Answer:
Conclusion: Fail to Reject Null Hypothesis
We conclude that the bags are not overfilled.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 441 gram
Sample mean, 
= 448 gram
Sample size, n = 19
Alpha, α = 0.01
Sample standard deviation, s = 27 grams
First, we design the null and the alternate hypothesis
We use One-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject null hypothesis when t > 2.55
We accept the null hypothesis and fail to reject it. Thus, we conclude that the bags are not overfilled.
Answer:
1 -2 -5
Step-by-step explanation:
P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is 
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
For properties of logarithm we have the following:
loga (x ^ b) = b * loga (x)
Therefore, following this property we have for this case:
log3 (x ^ 9) = 9log3 (x)
Answer:
the power property to rewrite log3x9 is:
B) 9log3x
