What is the point-slope form of a line that has a slope of 3 and passes through the point (-1, 4)?
2 answers:
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Answer:
Step-by-step explanation:
a. The hypothesis test is one tailed_____ test.
(Because we check whether sample weight is greater than hence one tailed or right tailed)
The test statistic follows a __t___ distribution.(Because only sample std deviation s is known)
The value of the test statistic is___Mean difference/Std error =__
b. df = 66
Reject H0 if t ≥ 1.668
c. The p-value is_____0.059444
d. Using the critical value approach, the null hypothesis is _accepted____, because __t <1.668___ Using the p-value approach, the null hypothesis is__accepted___, because__p value <0.05 our significance level.___ Therefore, you __may___ conclude that the mean weight of the airline's passengers' carry-on items has increased after the implementation of the checked-bag fee.
Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change =
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change =
Rate of change =
Rate of change = -1