Answer:
x = 0, 7
Step-by-step explanation:
Step 1: Write out equation
x² - 7x = 0
Step 2: Factor out <em>x</em>
x(x - 7) = 0
Step 3: Find roots
x = 0
x - 7 = 0
x = 7
mu = 1100 = population mean
sigma = 275 = population standard deviation
x = 1400 = raw score
z = z score
z = (x-mu)/sigma
z = (1400-1100)/(275)
z = 300/275
z = 1.0909090909091 approximately
z = 1.09
Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).
The positive z score is due to Paula's raw score being above the mean.
The answer is 4^-2 = 1/16
Answer:
See below
Step-by-step explanation:
I'm guessing you want to fill in the blanks of the sequence?
We can represent this as an equation:
31-3x=18
-3x=13
x=-13/3
Second term: 31 - (13/3) = 26 2/3
Third term: 26 2/3 - (13/3) = 22 1/3
Answer:
.
Step-by-step explanation:
We want to find the polynomial that will result from expanding:
.
Recall that we can use the Pascal's triangle to obtain the coefficient as:
1 4 6 4 1
Also note how the negative sign is going to alternate.
The <em>power of x </em>will decrease from left to right while the <em>power of y</em> increases from left to right
The expansion then becomes:
.