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solong [7]
3 years ago
14

Evaluate f(x) = 5x - 1 given the inputs (-1, 0,1,2)

Mathematics
1 answer:
Mice21 [21]3 years ago
5 0

Answer:

  -6, -1, 4, 9

Step-by-step explanation:

You can substitute the values and do the arithmetic:

  f(-1) = 5(-1) -1 = -5 -1 = -6

Or, you can recognize that the output values will increase by 5 for each increase of 1 in the input value.

  f(0) = -6 +5 = -1

  f(1) = -1 +5 = 4

  f(2) = 4 +5 = 9

The (input, output) pairs are ...

  (-1, -6), (0, -1), (1, 4), (2, 9)

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A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were de
olga2289 [7]

Answer:

Se=1.2

Step-by-step explanation:

The standard error is the standard deviation of a sample population. "It measures the accuracy with which a sample represents a population".

The central limit theorem (CLT) states "that the distribution of sample means approximates a normal distribution, as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population distribution shape"

The sample mean is defined as:

\bar X =\frac{\sum_{i=1}^n x_i}{n}

And the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

Let X denotes the random variable that measures the particular characteristic of interest. Let, X1, X2, …, Xn be the values of the random variable for the n units of the sample.

As the sample size is large,(>30) it can be assumed that the distribution is normal. The standard error of the sample mean X bar is given by:

Se=\frac{\sigma}{\sqrt{n}}

If we replace the values given we have:

Se=\frac{12}{\sqrt{100}}=1.2

So then the distribution for the sample mean \bar X is:

\bar X \sim N(\mu=80,Se=1.2)

5 0
3 years ago
Solve the question on the picture if it is wrong
romanna [79]

Given:

Cost of 1 digital song = $1.05

Cost of 2 digital song = $2.10

Cost of 5 digital song = $5.25

To find:

The equation and the cost of 25 downloaded digital songs.

Solution:

Let us take two points (1, 1.05) and (2, 2.10).

Here x_1=1, y_1=1.05, x_2=2, y_2=2.10

Slope:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{2.10-1.05}{2-1}

m = 1.05

Using point-slope formula:

y-y_1=m(x-x_1)

y-1.05=1.05(x-1)

y-1.05=1.05x-1.05

Add 1.05 on both sides, we get

y=1.05x

Here x is the independent variable and c is the dependent variable.

So that substitute x = n and y = c.

c=1.05n

The equation is c = 1.05 n.

Substitute n = 25 in the equation.

c=1.05(25)

c=26.25

The cost of 25 songs is $26.25.

8 0
4 years ago
Use absolute value to express the distance between -12 and -15 on the number line.
swat32

o 1-12 - (-15) = -3 is the right answer

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3 years ago
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