F(x)= x³ + x² and g is a vertically scaled version of f. The functions are graphed where f is solid and g is
1 answer:
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Answer:
Options (B) and (E)
Step-by-step explanation:
Area of ΔABC =
=
= 42 in²
Area of trapezoid ADEC =
[Here, and
are the parallel sides and 'h' is the height of the isosceles trapezoid given]
=
= 96 in²
Area of the pentagon = Area of triangle ABC + Area of trapezoid ADEC
= 42 + 96
= 138 in²
Therefore, Options (B) and (E) are the correct options.
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.