Factorise 6x^2

Assume that during each second, a job arrives at a webserver with probability 0.03. Use the Poisson distribution to estimate the

Savatey [412]

Answer:

The probability that at lest one job will be missed in 57 second is $=1- e^{-1.71}$ =0.819134

Step-by-step explanation:

Poisson distribution:

A discrete random variable X having the enumerable set {0,1,2,....} as the spectrum, is said to be Poisson distribution.

$P(X=x)=\frac{e^{-\lambda t}({-\lambda t})^x}{x!}$ for x=0,1,2...

λ is the average per unit time

Given that, a job arrives at a web server with the probability 0.03.

Here λ=0.03, t=57 second.

The probability that at lest one job will be missed in 57 second is

=P(X≥1)

=1- P(X<1)

=1- P(X=0)

$=1-\frac{e^{-1.71}(1.71)^0}{0!}$

$=1- e^{-1.71}$

=0.819134

6 0

4 years ago

PLSSSSSSSSSSSSSSS HELP pls

sertanlavr [38]

${\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's solve ~

$\qquad \sf \dashrightarrow \: 10x + 30 = 90$

[ according to given figure ]

$\qquad \sf \dashrightarrow \: 10x = 90 - 30$

$\qquad \sf \dashrightarrow \: 10x = 60$

$\qquad \sf \dashrightarrow \: x = 60 \div 10$

$\qquad \sf \dashrightarrow \: x = 6 \degree$

Correct choice is D

7 0

2 years ago

Cuál es el menor número entero que, disminuido en 8, resulta menor que su triple

Mars2501 [29]

Answer:

-3

Step-by-step explanation:

Let x = the number

Then 3x = its triple, and the condition is:

x - 8 < 3x

Subtract x from each side

-8 < 2x

Divide each side by 2

-4 < x

Reverse the inequality

x > -4

The smallest integer greater than -4 is -3.

Check:

-3 - 8 < 3(-3)

-11 < -9

It checks.

5 0

4 years ago

A school is planning a field trip to a theme park. A ticket to the park costs $21. For a group of 50 or more, there is a 12%

klasskru [66]

With a 12% discount, 18.48 is the price per ticket (2.52 per ticket saved). In order to determine the amount of tickets, we divide the saved amount by the amount saved per ticket.

819/2.52 is 325.

There were 325 tickets purchsed.

4 0

4 years ago

A candy store owner wants to mix some candy costing $1.25 a pound

maria [59]

The candy store owner should use 37.5 pounds of the candy costing $1.25 a pound.

Given:

Candy costing $1.25 a pound is to be mixed with candy costing $1.45 a pound
The resulting mixture should be 50 pounds of candy
The resulting mixture should cost $1.30 a pound

To find: The amount of candy costing $1.25 a pound that should be mixed

Let us assume that the resulting mixture should be made by mixing 'x' pounds of candy costing $1.25 a pound.

Since the total weight of the resulting mixture should be 50 pounds, 'x' pounds of candy costing $1.25 a pound should be mixed with ' $50-x$ ' pounds of candy costing $1.45 a pound.

Then, the resulting mixture contains 'x' pounds of candy costing $1.25 a pound and ' $50-x$ ' pounds of candy costing $1.45 a pound.

Accordingly, the total cost of the resulting mixture is $1.25x+1.45(50-x)$

However, the resulting mixture should be 50 pounds and should cost $1.30 a pound. Accordingly, the total cost of the resulting mixture is $1.30 \times 50$