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rjkz [21]
4 years ago
10

In a raffle, 1,000 tickets are sold for $2 each. One ticket will be randomly selected and the winner will recieve a laptop compu

ter vauled at $1200. What is the expected value for a person that buys one ticket?
Mathematics
1 answer:
Kryger [21]4 years ago
7 0

Answer:

$ 1.2

Step-by-step explanation:

The first thing is to define the expected value of the ticket that would be the sum of the value for all event probabilities.

That is, if you buy 1 ticket, for each participant the probabilities are:

1. 1/1000 to get a $ 1,200 item

2. 999/1000 to get nothing ($ 0).

That is to say:

(1/1000) * $ 1200 + (999/1000) * $ 0 = (1/1000) * $ 1200 = $ 1.2

Therefore, the expected value is $ 1.2, this means that in reality each participant pays $ 0.8 more than the ticket is worth

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Which of the following is true of the discriminant for the graph below?
Sonbull [250]

Answer:

<u>Option C. It is zero</u>

Step-by-step explanation:

The graph represents a quadratic equation

The quadratic equation has the form ⇒a x² + b x + c

The discriminant of the quadratic equation is D = b² - 4ac

From the discriminant of the quadratic equation, we can know the type of roots of the quadratic equation.

  1. If D > 0 ⇒ Two real roots.
  2. If D = 0 ⇒ one real roots
  3. If D < 0 ⇒ Two imaginary roots.

The roots of the quadratic equation are the x-intercepts of the function.

As shown at the figure, the quadratic equation has only one point of intersection with the x-axis

So, the function has only one root ⇒ D = 0

So, the discriminant of the quadratic equation = 0

<u>The answer is option C. It is zero</u>

7 0
3 years ago
The coordinate bridge shows the cost of different numbers of bookmarks how many sense do for bookmarks cost.
pogonyaev

Answer:

54 cents

Step-by-step explanation:

The cost of bookmarks relating to the number of bookmarks is given by the graph shown. Therefore:

From the graph, we can determine the relationship between the cost of bookmarks and the number of bookmarks by using two points. The equation of a line passing through points (x_1,y_1)\ and\ (x_2,y_2) is:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\

From the graph, y represents the cost of bookmarks in cents and x represent the number of bookmarks. we can see that it passes through the point (2, 30) and (7, 90). Hence:

y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2) \\\\y-30=12x-24\\\\y=12x+6

The cost of 4 bookmarks (x = 4):

y = 12(4) + 6

y = 54 cents

7 0
3 years ago
Write the equation of the line that passes through the given lines (0,-2) and (4,1)
Gala2k [10]

Answer:

y = 3/4x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step 1: Define

(0, -2) y-intercept

(4, 1) random point

Step 2: Find slope <em>m</em>

<em />m=\frac{1-(-2)}{4-0}<em />

<em />m=\frac{1+2}{4}<em />

<em />m=\frac{3}{4}<em />

y = 3/4x + b

Step 3: Write linear equation

y = 3/4x - 2

7 0
3 years ago
Which expression is equivalent to x6 – 9?
Lorico [155]

Answer:

(x^{3})^{2} -3^{2}

Step-by-step explanation:

we have

x^{6}-9

we know that

x^{6}-9=(x^{3})^{2} -3^{2}

Applying difference of square

(x^{3})^{2} -3^{2}=(x^{3}+3)(x^{3}-3)

7 0
3 years ago
Read 2 more answers
How are the 4s related in 44,268
Ahat [919]
Well they are close to eachother and are both have a thousand. Such as the 1st 4 is 10 thousand but the 2nd 4 us in the thousands.
6 0
3 years ago
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