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Archy [21]
2 years ago
8

Choose the definition for the function.

Mathematics
1 answer:
kotegsom [21]2 years ago
7 0

The definition of the piecewise function in this problem is given by:

a.

  • y = x + 1, x ≤ 2.
  • y = x + 1, x > 2.

<h3>What is a piecewise function?</h3>

A piecewise function is a function that has different definitions, depending on the input.

For x until x = 2, we have a <u>linear function with an intercept of 1 and slope of 1</u>, hence the definition is:

y = x + 1, x ≤ 2.

After x = 2, the function is shifted up one unit, hence:

y = x + 1 + 1, x > 2

y = x + 2, x > 2.

Hence option A is correct.

More can be learned about piecewise functions at brainly.com/question/27262465

#SPJ1

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The situation is as follows: Smart phones have changed the world and how we spend our time. A group of researchers at BYU want t
Scilla [17]

Answer:

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

Step-by-step explanation:

Confidence interval normal

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.96}{2} = 0.02

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.02 = 0.98, so Z = 2.054.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.054\frac{54}{\sqrt{430}} = 5.35

The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes

The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

8 0
3 years ago
A ribbon is 40 inches long. We want to cut the ribbon into pieces. Each piece will be of an inch. How many pieces will we have?
mafiozo [28]

Answer:

40

Step-by-step explanation:

What we need here is to know how many of 1 inch are there in 40 inches

This is straightforward, what we need to do here is to imagine having to mark 1 inch length on the ribbon using a mark of a scissors.

What we will notice is that we need to make 40 marks to have exhausted the entire length of the ribbon.

This is obtained by dividing the total 40 by 1 which is 40

8 0
3 years ago
Add (-12x + 6) + (4x - 12).
yulyashka [42]

Step-by-step explanation:

it's obviously the equation is equals to zero,

-12x + 16 = 0

-12x = -16

-12. 12

like terms cancel each other to remaining with x

thus,

x = 4/3

<h2>AND</h2>

4x - 12 = 0

4x = 12

4. 4

like terms cancel each other to remaining (make x subject of the formula) with x

thus,

x = 3

6 0
2 years ago
Is my answer correct?
ziro4ka [17]
Here is the answer to the given problem above. 
Here is the exponential function to model this situation:
<span>f(x) = 420(0.79)x
Now, solve with the given values.
</span><span>P(t)=420×(.79<span>)^t</span></span> <span><span>P(5)=420×(.79<span>)^5</span>=129
So the answer would be 129 animals.
Hope this answer helps. Thanks for posting your question!</span></span>
6 0
3 years ago
Read 2 more answers
Subtract. express your answer in lowest terms 7,15-4,9
gayaneshka [121]
I'm not quite sure what your asking. Do you want us to subtract 15 - 4? That would be 11.
3 0
3 years ago
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