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Anni [7]
2 years ago
8

Please help me answerrr

Mathematics
2 answers:
steposvetlana [31]2 years ago
6 0
<h3><u>Explanation</u></h3>
  • Determine Function or Not Function by Graph.

We can simply find if a graph is a function or not by doing the line test.

<u>Line</u><u> </u><u>Test</u><u> </u><u>on</u><u> </u><u>Graph</u>

  1. Draw a vertical line on a graph.
  2. See if a vertical line intercepts one or more points on the graph.

If the line intercepts only one point, that means the graph is a function.

If the line intercepts more than one point, it is not a function but rather a relation.

<u>Example</u><u> </u><u>of</u><u> </u><u>graphs</u><u> </u><u>that</u><u> </u><u>are</u><u> </u><u>not</u><u> </u><u>functions</u>

  • Circle Graph
  • Any graphs that have more than one y-value for a single x-value. (Example x = 2 but x has more than one y value which is not a function.)

<u>Example</u><u> </u><u>of</u><u> </u><u>graphs</u><u> </u><u>that</u><u> </u><u>are</u><u> </u><u>functions</u>

  • Any graphs that have "function" name. (Ex Linear Function)
  • Graphs that have one x and one y value.

If you have any questions, you can comment.

Mrac [35]2 years ago
4 0

Answer:

Vertical Line test

Step-by-step explanation:

If you can put a vertical line anywhere on the graph, and it doesn't touch more than one point, then it's a function. A function means there are no repeated x values.

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On the rectangular coordinate system, what is the shortest distance between points (−4, 3) and (−2, −1)?
pogonyaev
Shortest Distance = \sqrt{ (-4+2)^{2} + (3+1)^{2} }
Shortest Distance = \sqrt{ (-2)^{2} + (4)^{2} }
Shortest Distance = \sqrt{20}
Shortest Distance = 4.47 units
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2 years ago
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Angle 3 is 78 degrees. same as angle 5.
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Find the equation of the line specified. The line passes through the points ( 5, 2) and ( 6, 4) a. y = 2x - 8 c. y = 2x + 12 b.
o-na [289]
<span>( 5, 2) and ( 6, 4)
slope m = (4-2)/(6-5) = 2

y = mx + b
b = y - mx
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b = -8

so now you have slope m = 2 and y intercept b = -8

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2 years ago
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A small regional carrier accepted 19 reservations for a particular flight with 17 seats. 14 reservations went to regular custome
Ludmilka [50]

Answer:

(a) The probability of overbooking is 0.2135.

(b) The probability that the flight has empty seats is 0.4625.

Step-by-step explanation:

Let the random variable <em>X</em> represent the number of passengers showing up for the flight.

It is provided that a small regional carrier accepted 19 reservations for a particular flight with 17 seats.

Of the 17 seats, 14 reservations went to regular customers who will arrive for the flight.

Number of reservations = 19

Regular customers = 14

Seats available = 17 - 14 = 3

Remaining reservations, n = 19 - 14 = 5

P (A remaining passenger will arrive), <em>p</em> = 0.52

The random variable <em>X</em> thus follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.52.

(1)

Compute the probability of overbooking  as follows:

P (Overbooking occurs) = P(More than 3 shows up for the flight)

                                        =P(X>3)\\\\={5\choose 4}(0.52)^{4}(1-0.52)^{5-4}+{5\choose 5}(0.52)^{5}(1-0.52)^{5-5}\\\\=0.175478784+0.0380204032\\\\=0.2134991872\\\\\approx 0.2135

Thus, the probability of overbooking is 0.2135.

(2)

Compute the probability that the flight has empty seats as follows:

P (The flight has empty seats) = P (Less than 3 shows up for the flight)

=P(X

Thus, the probability that the flight has empty seats is 0.4625.

4 0
3 years ago
Homework help, no need to explain answer
Ainat [17]

Answer:

Square each side

Subtract 1  from each side

Divide by 3

Step-by-step explanation:

sqrt(3x+1) = 4

Square each side

(sqrt(3x+1))^2 = 4^2

3x+1 = 16

Subtract 1  from each side

3x+1-1 = 16-1

3x= 15

Divide by 3

3x/3 = 15/3

x = 5

8 0
3 years ago
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