Answer: Null hypothesis :
Alternative hypothesis :
Step-by-step explanation:
Given claim : The proportion of U.S. adults age 25 or older who smoke :
A researcher suspects that the rate is lower among U.S. adults 25 or older who have a bachelor's degree. i.e.
Since the null hypothesis is a fact checked by the researcher or the experimenter that always contains a equals to sign.
∴ Null hypothesis :
Alternative hypothesis :
Answer:
Step-by-step explanation:
This situation can be considered as a piecewise function. First, you take xo as the time in which the drone goes upward. Before this time the height of the drone is constant with a value of 5 m. Next, you take into account that during 1.9 s after xo the drone accelerates. Finally, the drone flies again with a constant height of 5.9m. Hence, this function has three parts:
For the first part you have:
y = 5 for x < xo
For the second part you first calculate vertical speed (which means the slope of the linear function) by using the following kinematic equation:
Then you have:
y = 0.47x for xo < x < xo + 1.9s
And for the third part:
y = 5.9 for x > xo + 1.9s
Summarizing you obtain:
Answer:
(-1,-6)
Step-by-step explanation:
(Replaced x in f with (x-2))
(Used
and distributive property)
(Gathered like terms)
(Simplified)
The vertex of a parabola occurs at .
Let's find first.
Now we can obtain which is
in this case:
.
The vertex is (-1,-6).