Answer:
95% confidence interval for the proportion of internet users who say online groups have helped solved a problem is between a lower limit of (0.65 - 0.9349/√n) and an upper limit of (0.65 + 0.9349/√n).
Step-by-step explanation:
Confidence interval for a proportion is given as p +/- margin of error (E)
p is the proportion of internet users who say online groups have helped solved a problem = 65% = 0.65
Let the number of internet users be represented by n
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value corresponding to infinity degrees of freedom and 5% significance level is 1.96
E = critical value × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.65(1-0.65) ÷ n] = 1.96 × sqrt(0.2275 ÷ n) = 1.96×0.477/√n = 0.9349/√n
Lower limit of proportion = p - E = 0.65 - 0.9349/√n
Upper limit of proportion = p + E = 0.65 + 0.9349/√n
95% confidence interval is (0.65-0.9349/√n, 0.65+0.9349/√n)
Answer:
1st answer a 44
Step-by-step explanation:
For the exponential expression,
the simplified value is 2.
<h3>
How to simplify the exponential expression?</h3>
First, we need to remember a rule for exponential expressions, it says that:
![x^{1/n} = \sqrt[n]{x}](https://tex.z-dn.net/?f=x%5E%7B1%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bx%7D)
Then we can rewrite the given exponential expression as:
![16^{1/4} =\sqrt[4]{16}](https://tex.z-dn.net/?f=16%5E%7B1%2F4%7D%20%3D%5Csqrt%5B4%5D%7B16%7D)
So, we just need to find a number that when multiplied by itself 4 times, is equal to 16.
We know that:
2*2 = 4
Then:
2*2*2*2 = 2⁴ = 4*4 = 16
Then we can conclude that:
![16^{1/4} =\sqrt[4]{16} = 2](https://tex.z-dn.net/?f=16%5E%7B1%2F4%7D%20%3D%5Csqrt%5B4%5D%7B16%7D%20%3D%202)
So the simplified value of the exponential expression is 2.
If you want to learn more about exponential expressions:
brainly.com/question/10343716
#SPJ4
Answer: 
Step-by-step explanation:
The sum of 10 consecutive integersstarting with 11
= 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155
Lets try 29:
29 + 30 + 31 + 32 + 33 = 155
Therefore our answer is:

Answer:
b
Step-by-step explanation:
area = pie x radius(2)
= 3.142 x 13 (2)
= 530.998