En la clase de Camila hay 28 estudiantes,

There are 10 soccer teams at the sunnydale soccer league. Each team will play every other team once. How many games will there b

Roman55 [17]

Answer:

90 games

Step-by-step explanation:

6 0

2 years ago

The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t

damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Poisson distribution with an average of three errors per page

This means that $\mu = 3$

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

Then

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472$

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0

2 years ago

Write down the nth term of the sequence 5, 8, 13, 20, 29

amid [387]

Hello! To find any number in the arithmetic sequence we can use a formula!

It is given by $a_n =a_1+(n-1)d$

The geometric sequence formula goes by $S_n = \frac{a_1(1-r^n)}{1-r}$

So for this we notice that there's a start of 5 and is being added 3 to get 8.

and then each time it is added by 2 more to get the next time

5
5+ 3 = 8
8 + 5 = 13
13 + 7 = 20
20 + 9 = 29
29 + 11 = 41
41 + 13 = 54
54 + 15 = 69
69 + 17 = 83

Your formula is $a_n = (n-1)^2 + 4

$
Where n starts at 2 not 1

8 0

2 years ago

-x2 + x-1=0

tia_tia [17]

-x^2 + x-1=0 divide by (-) 

x^2-x+1=0 

x=1/2(+-) root of (1/2)^2-1 

x=1/2(+-) root of (1/4)-1 
 
x=1/2(+-) root of (1/4)-1 

x=1/2(+-) root of (1/4)-((4*1)/4) 

x=1/2(+-) root of (-3/4)

which has not answers, because we can not take a root of negatives numbers

5 0

2 years ago

Read 2 more answers

How many zeros does the function ????(x) = 3x^2 + 6x + 2 have? Explain how you know.

maxonik [38]

Answer:

The function has 2 zeros:

$x = -1 - \frac{1}{\sqrt{3}}\\x = -1 + \frac{1}{\sqrt{3}}$

Step-by-step explanation:

When you have a polynomial function, you can identify the grade of the function (the grade is the maximum potency) and this is the number of zeros that the function will have. In this case, you have a second-grade polynomial function that has 2 zeros.

6 0

2 years ago