Answer:
Step-by-step explanation:
The standard form for this function is
y = Asin(Bx - C) + D where
A is the amplitude,
B is used to find the period in the formula 
,
C is used to find the phase shift in the formula 
,
and D is the midline which either moves the function up or down from its natural midline of 0.
We have no given phase shift, so there is no C value. The amplitude is easy; we just fill in A as 4. The period is another story:
and we solve for B by cross multiplying:
3πB = 4π and
so
so the function is
1. w^8v^3z
2. 13d^3g^6
3. c^2m^4p^6
4.5k^6m^2
So you need to get C by itself. So you are going to divide -1/7 by 21. Then that will give you the answer x=3
Answer: 
Step-by-step explanation:
Given
The diameter of circle terminates on the circumference with coordinates
(3,0) and (-4,0)
Distance between the two points is the diameter of the circle. The distance is given by distance formula i.e. 
Insert the values
The center of the circle is the mid-point of the two points i.e.
The equation of the circle is given by
Answer: (E) H0 : µ = 10.4 vs Ha : µ < 10.4
Step-by-step explanation:
The null hypothesis is the hypothesis that is assumed to be true. It is an expression that is the opposite of what the researcher predicts.
The alternative hypothesis is what the researcher expects or predicts. It is the statement that is believed to be true if the null hypothesis is rejected.
From the given situation,
The recent plant journal indicated that the mean height of mature plants of a certain species of sunflower is 10.4 ft. This is the null hypothesis.
The biologist sunflower thinks that the mean height is shorter than reported. This is the alternative hypothesis.
Therefore, the correct null and alternative hypotheses are
(E) H0 : µ = 10.4 vs Ha : µ < 10.4
