root means square velocity of one mole of a monoatomic gas having molar mas*s m(M) is Urms. The relation between average kinetic energy (e)of the gas and Urms is Urms=M2E
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Answer:
3
Step-by-step explanation:
Answer:

Step-by-step explanation:
This is <em>a separable differential equation</em>. Rearranging terms in the equation gives

Integration on both sides gives

where
is a constant of integration.
The steps for solving the integral on the right hand side are presented below.

Therefore,

Multiply both sides by 

By taking exponents, we obtain

Isolate
.

Since
when
, we obtain an initial condition
.
We can use it to find the numeric value of the constant
.
Substituting
for
and
in the equation gives

Therefore, the solution of the given differential equation is

Z = (X-Mean)/SD
<span>z1 = (165 - 150)/15 = +1 </span>
<span>z2 = (135 - 150)/15 = - 1 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean +/- 1SD covers 68% of the values </span>
<span>100% - 68% = 32% </span>
<span>The remaining 32% is equally distributed below z = - 1 and z = +1 </span>
<span>32%/2 = 16%
</span>
<span>Therefore,
</span>
<span>a) Number of men weighing more than 165 pounds = 16% of 1000 = 160 </span>
<span>b) Number of men weighing less than 135 pounds = 16% of 1000 = 160</span>