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2 years ago

Please help!! Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66

1 answer:

4 0

$r=-4-(-9)=-4+9=5 \\ \\ a_{1}=-9 \\ \\ a_{n}=66 \\ \\ a_{n}=a_{1}+(n-1)r \\ \\ -9+5(n-1)=66 \\ \\ -9+5n-5=66 \\ \\ 5n-14=66 \\ \\ 5n=80 \\ \\ n=16 \\ \\ S_{n}= \frac{a_{1}+a_{n}}{2} *n \\ \\ S_{n}= \frac{-9+66}{2}*16=57*8=456$

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Evaluate the response...

Kruka [31]

Answer:

um 18 lol

Step-by-step explanation:

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2 years ago

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A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on three numbers pays 11 to 1 (that is, if you bet $1 and one of

OLga [1]

Answer:

You are expected to lose $0.05 (or win -$0.05)

Step-by-step explanation:

Since the roulette wheel has the numbers 1 through 36, 0, and 00, there are 38 possible outcomes.

In this bet, you are allowed to pick 3 out of the 38 numbers. Thus, your chances of winning (P(W)) and losing (P(L)) are:

$P(W)=\frac{3}{38}\\P(L) = 1 - P(W)\\P(L) = \frac{35}{38}\\$

The expected value of the bet is given by the sum of the product of each outcome pay by its probability. Winning the bet means winning $11 while losing the bet means losing $1. The expected value is:

$EV = (11*\frac{3}{38}) -(1*\frac{35}{38})\\EV = -\$0.0525$

Therefore, with a $1 bet, you are expected to lose roughly $0.05

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2 years ago

Which term describes the fraction that has a variable or a variable expression

Lilit [14]

A term that describes the fraction that has a variable or valuable expression proper factor

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3 years ago

Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at D

Lunna [17]

Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

Combination formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem:

3 shirts from a set of 17.

Then, 3 shirts from a set of 20.

They are independent, hence, to find the total, we multiply both combinations.

$T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200$

She can select the shirts in 775,200 ways.

To learn more about the combination formula, you can check brainly.com/question/25821700

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2 years ago

A case of soda has 24 cans in it. There are 12 cases of soda. 1) What is the total number of cans of soda there are? 2) The soda

ElenaW [278]

Answer:

1) 288 cans

2) about 41 cans per team

Step-by-step explanation:

For number one you would multiply the numbers

24x12=288

there are 288 cans in total

2) divide 288 by 7 to distribute the cans evenly

each team gets about 41 cans

6 0

3 years ago