The equation sin(40o) = can be used to determine the length of line segment AC. What is the length of ? Round to the nearest ten
th.
2 answers:
The answer:
For more explanation please look at the image.
according to the image, the length of line segment AC can be found as
the following method shows:
<span>sin(40°)= opposite side / hypotenuse, opposite side = b, hypotenuse = AB= 20cm
</span>sin(40°)= b / 20 and this applies, b = 20 x sin(40°) = 0.64*20 = 12.85 cm
AC= 12.85 cm
For more explanation please look at the image.
according to the image, the length of line segment AC can be found as
the following method shows:
<span>sin(40°)= opposite side / hypotenuse, opposite side = b, hypotenuse = AB= 20cm
</span>sin(40°)= b / 20 and this applies, b = 20 x sin(40°) = 0.64*20 = 12.85 cm
AC= 12.85 cm
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Answer:
Test statistic = -2.25
P-value = 0.0199
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 450 gram
Sample mean, = 441 grams
Sample size, n = 16
Alpha, α = 0.05
Sample variance = 256
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,
Degree of freedom =
We can calculate the p-value from the table as:
P-value = 0.0199
Conclusion:
Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.
Thus, there is enough evidence to support the claim that the machine is under filling the bags .