Answer: 56
Step-by-step explanation: 7*480= 3360
3360/60= 56
Using the z-distribution, it is found that the needed sample sizes are:
a) 242
b) 1842
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which z is the z-score that has a p-value of
.
The margin of error is:

99% confidence level, hence
, z is the value of Z that has a p-value of
, so
.
Item a:
The estimate is:

The sample size is <u>n for which M = 0.03</u>, then:






Rounding up, a sample of 242 is needed.
Item b:
No prior estimates, hence
is used.






Rounding up, a sample of 1842 is needed.
For more on the z-distribution, you can check brainly.com/question/25404151
Answer: a. (2.5, 300°) and (-2.5, 120°)
b. (4, 270°) and (-4, 90°)
<u>Step-by-step explanation:</u>
Polar coordinates are written as (r, θ) where
- r is the radius
- θ is the angle
In the first graph, the radius is 2.5 and the angle is 300° --> (2.5, 300°)
You can also list the radius as -2.5 at angle 120° --> (-2.5, 120°)
↓
(300 - 180)
In the second graph, the radius is 4 and the angle is 270° --> (4, 270°)
You can also list the radius as -4 at angle 90° --> (-4, 90°)
↓
(270 - 180)
The linear function that maps the relation between kinetic energy and mass is given at the end of the question.
<h3>What is the kinetic energy of an object?</h3>
The kinetic energy of an object is given by the following formula:
E = 0.5mv².
In which:
- m is the mass of the object.
- v is the velocity of the object.
In this problem, we suppose a velocity of 2.5 m/s, hence the kinetic energy is:
E = 0.5m(2.5)² = 3.125m.
Hence the graph is plotted at the end of the answer.
More can be learned about kinetic energy at brainly.com/question/25959744
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