Write an explicit formula for sequence The Given Sequence is.. 3,-6,12,-24..

Mathematics

1 answer:

yarga [219]3 years ago

3 0

3.(-2)=-6
(-6).(-2)=12
12.(-2)=-24
.
.
.
q=-2
---------------
a(n)=a(1).q^(n-1)
a(n)=3.(-2)^(n-1)

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Select the correct answer. Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% ch

GREYUIT [131]

Answer:

Option A 0.1698

Step-by-step explanation:

Given that Jason has a chance for getting oil as 45%

THe kit he buys show accurate result with 80% probability

Let A1- Event that the land has oil

A2 - Event that the land has no oil

B- The test gives negative result

A1 and A2 are mutually exclusive and exhaustive

P(A1) = 0.45 and P(A2) =0.55

Hence we can use Baye theorem

Then P(B) = P(A1B)+P(A2B)= $0.45(0.20)+0.55(0,80)\\=0.09+0.0.44\\=0.53$

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3 0

3 years ago

(PLZ HELP STAT) The lengths of three sides of a trapezoid are shown below:

balandron [24]

Hey there :)

The perimeter formula of a trapezium is:
P = a + b + c + d ( adding all sides )

Perimeter is given : P = 17z³ + 60z² + 2z - 5

Part A :

Total lengths of sides 1, 2 and 3 will be just adding the given lengths :
1 → 16z² - 4z + 2
2 → 7z² - 2z + 21
3 → 18z² - 3z + 2

side 1 + side 2 + side 3
( 16z² - 4z + 2 ) + ( 7z² - 2z + 21 ) + ( 18z² - 3z + 2 )

Combine like terms together:

16z² + 7z² + 18z² - 4z - 2z - 3z + 2 +21 + 2
41z² - 9z + 25

Part B:

Length of 4th side will be the total perimeter minus the total length of sides 1, 2 and 3:

( 17z³ + 60z² + 2z - 5 ) - ( 41z² - 9z + 25 )

Combine like terms

17z³ + 60z² - 41z² + 2z + 9z - 5 - 25
17z³ + 19z² + 11z - 30

Part C:

Addition of polynomials result in polynomials as well as subtraction of polynomials result in polynomials.

Therefore, this polynomial is closed under addition and subtraction.