Which equation represents a hyperbola shown in the graph?
2 answers:
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Answer:
The points (4,11), (6,14), (30,50) lie on the line joining the points (0,5) and (2,8).
Step-by-step explanation:
The equation of the line passing through two points and
is
So, the equation of the line passing through two points (0,5) and ( 2, 8 ) is
For the point (4,11), pout x=4 in equation (i), we have
, which is given y coordinate, hence this point (4,11) lies on the line.
For the point (5,10), pout x=5 in equation (i), we have
which is not the given y coordinate, hence the point (5,10) doesn't lie on the line.
For the point (6,14), pout x=6 in equation (i), we have
, which is the given y coordinate, hence the point (6,14) lies on the line.
For the point (30,50), pout x=30 in equation (i), we have
, which is the given y coordinate, hence the point (30,50) lies on the line.
For the point (40,60), pout x=40 in equation (i), we have
, which is not the given y coordinate, hence the point (40,60) doesn't lie on the line.
Hence, the points (4,11), (6,14), (30,50) lie on the line joining the points (0,5) and (2,8).
Answer: 0.022
Step-by-step explanation:
Let p be the population proportion of horses were fed mostly alfalfa.
We are given that :
, since alternative hypothesis (
) is right tailed , so the test is a right-tailed test.
Also, we have
Sample size= 62
Sample proportion=
Test statistic for population proportion:-
Substitute all values ,
P-value for right tailed test :
P(z>2.01)=1-P(z<2.01) [∵P(Z>z=1-P(Z<z))]
=1-0.9777844 [By using z-value table]
=0.0222156≈0.022
Hence, the P-value for this test is <u>0.022</u> .