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nignag [31]
3 years ago
14

An experiment consists of rolling a die, flipping a coin, and spinning a spinner divided into 7 equal regions. The number of ele

ments in the sample space of this experiment is
84

3

15

9
Mathematics
1 answer:
oee [108]3 years ago
5 0

Answer:

Option A.

<em>The number of elements in the sample space of this experiment is 84</em>

Step-by-step explanation:

The sample space for an experiment represents the number of possible results that may occur when conducting the experiment.

When throwing a die and observe the number obtained there are 6 possible results

When throwing a coin there are 2 possible results.

When spinning a wheel divided into 7 regions we have 7 possible outcomes.

If we combine these three experiments, then the sample space S is composed of the product of the possible results of each experiment.

S = (6)(2)(7)\\\\S =84

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Graph the system of linear inequalities, please explain the process in solving this problem so I know how to do ones similar to
astra-53 [7]

Answer:

See attached. (Both inequalities graph to the same region.)

Step-by-step explanation:

To graph an inequality, you first replace the inequality symbol by an equal sign. Then you graph the line (or curve) described by the equation. If the inequality symbol includes the "or equal to" case, then the line (or curve) is solid and is part of the solution set. If not, then the line (or curve) is dashed and is <em>not part of the solution set</em>.

Here, the line x+y=5, will bound the solution set, but is not part of it.

Note that the line -x -y = -5 (from the second inequality) is the same ilne.

_____

After you have graphed the boundary of the solution region, you need to determine which side of the boundary has the solutions. I find it easy to do this by locating an x- or y-term with a positive coefficient and seeing which side of the inequality symbol that lies on. Here, both the x-term and the y-term lie on the "is greater than" side of the symbol, so the half-plane is shaded above and to the right of the line, where x- and y-values are greater than they are on the line.

In the second inequality, you can multiply the whole thing by -1 to get

... x + y > 5 . . . . same as the first inequality

or you can add (x+y) to both sides to get

... 0 < -5 +x +y

Once again, the x- and y-values that satisfy this are greater than those that are on the boundary line.

_____

The graph seems to show only one equation. Both are there, but the dashed blue line sits on top of the dashed red line, so you can't see it. The purple shading indicates both red and blue shading in the same area.

===== =====

Of course you graph the boundary line the way you would any linear equation. In this form, it is not too difficult to see that both the x- and y-intercepts are 5. (When x=0, y=5; and when y=0, x=5 for the boundary line's equation x+y=5.) Draw the dotted line through these intercept points, add shading above, and you have your graph.

6 0
3 years ago
The graph of f(x)=x^2 is sketched in red and the graph of g(x) is sketched in blue. Use the translation rule and f(x)=x^2 to ide
Yuki888 [10]
We can use the vertex form of a quadratic, y = a(x-h)^{2} + k, to find that g(x) = a x^{2} - 7. Plugging (x,y) ordered pairs into g(x), we see that a = 1. For example, for (3, 2), 2 =  a * 3^{2} - 7. Solving for a gives 1.
3 0
3 years ago
If a circle has a Diameter of 4m and a Radius of 4 units. Then what is Circumference and Area of the circle?
Fiesta28 [93]

Answer & Step-by-step explanation:

Circumference=d\pi \\Area=r^2\pi

The diameter of the circle is 8 m and the radius of the circle is 4 units. So, now we have to plug in the numbers so we can find the circumference and the area of the circle.

Circumference=(8)\pi

Circumference=25.12

So, the circumference of the circle is 25.12 m.

Area=(4)^2\pi

Area=16\pi

Area=50.24

So, the area of the circle is 50.24 units².

3 0
3 years ago
Hey why is no one answering my questions, I really need help on something and people are just typing random things and I’m just
ziro4ka [17]

Answer:

what are the questions ?

Step-by-step explanation:

8 0
3 years ago
What number am I?
Rudik [331]

Answer:

Step-by-step explanation:

The first digit is 9

the 2nd one from the right = 2

So far what you have is

911, 121

941,121

There seems to be a second 4 implied. What is it? I'll edit if you get it to me in the next hour.

6 0
3 years ago
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