Answer:
graph A
Step-by-step explanation:
hope this helps ☆☆
Answer:
The p value for this case would be given by:
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG
Step-by-step explanation:
Information given
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, the statistic is given by
(1)
Replacing we got:
The p value for this case would be given by:
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG
1) true
2)false
Step-by-step explanation:
1) 5(3)+2(4) = 23
= 15+8=23
23=23
thus, (3,4) is solution for 5x + 2y = 23
2) 5(0)+2(4) =23
= 0+8 is not 23
thus, (0,4) is not solution for 5x + 2y = 23
We have that

we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum
step 1
convert the equation of the parabola in the vertex form

the vertex (h,k) is the point (0,36)
Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)
Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0

the points are (-6,0) and (6,0)
see the attached figure