Answer: 50 and 900 is correct
Step-by-step explanation:
50 and or 100
Y=3x-4
This affects the previous line because now the slope is a positive which completely turns it around. and the Y intercept is now on the opposite side of the X axis
Answer: The filled out table is shown below in the attached image
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Explanation:
The letters A through J are one way to fill out the table. Though there are other possible orders.
Start at letter A, which is from the fact we have 40 people total
Then move to letter B. This is the total number who like pasta (26)
We have C = A-B = 40-26 = 14 people who don't like pasta
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Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.
F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.
Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.
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So we have these values
- A = 40
- B = 26
- C = 14
- D = 21
- E = 19
- F = 4
- G = 17
- H = 9
- J = 10
Answer:
The 95% confidence interval is

Step-by-step explanation:
From the question we are told that
The first sample size is 
The first sample mean is
The first standard deviation is 
The second sample size is 
The second sample mean is 
The second standard deviation is 
Generally the degree of freedom is mathematically represented as
![df = \frac{ [ \frac{s_1^2 }{n_1 } + \frac{s_2^2 }{n_2} ]^2 }{ \frac{1}{(n_1 - 1 )} [ \frac{s_1^2}{n_1} ]^2 + \frac{1}{(n_2 - 1 )} [ \frac{s_2^2}{n_2} ]^2 }](https://tex.z-dn.net/?f=df%20%3D%20%20%5Cfrac%7B%20%5B%20%5Cfrac%7Bs_1%5E2%20%7D%7Bn_1%20%7D%20%20%2B%20%5Cfrac%7Bs_2%5E2%20%7D%7Bn_2%7D%20%5D%5E2%20%7D%7B%20%5Cfrac%7B1%7D%7B%28n_1%20-%201%20%29%7D%20%5B%20%5Cfrac%7Bs_1%5E2%7D%7Bn_1%7D%20%5D%5E2%20%2B%20%5Cfrac%7B1%7D%7B%28n_2%20-%201%20%29%7D%20%5B%20%5Cfrac%7Bs_2%5E2%7D%7Bn_2%7D%20%5D%5E2%20%20%7D)
=> ![df = \frac{ [ \frac{5.9^2 }{34 } + \frac{4.4^2 }{34} ]^2 }{ \frac{1}{(34 - 1 )} [ \frac{5.9^2}{34} ]^2 + \frac{1}{(34- 1 )} [ \frac{4.4^2}{ 34} ]^2 }](https://tex.z-dn.net/?f=df%20%3D%20%20%5Cfrac%7B%20%5B%20%5Cfrac%7B5.9%5E2%20%7D%7B34%20%7D%20%20%2B%20%5Cfrac%7B4.4%5E2%20%7D%7B34%7D%20%5D%5E2%20%7D%7B%20%5Cfrac%7B1%7D%7B%2834%20-%201%20%29%7D%20%5B%20%5Cfrac%7B5.9%5E2%7D%7B34%7D%20%5D%5E2%20%2B%20%5Cfrac%7B1%7D%7B%2834-%201%20%29%7D%20%5B%20%5Cfrac%7B4.4%5E2%7D%7B%2034%7D%20%5D%5E2%20%20%7D)
=> 
Generally the standard error is mathematically represented as

=> 
=> 
From the question we are told the confidence level is 95% , hence the level of significance is

=> 
Generally from the t distribution table the critical value of at a degree of freedom of is

Generally the margin of error is mathematically represented as

=> 
=> 
Generally 95% confidence interval is mathematically represented as

=> 
=> 