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>
Answer:
Exact Form-9+√69÷6
Decimal form-2.88443731
Step-by-step explanation:
Answer:
0.35
Step-by-step explanation:
this is the answer.........
Answer:
A function only
Step-by-step explanation:
This situation represents a function only. Air pressure is the independent (input) variable and the weight of the candy dispensed is the dependent variabe:
weight = 3(pressure on the lever)
This has the form of a function, as well as of a direct proportion.
Answer:
The proportion of temperatures that lie within the given limits are 10.24%
Step-by-step explanation:
Solution:-
- Let X be a random variable that denotes the average city temperatures in the month of August.
- The random variable X is normally distributed with parameters:
mean ( u ) = 21.25
standard deviation ( σ ) = 2
- Express the distribution of X:
X ~ Norm ( u , σ^2 )
X ~ Norm ( 21.25 , 2^2 )
- We are to evaluate the proportion of set of temperatures in the month of august that lies between 23.71 degrees Celsius and 26.17 degrees Celsius :
P ( 23.71 < X < 26.17 )
- We will standardize our limits i.e compute the Z-score values:
P ( (x1 - u) / σ < Z < (x2 - u) / σ )
P ( (23.71 - 21.25) / 2 < Z < (26.17 - 21.25) / 2 )
P ( 1.23 < Z < 2.46 ).
- Now use the standard normal distribution tables:
P ( 1.23 < Z < 2.46 ) = 0.1024
- The proportion of temperatures that lie within the given limits are 10.24%
