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3 years ago

How many different situations arise when five coins are thrown into the air?

Mathematics

1 answer:

svet-max [94.6K]3 years ago

4 0

Each coin will either land as a head or a tail. - 2 possible results.
for 5 coins its 2*2*2*2*2 = 32 different results.

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Omg please help idek

Nataly [62]

I believe The exact form is 2/45, while the decimal form would be 0.4 continuous

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2 years ago

Find the coordinates of the midpoint of line segment lb if l (8, 5) and b (-6, 2).

jeyben [28]

Answer:

The coordinates of the midpoint of the segment is (1,3.5)

Step-by-step explanation:

In this question, we are concerned with finding the coordinates of the mid point of the line that joins segment lb

To do this, we shall be using the midpoint formula;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

Where (x1,y1) = (8,5)

(x2,y2) = (-6,2)

Thus;

(x, y) = (8 + (-6))/2, (5 + 2)/2

(x ,y) = (2/2), (7/2)

(x,y) = (1,3.5)

3 0

3 years ago

Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}

kompoz [17]

Answer:

The ordered pair $(-2,\, -4)$ is indeed a solution to the system:

$\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right.$ .

Step-by-step explanation:

Consider a system of equations about variables $x$ and $y$ . An ordered pair $(x_{0},\, y_{0})$ (where $x_{0}$ and $y_{0}$ are constant) is a solution to that system if and only if all equations in that system hold after substituting in $x = x_{0}$ and $y = y_{0}$ .

For the system in this question, $(-2,\, -4)$ would be a solution only if both equations in the system hold after replacing all $x$ in equations of the system with $(-2)$ and all $y$ with $(-4)$ .

The $\texttt{LHS}$ of the equation $y = (1/2)\, x - 3$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(1/2) \, (-2) - 3$ . The two sides are indeed equal.

Similarly, the $\texttt{LHS}$ of the equation $y = -2\, x - 8$ would become $(-4)$ . The $\texttt{RHS}$ of that equation would become $(-2)\, (-2) - 8$ . The two sides are indeed equal.

Thus, $x = (-2)$ and $y = (-4)$ simultaneously satisfy both equations of the given system. Therefore, the ordered pair $(-2,\, -4)$ would indeed be a solution to that system.

8 0

2 years ago

The graph shows how the length of a buildings shadow at a certain time of day is related to the height of the building.

Artyom0805 [142]

A. the graph represents a relation because it contains ordered pairs (x,y). It is also a function because there are no repeating x values.

B. (0,0) (8,6)
slope = (6 - 0 ) / (8 - 0) = 6/8 = 3/4
so ur equation is : y = 3/4x or f(x) = 3/4x <===

C. the variable x represents the height of the building and the variable y (or f(x)) represents the total length of the shadow

3 0

2 years ago

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What to know for geometry flvs module 3 DBA?

pishuonlain [190]

Essentially look at your formula sheets, Take notes on your assessment questions and you should be fine.

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3 years ago