Answer:
The minimum sample size required is 97.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the population proportion is:
The margin of error for this confidence interval is:
The information provided is:
The critical value of <em>z</em> for 95% confidence level is, <em>z</em> = 1.96.
Compute the minimum sample size required as follows:
![n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.20(1-0.20)}}{0.08}]^{2}\\\\=96.04\\\\\approx 97](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ccdot%5Csqrt%7B%5Chat%20p%281-%5Chat%20p%29%7D%7D%7BMOE%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D%5B%5Cfrac%7B1.96%5Ctimes%20%5Csqrt%7B0.20%281-0.20%29%7D%7D%7B0.08%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D96.04%5C%5C%5C%5C%5Capprox%2097)
Thus, the minimum sample size required is 97.
One flag is a translation image of the other.
This is as one of the flags is a duplicate of the other which is moved up / down by a certain distance based on which flag you are basing it on.
For example, if you are looking at the top flag. It appears as if that flag was duplicated and pulled down to show the bottom flag. Therefore, one flag is a translation image of the other.
It isn't that one flag is a rotation image of the other as both flags are vertical and aren't rotated in any direction. Therefore, it isn't that one flag is a rotation image of the other.
Answer:
14 Striped and 10 Flowered
Step-by-step explanation:
This can best be determined using a set of linear equations that are solved simultaneously.
This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation
Given that the green and blue striped shirt is $15 and the white with purple flowers is $13. She needs to order 24 shirts and has a total of $340 to spend, let the number of striped shirts be g and that of flowered be h then,
g + h = 24 and
15g + 13h = 340
g = 24 - h
15(24 - h) + 13h = 340
360 - 15h + 13h = 340
2h = 20
h = 10
g = 24 - h
g = 24 - 10
= 14
Answer:
56
Step-by-step explanation:
First find how many MB in a day.
16,000 / 12 = 1333.3
Now find how many MB in one hour by dividing 1333.3 by 24 (b/c there are 24 hours in a day).
1333.3 / 24 = 55.5
Round 55.5 to 56
