Answer:
Option b) Sample
Step-by-step explanation:
We are given the following in the question:
Survey:
356 surveys on television-viewing habits of American adolescents.
Result:
Average of 3.1 hours per day.
Population and sample:
- Population is a collection of all the possible observation of individuals or variable of interest.
- A sample is always a part of the population.
- It is a subset of population.
For the given survey, those who responded to the survey forms a a sample as it is a part of 356 surveys that is a subset of population.
The correct answer is
Option b) Sample
Answer: B. 
Step-by-step explanation:
Let 
be the proportion of all U.S. adults that smoked in 1995. Let 
denote the proportion of all U.S. adults that smoked in 2000.
Objective for the study : Whether the proportion of U.S. adults that smoke declined during the 5-year period between the samples.
i.e. 
Alternative hypothesis
is the statement containing population parameter that shows there is significant difference between the groups being tested.
⇒
Null hypothesis
is the statement containing population parameter that shows there is no significant difference between the groups being tested.
⇒
Hence, The hypotheses to test in this problem are
Hence, the correct answer is B.
Answer:a
Step-by-step explanation:
u pick the right one
Answer:
JM = 20
Step-by-step explanation:
Find the value of JM
Using similar triangles;
MJ/HN = GJ/HK
GJ+JM/HN = GJ/HK
15+JM/12+16 = 15/12
15+JM/28 = 15/12
Cross multiply
12(15+JM) = 15*28
180+12JM = 420
12JM = 420 - 180
12JM = 240
JM = 240/12
JM = 20
<em>Hence the length of JM is 20</em>
Answer
The vertex is at point (-3, -1)
The axis of symmetry is x = -3
Explanation
We are asked to find the vertex and axis of symmetry of the equation given.
f(x) = x² + 6x + 8
The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.
The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.
To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.
(df/dx) = 0
f(x) = x² + 6x + 8
(df/dx) = 2x + 6
At the vertex
(df/dx) = 2x + 6 = 0
2x = -6
Divide both sides by 2
(2x/2) = (-6/2)
x = -3
We then insert this into the equation to get the corresponding f(x) value.
f(x) = x² + 6x + 8
f(-3) = (-3)² + 6(-3) + 8
= 9 - 18 + 8
= -1
Hence, the vertex is at point (-3, -1)
And since the axis of symmetry has to pass through the vertex,
The axis of symmetry is x = -3
Hope this Helps!!!
