Answer:
H0: p ≥ 0.03 Ha: p < 0.03
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is
, where:
represent the true proportion for the population of broken pieces
What we want to proof need's to be on the alternative hypothesis and the complement on the null hypothesis.
So the correct system of hypothesis for this case would be:
Null hypothesis:
Alternative hypothesis:
H0: p ≥ 0.03 Ha: p < 0.03
Given f(n+1) =-2f(n)
here f(n) =f(1) = -1.5
f(n+1) =f(2) = -2 * -1.5 = 3
The<u> profit</u> genereted by the <u>sales of gold label and black label combined</u> is <u>the sum</u> of the profits generated by the sales of gold label and of the profits generated by the sales of black label.
1. From the table

you can find the profits generated by the sales of gold label:

2. From the table

you can find the profits generated by the sales of black label:

In total

Answer: correct option 5
An=a1(r)^(n-1)
a1=first erm
r=common ratio
firs term is -5
we times each term by 5 to get next term so r=5

is the explicit formula
This is the concept of scale factor. The linear scale factor is given by:
(height of sculpture)/(height of clothespin)
=20/(5/12)
=48
Given that a woman is 5ft 7 in, the sculpture of this woman would be:
height of sculpture=(scale factor)*(height of the woman)
height of the woman=5 ft 7 inches=5 7/12 ft=67/12 ft
hence the height of the sculpture will be:
67/12×48
=268 ft
Answer: 268 ft