1. Exponents are the repeated multiplication of a number. It is represented
by the formula of a^n where a is the number to be repeated and n is the number
of times the number is being multiplies by itself. Also include the sign of the
number, no matter how it is multiplied, it is still important. For instance you have 4(4),
you have 4 as the repeated number. You can see that it is multiplied by itself
by two times. So you have (-4)^2.
2. Graphs and tables are the key features in finding a model between two quantities. If he data values, after plotting it into a graph, produces a straight line, then you will have a direct relationship between the two and sometimes you can get an equation of the line. Sometimes it will give you a curved line. That is why it is important to graph the values of the table to better understand the relationship between two variables.
Segment in the direction from A to C
Initial Point: A=(9,5)=(xa,ya)→xi=xa=9, yi=ya=5
Final point: C=(-7,1)=(xc,yc)→xf=xc=-7, yf=yc=1
B=(xb,yb)=?
Proportion: r=AB/BC=3:1=3/1→r=3
xb=(xi+r*xf)/(1+r)
Replacing xi=xa=9, xf=xc=-7 and r=3
xb=[9+3*(-7)]/(1+3)
xb=(9-21)/4
xb=(-12)/4
xb=-3
yb=(yi+r*yf)/(1+r)
Replacing yi=ya=5, yf=yc=1 and r=3
yb=[5+3*(1)]/(1+3)
yb=(5+3)/4
yb=8/4
yb=2
B=(xb,yb)→B=(-3,2)
Answer: B=(-3,2)
120 cupcakes
Even # rows
Odd # columns
12: 1, 2,3,4,6, 12 (integers?)
I see only one arrangement with odd column & even rows
3 columns, 40 rows
That's mainly because 120 is an even number.
The probability that all marbles are yellow is
(7/20) (7/20) (7/20) = 343/8000
We are given
x = 2 and 3
u = 2.5
s = 0.5
Getting the z score
z = (2 - 2.5) / 0.5 and (3 - 2.5)/ 0.5
z = -1 and 1
The percentage is
1 - 0.1557 = 81.5%
