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vovikov84 [41]
2 years ago
15

Find (f•g)(2) given f(x)=x-3 and g(x)=x+3 Please show your work

Mathematics
1 answer:
marissa [1.9K]2 years ago
7 0

Answer:

f.g(x) = f(g(x))\\f(g(2)) = ?\\\\g(x) = x+3 \\g(2) = 5\\\\f(x) = x-3\\f(g(2)) = f(5) = 2=f.g(2)

Step-by-step explanation:

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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
Solve using the quadratic formula
Novay_Z [31]

Answer: 5.17, -0.67


Step-by-step explanation: Solve the equation for p by finding a, b, and c of the qudratic then applying the qquadratic formula

Excact Form: p = 9 + √137/4, 9 - √137/4

Decimal Form:

p = 5.17617497 . . . , -0.67617497 . . .

Hope this helps! :)

~Zane


4 0
3 years ago
HELP ME PLZ!!!!! Identify the domain of the graph of y = −x2 − 6x − 13. (1 point) All real numbers x ≤ −4 x ≥ −6 x ≥ −2
vlada-n [284]

Answer:

Step-by-step explanation:

All real numbers because x can assume every possible value

5 0
3 years ago
Read 2 more answers
The radius of a sphere with a volume of 4.5 cubic mm is ___ mm.
daser333 [38]

Answer: 1.5 mm

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Please HELP!!!!!!!!!
DaniilM [7]

1.

Calculate the sum

5x - 10 + 7 = 65 - 20x + 32

Move terms

5x - 3 = 97 - 20x

Collect the like terms and calculate

5x + 20x = 97 +3

Divide both sides by 25

25x = 100

X= 4 ANSWER

I skipped some steps because it would be too long :/

2.

Multiply parenthesis by 8

20x>8(4x - 5) -20

Calculate

20x>32x - 40 - 20

Move variable to the left

20x>32x-60

Collect like terms

20x - 32x > -60

Divide both sides by -12

-12x>-60

X<5 ANSWER

8 0
3 years ago
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