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slega [8]
2 years ago
8

Pls anwers pls friend fast pls

Mathematics
1 answer:
Natalija [7]2 years ago
7 0

Answer:

(b) (a) (d) (a) (c)

Step-by-step explanation:

(i) The probability of an even card is 1/2 because the number of even cards and odd cards are the same so there is a 50% of getting an even card. (b)

(ii) Since the card is replaced, there is still a card for all numbers between 1-20. There are 8 prime numbers and 20 cards so the probability of getting a prime number is 8/20 or 4/10 or 2/5. (a)

(iii) The card was not replaced so there are only 19 cards and there are only 5 numbers that are multiples of 3 and greater than 4. The probability must be 5/19. (d)

(iv) A sure event means that it will happen 100%. So P(A) = 1 since the number one represents 100%. (a)

(v) All cards have replaced and there is only one number that is a multiple of 3 and 5 which is 15. 1 card out of 20 is a desired outcome so 1/20 is the probability. (c)

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Answer: After 16 seconds the boats will be traveling the same speed.

Step-by-step explanation:

Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.

Mike's spewed after x seconds = 12 + 0.2x

Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.

Hank's speed after x seconds = 26.4 -0.7 x

As per given,

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Subtract 12 from both sides

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Multiply 10 on both sides, we get

9x=144

Divide both sides by 9 , we get x= 16

Hence, after 16 seconds the boats will be traveling the same speed.

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3 years ago
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I hope that this helps! :D

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