Answer:
-7x + 4y = +42
Step-by-step explanation:
Going from point (2, -7) to point (6, 0), x increases by 4 and y increases by 7. Thus, the slope of the line in question is m = 7/4.
Starting from the equation y = mx + b, and subbing (7/4) for m, 6 for x and 0 for y, we get:
0 = (7/4)(6) + b. Then b = 42/4, or 21/2. Thus, we now have y = (7/4)x + 21/2.
We must put this into "standard form." Multiplying all three terms by 4, we get:
4y = 7x + 42. Rearranging these terms to fit the "standard form" equation Ax + By = C, we get:
-7x + 4y = +42
Answer:
a
The null hypothesis is 
The alternative hypothesis 
b

c
The decision rule is
Fail to reject the null hypothesis
Step-by-step explanation:
From the question we are told that
The value given is
S/N
1 7 5
2 4 3
3 8 7
4 8 8
5 7 9
6 7 5
7 6 5
Generally the sample mean for the first sample is mathematically represented as

=> 
=> 
Generally the sample mean for the second sample is mathematically represented as

=> 
=> 
Generally the sample standard deviation for the first sample is mathematically represented as

=> 
=> 
Generally the sample standard deviation for the second sample is mathematically represented as

=> 
=> 
Generally the pooled standard deviation is

=> 
=> 
The null hypothesis is 
The alternative hypothesis 
Generally the test statistics is mathematically represented as

=> 
=> 
Generally the degree of freedom is mathematically represented as

=> 
=> 
From the t distribution table the probability of
at a degree of freedom of
is

Generally the p-value is

From the values obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
Answer:
0.50
Step-by-step explanation:
The individuals that do and do not wear glasses are evenly split, it is 2/4, therefore the probability that a teenager wears glasses AND watched TV is 0.50.
1x•4x•5x=180
10x=180
10/10x=180/10
X= 18
See attached for the solution