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
The nearest whole number is <span><span>8</span></span>
When we are looking at rounding, we round to the number that our fraction or decimal is located. So, since we are rounding to the nearest whole number, given our original mixed number (
) our answer will be either 7 or 8.
We can change
to a decimal to equal 7.8 by multiplying both our denominator and our numerator by 2 since 5 * 2 =10, which would change our fraction to
which is the same thing as .8
If we look at 7.8 and want to know if it is closer to 8 or 7, we just remember that when rounding, if it is 5 or above, you round up, anything else, you leave the number in front of it like it is. .8 is above 5 so we round 7 to the whole number 8. So, our answer is 8
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Answer:
Daddy
Step-by-step explanation:
Chill
The general solution of the given differential equation be
For given question,
We have been given a differential equation y'' − y' − 12y = e^(4x)
We need to solve the given differential equation by undetermined coefficients.
We can write given differential equation as where
First solve the corresponding homogeneous differential equation:
y'' - y' - 12y = 0
The characteristic equation is:
m² - m - 12 =0
Let's find the roots of above quadratic equation by factorization.
⇒ m² - m - 12 = 0
⇒ (m - 4)(m + 3) = 0
⇒ m - 4 = 0 OR m + 3 = 0
⇒ m = 4 OR m = -3
Hence the complementary solution is,
Let the general solution of a second order homogeneous differential equation be
The unknown functions C1(x) and C2(x) can be determined from the system of two equations:
from (1),
Substitute this value in equation (2)
and
and
Therefore, the general solution of the given differential equation be
Learn more about the differential equation here:
brainly.com/question/13234334
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