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VladimirAG [237]

2 years ago

13

Consider the following data: x −4−4 −3−3 −2−2 −1−1 00 P(X=x)P(X=x) 0.20.2 0.30.3 0.10.1 0.20.2 0.20.2 Copy Data Step 4 of 5 : Fi

nd the value of P(X≥−1)P(X≥−1). Round your answer to one decimal place.

1 answer:

AysviL [449]2 years ago

4 0

Answer:

$P(x\geq -1) = 0.4$

Step-by-step explanation:

We are given the following in the question:

x: −4 −3 −2 −1 0

P(X=x): 0.2 0.3 0.1 0.2 0.2

We have to evaluate

$P(x\geq -1)$

Since it is a discrete probability distribution as

$\displaystyle\sum P(X=x_i) = 0.2 + 0.3 + 0.1 + 0.2 + 0.2 = 1$

We can evaluate the probability as:

$P(x\geq -1) = P(x = -1 + P(x = 0)\\P(x\geq -1) = 0.2 + 0.2\\P(x\geq -1) = 0.4$

Thus, 0.4 is the require probability.

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?

lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ( $k$ ) is described by the following expression:

$k = \frac{y}{x}$ (1)

Where:

$x$ - Input.

$y$ - Output.

If we know that $(x_{1}, y_{1}) = (13, 45.5)$ , $(x_{2}, y_{2}) = (14, 49)$ and $(x_{3}, y_{3}) = (15, 52.5)$ , then the constants of proportionalities of each ordered pair are, respectively:

$k_{1} = \frac{y_{1}}{x_{1}}$

$k_{1} = \frac{45.5}{13}$

$k_{1} = \frac{7}{2}$

$k_{2} = \frac{y_2}{x_2}$

$k_{2} = \frac{49}{14}$

$k_{2} = \frac{7}{2}$

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2 years ago

Explain how to determine which numbers must be excluded from the domain of a rational expression. Please provide an example with

Katarina [22]

Answer:

When we are having a rational expression i.e. a expression of the type:

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Now the domain of this rational function will be whole of the real line minus the points where the denominator is zero.

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