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2 years ago

Find the value of x.

Mathematics

1 answer:

horsena [70]2 years ago

8 0

Step-by-step explanation:

Addition of all the information contained in this message

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If you draw a card with a value of 4 or less from a standard deck of cards, I will pay you 165$ if not your pay me $45. (Aces ar

jekas [21]

Answer: The required expected value is $3.46.

Step-by-step explanation:

Since we have given that

Number of value of 4 or less are

2,3,4

So, there are 12 in numbers.

So, probability would be

$\dfrac{12}{52}$

Since Aces are considered as the highest card in the deck.

So, remaining probability would be

$\dfrac{40}{12}$

Amount paid or value of 4 or less = $165

Amount not paid for other case = $45

So, the expected value would be

$\dfrac{12}{52}\times 165-\dfrac{40}{52}\times 45\\\\=\dfrac{1980}{52}-\dfrac{1800}{52}\\\\=\dfrac{180}{52}\\\\=3.46$

Hence, the required expected value is $3.46.

7 0

2 years ago

P what equation in slope-intercept form represents the line that passes through the points (3,5) and (-9,2)

ivanzaharov [21]

Answer:

$y =\frac{1}{5}x+\frac{22}{5}$

Step-by-step explanation:

To write the equation of a line, use the slope formula to first find the slope.

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{3--9}=\frac{3}{3+12}=\frac{3}{15}=\frac{1}{5}$

Substitute m=1/5 and the point (3,5) into point slope formula.

$y-y_1 = m(x-x_1)\\y-5=\frac{1}{5}(x-3)\\y-5=\frac{1}{5}x -\frac{3}{5}\\y =\frac{1}{5}x+\frac{22}{5}$

3 0

3 years ago

To eliminate the y terms, you can multiply the first equation by 5 and the second equation by what number?

gladu [14]

Step-by-step explanation:

the second equation should be multiplied by 9

6 0

2 years ago

What is the slope of the line that passes through the points (-2, 5) and (1, 4)

egoroff_w [7]

The slope of the line is delta y / delta x, so the answer is: -1/3.

7 0

3 years ago

which properties are present in a table that represents an exponential function in the form y=b^x when b>1

vladimir1956 [14]

Answer:

The function has the property of exponential growth function.

Step-by-step explanation:

The exponential function is given by $y = b^{x}$ , where b > 1.

Now, for x = 0, we get y = 1,

For x = 1, we get y = b

For, x = 2, we get y = b²

And so on.

Now, as b > 1, so, b² > b > 1 and the values of y are increasing as the value of x increases.

Therefore, the function has the property of exponential growth function.

3 0

3 years ago