Answer:
utilities, such as electricity and water
homeowner's insurance and property taxes
I like turtles
I really do
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.
This is a hard question because usually boys prefer apple juice
A right angled triangle can be formed from the given scenario as shown below in the figure:
We have a perpendicular(opposite side), the measure of angle and we are interested in finding the hypotenuse.
sine of the angle relates its perpendicular side to hypotenuse as:
sin(x) = perpendicular/hypotenuse
⇒
Hypotenuse = Perpendicular/sin(x) = 13/sin(70) = 13.8 feet
This means, the length of the ladder is 13.8 feet, rounded to nearest tenth.