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3 years ago

15

A card is drawn at random from a deck. what is the probability that it is an ace or a king?

1 answer:

hjlf3 years ago

6 0

There are 52 cards. Of this, there are 4 aces (one of each of the four suits) and 4 kings. There are 4+4 = 8 cards that are either an ace or a king (but not both). Note that the events "drawing an ace" and "drawing a king" are mutually exclusive. Being mutually exclusive means its impossible to have both events occur simultaneously for any single card.

So there are 8 cards we want (ace or king) out of 52 total

Dividing the two values, and reducing fully, gives:
8/52 = (4*2)/(4*13) = 2/13

The final answer as a fraction is 2/13

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Identify the segment bisector of XY.

Ganezh [65]

Given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:

Segment bisector of XY = line n
Length of XY = 6

<em><u>Recall:</u></em>

A line that divides a segment into two equal parts is referred to as segment bisector.

In the diagram attached below, line n divides XY into XM and MY.

Thus, the segment bisector of XY is: line n.

<em><u>Find the value of x:</u></em>

XM = MY (congruent segments)

Substitute

$5x + 8 = 9x + 12$

Collect like terms and solve for x

$5x + 8 = 9x + 12\\5x - 9x = -8 + 12\\\\-4x = 4\\\\x = -1$

XY = XM + MY

$XY = 5x + 8 + 9x + 12$

Plug in the value of x

$XY = 5(-1) + 8 + 9(-1) + 12\\\\XY = -5 + 8 -9 + 12\\\\\mathbf{XY = 6}$

Therefore, given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:

Segment bisector of XY = line n
Length of XY = 6

Learn more here:

brainly.com/question/19497953

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2 years ago

Nanu borrowed a certain sum at the rate of 10 % p.a. If she paid compound interest Rs. 1,290 at the end of two years compounded

Leokris [45]

Answer:

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2 years ago

A small cylindrical has a diameter of 18mm and a height 12mm. Determine the minimum surface area of a box that can hold a row of

dimaraw [331]

Answer:

The surface are of a box = 1186.92 mm²

Step-by-step explanation:

Given in question as :

Diameter of cylinder = 18 mm

The height of cylinder = 12 mm

The surface area of cylinder = ( 2× $\pi$ ×r×h) + (2× $\pi$ ×r²)

where R is the radius , R = $\frac{Diameter}{2}$ = $\frac{18}{2}$

Or Radius r = 9 mm

Or, The surface area of cylinder= ( 2× $\pi$ ×9×12) + 2× $\pi$ ×(9)²)

Or , The surface area of cylinder=(678.24) + (508.68)

Or ,The surface area of cylinder= 1186.92 mm²

Hence the surface are of a box = 1186.92 mm² Answer

5 0

3 years ago

Abbey purchased a house using a fixed rate mortgage. The annual interest rate is 4.2% compounded monthly for 20 years. The mortg

Butoxors [25]

I GOT $9870.

4.2 % OF $235,000 IS $9870.

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3 years ago

What is 128.34 as a mixed number in similest form

telo118 [61]

128.34 = 12817/50 :)

hope it helps

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3 years ago