Answer:
C
Step-by-step explanation:
over the interval [-1,1], f(x) is greater than 0
Simplifying
2x + -3(3 * 0.6x + 2.7)
Multiply 3 * 0.6
2x + -3(1.8x + 2.7)
Reorder the terms:
2x + -3(2.7 + 1.8x)
2x + (2.7 * -3 + 1.8x * -3)
2x + (-8.1 + -5.4x)
Reorder the terms:
-8.1 + 2x + -5.4x
Combine like terms: 2x + -5.4x = -3.4x
-8.1 + -3.4x
First you have to have the absolute value isolated so the 2 has to be divided. Then set up the two cases and solve.
Answer:
36
Step-by-step explanation:
Data provided in the question:
Standard error = 1.5 minutes ( ∵ number are repetitive 1.51.5 )
Standard deviation = 9 minutes ( ∵ number are repetitive 99 )
Now,
Standard error = ( Standard deviation ) ÷ √n
Here,
n is the sample size
Therefore,
on substituting the respective values, we get
1.5 = 9 ÷ √n
or
√n = 9 ÷ 1.5
or
√n = 6
or
n = 6² = 36
We need to solve for the radius
circumference = radius * 2 * PI
radius = circumference / (2*PI)
radius = 4.5 / (
<span>
<span>
<span>
6.2831853072
</span>
</span>
</span>
)
radius =
<span>
<span>
<span>
0.7161972439
</span>
</span>
</span>
feet
Formula for cylinder volume:
<span>Volume = </span><span>π • r² • height</span>
Volume = <span>π • (</span><span>
<span>
<span>
0.7161972439)^2 * 12
</span></span></span>Volume = PI * <span><span>0.5129384922
</span>
* 12
Volume </span><span><span><span>19.3373255857
</span>
cubic feet
</span> </span>