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vovangra [49]
3 years ago
15

What is the answer to this question

Mathematics
1 answer:
il63 [147K]3 years ago
6 0
The ratio of the shortest sides is 12/5. Multiplying the other two sides of the smaller triangle by that ratio gives 15 and 18, so the ratios of all sides are the same. The triangles are similar.

ABC ~ ZYX

The largest/smallest scale factor is 12/5 = 2.4.
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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:
melomori [17]

probability that the card drawn is:

  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
8 0
3 years ago
Read 2 more answers
Alex's dog weighs 5 pounds. About how
Rina8888 [55]

Answer:

2270 grams

Step-by-step explanation:

If the dog is 5 pounds and 1 pound=454 grams, do 454x5=2270

5 0
3 years ago
The population of a city is growing at an average rate of 3% per year in 1990 the population was 45 000.
Nonamiya [84]
This is an exponential growth/decay problem...

F=Ir^t, F=final value, I=initial value, r=rate, t=time, in this case:

F=I(1.03)^t  and they just want to know when F=2I so

2=1.03^t  take natural log of both sides...

ln2=t*ln1.03

t=ln2/(ln1.03)

t≈23.45

So it will take approximately 23.45 years for the population to double..

1990+23.45=2013.45

So during the year of 2013 the population will have double from its 1990 level.
5 0
3 years ago
In order to avoid staying after work, a quality control analyst inspects the first 100 items produced that day. Which sampling m
Elanso [62]
The sampling method used in the situation of the quality control analyst in his attempt to avoid staying after work would be a non-probability sampling method. He used a nonprobability sampling called convenience sampling wherein the person gets a sample for easy and convenient results.
7 0
3 years ago
Please help asap for brainlist
Salsk061 [2.6K]

Answer:

it's (2,-4)

hope it helps

5 0
3 years ago
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