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2 years ago

Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.

Mathematics

1 answer:

melamori03 [73]2 years ago

8 0

Answer:

The sequence is arithmetic with a common difference of -10

Step-by-step explanation:

From the question, we want to determine if the sequence is arithmetic or geometric

From the question

f(1) = 5

f(2) = -5

f(3) = -15

Mathematically for the common difference;

f(3) - f(2) = f(2) - f(1)

Since;

-15-(-5) = -5-5

-10 = -10

Since the common difference here is same , then the sequence is arithmetic with a common difference of -10

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2 years ago

Read 2 more answers

Please explain how you got the answers also please. Thank you :)

Umnica [9.8K]

Answer:

x = -2 —> y = 4

x= 0 —> y = 1

x= 3 —> y = 1/8

Step-by-step explanation:

$y = ( \frac{1}{2} ) ^{x} \\ y = ( \frac{1}{2} ) ^{ - 2} =( \frac{2}{1} ) ^{2} = {2}^{2} = 4$

$y = ( \frac{1}{2} ) ^{x} \\ y = ( \frac{1}{2} ) ^{ 0} =1$

$y = ( \frac{1}{2} ) ^{x} \\ y = ( \frac{1}{2} ) ^{ 3} = \frac{ {1}^{3} }{ {2}^{3} } = \frac{1}{8}$

I hope I helped you^_^

7 0

2 years ago

When Samuel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a

k0ka [10]

Answer:

$z=\frac{x-\mu}{\sigma}$

And we can find the nnumber of deviations from the mean for each limit given:

$z_1 = \frac{17-32}{5} = -3$

$z_2= \frac{47-32}{5} = 3$

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

Step-by-step explanation:

Let X the random variable that represent the amount of time it takes him to arrive, and for this case we know the distribution for X is given by:

$X \sim N(32,5)$

Where $\mu=32$ and $\sigma=5$

We want to find this probability:

$P(17$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And we can find the nnumber of deviations from the mean for each limit given:

$z_1 = \frac{17-32}{5} = -3$

$z_2= \frac{47-32}{5} = 3$

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

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2 years ago

Graph: f(x) = 4x - 4

aleksklad [387]

See the graph in the attached image.

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2 years ago