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Drupady [299]
3 years ago
7

Consider a system of equations formed by a line and a parabola. How many solutions are possible? Sketch a graph to show each pos

sibility.

Mathematics
1 answer:
anygoal [31]3 years ago
6 0
The answer of AL2006 in the comments section is correct. I would just show the sketch and elaborate the situations in which there are 0, 1 and 2 solutions.

A parabola is characterized by a function that looks like an arc when graphed. Thus, it always passes twice on either the x-axis or the y-axis. The parabola in the picture is the one in red. Now, when you draw a diagonal line like that shown in blue, you intersect the parabola twice. Thus, you have two solutions. If you draw a diagonal line that is tangent to the parabola, you have a one solution. A tangent line is a line that intersects with a parabola at one single point only, as that shown in purple. Lastly, if you draw a horizontal or vertical line that is not part of the domain or range of the parabola, you don't have any solution for the system because it will never intersect (shown in green).

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The number of siblings an individual has varies from student to student. The distribution of the number of siblings is strongly
ivanzaharov [21]

Answer:

(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

By the Central Limit Theorem

The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.

7 0
3 years ago
12 points help fast I need help
dimaraw [331]

Answer:

  • False, False, True, True

Step-by-step explanation:

1

  • IQR's
  • Ride A: 30 - 20 = 10
  • Ride B: 30 - 10 = 20
  • False, as 10 < 20

2

  • Medians
  • Ride A: 25
  • Ride B: 20
  • False, as 25 > 20

3

  • Ranges
  • Ride A: 45 - 5 = 40
  • Ride B: 35 - 0 = 35
  • TRUE, as 40 > 35

4

  • Minimum
  • Ride A: 5
  • Ride B: 0
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4 0
3 years ago
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Mary is converting 30 yards per hour into feet per hour. Which conversion factor should she use?
Sever21 [200]
It would be number 3.
5 0
3 years ago
You can represent and odd integer with the expression 2n + 1, where n is any integer. write and solace and equation to find thre
Wittaler [7]

As consecutive odd numbers differ by two (example: 3, 5, 7), the first odd number can be expressed as 2n + 1, the next can be found by adding two to the first to get 2n + 1 + 2 which simplifies to 2n + 3. Finally the expression for the third consecutive odd integer can be found by adding two to the previous, 2n + 3, to get 2n + 5.  Adding these three together and setting them equal to your sum gets the equation

 2n + 1 + 2n + 3 + 2n + 5 = 63

 Combine like terms and solve For n.

Once you have n, you must substitute it back into your three expressions (2n + 1, 2n + 3, 2n + 5) to find the three odd integers.  

 

Hope this helps :)

7 0
3 years ago
The dragonfly is the fastest flying insect it can move at a speed of about 50 feet per second find the approximate time for a dr
drek231 [11]

Answer:

8 seconds

Step-by-step explanation:

400 divided by 50 is 8

8 0
3 years ago
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