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masha68 [24]
3 years ago
13

Blocks numbered 0 through 9 are placed in a box, and a box is randomly picked.

Mathematics
2 answers:
kvasek [131]3 years ago
8 0

A) Since there are 3 (3,5,7) odd primes between 0-9 and there are 10 blocks from 0-9, the probability is 3/10


B)  Since there are 3 (1,4,9) perfect squares above 0 and there are a totally 10 blocks from 0-9, the probability is 3/10.

Anastasy [175]3 years ago
5 0

Answer:P(Prime number) = 0.4

P(Perfect Square>0) =0.1

Step-by-step explanation:There is 10 numbers in the box.

Out of the 10 numbers 4 are prime numbers (2 3 5 7) the probability to pick a prime number is thus 4/10=0.4

The only number greater than zero that is a perfect square is 4. The probability of picking a perfect square bigger than zero is thus 1/10=0.1

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A triangle has side lengths of 34in. 28in. and 42in. Is the triangle acute, right or obtuse?
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A triangle with an angle measuring 104° must be which of these?
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Consider this sequence: -81, -54, -36, -24, … . The sequence is . The common ratio of the sequence is . The sum of the first fiv
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Read 2 more answers
Let P (n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The goal is to sh
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Complete Question

Let P (n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The parts of this exercise outline a strong induction proof that P (n) is true for n ≥ 18.

Show statements P (18), P (19), P (20), and P (21) are true, completing the basis step of the proof.

Answer:

P(18) is true

P(19) is true

P(20) is true

P(21) is true

Step-by-step explanation:

a. When n = 18

18 cents can be formed using two 7cents and one 4cents

i.e. 2 * 7 + 4 = 18

So, P(18) is true

b. When n = 19

19 cents can be formed using one 7cents and three 4cents

i.e. 1 * 7 + 3 * 4 = 19

So, P(19) is true

c. When n = 20

18 cents can be formed using five 4cents

i.e. 5 * 4 = 20

So, P(20) is true

d. When n = 21

18 cents can be formed using three 7cents

i.e. 3 * 7 = 21

So, P(21) is true

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3 years ago
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