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3 years ago

1. Given a sequence is defined by the explicit definition tn=n^2+n, find the 4th term of the sequence. (ie t4)

Mathematics

2 answers:

Paraphin [41]3 years ago

5 0

Answer:

1 C) 20,

2 C) 27,

The sequence is 3,5,9,17,33

dem82 [27]3 years ago

3 0

Answer:

20,

27,

3,5,9,17,33

Step-by-step explanation:

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Let X be from a geometric distribution with probability of success p. Given that P(X > y) = (1 ???? p)y for any positive inte

nevsk [136]

Full Question

Let X be from a geometric distribution with probability of success p.

Given that P ( X > a + b | X > a ) = q ^ { b } = P ( X > b ) for any positive integer x.

Show that for positive integers a and b, P(X > a + b | X > a) = P(X > b).

Answer:

P(X > a + b | X > a) = P(X > b)

Proved --- See Explanation

Step-by-step explanation:

Given

P ( X > a + b | X > a ) = q ^ { b } = P ( X > b )

From the above.

We can derive the following

P(X > a), P(X > b) and P(X > a + b)

P(X > a) = q^a

P(X > b) = q^b

P(X > a + b) = q^(a + b)

Using the definition of conditional probability

P(X > a + b | X > a) can be represented by P(X > a + b and X > a)/ P(X>a)

X>a+b and X>a is equivalent to X>a+b since a+b is larger than a

So,

P(X > a + b and X > a)/ P(X>a) can be rewritten as

P(X>a + b)/P(X > a)

Bringing both sides together, we're left with

P(X > a + b | X > a) = P(X>a + b)/P(X > a)

By substituton

P(X > a + b | X > a) = q^(a+b)/q^a

P(X > a + b | X > a) = q^(a + b - a)

P(X > a + b | X > a) = q^(a - a + b)

P(X > a + b | X > a) = q^b

Since P(X > b) = q^b

So,

P(X > a + b | X > a) = P(X > b)

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3 years ago

rebekah's baby brother wights 7.71 pounds. Her newborn kitten weights 0.24 pound. How much more does tebekah's baby brother weig

babymother [125]

Rebekah's baby weighs 7.47 more than her kitten

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3 years ago

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A number y is 3 times greater than a number x. Which equation shows this relationship

vladimir1956 [14]

Answer:

y = 3x

Step-by-step explanation:

y is 3 times greater than x. So to get Y you would have multiply x 3 times. 3x = 3 * x.

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3 years ago

Please helpppp! The ticket price for a concert at a historic music hall includes $6.40 for the concert $4.80 for the program and

solmaris [256]

Answer:

Equation for cost of the hall restoration fee 70.4 + 52.8 + 11f = 128 .15 and the cost of the hall restoration fee is $0.45 .

Step-by-step explanation:

Let us assume that the hall restoration fee be f .

As given

The ticket price for a concert at a historic music hall includes.

$6.40 for the concert $4.80 for the program and a hall restoration fee the price for 11 tickets is$128.15 .

Than the equation becomes

(Cost for concert + Cost for program + Hall restoration fee) × Number of tickets = Total amount of 11 tickets

Putting all the values in the above

(6.40 + 4.80 + f) × 11 = 128.15

Open the bracket

6.40 × 11 + 4.80 × 11 + 11f = 128.15

70.4 + 52.8 + 11f = 128 .15

11f = 128 .15 - 123.2

11f = 4.95

$f = \frac{4.95}{11}$

f = $ 0.45

Therefore the equation for cost of the hall restoration fee 70.4 + 52.8 + 11f = 128 .15 and the cost of the hall restoration fee is $0.45 .

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3 years ago

linda is building a rectangular playhouse. the width is x feet. the length is x + 3 the distance around the base of the playhous

Fittoniya [83]

What + 3 = 4 and 9 is the width 9 times 4 = 36

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