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Archy [21]
1 year ago
8

Choose the definition for the function.

Mathematics
1 answer:
kotegsom [21]1 year 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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A survey among students at a certain university revealed that the number of hours spent studying the week before final exams was
Rainbow [258]

Answer:

P(25

And we can find this probability with this difference:

P(0

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(0

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 hous spent studying the week before final exams of a population, and for this case we know the distribution for X is given by:

X \sim N(25,6)  

Where \mu=25 and \sigma=6

We are interested on this probability

P(25

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}

If we apply this formula to our probability we got this:

P(25

And we can find this probability with this difference:

P(0

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(0

6 0
2 years ago
What's the value of X in the figure<br><br><br>145 (degrees) X (2x + 15)
MakcuM [25]

Answer:

answer

2x + 15 = 145

2x = 145 - 15

2x = 130

x =  \frac{130}{2}

x = 65 {}^{}

Step-by-step explanation:

hope this helps you!!!

#ITSCHOCOLOVER

5 0
1 year ago
Read 2 more answers
What is bigger 24 fl. Oz. Or 8 cups?
Rudik [331]

Answer:

8 Cups.

Step-by-step explanation:

8 Cups is 64 Fl Oz, while 24 Fl Oz is only 3 cups.

3 0
3 years ago
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Tell whether the angles are complementary or supplementary. Then find the value of x
luda_lava [24]

Answer:

Complementary, x=78

Step-by-step explanation:

90= (x-8)+20

complementary angles add up to 90 degrees.

3 0
2 years ago
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A rectangular enclosure is to be created using 82m rope.
atroni [7]
Let
x-----> the length of rectangle
y-----> the width of rectangle

we know that 
perimeter of rectangle=2*[x+y]
perimeter of rectangle=82 m
82=2*[x+y]---> divide by 2 both sides---> 41=x+y--> y=41-x---> equation 1

Area of rectangle=x*y
substitute equation 1 in the area formula
Area=x*[41-x]----> 41x-x²

using a graph tool
see the attached figure

the vertex is the point (20.5,420.25)
that means
 for x=20.5 m ( length of rectangle)
the area is 420.25 m²

y=420.25/20.5----> 20.5 m

the dimensions are
20.5 m x 20.5 m------> is a square

the answer part 1) 
<span>the dimensions of the rectangular with Maximum area is a square with length side 20.5 meters
</span>
Part 2)<span>b) Suppose 41 barriers each 2m long, are used instead. Can the same area be enclosed?
</span>divide the length side of the square by 2
so
20.5/2=10.25--------> 10 barriers
the dimensions are 10 barriers x 10 barriers
10 barriers=10*2---> 20 m

the area enclosed with barriers is =20*20----> 400 m²

400 m² < 420.25 m²
so

the answer Part 2) is 
<span>the area enclosed by the barriers is less than the area enclosed by the rope
</span>
Part 3)<span>How much more area can be enclosed if the rope is used instead of the barriers
</span>
area using the rope=420.25 m²
area using the barriers=400 m²

420.25-400=20.25 m²

the answer part 3) is
20.25 m²

6 0
3 years ago
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