Answer:
The slope is: m = -²/₅
The y-intercept is: b = -2
The equation of the line: y = -²/₅x - 2
Step-by-step explanation:
The equation of a line in slope intercept form: y = mx + b
The slope:
(-5, 0) ⇒ x₁ = -5, y₁ = 0
(0, -2) ⇒ x₂ = 0, y₂ = -2
So:
Answer:
With the most common significance levels used we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5
Step-by-step explanation:
Information given
n=297 represent the random sample of male taken
X=183 represent the men who said yes, they had driven a car when they probably had too much alcohol
estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol
is the value that we want to test
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Hypothesis to test
We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
After replace we got:
Since we have all the info requires we can replace in formula (1) like this:
Decision
We have a right tailed test so then the p value would be:
With the most common significance levels used we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5
Answer: The volume of largest rectangular box is 4.5 units.
Step-by-step explanation:
Since we have given that
Volume =
with subject to
So, let
So, Volume becomes,
Partially derivative wrt x and y we get that
By solving these two equations, we get that
So,
So, Volume of largest rectangular box would be
Hence, the volume of largest rectangular box is 4.5 units.