Answer:
Part a: So the number of business owners giving holiday gift to their employees from survey is 12.
Part b: p-value is 0.00003
Part c: value of p is less that a we reject the null hypothesis.
Step-by-step explanation:
Part a
number of business owners=20% x n
number of business owners= 0.2x 60
number of business owners=12
Part b
H0: p=0.46
H1: p<0.46
Here
n=60,
=0.2, p=0.46
So test statistics is given as

p-value is P(z<-4.04)= 0.00003
Part c
As value of p is less that a we reject the null hypothesis.
If you have a graphing calculator, you could use it to solve this question.
If you have a TI-84, go to <em>MATH</em> then <em>PROB</em> then <em>3: nPr</em>
From there, all you have to do is type in 7 and 3 in their correct spots to get 210 as your answer.
Answer:
Exponential decay function; -0.94%
Step-by-step explanation:
We are given an exponential function and we are supposed to find whether the given function increases or decreases and also the percentage of increase or decrease.
Th given function is f(x) = 2060
Here x denotes the number of years.
At the start the value was 2060. In the next year it was multiplied by 0.9906.
This means that the value becomes 0.9906 times after each year.
Hence the value decreases by 0.0094 times its original value.
Converting to percentage it becomes 0.94% decrease after each year.
Answer:
x = 4
Step-by-step explanation:
Step 1: Write out the expression
5(2x - 9) = -5
Step 2: Solve for <em>x</em>
10x - 45 = -5
10x = 40
x = 4
The main idea is using the Pythagorean formula to find the length of line segment
.
Alr so you use the formula 
is already given and is 
and
is 
So using algebraic rules you'll get
as:

Now using the formula:
, you can find the area of tri ABD and CBD which would be
and
so add them up and you get
!