Explain algebraically using properties of logs how log(100x) is related to log(x)
1 answer:
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Answer:
We conclude that the machine is under filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 436.0 gram
Sample mean, = 429.0 grams
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 23.0 grams
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.
Answer:
Value of
Step-by-step explanation:
Given: A vertical line is dropped from the x-axis to the point (12, -9) as shown in the diagram below;
To find the value of .
By definition of secants;
Now, first find the cosine of angle
As the point (12 , -9) lies in the IV quadrant , where
Consider a right angle triangle;
here, Adjacent side = 12 units and Opposite side = -9 units
Using Pythagoras theorem;
or
Cosine ratio is defined as in a right angle triangle, the ratio of adjacent side to hypotenuse side.
then;
and
therefore, the value of is,
