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3 years ago

Which pair of events are complementary? choosing a red card from a deck of cards?

1 answer:

7 0

You have not provided the options, therefore, I cannot provide an exact solution.
However, I will try to help you with the concept.

Complementary events are defined as events in which only two outcomes are possible.
There is no room for a third possibility.

Examples:
1- Flipping a coin:
In this case, you either get a head or a tail. Only two outcomes are possible. These are complementary events

2- Rolling a dice to either get a 1 or a number that is not 1:
In this case, you either get a 1 or you don't. Only two outcomes are possible. These are complementary events

Hope this helps :)

You might be interested in

What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?

Sati [7]

Answer-

The coordinates of the orthocenter of △JKL is (-4, 8)

Solution-

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.

Here we are given the three vertices of the triangle are J(-4,-1), K(-4,8) and L(2,8)

If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.

Applying distance formula we get,

$JK^2= (-4+4)^2+ (8+1)^2=0+81=81\\\\KL^2= (-4-2)^2+ (8-8)^2=36+0=36\\\\JL^2= (-4-2)^2+(8+1)^2=36+81=117$

As,

$\Rightarrow 117=81+36$

$\Rightarrow JL^2=JK^2+KL^2$

$\Rightarrow \text{JKL is a right angle triangle}$

$\Rightarrow \angle K=90^{\circ}$

Therefore, the vertex at K (-4, 8) is the orthocentre.

3 0

3 years ago

a rectangular window frame has demotions expressed by 3x and (2x -5). find a simplified expression for its perimeter and determi

Paul [167]

Answer: Simplified Equation (10x-10)

Answer if 3=x is 20

Step-by-step explanation:

the original side lengths are 3x and (2x-5) so multiply both those by 2.

Now you have 6x and 4x-10.

Now combine those and you have 10x-10.

Then plug in 3 for x

3 0

3 years ago

Factoring polynominaly

Aliun [14]

Answer:

Most of the question is missing. If you could type out the rest, we might be able to help you.

7 0

4 years ago

Maria bought some apples. She gave 3 apples to her friends. Write an algebraic expression that shows how many apples Maria has l

zavuch27 [327]

Answer:

x-3

Step-by-step explanation:

x-3 x because we don't know the number of apples she has so you put a letter then -3 because 3 apples are given away

8 0

4 years ago

A circle has diameter of 11cm

Gelneren [198K]

In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.
If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.
Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.
we observed that
9.89cm <11cm.
Therefore we show that:
the square will fit inside the circle without touching the edge of the circle

8 0

3 years ago