Answer: just took the test its 3and 4
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
![n =290](https://tex.z-dn.net/?f=n%20%3D290%20)
b
c
The correct option is D
Step-by-step explanation:
From the question we are told that
The margin of error is ![E = 0.23](https://tex.z-dn.net/?f=E%20%20%3D%20%200.23)
The largest value is k = 15
The smallest value is u = 7
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally population standard deviation estimate is mathematically represented as
![\sigma = \frac{Range }{4}](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Cfrac%7BRange%20%7D%7B4%7D)
Here the Range is mathematically represented as
![Range = k - u](https://tex.z-dn.net/?f=Range%20%20%3D%20%20k%20-%20u)
=> ![Range = 15 - 7](https://tex.z-dn.net/?f=Range%20%20%3D%2015%20-%207)
=> ![Range = 8](https://tex.z-dn.net/?f=Range%20%20%3D%208)
=> ![\sigma = \frac{8 }{4}](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Cfrac%7B8%20%7D%7B4%7D)
=> ![\sigma = 2](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%202)
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [1.96 * 2 }{0.23} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B1.96%20%20%2A%20%202%20%7D%7B0.23%7D%20%5D%20%5E2)
=> ![n =290](https://tex.z-dn.net/?f=n%20%3D290%20)
Generally to obtain a conservatively small sample size the population standard deviation estimate becomes
=> ![\sigma = \frac{Range }{6}](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Cfrac%7BRange%20%7D%7B6%7D)
=> ![\sigma = \frac{8 }{6}](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%20%20%5Cfrac%7B8%20%7D%7B6%7D)
=> ![\sigma =1.333](https://tex.z-dn.net/?f=%5Csigma%20%20%3D1.333)
Generally the conservatively small sample size is mathematically evaluated as
![n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%20%5E2)
=> ![n = [1.96 * 1.333 }{0.23} ] ^2](https://tex.z-dn.net/?f=n%20%3D%20%5B1.96%20%20%2A%20%201.333%20%7D%7B0.23%7D%20%5D%20%5E2)
=>
Answer:
90.84
Step-by-step explanation:
49.7+41.14= 90.84
Answer:
Step-by-step explanation:
l^2=[(7-V2)/2]^2+(9-V2/2)^2=
49-7V2+2/4+81-9V2+2/4=
49+81+4/4-16V2=
131-16V2=108.4 ft
so l=V108.4≈10.4ft
R10 is 5% of R200
<h3>What percentage is R10 of R200?</h3>
The given parameters are:
R10 of R200
The percentage is calculated as
Percentage = R10/R200 * 100%
Evaluate the product
Percentage = 5%
Hence, R10 is 5% of R200
Read more about percentage at:
brainly.com/question/843074
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