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Use the function below to find F(2).<br> F(t) = 2•1/2^3t

navik [9.2K]

Answer:

$F(2)= \frac{1}{32}$

Step-by-step explanation:

The given function is

$F(t) = 2 \cdot \: \frac{1}{{2}^{3t} }$

To find F(2), we substitute t=2 into the function.

This means that wherever we see t, we put 2

$F(2) = 2 \cdot \: \frac{1}{{2}^{3 \times 2} }$

We multiply the exponent in the denominator to get:

$F(2) = 2 \cdot \: \frac{1}{{2}^{6} }$

We evaluate to get:

$F(2) = 2 \cdot \: \frac{1}{64}$

We now cancel the common factors to get:

$F(2) = \frac{1}{32}$

6 0

3 years ago

The opposite process rule says to solve for ________. a known variable by replicating the process used to form the original equa

ioda

Answer:

An unknown variable by reversing the process used to form the original equation.

Step-by-step explanation:

The opposite process rule says to solve for - an unknown variable by reversing the process used to form the original equation.

If an equation indicates an operation such as addition, subtraction, multiplication, or division, solve for the unknown variable by using the opposite process.

For example:

Lets say we have to find $x+25=35$

Here 25 is subtracted from both sides of the equation to isolate x.

$x+25-25=35-25$

we get x = 10

Check this : $10+25=35$

4 0

3 years ago

A farmer Has 900 yards of fencing to enclose a rectangular pasture for her goats. Since one side of the pasture borders a river,

horsena [70]

Answer:

Length, l=450 yards

Width, b=225 yards

Step-by-step explanation:

Let the long side be x and since the length is twice the width, then the width is half of that length hence 0.5x. Since we only have three parts to fence as one long side doesn't require fencing, then the perimeter will be given by x+0.5x+0.5x=2x=900 yards

X=900/2=450 yards for long side.

The short side is 0.5x hence 0.5*450=225 yards

In conclusion, the long side is 450 yards while short side is 225 yards.

7 0

3 years ago

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

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

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

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

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

8 0

3 years ago

Compare the integers -13 and 15

agasfer [191]

-13is negative and is 13 spaces away from 0. 15 is positive and is 15 spaces away from 0.

6 0

3 years ago