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stepan [7]
3 years ago
8

Find the inverse of f(x)=1/(x^3)

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:

Step-by-step explanation:

yf(x)^{-1}  = inverse\\f(x)=y \\y = 1/(x^{3} \\Inverse: y=x ------------> x = 1/y^{3}\\y^{3} - \frac{1}{x} = 0\\y^{3} = \frac{1}{x}\\y = \sqrt[3]{\frac{1}{x}} \\y = \frac{\sqrt[3]{1} }{\sqrt[3]{x}} \\y = \frac{1}{\sqrt[3]{x}}

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Suppose N has a geometric distribution with parameter p. Derive a closed-form expression for E(N | N <= k), k = 1,2,... Check
vfiekz [6]

Answer:

P(X= k) = (1-p)^k-1.p

Step-by-step explanation:

Given that the number of trials is

N < = k, the geometric distribution gives the probability that there are k-1 trials that result in failure(F) before the success(S) at the kth trials.

Given p = success,

1 - p = failure

Hence the distribution is described as: Pr ( FFFF.....FS)

Pr(X= k) = (1-p)(1-p)(1-p)....(1-p)p

Pr((X=k) = (1 - p)^ (k-1) .p

Since N<=k

Pr (X =k) = p(1-p)^k-1, k= 1,2,...k

0, elsewhere

If the probability is defined for Y, the number of failure before a success

Pr (Y= k) = p(1-p)^y......k= 0,1,2,3

0, elsewhere.

Given p= 0.2, k= 3,

P(X= 3) =( 0.2) × (1 - 0.2)²

P(X=3) = 0.128

3 0
2 years ago
Check out the attachment and help me out please!!!
Aleks [24]

Answer:

20

Step-by-step explanation:

4 + 2 + 5 + 4 + 0 + 1 + 1 + 3 = 20

5 0
3 years ago
What is the value of n in the equation 0.2(n - 6) = 2.8?<br> (1) 8 (3) 20<br> (2) 2 (4) 44
Vera_Pavlovna [14]
So,

0.2(n - 6) = 2.8

Distribute.
0.2n - 1.2 = 2.8

Add 1.2 to both sides.
0.2n = 4

Divide both sides by .2.
n = 20

Check.
0.2(20 - 6) = 2.8

Simplify inside parentheses.
0.2(14) = 2.8

Multiply.
2.8 = 2.8 This checks.

S = {2.8}
3 0
2 years ago
Please help <br> Will give brainliest!!!
Verdich [7]
Step 1: set equations equal to eachother
2x+2=x-1
which equals to x=-3
so the answer is one.
7 0
3 years ago
Read 2 more answers
The diameter of bushings turned out by a manufacturing process is a normally distributed random variable with a mean of 4.035 mm
Andrew [12]

A) the z score for 95% is 1.96

Multiply by the deviation:

1.96 x 0.005 = 0.0098

Now add and then subtract that from the mean:

4.035 - 0.0098 = 4.0252

4.035 + 0.0098 = 4.0448

The interval is (4.0252, 4.0448)

B) 4.035 +/- 1.96 x sqrt( 0.005/sqrt(25))

= 4.035 +/-0.00196

Answer: ( 4.033, 4.037)

C) the conclusion is that both 4.020 and 4.055 are out of the range.

4.020 is below the lowest range and 5.055 is higher than highest range.

6 0
3 years ago
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