Answer:
Step-by-step explanation:
Using either the critical value rule or the p-value rule, a conclusion can be drawn at a level of significance (alpha)
The null hypothesis: u = hypothesized mean
Alternative hypothesis: u > u0 or u < u0 for a one tailed test
Alternative hypothesis for a two tailed test: u =/ u0
To draw a conclusion by failing to reject the null hypothesis as stated then: using critical value
Observed z score > critical z score for both the one and two tailed test.
Or using p value:
P-value > alpha for a one tailed test
P-value > alpha/2 for a two tailed test
Thus, if a one-sided null hypothesis for a single mean cannot be rejected at a given significance level, then the corresponding two-sided null hypothesis will also not be rejected at the same significance level.
Answer:
The relationship is proportional for the turtle and the equation is Distance = 54*Time
Step-by-step explanation:
Turtle’s run:
Distance (meters) | Time (minutes)
108 | 2
405 | 7.5
540 | 10
1768.5 | 32.75
Rabbitt’s run:
Distance (meters) | Time (minutes)
800 | 1
900 | 5
1107.5 | 20
1524 | 32.5
The relationship between distance traveled and time is proportional if this equation is satisfied:
Distance = k*Time or k = Distance/Time
where k is a constant
For the turtle:
108/2 = 405/7.5 = 540/10 = 1768.5/32.75 = 54
Then, the relationship is proportional and the equation is Distance = 54*Time
For the rabbit:
800/ 1 = 800
900/5 = 180
1107.5/20 = 55.375
1524/32.5 = 46.89
Then, the relationship is not proportional.
Answer:

Step-by-step explanation:
Denote first four terms of the geometrc sequence as

Note that

Then the common ratio is

Therefore, the recursive formula for the geometric sequence is

Answer:
2. angle BAD is equal to angle DCB?
3. angle CBA is equal to angle ADC, then
4.triangle BEA is equal to triangle DEC and triangle BEC is equal to DEA
Step-by-step explanation:
since line BCD is equal to line DAB
AND line CBA is equal to line ADC
and because BEA triangle equals DEC, angles BEA and DEC are congruent
and angle BEC is equal to DEA
and yeah your right, it would be supplementary.
The answer is in the following picture, hopes it can help you~