There are 2 chances out of 6 to win $3
Every 6 rolls you are expected to win $6
Every 3 rolls you are expected to win $3.
On average, even though it's impossible, every roll you would make $1.
Multiply -12 to each of the terms (make sure to carry the negative!)
-36a - 24b + 12 will be your final answer :)
Answer:
(1)
Step-by-step explanation:
Data given and notation
n=100 represent the random sample taken
estimated proportion with the survey
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion
is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Ok so I did 25 divided by 2 I got 12.5 and 26 divided by 3 and got 8.6 so the best deal would be 8.6 for part A .
The given graph is a straight line passing through points (-4, -3) and (1, 5)
Equation in point slope form is y + 3 = (5 - (-3))/(1 - (-4)) (x - (-4))
y + 3 = 8/5(x + 4)
y + 3 = 8/5x + 32/5
y = 8/5x + 32/5 - 3
y = 8/5x + 17/5
Multiplying through by 5 gives
5y = 8x + 17
-8x + 5y = 17
Options B and C are the correct answers.