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3 years ago

Choose a college student at random. Decide whether each of the following is a discrete or continuous random variable:

Mathematics

1 answer:

EleoNora [17]3 years ago

5 0

Answer:

1. Discrete

2. Continuous

3. Continuous

4. Discrete

5. Continuous

6. Discrete

Step-by-step explanation:

Continuous:

Real numbers, can be integer, decimal, etc.

Discrete:

Only integer(countable values). So can be 0,1,2...

1. The number of courses the student takes this semester:

You can take 1 course, 2 courses, 3 courses, ...

Only countable values, the student cannot take 2.5 courses, for example. So discrete

2. The student's height:

Can be decimal numbers, for example, 1.8 meters. So continuous.

3. The student's (exact) body temperature:

Can be decimal numbers, for example, 96.7 ºF. Continuous.

4. The number of siblings the student has:

Cannot be decimal.

You can have 0, 1, 2, ..., 20,... siblings

Discrete

5. The (exact) time the student spends doing school work during a week:

Can be decimal, for example, 2.5 hours.

Continuous

6. The number of alcoholic beverages that the student drinks in a typical week

Zero, one, two,...

Discrete

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4 years ago

The equation y = \large 1\frac{1}{2}x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Deter

Natasha2012 [34]

Answer:

$(1\frac{1}{2},1)$ - False

$(4,6)$ - True

$(18,12)$ -- False

$(0,0)$ -- True

$(2\frac{1}{2},3\frac{3}{4})$ -- True

Step-by-step explanation:

The points are

$(1\frac{1}{2},1)$ , $(4,6)$ , $(18,12)$ , $(0,0)$ and $(2\frac{1}{2},3\frac{3}{4})$ ---- missing from the question

Given

$y = 1\frac{1}{2}x$

Required

Determine if each of the points would be on $y = 1\frac{1}{2}x$

To do this, we simply substitute the value of x and of each point in $y = 1\frac{1}{2}x$ .

(a) $(1\frac{1}{2},1)$

In this case;

$x = 1\frac{1}{2}$ and $y = 1$

$y = 1\frac{1}{2}x$ becomes

$y = 1\frac{1}{2} * 1\frac{1}{2}$

$y = \frac{3}{2} * \frac{3}{2}$

$y = \frac{9}{4}$

$y = 2\frac{1}{4}$

The point $(1\frac{1}{2},1)$ won't be on the graph because the corresponding value of y for $x = 1\frac{1}{2}$ is $y = 2\frac{1}{4}$

(b) $(4,6)$

In this case;

$x = 4$

$y = 6$

$y = 1\frac{1}{2}x$ becomes

$y = 1\frac{1}{2} * 4$

$y = \frac{3}{2} * 4$

$y = \frac{3* 4}{2}$

$y = \frac{12}{2}$

$y = 6$

The point $(4,6)$ would be on the graph because the corresponding value of y for $x = 4$ is $y = 6$

(c) $(18,12)$

In this case:

$x = 18;y = 12$

$y = 1\frac{1}{2}x$ becomes

$y = 1\frac{1}{2} * 18$

$y = \frac{3}{2} * 18$

$y = \frac{3* 18}{2}$

$y = \frac{54}{2}$

$y = 27$

The point $(18,12)$ wouldn't be on the graph because the corresponding value of y for $x = 18$ is $y = 12$

(d) $(0,0)$

In this case;

$x =0; y = 0$

$y = 1\frac{1}{2}x$ becomes

$y = 1\frac{1}{2} * 0$

$y = 0$

The point $(0,0)$ would be on the graph because the corresponding value of y for $x = 0$ is $y = 0$

(e) $(2\frac{1}{2},3\frac{3}{4})$

In this case:

$x = 2\frac{1}{2}$ ; $y = 3\frac{3}{4}$

$y = 1\frac{1}{2}x$ becomes

$y = 1\frac{1}{2} * 2\frac{1}{2}$

$y = \frac{3}{2} * \frac{5}{2}$

$y = \frac{15}{4}$

$y = 3\frac{3}{4}$

The point $(2\frac{1}{2},3\frac{3}{4})$ would be on the graph because the corresponding value of y for $x = 2\frac{1}{2}$ is $y = 3\frac{3}{4}$

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MakcuM [25]

Answer:

x = 6

Step-by-step explanation:

f(x) = 2(x + 4)

Let f(x) =20

20 = 2(x + 4)

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10 = x+4

Subtract 4 from each side

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4 years ago

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Alex777 [14]

<h3>Answer: 3/5</h3>

Explanation:

P(B/A) is the shorthand way of saying "what is P(B) if we are 100% certain that event A has occured?"

Because events A and B are independent, they do not affect one another. The fact that A happens doesn't change P(B) at all.

Therefore, P(B) = P(B/A) when A & B are independent events.

Similarly, P(A) = P(A/B) when the two events are independent.

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3 years ago

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liubo4ka [24]

Answer:

210

Step-by-step explanation:

Formula I made up: (Don't copy it please) (x-1 + x-2 + x-3... until x-(x-1)

Add all answers possible. (4 true and falses with 2 different answers each.) (3 multiple choice with 4 possible outcomes.)

4 x 2 = 8 | 3 x 4 = 12 |

\ /

8 + 12 = 20

Do what I like to call Additional factorial. (it's a little different, so follow the formula above.)

x = 20

20 -1 + 20 - 2... 20-(20-1) = 210

19 + 18... + 1 = 210

Compare my answer to others if you get any because I am just in 8th grade and I am a nerd at math and I love it. Because I am in 8th grade, I have a slight possibility for being wrong. Enjoy the answer and thanks for letting me use my skills for the world. :)

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3 years ago