Please help I need this done quickly with the work

Mathematics

1 answer:

myrzilka [38]2 years ago

4 0

Answer:

8x - 7.

Step-by-step explanation:

f(x) = 2x - 5,

g(x) = 4x -1,

substituting g(x) as x in f(x),

f(g(x)) = 2(4x - 1) - 5

= 8x - 7

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Calculate the speed of a 2-kg ball that has momentum of 10 kg•m/s

4vir4ik [10]

The formula for momentum is:
M=Mass*Velocity

From this formula we can derive the formula for velocity:

V=Momentum/Mass

We already know momentum (10 kg m/s) and mass (2 kg). Let's plug in the numbers into the formula:

V=10/2
V=5 m/s

7 0

3 years ago

A random variableX= {0, 1, 2, 3, ...} has cumulative distribution function.a) Calculate the probability that 3 ≤X≤ 5.b) Find the

olchik [2.2K]

Answer:

a) P ( 3 ≤X≤ 5 ) = 0.02619

b) E(X) = 1

Step-by-step explanation:

Given:

- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:

$F(X) = P ( X =< x) = 1 - \frac{1}{(x+1)*(x+2)}$

Find:

a.Calculate the probability that 3 ≤X≤ 5

b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that

Solution:

- The CDF gives the probability of (X < x) for any value of x. So to compute the P ( 3 ≤X≤ 5 ) we will set the limits.

$F(X) = P ( 3=$

- The Expected Value can be determined by sum to infinity of CDF:

E(X) = Σ ( 1 - F(X) )

$E(X) = \frac{1}{(x+1)*(x+2)} = \frac{1}{(x+1)} - \frac{1}{(x+2)} \\\\= \frac{1}{(1)} - \frac{1}{(2)}\\\\= \frac{1}{(2)} - \frac{1}{(3)} \\\\= \frac{1}{(3)} - \frac{1}{(4)}\\\\= ............................................\\\\= \frac{1}{(n)} - \frac{1}{(n+1)}\\\\= \frac{1}{(n+1)} - \frac{1}{(n+ 2)}$