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Leya [2.2K]
2 years ago
13

The base of a parallelogram with area 154.5 cm² and height 15 cm is

Mathematics
1 answer:
Iteru [2.4K]2 years ago
8 0

Answer:

  • ▶ (c) <u>10.3</u> cm

Step-by-step explanation:

\space

A = b × h

=> 154.5 = b × 15

=> b = \sf{\frac{154.5}{15} }

=> 10.3 cm

\space

Hope it helps!

<u>Have</u><u> </u><u>a</u><u> </u><u>great</u><u> </u><u>day</u><u>!</u><u> </u>:)

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A card is drawn at random from a deck of 52 playing cards. Find the probability that the card drawn is:
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  1. an ace or a king  = 0.1538
  2. a king or a diamond = 0.3269

<u>Step-by-step explanation:</u>

Here we have , A card is drawn at random from a deck of 52 playing cards. We need to find that Find the probability that the card drawn is:

  • an ace or a king

A deck of standard 52 cards contain four aces. There are four kings in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{8}{52}

⇒ probability = 0.1538

  • a king or a diamond

A deck of standard 52 cards contain four kings. There are 13 Diamonds in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.

probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{Number-of-(ace+king)-cards}{total-number-of-cards}

⇒ probability = \frac{(13+4=17)}{52}

⇒ probability = \frac{(17)}{52}

⇒ probability =0.3269

Therefore, probability that the card drawn is:

  1. an ace or a king  = 0.1538
  2. a king or a diamond = 0.3269
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3 years ago
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