Answer:
X= 31
Step-by-step explanation:
13x- 15= 12x+ 16
-12x -12x
x- 15= 16
+15 +15
x= 16+ 15
x= 31
Let's define the vectors:
U = (4.4)
V = (3.1)
The projection of U into V is proportional to V
The way to calculate it is the following:
Proy v U = [(U.V) / | V | ^ 2] V
Where U.V is the point product of the vectors, | V | ^ 2 is the magnitude of the vector V squared and all that operation by V which is the vector.
We have then:
U.V Product:
U.V = (4,4) * (3,1)
U.V = 4 * 3 + 4 * 1
U.V = 12 + 4
U.V = 16
Magnitude of vector V:
lVl = root ((3) ^ 2 + (1) ^ 2)
lVl = root (9 + 1)
lVl = root (10)
Substituting in the formula we have:
Proy v U = [(16) / (root (10)) ^ 2] (3, 1)
Proy v U = [16/10] (3, 1)
Proy v U = [1.6] (3, 1)
Proy v U = [1.6] (3, 1)
Proy v U = (4.8, 1.6)
Answer:
the projection of (4,4) onto (3,1) is:
Proy v U = (4.8, 1.6)
Answer:
model a: 9 presses
model b: 9 presses
Step-by-step explanation:
let x=model a and y=model b.
If asanji has 28 printing presses, we can say that x+y=18.
If he can print 1260 books in a day, we can say that 80x+60y=1260.
Now, We can solve the system of equation by solving an equation in terms of any variable. You can choose any variable. I chose x. x+y=18, So if we subract y from each side, we get x=18-y. Now, we can substitute that in the other equation. Thus, 80(18-y) +60y=1260. If we continue to solve for y, 1440-80y+60y=1260, 1440-20y=1260, subtract 1440 from each side, which gives you -20y=-180, and divide - 20 and you get y=9. Now, substitute the 9 in the x+y=18 to find x. Thus, x+9=18, and x=9. So, Asanji has 9 press of Model A and 9 presses of Model B.
Here are 3 equivalent expressions that would represent the total number of pencils and pens in Karen's backpack.
1. 4p + 6
2. p+ p + p + p + 6
3. 6 + 4(p)
Each of these has four groups of p +6 represented.
Answer: A) Stratified random sampling
Step-by-step explanation:
Since , the researchers divided college students into the four classes (freshman, sophomore, junior, and senior) and then took a random sample of students from each class.
That means each category is participating in the sample.
It means , they used stratified sampling method where each class denotes a strata.
- <em>Stratified random sampling</em><em> is a kind of random sampling technique in which the researcher divides the whole population into some finite number of groups also known as strata , the he randomly pick individuals from each strata to make a sample. </em>
Here , each category participates in researcher's analysis.
Hence, the correct answer is A) Stratified random sampling .
