Answer:0.84164
Step-by-step explanation:
Given

we know

Applying this identity we get





Firstly , we will check continuity at x=1
we can use method
Suppose, f(x) is continuous at x=c
then it must satisfy


firstly , we can find limit


so, we get

now, we can find f(1)

so, we got

so, this is continuous at x=1
Hence , option-D...........................Answer
The formula for z-score is:
z-score = (X – μ) / σ
where,
X = sample
μ = mean =
1001
σ = standard
deviation = 6
Since we are
looking for volumes less than 1001 mL, let us use 1000.5 mL for X.
z-score =
(1000.5 – 1001) / 6
z-score =
-0.083
Referring to
the standard distribution table for z-test, this corresponds to:
p = 0.4681
<span>So 46.81% of
the bottles are less than 1001 mL.</span>
<h3>
Answer: 64 cm^2</h3>
Reason:
The parallelogram has area of A = base*height = 10*7 = 70 cm^2
The white rectangle has area of B = base*height = 3*2 = 6 cm^2
The shaded region has area of A - B = 70 - 6 = 64 cm^2
If you are curious why the rectangle and parallelogram use the same formula to get the area, notice how you can move that triangle on the left toward the right side so that a rectangle can be formed.