Wait is it not at all 14.5 or 14 1/2 Because with the math I did I got 14 1/2
G=gas
w=bottle of water
8g + 2w = 29
12g + 4w = 45
I'm going to use elimination to cancel out the variable w by multiplying the first equation by -2.
-16g - 4w = -58
12g + 4w = 45
-4g = -13
/-4 /-4
g = 3.25
Now plug it into an equation, any equation.
8 (3.25) + 2w = 29
26 +2w=29
w=1.5
Now to check, plug it into both equations if you want.
12 (3.25) + 4 (1.5)=45
39 + 6=45
One bottle of water is $1.50, while one gallon of gas is $3.25.
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:
Answer: 60 degrees
Explanation: If all angles are same, each angle is 60 degrees and adds up to 180.
132=3x+x
132=4x
x=33
The length of the shorter piece is 33 inches