Answer:
see below
Step-by-step explanation:
A proportional relationship has a graph that <em>always goes through the origin</em>. This fact by itself eliminates all the wrong answers.
A slope of 2/3 means the rise is 2 for each horizontal run to the right of 3. The two given points are 2 vertical units and 3 horizontal units apart, demonstrating a slope of 2/3.
It is not a circle but you can find the equation of the ellipse.
To do this we need to work out the major and minor radii and the centre
The centre is at (9, 7)
The major (y) radius is 1 and the minor (x) radius is 5
Therefore the equation is (x-9)/5 + (y-7)/1 = 1
Answer:
p= 0.9995 and we can conclude that students receiving aid is more than 50% according to the sample results in 2% significance level.
Step-by-step explanation:
: less than or equal 50% of students at his college receive financial aid
: more than 50% of students receive financial aid.
According to the nul hypothesis we assume a normal distribution with proportion 50%.
z-score of sample proportion can be calculated using the formula:
z=
where
- X is the sample proportion (0.65)
- M is the null hypothesis proportion (0.5)
- s is the standard deviation of the sample (
) - N is the sample size (120)
then z=
≈ 3,29
thus p= 0.9995 and since p<0.02 (2%), we reject the null hypothesis.