Suppose that the logons to a computer network follow a Poisson process with an average of 3 logons per minute. (a) What is the mean time between logons (in minutes)

Answers

Answer 1

Answer:

The mean time between logons is of 0.3333 minutes.

Step-by-step explanation:

Poisson process with an average of 3 logons per minute.

This means that the time between logons follows an exponential distribution, which mean is given by:

[tex]E(X) = \frac{1}{\lambda}[/tex]

For this question, we have that [tex]\lambda = 3[/tex], and thus:

[tex]E(X) = \frac{1}{\lambda} = \frac{1}{3} = 0.3333[/tex]

The mean time between logons is of 0.3333 minutes.


Related Questions

what is the answer?i need it bc im stuck​

Answers

Answer:

steam iron = 41.25

t-shirts = 17.82

paintbrushes = 13.94

bags of pasta = 3.52

total = 76.53

Answer:

1. 17.82 2. 13.94 3. 3.52 4. 35.28

Step-by-step explanation:

Hope thishelps :)

A cone has a height of 20 yards and a radius of 20 yards. What is its volume?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

8377.6 yards

Step-by-step explanation:

The formula for the volume of a cone is V=1/3hπr²

then ->

[tex] \frac{1}{3} \times 20 \times \pi \times {20}^{2} = \frac{8000}{3} \pi = 8377.58041 \: yards[/tex]

−8x − 6y = 24
Find the x−and y−intercepts.

Answers

Answer:

y = − 4 + 4  x 3

x = − 3 − 3  y 4

A sled is moving down a steep hill in a straight line. At time ts, the
acceleration of the sled is ams-2 where a = 1/500(20t^2-t^3), 0 < t < 20. When t = 0
the sled is at rest at the top of the hill. Find the distance the sled travels in
the first 10 s of its motion.

Answers

Acceleration is the rate of change of velocity over time

The sled travels 100 meters in the first 10 seconds of its motion

How to determine the distance

The acceleration function is given as:

[tex]a = \frac 1{500}(20t^2 - t^3)[/tex]

When t = 10, we have:

[tex]a = \frac 1{500}(20*10^2 - 10^3)[/tex]

[tex]a = 2[/tex]

The distance at 10 seconds is then calculated as;

[tex]S = ut +\frac 12 at^2[/tex]

Where:

u = initial velocity = 0

So, we have:

[tex]S = 0 *10 +\frac 12 * 2 * 10^2[/tex]

[tex]S =100[/tex]

Hence, the sled travels 100 meters in the first 10 seconds of its motion

Read more about acceleration at:

https://brainly.com/question/605631

Why should you avoid investing all your money in familiar stocks?
A.
to increase the value of your returns
B.
to research unfamiliar industries that might reveal good investment opportunities
C.
to avoid selling at a loss
D.
to avoid diversifying into multiple investment options

Answers

Answer:

B.

Step-by-step explanation:

The main reason for this is to research unfamiliar industries that might reveal good investment opportunities. When you conform to what you know, you fall into a comfort zone. This prevents you from taking the time to investigate and learn new things. In this scenario, investing everything in familiar stocks will prevent you from looking for new investment options in different industries which could have led to incredible investment opportunities. Therefore, it is a better choice to invest a large portion in safer familiar stocks but leave a certain percentage for riskier and newer investments.

Answer:

Why should you avoid investing all your money in familiar stocks?

A.

to increase the value of your returns

B.

to research unfamiliar industries that might reveal good investment opportunities

C.

to avoid selling at a loss

D.

to avoid diversifying into multiple investment options

Step-by-step explanation:

You are going to a 1940 mile trip, and your car get about 28 miles per gallon. Gas prices along your route average $2.95 per gallons. Calculate the cost of the trip

Answers

Answer: [tex]\$\ 204.4[/tex]

Step-by-step explanation:

Given

The total length of the trip is [tex]l=1940\ \text{miles}[/tex]

Car average is 28 miles per gallon

So, car requires

[tex]\Rightarrow \dfrac{1940}{28}=69.285\ \text{gallon}[/tex]

Price of gas is $2.95 per gallons

[tex]\therefore \text{cost is =}69.285\times 2.95\\\Rightarrow \$\ 204.4[/tex]

So, the cost of the trip is [tex]\$\ 204.4[/tex]

Case Study 2
Based on the success of their new treatment for sickle cell disease,
Amitye-Baane-Fortaleza research team decided to start a new company and
open a research center dedicated to curing diseases that disproportionately
affect Black people in the United States and around the world. They hired
an engineering and architecture firm called Bishapham-Cummins, Rice,
and Holloway LLC. They assigned their lead architects Fatoumata Sylla
and Leudy Tejada, along with lead engineers Jerome Wade, Neveah
Rodrigues and Jarell Hunte to design and build the new research center
based on the following square pyramid scale outline:

Answers

Answer:

good for them i think

Step-by-step explanation:

this doesnt make any sense

What is the value of this number in decimal form?
Three hundred sixty-seven thousandths.

Answers

Answer:

306+7÷100=306.07 that is the answer

There were 436 tickets purchased for a major league baseball game. The general admission tickets cost ​$6.50 and the upper reserved tickets cost ​$8.00. The total amount of money spent was ​$3284.00. How many of each kind of ticket were​ purchased?
How many general admission tickets were​ purchased? ____
How many upper reserved tickets we purchased? ___

Answers

Answer:

How many general admission tickets were​ purchased? __136__

How many upper reserved tickets we purchased? _300_

Step-by-step explanation:

Let the number of general tickets = g.

Let the number of reserved tickets = r.

6.5g + 8r = 3284

g + r = 436

     6.5g + 8r = 3284

(+)   -8g + -8r = -3488

--------------------------------

     -1.5g         = -204

g = 136

g + r = 436

136 + r = 436

r = 300

Answer:

How many general admission tickets were​ purchased? __136__

How many upper reserved tickets we purchased? _300_

Answer:

136 general admission tickets were purchased

300 upper reserved tickets were purchased

Step-by-step explanation:

This is a classic system of equations problem. Let the number of general admission tickets sold be [tex]g[/tex] and the number of reserved tickets sold be [tex]r[/tex]. We can write the following system of equations:

[tex]\begin{cases}6.50g+8.00r=3284,\\g+r=436\end{cases}[/tex]

Multiply the second equation by -8 and add both equations to isolate [tex]g[/tex]:

[tex]-8(g+r)=-8(436),\\-8g-8r=-3488,\\\begin{cases}6.50g+8.00r=3284,\\-8g-8r=-3488\end{cases},\\-1.5g=-204,\\g=\frac{-204}{-1.5}=\boxed{136}[/tex]

Now substitute [tex]g=136[/tex] into [tex]g+r=436[/tex] to find the number of reserved tickets sold:

[tex]g+r=436,\\136+r=436,\\r=436-136=\boxed{300}[/tex]

Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.

x 11 12 4 6 13 14 8 10 7 5 9
y 18.69 19.17 6.13 11.37 19.31 19.31 15.28 17.88 13.49 8.91 16.75

Required:
Create a scatterplot of the data.

Answers

Answer:

Ŷ = 1.3082X + 3.3436

Step-by-step explanation:

Given the data :

X : 11, 12, 4, 6, 13, 14, 8, 10, 7, 5, 9

Y : 18.69, 19.17, 6.13, 11.37, 19.31, 19.31, 15.28, 17.88, 13.49, 8.91, 16.75

Using technology, the data above gave the resulting linear regression model :

Ŷ = 1.3082X + 3.3436

Slope of model = 1.3082

Intercept = 3.3436

Scatter plot is attached below :

please answer question 9 and 11​

Answers

Answer:

9) 5888

11) ?

Step-by-step explanation:

9) Formula = l x w x h / 3

16 * 24 * 46 / 3 = 5888

Volume = 5888, no units

I can't help with 11, im confused, sorry but hope it helps.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which function, g or h, is the inverse function for function ƒ?

Answers

Answer:

B.

Step-by-step explanation:

Remember that graphically, a function and its inverse are reflections over the line y = x.

Given the graph of f, we see that h is not a reflection over the line y = x. So, we can eliminate choices A and C.

Function g is indeed a reflection of y over the line y = x. A function and its inverse is not its reflection over the x-axis so D is incorrect.

Hence, our answer is B.

Answer:

The answer is B. " the function g because the graphs of ƒ and g are symmetrical about the line y = x"

Find the value of x.

Answers

Answer:

[tex]4/12=x/18[/tex]

[tex]x=4*18/12[/tex]

[tex]x=6[/tex]

--------------------------

hope it helps...

have a great day!!

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. If w= the width of the rectangle, then the length equals OW-4 OW-4 401​

Answers

length is
10.5
inches
width is
6.5
inches
Explanation:
Let length be
l

Let width be
w

Let perimeter be
P

First, we must construct an equation for these variables:
l
=
w
+
4

P
=
34

But, Perimeter of a rectangle
=
l
+
w
+
l
+
w

=
2
l
+
2
w

So:
34
=
2
l
+
2
w

But, since
l
=
w
+
4
, we can substitute for
l
, having only the
w
variable:
34
=
2
(
w
+
4
)
+
2
w

34
=
2
w
+
8
+
2
w

34
=
4
w
+
8

Solve for
w
:
4
w
=
34

8

4
w
=
26

w
=
26
4

w
=
6.5
inches
Now, we can substitute
6.5
for
w
in the Perimeter Equation:
34
=
2
l
+
2
w

becomes:
34
=
2
l
+
2

6.5

34
=
2
l
+
13

Solve for
l
:
2
l
=
34

13

2
l
=
21

l
=
21
2

l
=
10.5
inches
Thus, length is
10.5
inches
Thus, width is
6.5
inches

Answer: L = 4 + w

A = 2P - 4

lw = 2(2l +2w) - 4

lw = 4(l + w) - 4

(w+4)w = 4 ( w+4+w) -4

(w +4)w = 4(2w + 4) - 4

w^2 + 4w = 8w + 16 - 4

w^2 + 4w = 8w + 12

w^2 - 4w - 12 = 0

( w - 6 )( w + 2 ) = 0

w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60

w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected

Step-by-step explanation:

The length of a rectangle is four times the width. If the area of the rectangle is 36
square inches, then find the length and width.

Answers

Answer:

36÷12=3

12×3=36

Length is 12

Width is 3

Michelle is a financial analyst who works 47.75 hours a week. Michelle earns $27 per hour as a financial analyst, and her
overtime pay rate is time-and-a-half. If full-time employment is considered 40 hours per week, how much does Michelle
earn each week? Round to the nearest penny.
O $1,353.78
$1,393.88
$1,423,68
o $1.453.68

Answers

9514 1404 393

Answer:

  (b)  $1,393.88

Step-by-step explanation:

For each overtime hour, Michelle is paid for 1.5 hours. That is we can figure her pay as though she worked straight time for ...

  47.75 hours + (7.75 hours)/2 = 51.625 hours

That pay is ...

  (51.625 h)($27/h) = $1393.88

Can somebody solve this?

Answers

Answer:

∠ABC = 46°

Step-by-step explanation:

DB and BC are of same length (radius), making it an isosceles triangle.

The base of the triangle is the same at 23°, a total of 46°.

180° - 46° = 134°

But we need ∠ABC, and since points DBA lie on the circumference, it's a straight line.

Therefore, 180° - 134° = 46°

A coin is flipped 60 times and lands on heads 36 times. Based on the experimental probability, how many heads would you predict for 200 flips of the coin?

Answers

Answer:

108

Step-by-step explanation:

200 divided by 60 equals 3 then 36 times 3 equals 108

Answer:

120 heads

Step-by-step explanation:

The Experimental probability for heads is 36/60. now we have to find the experimental probability for 200 flips. so 36/60 = ?/200. We have to find a number that 60 multiplies by to get 200. That number is 200/60 = 20/6 = 3 1/3. So multiply 36 by 3 1/3: 36 * 3 = 108. 36 * 1/3 = 12. 108 + 12 = 120. So it is 120 heads

A fair six-sided die is thrown four times Find the probability, correct to three decimal places, of getting
i) exactly one six occurs
ii) at least one six occurs​

Answers

Answer:

I) 0.386 = 38.6% probability that exactly one six occurs.

II) 0.518 = 51.8% probability that at least one six occurs.

Step-by-step explanation:

For each throw, there are only two possible outcomes. Either it is a six, or it is not. The probability of a six being rolled is independent of other throws, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Thrown four times

This means that [tex]n = 4[/tex]

Probability of rolling a six:

Six sides, one of which is 6. So

[tex]p = \frac{1}{6} = 0.1667[/tex]

i) exactly one six occurs

This is [tex]P(X = 1)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.1667)^{1}.(0.8333)^{3} = 0.386[/tex]

0.386 = 38.6% probability that exactly one six occurs.

ii) at least one six occurs​

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.1667)^{0}.(0.8333)^{4} = 0.482[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.482 = 0.518[/tex]

0.518 = 51.8% probability that at least one six occurs.

HELP PLEASE Which expressions are equivalent to 2(3/4x+7) -3(1/2x + -5)? Check all that apply.​

Answers

Answer:

2., 3., 5.

Step-by-step explanation:

when we do the multiplications we see

2×3x/4 + 2×7 - 3×1x/2 + 3×5 = 3x/2 + 14 - 3x/2 + 15 = 29

as 3x/2 and -3x/2 reduce themselves in a sum to 0.

this gives answer option 2.

the other correct answer options are just splitting the addition part in a multiplication into their 2 "sub-multiplications" and adding these results.

the only correct ones (correctly maintaining our converting the signs) are 3 and 5.

option 4 suddenly converts the -3 factor into +3 without any other compensation. so, that is wrong.

and option 1 made again a sign mistake with -3×-5, which is correctly +15 and not -15.

What is the mean of the following data values?
22, 37, 49, 15.92

Answers

The correct answer is 30.98

to find the mean in any data set you add all of the numbers together and then divide the sum by the total amount of numbers (in this data set it’s 4)

Answer:

30.98

Step-by-step explanation:

To solve for the mean/average of a set of numbers, you add them and divide by the number of numbers/data values.

(22+37+49+15.92)/4 = 123.92/4 = 30.98

Hope this helps and sorry if I made a mistake. :)

∠A and ∠B are supplementary angles. If
m ∠A =
(6x + 10)° and m ∠A = (4x + 30)°, then find the measure
of ∠B

Answers

Answer:

∠B = 86°

Step-by-step explanation:

Given ∠A and ∠B are supplementary angles.

That is , ∠A + ∠B = 180°

            ( 6x + 10)° + ( 4x + 30)° = 180°

             6x + 10 + 4x + 30 = 180

                 10x + 40 = 180

                 10x = 180 - 40

                     10x = 140

                      x = 14

Therefore, ∠A = (6x + 10) ° = (( 6 x 14) + 10)° = 94°

                ∠ B = ( 4x + 30)° = (( 4 x 14) + 30)° = 86°

Leo is visiting New York City to see the Empire State building. He knows that the Empire State building is 1,484 feet tall. When he spots it, he stops and has to look up at an angle of 84.7 degrees to see the top. How far away from the base of the Empire State building is he?[plz help mee!!]​

Answers

Answer:

a = 137.6

Step-by-step explanation:

The building and the street make a 90 degree angle. You have the length b, which is the height 1,484ft. The angle B 84.7 is created where he stands and looks up.

First, find the missing  hypotenuse, c. Your angel A is 180 - 90 -84.7 = 5.3

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin( B)=opp/hyp

sin(84.7) = 1484 / c

c = 1484/sin(84.7)

c=1490.37

Find the last side of the triangle, in this case the distant from Leo to the building, using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} = c^{2} -b^{2} \\a^{2} =1490.37^{2} -1484^{2} \\a=137.6[/tex]

A fruit punch that contains 10% fruit juice is combined with 100% fruit juice. How many ounces of each should be used to make 51oz of a mixture that is 70% fruit juice?

Answers

9514 1404 393

Answer:

34 oz 100%17 oz 10%

Step-by-step explanation:

Let j represent the number of ounces of 100% juice in the mix. Then (51-j) is the number of ounces of 10% juice. The total amount of fruit juice in the punch mix is ...

  1.00j + 0.10(51 -j) = 0.70(51)

  0.90j = 51(0.70 -0.10) . . . . . . . . collect j terms, subtract 0.10(51)

  j = 51(0.60/0.90) = 51(2/3) = 34 . . . . . . . divide by the coefficient of j

The mixture should use 34 ounces of 100% juice and 17 ounces of 10% juice.

i will mark brainliest please help me on this question! ​​

Answers

Answer:

C

Step-by-step explanation:

You can determine this by the third and fourth quartiles.

Answer:

C

Step-by-step explanation:

1,4,4,9,10,10,14

We know the smallest number is 1 and the largest number is 14, so they are left and right whiskers

1,4,4, 9, 10,10,14

The middle number is the 4th number, which is 9 so it is the middle number of the box

Taking the numbers on the left

1,4,4

The middle number is 4  so it is the left hand side of the box

Taking the numbers on the right

10,10,14

10 is the middle number so it is the right hand side of the box

Hello if you're able to answer this question help me and provide work as well, Thank you.

Answers

Answer:

2

Step-by-step explanation:

Given the nth term equation:

C(n) = - 6(-1/3)^(n-1)

The 2nd term :

C(2) = - 6(-1/3)^(2-1)

C(2) = - 6(-1/3)^1

C(2) = - 6(-1/3)

C(2) = - 6 * - 1/3

C(2) = 2

Which function is an even function?

Answers

f is an even function if f(-x) = f(x)

f is an odd function, if f(-x) = -f(x)

[tex] \csc( \frac{ - 3\pi \: x}{2} ) = - \csc( \frac{3\pi x}{2} ) [/tex]

Option B is an odd function

Help out omggggg !!!!!!

Answers

Answer:

sorry the diagram is not clear......

(d) 4 – 0.2 x (0.4 + 0.7)

Answers

Answer:

4d - 0.22

Step-by-step explanation:

Four accounting majors, two economics majors, and three marketing majors have interviewed for five different positions with a large company. Find the number of different ways that five of these could be hired. Instead of five positions, the company has decided that only three positions, with no restriction on the college majors, must be filled.
A. 2520 ways
B. 24 ways
C. 504 ways
D. 6 ways

Answers

Answer:

Option c

Step-by-step explanation:

From the question we are told that:

Four accounting majors [tex]N_a=4[/tex]

Two economics majors  [tex]N_e=2[/tex]

Three marketing majors  [tex]N_m=3[/tex]

Total Applicants N_T=9

Generally the equation for Different ways that five of these could be hired is mathematically given by

[tex]X_5=^9P_5[/tex]

[tex]X_5=\frac{9!}{(9-5)!}[/tex]

[tex]X_5=15120[/tex]

Generally the equation for Different ways that Three of these could be hired is mathematically given by

[tex]X_3=^9P_3[/tex]

[tex]X_3=\frac{9!}{(9-5\3)!}[/tex]

[tex]X_3=504 ways[/tex]

Option c

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