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Savatey [412]
3 years ago
6

I need help with this

Mathematics
1 answer:
balandron [24]3 years ago
6 0
Here you go! Hope this helps

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-4+x= -11 please answer it
Slav-nsk [51]

Answer:

x=-7

Step-by-step explanation:

add 4 to both sides. leaving you with x=-7

8 0
3 years ago
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The quiz grades for ten students were used to make the box plot shown above. Which of the following is the median quiz grade?
coldgirl [10]

Answer:

81

Step-by-step explanation:

7 0
2 years ago
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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)

The mean for a month is, \lambda = \frac{1}{3} per month

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

(Here. t = 24)

For Poisson process mean and variance are same,

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

 

(Poisson distribution mean and variance equal)

 

The standard deviation of the number of planets is,

\sigma( 24 )] =\sqrt{Var[ N(24)]}=\sqrt{8}= 2.828

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%

5 0
3 years ago
The booster club at school is raising funds by selling t-shirts at each athletic event. They must pay the manufacturer $110 plus
insens350 [35]

Step-by-step explanation:

Total money paid=$110+$5.5=115.5

Cost of each shirt=$8

Therefore,

No. of T shirt req.=115.5/8=14.4

So they req. 15 T-Shirts

6 0
2 years ago
Samantha can run one mile in 8 minutes. At this rate how long will it take her to run in 5 miles
Serhud [2]
It would take Samantha 40 minutes to run 5 miles!!!
4 0
3 years ago
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