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pav-90 [236]
3 years ago
8

What are the lcm of 4,2,4

Mathematics
2 answers:
Kazeer [188]3 years ago
6 0
4 and 4 have the same lcm...

What is the LCM (least common multiple) of 2 and 4.?

Multiples of 2 and 4

2: 0 2 4 6 8 10 12 14 16 18 20
4: 0 4 8 12 16 20 24 28 32 36 40

The least common multiple is 4
Delicious77 [7]3 years ago
5 0

The least common multiple of  2  and  4  is  4 .

Here's a useful hint to keep in mind:
If the smaller number is a factor of the larger number,
then the larger number is the LCM of both of them.



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Let Y1 and Y2 have the joint probability density function given by:
Ann [662]

Answer:

a) k=6

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Step-by-step explanation:

a) if

f (y1, y2) = k(1 − y2), 0 ≤ y1 ≤ y2 ≤ 1,  0, elsewhere

for f to be a probability density function , has to comply with the requirement that the sum of the probability of all the posible states is 1 , then

P(all possible values) = ∫∫f (y1, y2) dy1*dy2 = 1

then integrated between

y1 ≤ y2 ≤ 1 and 0 ≤ y1 ≤ 1

∫∫f (y1, y2) dy1*dy2 =  ∫∫k(1 − y2) dy1*dy2 = k  ∫ [(1-1²/2)- (y1-y1²/2)] dy1 = k  ∫ (1/2-y1+y1²/2) dy1) = k[ (1/2* 1 - 1²/2 +1/2*1³/3)-  (1/2* 0 - 0²/2 +1/2*0³/3)] = k*(1/6)

then

k/6 = 1 → k=6

b)

P(Y1 ≤ 3/4, Y2 ≥ 1/2) = P (0 ≤Y1 ≤ 3/4, 1/2 ≤Y2 ≤ 1) = p

then

p = ∫∫f (y1, y2) dy1*dy2 = 6*∫∫(1 − y2) dy1*dy2 = 6*∫(1 − y2) *dy2 ∫dy1 =

6*[(1-1²/2)-((1/2) - (1/2)²/2)]*[3/4-0] = 6*(1/8)*(3/4)=  9/16

therefore

P(Y1 ≤ 3/4, Y2 ≥ 1/2) =  9/16

8 0
3 years ago
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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6 0
3 years ago
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seraphim [82]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Find the nth term of this number sequence<br> 7, 10, 13, 16, ...<br><br> help please !!
LenKa [72]

Answer:

a_{n} = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 3

this indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

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8 0
2 years ago
Read 2 more answers
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