AE = 12, EB = x - 3
AD = 6, DC = 18
Now, you need to find the scale factor by dividing 18 by 6:
18 ÷ 6 = 3
So the scale factor from AD to DC is 3. This means that the scale factor from AE (12) to EB should also be 3. You can find x by writing and solving an equation:
12 × 3 = x - 3 (given)
36 = x - 3 (simplify)
x = 39 (add 3 to both sides)
So x = 39.
Answer:
N = 16 measurements
Step-by-step explanation:
A method produces a random error for each measurement of 4%
A percent error of equal to or less than 1% is required.
We want to find out the minimum number of measurements that must be collected.
The standard error is given by
Where s is the standard deviation and N is the number of measurements.
We are given standard deviation equal to 4% and SE equal to 1%
So re-arranging the above equation for N
Therefore, a minimum 16 number of measurements are needed.
Y = 0.213x – 352.0 <span> represents this linear model shown in the data table.
Plug in the values of x into the equation for a double check.
Let's try 1980.
</span><span>y = 0.213(1980) – 352.0
</span>y = 69.74
which is closest to the 70.1 whereas other options do not satisfy the condition.
Answer:
-0.01745240644 according to my calculator