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3 years ago

Please Answer, giving Brainliest and 50 points to the best answer!

Mathematics

1 answer:

tresset_1 [31]3 years ago

7 0

Answer:

10 and 40

Step-by-step explanation:

Find the prime factorization of 10

10 = 2 × 5

Find the prime factorization of 40

40 = 2 × 2 × 2 × 5

Multiply each factor the greater number of times it occurs to find the LCM:

LCM = 2 × 2 × 2 × 5

LCM=40

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Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose t

hammer [34]

Answer:

a) P(X<100)=0.7855

P(X<200)=0.9418

P(100<X<200)=0.1830

b) P(X>M+2σ)=0.0498

c) Median = 48.74 m

Step-by-step explanation:

If the distance X is modeled by an exponential distribution, with parameter λ=0.01422, we have:

The cumulative probability function can be expressed as:

$F(x)=1-e^{-\lambda x}=1-e^{-0.01422 x}$

a) The probability that the distance is at most 100 m is:

$F(100)=1-e^{-0.01422\cdot 100}=1-e^{-1.422}=1-0.2412=0.7588$

The probability that the distance is at most 200 m is:

$F(200)=1-e^{-0.01422\cdot 200}=1-e^{-2.844}=1-0.0582=0.9418$

The probability that the distance is between 100 and 200 m is:

$F(200)-F(100)=0.9418-0.7588=0.1830$

b) The mean is M=1/λ=70.3235 and the standard deviation σ=1/λ=70.3235.

So we have to calculate the probability that X exceeds 2 times the s.d. from the mean:

$x=M+2\sigma=70.3235+2*70.3235=210.97\\\\P(x>210.97)=1-F(210.97)\\\\P(x>210.97)=e^{-0.01422*210.97}=e^{3}=0.0498$

c) The value of the median distance is

$Median=ln(2)/\lambda=0.69314/0.01422=48.74$

7 0

3 years ago

Kam had bought 10 packets of chocolates where one packet contains 15 small packs. He wants to share equally among his four child

Arturiano [62]

2 small packs left
148 divided by 4, 2 left

5 0

3 years ago

3+4=19, 5+6=41, 1+3=?

Umnica [9.8K]

3+4 = 7. 19/7 = 2.71
5+6 = 11. 41/11 = 3.73
1+3 = 4. ?/4 = 4.75 <--- Following the pattern of +1.02 (2.71+1.02=3.73, therefore 3.73+1.02=4.75
We still need (?) ... ?/4=4.75 we can re-write this as 4(4.75)=?
4(4.75) = 19 (4x4=16, 4x0.75=3, 16+3=19)
Therefore, 1+3=19.

4 0

3 years ago

Read 2 more answers

Savannah filled

denpristay [2]

Answear:

G=T hope dissssssssss helps