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GrogVix [38]
3 years ago
10

Hey! please help me with this question

Mathematics
1 answer:
astraxan [27]3 years ago
4 0
The answer is 1/4 or 0.25.

steps:
first look in the parenthesis and notice that the denominator is not the same. set the denominator to 6 for the fraction 1/3 by multiplying 3(2) and 1(2) which makes the fraction 1/6. now add -5/6 and 1/6 inside the parenthesis. you should get -3/6 which you should put in the simplest form: -1/2. now combine -1/2 and -1/2 to get 1/4
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Step-by-step explanation:

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7 0
3 years ago
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Expand the function f(x)=(3x+2)^4 with the binomial theorem, not factored
lozanna [386]

Step-by-step explanation:

Enter a problem...

Algebra Examples

Popular Problems

 

Algebra

 

Expand using the Binomial Theorem (3x+2)^4

(3x+2)4(3x+2)4

Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0n⁡nCk⋅(an-kbk).

4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=04⁡4!(4-k)!k!⋅(3x)4-k⋅(2)k

Expand the summation.

4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4

Simplify the exponents for each term of the expansion.

1⋅(3x)4⋅(2)0+4

Hope this helps!

8 0
3 years ago
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The moment generating function for health care costs experienced by a policyholder is given as follows:
Kaylis [27]

Answer:

0.525 = 52.5%

Step-by-step explanation:

Moment generating function ( Mx(t) ) = ( 4 / 4-t)^3

Reimbursement by Insurer = 70%

<u>Determine the expected reimbursement by insurer for policyholder</u>

 d/dx (Mx(t) ) = d/dt ( 4 / 4-t)^3 = d/dt (1 - t/4 )^-3

                                                 = 3/4 ( 1 - t/4 )^-4 =  3/4

as t → 0

Given that the insurer reimburses 70% = 0.7

expected reimbursement = 0.7 * 3/4  = 0.7 * 0.75 = 0.525

6 0
2 years ago
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