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3 years ago

If c(x)=3x-1 and k(x)=x^2-2x+1, what is the value of (c°k)(5)

Mathematics

1 answer:

Verdich [7]3 years ago

7 0

Is the equation supposed to be like this

(c o f)(5)?

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Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There ar

hichkok12 [17]

Answer:
1/2

Explanation

6 0

3 years ago

Read 2 more answers

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes

andre [41]

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

In this question, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that $m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833$

(a) What is the probability that more than three customers arrive in 10 minutes

This is P(X > 3). So

$P(X > 3) = e^{-0.0833*3} = 0.7788$

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

6 0

3 years ago

PLEASE HELP ME!!!!! Factor completely b^4 − b^3 + b − 1

Afina-wow [57]

b^4 − b^3 + b − 1
=(b^4 − b^3) + (b − 1)
= b^3(b - 1) + (b - 1)
=(b - 1)(b^3 + 1)

7 0

3 years ago

-1/6 + 2/3 ( 9 + - 3/4) + - 1/2

Liono4ka [1.6K]

First simplify the section in the parenthesis.
-1/6 + 2/3(8 1/4) + -1/2
Then multiply 2/3 by 8 1/4.
-1/6 + 5 1/2 + -1/2
Add -1/2 to 5 1/2.
-1/6 + 5
Add 5 to -1/6.
4 5/6 is the fully simplified answer.
Hope this helps!

7 0

3 years ago

3. Find BC 6. find m< A

sammy [17]

Answer:

Step-by-step explanation:

7 0

2 years ago