Answer:
(a) The sample sizes are 6787.
(b) The sample sizes are 6666.
Step-by-step explanation:
(a)
The information provided is:
Confidence level = 98%
MOE = 0.02
n₁ = n₂ = n

Compute the sample sizes as follows:



Thus, the sample sizes are 6787.
(b)
Now it is provided that:

Compute the sample size as follows:

![n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}](https://tex.z-dn.net/?f=n%3D%5Cfrac%7B%28z_%7B%5Calpha%2F2%7D%29%5E%7B2%7D%5Ctimes%20%5B%5Chat%20p_%7B1%7D%281-%5Chat%20p_%7B1%7D%29%2B%5Chat%20p_%7B2%7D%281-%5Chat%20p_%7B2%7D%29%5D%7D%7BMOE%5E%7B2%7D%7D)
![=\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2.33%5E%7B2%7D%5Ctimes%20%5B0.45%281-0.45%29%2B0.58%281-0.58%29%5D%7D%7B0.02%5E%7B2%7D%7D%5C%5C%5C%5C%3D6665.331975%5C%5C%5C%5C%5Capprox%206666)
Thus, the sample sizes are 6666.
Answer:
see the explanation
Step-by-step explanation:
we have

This is the equation of a line in point slope form
where
the point is (-2,4)
the slope is m=1/3
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
so
To graph the line
1. Plot the point (–2,4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points
Answer:
I think that the answer is D (13,20)
It does if the x values don't repeat it they repeat it doesn't
Answer:
the least required speed is 103.88 km/h
Step-by-step explanation:
Data provided in the question:
Total distance = 270 km
Total time to reach = Time between 8 a.m and 11:15 a.m i.e 3.25 hours
Now,
For the distance of 110 km speed was 100 km/h
therefore, the time taken to cover 110 km =
=
= 1.1 hour
For another 43 km speed was 42 km/h
therefore, the time taken to cover 43 km =
=
= 1.0238 hours
Now,
The distance left to be covered = 270 - 110 - 43 = 117 km
Time left = 3.25 h - 1.1 h - 1.0238 h = 1.1262 h
Thus required speed =
= 103.88 km/h
Hence, the least required speed is 103.88 km/h