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adoni [48]
3 years ago
8

The number 509 is a prime number what is the next largest prime

Mathematics
2 answers:
Rashid [163]3 years ago
8 0
The next big prime number is 521
Iteru [2.4K]3 years ago
6 0
The answer would be 521
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Use the roster method to write the given set. You may need to consult a reference, such as the internet or an encyclopedia. (ent
Illusion [34]
{0,1,2,3,4,5,6,7,8,9}
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3 years ago
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A pack of snack bars includes 2 blueberry bars, 3 chocolate bars, and 5 cherry bars. What is the ratio of the number of blueberr
scoundrel [369]

Answer:

2:5

Step-by-step explanation:

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3 years ago
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A die is rolled. If you roll a 1, 2 or 3, you will toss 10 coins. If you roll a 4, 5 or 6, you will toss 20 coins. Let X denote
trasher [3.6K]

Answer:

a) The support of X is {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

b) The mean of X is 7.5

c) The variance of X is 10

Step-by-step explanation:

a) Since you can toss up to 20 coins, and from that you can obtain any number of heads from 0 to 20, then the support of X {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}.

b) To compute the mean of X, we need to see how is the <em>behavior</em> of X. Since 3 dices will gives 10 coins to toss and the other 3 will give us 20, then there is a probability of 1/2 that we tossed 10 coins and a probability of 1/2 that we tossed 20.

The random variable X, conditioned to the event 'The dice is 1,2 or 3' (or equivalently, 10 coins are tossed), will have a binomial distribution with paramenters n = 10, p = 1/2. The mean of X in this case is np = 5. If X is conditioned to the event 'The dice is 4,5 or 6', then X will have also binomial distribution, but this time with paramenters n = 20, p = 1/2. The mean of X in this case is 20*1/2 = 10.

Since each event we conditioned in had probability 1/2 to occur, then E(X) = 1/2 * 5 + 1/2 * 10 = 7.5.

c) Remember that V(X) = E(X²)- E(X)². Since we alredy know the mean of X, we just need to compute the mean of X squared.

The variance of a binomial distribution Z with paramenters n and p is

V(Z) = np(1-p)

since V(Z) = E(Z²)- E(Z)² = E(Z²)- n²p², then

E(Z²) = V(Z) + E(Z)² = np(1-p) + n²p² = p²(n²-n) + np

Therefore

E(X²) = E(X² | 10 coins are tossed) * 1/2 + E(X² | 20 coins are tossed) * 1/2 =

1/2*(0.5²(10²-10) + 5) + 1/2*(0.5²(20²-20) + 10) = 13.75 + 52.5 = 66.25

As a consecuence

V(X) = 66.25 - 7.5² = 10

The variance of X is 10.

5 0
3 years ago
Locate and label the following fraction on the number line 1/2 4/2 5/2
LuckyWell [14K]

1/2 would be in between 0 and 1. The fraction 4/2 is actually 2, so it would just be plotted on the number 2 on the number line. 5/2 is reduced to 2.5, therefore it goes in between 2 and 3.
5 0
3 years ago
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Simplify -3 to the exponent of 4
WITCHER [35]
<h2><u>Answer</u>:</h2>

81

<h2><u>Step-by-step explanation</u>:</h2>

( - 3)^{4}  \\  \\   - 3 \times  - 3 \times  - 3 \times  - 3 \\  \\ 9 \times 9 \\  \\ 81

Hence answer is 81.

8 0
3 years ago
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