B. Abigail used less than Carly and the total was 109.
Answer:
The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.
Step-by-step explanation:
We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.
A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.
Let p = probability of voters preferring the incumbent = 66%
n = number of voters polled = 500
<u>So, the mean of the number preferring the incumbent is given by;</u>
Mean = =
= 330 voters
<u>And, standard deviation of the number preferring the incumbent is given by;</u>
Variance =
=
= 112.2
So, Standard deviation =
= = 10.59
Known facts:
A line shaft rotating at 250 rpm, a grinder shaft that turns at 1200 rpm diameter of grinder pulley is 5 inches.
1. Proportion equation
350/1200 = 5/x
2. Cross multiply
1200*5=250*x
x=(1200*5)/250 = (24*50*5)/(5*50) = 24
The big wheel diameter is 24 inches
The way to do this mathematically is by incorporating the Order of Operations.(Please Excuse My Dear Aunt Sally) This stands for (do first:) Parenthesis, then exponents, after that multiplication, now division, then addition, and finally subtraction. The side on the right then equals -5 while the side on the right equals -6. The greater value is the left side. If you have any other questions, just ask me!