Answer:
4.0486
Step-by-step explanation:
The margin of error is calculated using ![E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }](https://tex.z-dn.net/?f=E%3Dz_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D)
Where n=60 is the sample size and
is the population standard deviation.
The critical value corresponding to 95% confidence interval is ![z_{\frac{\alpha}{2}}=1.96](https://tex.z-dn.net/?f=z_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%3D1.96)
We substitute the values to obtain;
![E=1.96*\frac{16}{\sqrt{60} }](https://tex.z-dn.net/?f=E%3D1.96%2A%5Cfrac%7B16%7D%7B%5Csqrt%7B60%7D%20%7D)
![E=1.96*2.06559=4.0486](https://tex.z-dn.net/?f=E%3D1.96%2A2.06559%3D4.0486)
It's a little hard to tell from the gibberish in the choices but let's go with
Answer: 7 + 6yz
which is of second degree in its variables and has two variables. That's two differences than the first three, which are first degree univariate.
Answer:
congruent angle pair
Step-by-step explanation:
angles 2 and 3 are congruent(equal 90 degrees), and angles 3 and 6 are opposite each other, indicating that they are of equal measure. therefore, angles 2 and 6 and congruent.
Step-by-step explanation:
Boys
![20 + (20 \div 100)30 = \\ = 20 + 0.2 \times 30 = \\ = 20 + 6 = \\26](https://tex.z-dn.net/?f=20%20%2B%20%2820%20%5Cdiv%20100%2930%20%3D%20%5C%5C%20%20%3D%2020%20%2B%200.2%20%5Ctimes%2030%20%20%3D%20%20%20%5C%5C%20%20%3D%2020%20%2B%206%20%3D%20%5C%5C26)
Girls
![26 - (26 \div 100)15 = \\ = 26 - 0.26 \times 15 = \\ = 26 - 3.9 = \\ = 22](https://tex.z-dn.net/?f=26%20-%20%2826%20%5Cdiv%20100%2915%20%3D%20%5C%5C%20%20%3D%2026%20-%200.26%20%5Ctimes%2015%20%3D%20%20%5C%5C%20%20%3D%2026%20-%203.9%20%3D%20%5C%5C%20%20%3D%2022)
Total last year 46
Total this year 48
Increase
Answer:
16
Step-by-step explanation:
5-2=3+1=4*3=12+4=16