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3 years ago

If f(x) =x-3 then find f^-1 (x)

Mathematics

1 answer:

Pepsi [2]3 years ago

4 0

Answer: x+3

The original function tells us to subtract 3 from the input x.

The inverse function will do the exact opposite: it adds 3 to the input x.

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A box of golf balls costs $7.32. At that rate, how much will a box of 15 balls cost?

san4es73 [151]

Your question is vague. There is not enough information. How many balls are in the box? 15 boxes would cost 109.80 thought.

3 0

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 $(\lambda t)$

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,

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

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 $\beta=\lambda$ )

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

2 years ago

Help me please 10 points

Ne4ueva [31]

Answer: 2/15

Step-by-step explanation:

25-21/30 = 4/30

4/30 = 2/15

7 0

3 years ago

Read 2 more answers

How do I show my work for 25 x 3/5=15

stepladder [879]

Cut 25 with 5
5x3 = 15
15 = 15

5 0

2 years ago

Wendy saved up for a family trip to the beach. For each $1 she saved, her parents pledged to save $5. If her parents were able t

viva [34]

225/5 = 45
This means the parents gave her five dollars forty five times. If they gave her a five every time she saved one dollar, you just have to multiply the money she saved each time and the number of times she saved it, and you'll get the answer.
Wendy saved $45 by herself

6 0

3 years ago

Read 2 more answers