Answer:
A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07
Step-by-step explanation:
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 zscore that has a pvalue of 
.
The margin of error of the interval is given by:
In this problem, we have that:
99.5% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.07?
This is n when M = 0.07. So
A sample size of 345 is needed so that the confidence interval will have a margin of error of 0.07
Answer:
37.59 nautical miles
Explanation:
Distance = Speed x Time
The speed of the first ship = 12 knots
Thus, the distance covered after 1.5 hours
The speed of the second ship = 22 knots
Thus, the distance covered after 1.5 hours
The diagram representing the ship's path is drawn and attached below:
The angle at port = 90 degrees.
The triangle is a right triangle.
Using Pythagorean Theorem:
![\begin{gathered} c^2=a^2+b^2 \\ c^2=18^2+33^2 \\ c^2=324+1089 \\ c^2=1413 \\ c=\sqrt[]{1413} \\ c=37.59\text{ miles} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%5E2%3Da%5E2%2Bb%5E2%20%5C%5C%20c%5E2%3D18%5E2%2B33%5E2%20%5C%5C%20c%5E2%3D324%2B1089%20%5C%5C%20c%5E2%3D1413%20%5C%5C%20c%3D%5Csqrt%5B%5D%7B1413%7D%20%5C%5C%20c%3D37.59%5Ctext%7B%20miles%7D%20%5Cend%7Bgathered%7D)
The two ships are 37.59 nautical miles apart after 1.5 hours.
3 cm because the radius is 1.5 cm and the diameter is the radius times 2
The answer is yes but its could be false or 6:00
Answer:
PS = 7
k = 9
Step-by-step explanation:
RS = PQ Given
3x - 7 = x - 1 Substitute algebraic terms. Subtract x from both sides
3x-x - 7 = x - 1 - x Combine
2x - 7 = - 1 Add 7 to both sides.
2x - 7+7 = -1+7 Combine
2x = 6 Divide by 2
2x/2 = 6/2
x = 3
Length of PS = x - 1 + x + 3x - 7
Length of PS = 5x - 8
Length of PS = 5*3 - 8
Length of PS = 7
=========================
f(x) = k - x^2
x = 2
f(x) = 5 is the given point
5 = k - x^2 Substitute for x^2
5 = k - 2^2 Expand
5 = k - 4 Add 4 to both sides.
5+4=k-4+4 Combine
k = 9
