To multiply the imaginary number i, we still can use the product rule for exponents. When we multiply, we get
.
Now, simplifying this might seem formidable at first. But, let's start working through different powers of i.
Notice that
. That means that any power that is a multiply of four will also be 1. For instance,
, and so on...
If we rewrite
with this in mind, we can break it down into smaller pieces and simplify.
The answer is B.
The probability is 0.7734.
The z-score for this value is given by:
z =(X-μ)/σ = (83-101)/24 = -18/24 = -0.75.
Using a z-table (http://www.z-table.com) we see that the area to the left of this (lower than) is 0.2266. We want the percentage that will score higher on the test, so we subtract fro 1:
1 - 0.2266 = 0.7734.
Answer:
N = 3/8 (Answer B)
Step-by-step explanation:
Here we need to isolate the variable N. Rewriting 2 1/6 as the equivalent 13/6, we get:
13/16 ÷ N = 2 1/6 = 13/6.
Then 13/16 ÷ N = 13/6, or
(13/16) 13
---------- = ------
N 6
Dividing both sides by 13, we get:
(1/16) 1
---------- = ------
N 6
Cross-multipying results in 6/16 = N.
Reducing this, we obtain the solution, N = 3/8 (Answer B)
Answer:
Area of the sector
Step-by-step explanation:
Area of a circle with the given angle and radius is:
=
Putting the values in the formula:
The area of the sector
Answer: 2 is the y intercept
Step-by-step explanation:
Slope is rise over run and in this problem our y intercept is 2 because it is defined as the y. Negate your 9 and put it over the y intercept to make into a fraction to represent slope. This makes it y = mx + b form now.
y = - 9/2x + 2