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3 years ago

What is the sample space for the suits of a standard 52-card deck of cards?

1 answer:

8 0

Mark Brainliest please

All the possible outcomes of an experiment.

Example: choosing a card from a deck
There are 52 cards in a deck (not including Jokers)

So the Sample Space is all 52 possible cards: {Ace of Hearts, 2 of Hearts, etc... }

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In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates unit

MAXImum [283]

Given:

The vertices of a right triangle are:

$(-3,4),(3,4),(3,-4)$

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are $A(-3,4),B(3,4),C(3,-4)$ .

The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(3-(-3))^2+(4-4)^2}$

$AB=\sqrt{(3+3)^2+(0)^2}$

$AB=\sqrt{(6)^2+0}$

$AB=\sqrt{36}$

$AB=6$

Similarly,

$BC=\sqrt{(3-3)^2+(-4-4)^2}$

$BC=\sqrt{(0)^2+(-8)^2}$

$BC=\sqrt{64}$

$BC=8$

And,

$AC=\sqrt{(3-(-3))^2+(-4-4)^2}$

$AC=\sqrt{(6)^2+(-8)^2}$

$AC=\sqrt{36+64}$

$AC=\sqrt{100}$

$AC=10$

Now, taking sum of squares of two smaller sides, we get

$AB^2+BC^2=6^2+8^2$

$AB^2+BC^2=36+64$

$AB^2+BC^2=100$

$AB^2+BC^2=AC^2$

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

6 0

3 years ago

A line that passes through the origin also passes through the point (6,2). What is the slope of the line?

vagabundo [1.1K]

Answer:

slope=1/3

Step-by-step explanation:

y=mx+b

2=m*6+0

m=1/3

7 0

3 years ago

If 5 woodchucks could chuck 50 cords of

12345 [234]

Answer:

14 Wood

Step-by-step explanation:

50/5 = 10 Wood = 4 days

70/5 = 14 Wood = 6 Days

I hope this is correct!

3 0

2 years ago

If 2 divided by 2 is 1 what is 1 divided by 1?

Kaylis [27]

Answer:

Step-by-step explanation:

1 goes into 1 one time so it = 1

3 0

3 years ago

Read 2 more answers

Ready

ki77a [65]

Answer:

Step-by-step explanation:

I think it is a strangely worded question as they only refer to the larger gear turning.

I believe that this is what they are going for.

Number of teeth passing in each revolution

The Numbers match when the large gear turns two times as the smaller gear turns three times.

3 0

3 years ago