Karen says that the equation 3( x - 3) + 5 = 3x + 1 + 4
1 answer:
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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
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=>
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
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=>
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:
- geometric sequence with initial value 20 and common ratio 1/2
- average rate of change on [1, 3] = -7.5
Step-by-step explanation:
(a) The given points have sequential values of x and values of y that are each 1/2 the value before. The common ratio tells us the sequence is a geometric sequence.
(b) The first given point is (2, 10), so extrapolating backward, we determine the previous point to be ...
... (2-1, 10/(1/2)) = (1, 20)
Thus, we have enough information to determine the average slope between n=1 and n=3.
... (difference in y)/(difference in n) = (5 -20)/(3 -1) = -15/2 = -7.5
