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Westkost [7]
3 years ago
10

How many t-shirts were sold if you spent a total of $88

Mathematics
1 answer:
torisob [31]3 years ago
5 0

Answer:

4 t-shirts because if one t-shirt is $22 then $88 divided by $22 is 4

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Simplify 3^2 * 3^(-5). Express your answer as a fraction
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Answer:

1 /27

1 over 27

Step-by-step explanation:

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3 years ago
Audrey, an astronomer is searching for extra-solar planets using the technique of relativistic lensing. Though there are believe
Stolb23 [73]

Answer:

Step-by-step explanation:

The model N (t), the number of planets found up to time t, as a Poisson process. So, the N (t) has distribution of Poison distribution with parameter (\lambda t)

a)

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E[N(t)]= \lambda t\\\\=\frac{1}{3}(24)\\\\=8

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For Poisson process mean and variance are same,

Var[N (t)]= Var[N(24)]\\= E [N (24)]\\=8

 

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b)

For the Poisson process the intervals between events(finding a new planet) have  independent  exponential  distribution with parameter \lambda. The  sum  of K of these  independent exponential has distribution Gamma (K, \lambda).

From the given information, k = 6 and \lambda =\frac{1}{3}

Calculate the expected value.

E(x)=\frac{\alpha}{\beta}\\\\=\frac{K}{\lambda}\\\\=\frac{6}{\frac{1}{3}}\\\\=18

(Here, \alpha =k and \beta=\lambda)                                                                      

C)

Calculate the probability that she will become eligible for the prize within one year.

Here, 1 year is equal to 12 months.

P(X ≤ 12) = (1/Г  (k)λ^k)(x)^(k-1).(e)^(-x/λ)

=\frac{1}{Г  (6)(\frac{1}{3})^6}(12)^{6-1}e^{-36}\\\\=0.2148696\\=0.2419\\=21.49%

Hence, the required probability is 0.2149 or 21.49%

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3 years ago
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Answer:

6

Step-by-step explanation:

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Graph C is the reflected image of triangle P
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