Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2
sin(x)^2 = 1 - cos(x)^2:
sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
-(1 - cos(x)^2) = cos(x)^2 - 1:
cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2
sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:
-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2
(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:
cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
The left hand side and right hand side are identical:
Answer: (identity has been verified)
Answer: The average length of time that the 25 customers waited before leaving the bank. <u> e. Statistic</u>
The list of times for the 25 customers who left the bank. <u> f.Data </u>
All of the bank's customers <u> d. Population</u>
The 25 customers that the manager observed leave. <u> c. Sample</u>
The length of time a customer waits before leaving the bank. a. <u>Variable.</u>
The average length of time that all customers will wait before leaving the bank <u>a. Parameter</u>
Step-by-step explanation:
A data is a list of observations.
In statistics, a variable is an attribute that defines a person, place, thing, or thought.
A large group that have similar individuals as per the researcher's point of view is known as population, where its subset is known as sample.
The measure of certain characteristic in population is known as parameter, where for sample it is known as statistic.
Answer:
6
Step-by-step explanation:
y = x² - 6x + 11
Complete the square.
y = x² - 6x + 9 + 2
y = (x - 3)² + 2
a = 1, h = 3, k = 2
a + h + k = 6
It doesn’t show which options?
But the difference would be 2 7/12 or 2.58
Answer:
There is not a way that I can show you how to graph it, so I will try and explain it.
Step-by-step explanation:
(1,1)
^ ^ y-axis
x-axis
You are just going right however many, and then up however many it says.
So if it's (1,1) you will go right one space, and then up one space.
Once you have all of your points on the graph, you put a line through them.
Hope this helps! :)
