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3 years ago

What is the largest value in the sequence generated by the formula an = –n2 + 6n – 7?

2 answers:

5 0

Derive the equation and equate the derivative to zero.
dan/dt = -2n + 6 = 0
The value of n in the equation is 3. We substitute 3 to the original equation,
an = -(3)² + 6(3) - 7 = 2
The answer to this item is letter B.

alexandr402 [8]3 years ago

3 0

Answer:

Step-by-step explanation:

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2 years ago

A score that is three standard deviations above the mean would have a z score of

tia_tia [17]

The value of z-score for a score that is three standard deviations above the mean is 3.

In this question,

A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.

Let x be the score

let μ be the mean and

let σ be the standard deviations

Now, x = μ + 3σ

The formula of z-score is

$z_{score} = \frac{x-\mu}{\sigma}$

⇒ $z_{score} = \frac{\mu + 3\sigma -\mu}{\sigma}$

⇒ $z_{score} = \frac{ 3\sigma }{\sigma}$

⇒ $z_{score} = 3$

Hence we can conclude that the value of z-score for a score that is three standard deviations above the mean is 3.

Learn more about z-score here

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2 years ago

Read 2 more answers

Rearrange w= 3(2a + b) - 4 to make a the subject

Angelina_Jolie [31]

Answer:

$\boxed{a = \frac{w}{ 6} - \frac{b}{2} + \frac{2}{3} }$

Step-by-step explanation:

$Solve \: for \: a: \\ = > w=3(2a+b)-4 \\ \\ w=3(2a+b)4 \: is \: equivalent \: to \: 3(2a+b)-4= w: \\ = > 3(2a+b) - 4=w \\ \\ Expand \: out \: terms \: of \: the \: left \: hand \: side: \\ = > (3 \times 2a) + (3 \times b) - 4 = w \\ = > 6a+3b - 4=w \\ \\ Subtract \: 3b - 4 \: from \: both \: sides: \\ = > 6a + 3b - 4 - (3b - 4)=w - (3b - 4) \\ = > 6a = w - 3b + 4 \\ \\ Divide \: both \: sides \: by \: 6: \\ = > \frac{ \cancel{6}a}{ \cancel{6}} = \frac{w - 3b + 4}{6} \\ = > a = \frac{w}{6} - \frac{3b}{6} + \frac{4}{6} \\ = > a = \frac{w}{ 6} - \frac{b}{2} + \frac{2}{3}$

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