Which descriptions match the given transformations?<br><br> Drag and drop the answer into the boxes.

Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with

worty [1.4K]

Answer:

$z$

Step-by-step explanation:

Assuming this complete question:

"Suppose a certain species of fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean $\mu =26$ kilograms and standard deviation $\sigma=4.2$ kilograms. Let x be the weight of a fawn in kilograms. Convert the following z interval to a x interval.

$X$ "

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 weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(26,4.2)$

Where $\mu=26$ and $\sigma=4.2$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

We know that the Z scale and the normal distribution are equivalent since the Z scales is a linear transformation of the normal distribution.

We can convert the corresponding z score for x=42.6 like this:

$z=\frac{42.6-26}{4.2}=3.95$

So then the corresponding z scale would be:

$z$

7 0

2 years ago

If a circle has a radius length of 2x units, what is the circle's circumference?

Brut [27]

Answer: 12.56

Step-by-step explanation:

If I remember correctly, the equation for circumference is C=2r*pi (R representing radius). For this problem, if 2 is your radius 2R would equal 4. Take this number and multiply it by 3.14 (pi) to get your final answer.

4 0

2 years ago

How does a digit in the ten thousands place compare to a digit in the thousands place?

andre [41]

Um I think it's like because there's a zero difference like ten thousands have more zeros

3 0

2 years ago

Complete the recursive formula of the arithmetic sequence -16, -33, -50, -67,...−16,−33,−50,−67,...

Nonamiya [84]

Answer:u

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find the inverse f^-1(x) if f(x)=x+2

stiks02 [169]

Answer:

f^-1(x) = x - 2

Step-by-step explanation:

To find the inverse of a function in terms of x and y, you would sway x and y in the function. We can rewrite f(x) = x + 2 as y = x + 2, since f(x) is basically y in a function. The inverse of y = x + 2 would be x = y + 2. Now, solve for y.

x = y + 2

-2 both sides.

x - 2 = y

y = x - 2

The inverse of y = x + 2 would be y = x - 2, so the inverse of f(x) = x + 2 would be f^-1(x) = x - 2 (f^-1(x) means the inverse of f(x)).

f^-1(x) = x - 2

I hope you find this helpful. :)

3 0

3 years ago

Which descriptions match the given transformations? Drag and drop the answer into the boxes.