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2 years ago

What is the explicit formula for the sequence 1,6,11,16

Mathematics

1 answer:

zhenek [66]2 years ago

5 0

Answer:

an=5n-4

Step-by-step explanation:

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Use the distributive property to expand: x^-3 y^0(x^2-3x^5 y^4)

Soloha48 [4]

${x}^{ - 3} {y}^{0} ( {x}^{2} - 3 {x}^{5} {y}^{4} ) \\ = {x}^{ - 3} (1) ( {x}^{2} - 3 {x}^{5} {y}^{4} ) \\ = {x}^{ - 1} - 3 {x}^{2} {y}^{4}$

4 0

3 years ago

To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in

lukranit [14]

Answer: $\dfrac{26}{27}$

Step-by-step explanation:

Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.

Proportion of success : $p=\dfrac{6}{9}=\dfrac{2}{3}$

Sample size taken by customs oﬃcial : n= 3

Let x be a binomial variable that represents the tablets in the bottle.

Using Binomial probability formula :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

The probability that the traveler will be arrested for illegal possession of narcotics = $P(x\geq1)=1-P(x=0)$

$1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}$

Hence, the probability that the traveler will be arrested for illegal possession of narcotics = $\dfrac{26}{27}$

8 0

3 years ago

Bill is putting his baseball cards in a binder. For the amount of baseball cards he has, he knows he can use either 5 on each pa

Alexandra [31]

45 because if he had any less, there would be left overs for either the 5 per page or 9 per page.

7 0

2 years ago

Read 2 more answers

Solve 7+x-15=2 over 2/3

4vir4ik [10]

Answer:

x= $\frac{32}{3}$

4 0

2 years ago

When distributing how would i go about. distributing and variable plus a constanat term????

kozerog [31]

Answer:

3c+4

Step-by-step explanation:

When distributing a problem with 2 of the same signs, all you have to do is leave it the way it is. Basically pretend it's not there at all and you should the answer

4 0

2 years ago