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3 years ago

Consider the sequence below

Mathematics

1 answer:

GalinKa [24]3 years ago

5 0

Answer: option D is the correct answer

Step-by-step explanation:

In the given sequence, the consecutive terms differ by a common difference.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 351

d = - 343 - - 351 = - 343 + 351

d = 8

Therefore, the explicit function which defines the sequence is

f(n) = - 351 + 8(n - 1)

f(n) = 8n - 8 - 351

f(n) = 8n - 359

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Factor the following expression using the GCF 10dr-60r

Umnica [9.8K]

Answer:

Step-by-step explanation:first you would take out the r and then figure out what number goes into both 10and 60 and that number is 5

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3 years ago

A sample of small bottles and their contents has the following weights (in grams): 4, 2, 5, 4, 5, 2, and 6. What is the sample v

Inessa05 [86]

Answer:

What is the sample variance of bottle weight 2.33

Step-by-step explanation:

First find the mean. The mean of the bottle weight is obtained by taking the ratio of the sum of ages and total number of ages.

Mean = (4+2+5+4+5+2+6) / 7

= 28 / 7

= 4

Sample Variance = $\frac{\left[\begin{array}{ccc}(4-4)^{2} +(2-4)^{2} +\\(5-4)^{2} + (4-4)^{2} +\\(5-4)^{2} + (2-4)^{2} +\\(6-4)^{2}\end{array}\right]}{7-1}$

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3 0

3 years ago

You have a 1 in 4 chance of winning a game. How would you calculate the probability that you will win 3 times in a row?

Ierofanga [76]

Answer:

The probability of winning three games in a row is 1/64 or 1.6%

Step-by-step explanation:

Probability of winning a game = 1/4

Probability of winning two games in a row = 1/4 * 1/4 = 1/16

Probability of winning three games in a row = 1/4 * 1/4 * 1/4 = 1/64

Probability of winning three games in a row = (1/4)³ = 1/64

1/64 = 0.015625

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3 years ago

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Korvikt [17]

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Since a line doesn't have endpoints, it doesn't matter which

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I have attached 5 possible names for the line below.

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3 years ago

Read 2 more answers

Which linear function represents the table?

NemiM [27]

Answer: C) y = -7x + 7

Step-by-step explanation:

The formula produces the same numbers that appear on the table.

x y calculated

6 -35

-2 21

-1 14

1 0

-6 49

4 0

2 years ago