Answer:
E (Y) = 3
Step-by-step explanation:
If a 4-sided die is being rolled repeatedly; and the odd-numbered rolls (1st 3rd,5th, etc.)
The probability of odd number roll will be, p(T) = 
However, on your even-numbered rolls, you are victorious if you get a 3 or 4. Also, the probability of even number roll, p(U) =
In order to calculate: E (Y); We can say Y to be the number of times you roll.
We know that;
E (Y) = E ( Y|T ) p(T) + E ( Y|U ) p(U)
Let us calculate E ( Y|T ) and E ( Y|U )
Y|T ≅ geometric = 
Y|U ≅ geometric =
also; x ≅ geometric (p)
∴ E (x) = 
⇒ 
= 4 ; also 
= 2
E (Y) = 4 × + 2 ×
= 2+1
E (Y) = 3
Answer:
14.6
Step-by-step explanation:
A television used to cost $9,000 and today it costs
$500 less, what is the percentage of
discount?
Percentage discount: 5 5/9 percent
A three-dimensional vector field is conservative if it is also irrotational, i.e. its curl is
. We have
so this vector field is not conservative.
- - -
Another way of determining the same result: We want to find a scalar function
such that its gradient is equal to the given vector field,
:
For this to happen, we need to satisfy
From the first equation, integrating with respect to
yields
Note that
*must* be a function of
only.
Now differentiate with respect to
and we have
but this contradicts the assumption that
is independent of
. So, the scalar potential function does not exist, and therefore the vector field is not conservative.
Answer:
<em>z </em>= 9
Step-by-step explanation:
ln 63 = ln z + ln 7
We have the formula:
ln A + ln B = ln AB
So, ln 63 = ln 7<em>z</em>
7<em>z </em>= 63
Divide both sides by 7.
<em>z</em> = 9
