Step-by-step explanation:
The difference in the formula of population and sample variance can be explained as:
Population variance is said to be the value of variance that is calculated from population data, whereas sample variance refers to the variance calculated from sample data. This is the reason why value of denominator in the formula for variance in case of sample data is ‘n-1’, while it is ‘n’ for population data. Hence, the result of both variance and standard deviation derived from sample data is larger than those found out from population data.
Answer:
Notebook is $4
Thumb drive is $23
Step-by-step explanation:
Let notebooks be x and thumb drives be y
6x+7y=$185
14x+12y=$332
These two are simultaneous equation. Multiplying the first equation by 7 and second by 3 we obtain
42x+49y=$1295
42x+36y=$996
Subtracting the third equation from the fourth
996-1295=-$299
(36-49)y=-23y
-23y=-$299
y=$299/13=$23
To get the value of x, we substitute the value of y into the first equation
6x+(7*23)=$185
6x=$185-$161
6x=$24
x=$4
Therefore, price of notebook is $4, price of thumb drive is $23
Let's solve your equation step-by-step.<span><span><span>2x</span>+<span>3<span>(<span>x−4</span>)</span></span></span>=<span>x−20</span></span>Step 1: Simplify both sides of the equation.<span><span><span>2x</span>+<span>3<span>(<span>x−4</span>)</span></span></span>=<span>x−20</span></span><span>Simplify: (Show steps)</span><span><span><span>5x</span>−12</span>=<span>x−20</span></span>Step 2: Subtract x from both sides.<span><span><span><span>5x</span>−12</span>−x</span>=<span><span>x−20</span>−x</span></span><span><span><span>4x</span>−12</span>=<span>−20</span></span>Step 3: Add 12 to both sides.<span><span><span><span>4x</span>−12</span>+12</span>=<span><span>−20</span>+12</span></span><span><span>4x</span>=<span>−8</span></span>Step 4: Divide both sides by 4.<span><span><span>4x/</span>4</span>=<span><span>−8/</span>4</span></span><span>x=<span>−2</span></span>Answer: x=−2
