A Hospital telephone operator has observed that calls arrive at a rate of 300 calls per hour. What is the probability that there are exactly 5 calls in 10 minutes?​

Answers

Answer 1

Answer:

It can be done using poisson distribution.

λ  = 30 calls/hr = 1.5 calls/3min

Now  P(X=x)=e−λ.λxx!

So  P(X=0)=e−1.5

Step-by-step explanation:


Related Questions

at the water treatment plant, a half empty tank is being filled with waste water at a rate of 850 gallons per minute. After 15 minutes the tank has 35,000 gallons of waste water. Write an equation in standard form that relates the amount of waste water in the tank, y , to the number of minutes, x, that the tank has been filling

Answers

Answer:

850x = y

Step-by-step explanation:

Yes or no awnser pls

Answers

Answer:

No the question iant a function

Solve for the value of p.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!!

Answers

Answer:

The angles are supplementary meaning they equal 180 degrees so the angles have to equal 180.

p + 7 + 3p + 1 = 180

4p + 8 = 180

-8          -8(subtracting 8 from both sides)

4p = 172

/4     /4(dividing by 4 on both sides)

p = 43

Answer:

A straight angle measures 180°

(p + 7) + (3p + 1) = 180

p + 7 + 3p + 1 = 180

4p + 8 = 180

4p = 180 - 8

4p = 172

•°• p = 172/4 = 43

PLSSS HELP!!

Which equation could have been used to create this graph?



y = x + 4


y = 2x


y = 4x


y = x + 2

Answers

The equation y = 4x could have been used to create that graph. This is because the y-intercept of that graph is 0, and the slope is 4.
y=4x
rise= 4
run= 1
4/1

Find the product z1z2 in standard form. (Simplify your answer completely.)
z1 = 9 + 3i, z2 = −9 + 3i

Answers

Answer:

See image

Step-by-step explanation:

These are "complex numbers" because they have the imaginary number, i, in the expression.

The 9 (and the -9) is the real part and the 3i is the imaginary part. But when you add or subtract, multiply or divide them you can manipulate them just as if the i was a variable (like x or n or y) If you learned to multiply

(x+2)(x+5)

= x^2 + 7x + 10

This problem will work the same way. You may have learned "FOIL" or using a box to multiply two binomials (two-piece things like x+2)

**SUPER IMPORTANT NOTE: i^2 is equal to -1

These particular complex numbers are called conjugates which means they have the same 'pieces' the 9 and the 3i, with only one sign different. So there is a short cut for this problem and the imaginary number falls out and we get a real number answer. This doesn't happen for every question, only when you multiply conjugates, but the method shown here works for multiplying complex numbers all the time.

Find a direct relationship
between y and x.
x= e2t and y= et
y = [?

Answers

Answer:

y=√x

Step-by-step explanation: here are the steps

The local cable company charges $90 per month for basic cable and $12 per month
for each additional premium cable channel. The function c (x) = 90 + 12x represents
the monthly charge (in dollars), where x represents the number of additional premium
channels. How many additional premium channels would you have ordered if your bill
was $114 per month?

Answers

2 because 114-90=24 12x2=24

Shania bought a $1455 drum set on the installment plan. The installment agreement included a 15% down payment and 18 monthly payments of $80.78 each.

Answers

Answer:

A

Step-by-step explanation:

Find the area of the circle. Round your answer to the nearest tenth. Use 3.14 or 22 for it mm area: about mm​

Answers

Answer:

3.1

Step-by-step explanation:

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

If you buy a stock originally valued at $2,500 then sell that stock later at $2,550 what is the percent of increase in the stock?

Answers

Answer:

2550-2500 = 5025% percent increase.

Step-by-step explanation:

Answer: 2%

Step-by-step explanation:

2500 X 1.02 = 2,550

What’s 8 more then triple a number?

Answers

Answer:

x^3+8

Step-by-step explanation:

How much material do you need to make two back pockets?

Answers

10 square inches to 16

Please answer this ASAP
Solve for y.
30y=20y+60

A: y= -6
B: y= 6
C: y= 1.2
D: y= -1.2

Answers

B
Thirty times 6 equals to 20 times 6 plus 60

At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3:1. How many of its 12000 students are from

Answers

Based on the information given, the number of students from Florida will be 9000 students.

Total number of students = 12000

Fraction from Florida = 3/4

Fraction of students not from Florida = 1/4

Therefore, the students from Florida will be:

= 3/4 × 12000

= 9000

The number of students from Florida is 9000.

Learn more on:

https://brainly.com/question/25868904

Determine if the relation below is a function.

(-5,1) ; (3,1) ; (5,1) ; (2,1)

Group of answer choices

Yes, this relation is a function.

No. this relation is not a function.

Answers

yes this is a function

13x+y=1
2x+6y=6
HELP PLZ

Answers

Answer:

(0,1)

Step-by-step explanation:

solve the first equation for y. y=1-13x

plug this into the other equation and solve for x.

2x+6(1-13x)=6

2x+6-78x=6

-76x+6=6

subtract 6 from both sides

-76x=0

x=0

plug this into the other original equation.

13(0)+y=1

y=1

(0,1)

A builder completed 65 houses in five months. At this rate, how many houses will the builder
complete in a year? (1 year = 12 months)
H
13 houses
L
130 houses
חד
F
780 houses
с
156 houses

Answers

Answer:

C. 156

Step-by-step explanation:

65/5

13 houses per month

13*12=156

Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find
tn,and the value n will start at)
10, 20, 60, 240

Answers

Answer:

steps below

Step-by-step explanation:

first term: t₁

t₁ = 10

t₂ = t₁ * (1+1) = 10 * 2 = 20

t₃ = t₂ * (2+1) = 20 * 3 = 60

t₄ = t₃ * (3+1) = 60 * 4 = 240

.......

tₙ = tₙ₋₁ * n   ...  first term: 10, n start at 2

80 cm of 2m express as percentage​

Answers

Answer:

There are 200 centimetres in 2 metres. Therefore, 80 centimetres is equal to 80/200 x 100 = 40 percent of 2 metres

find the value of x and y​

Answers

answer. X=50

as..

draw a imaginary line between M

let it one side be y and z

y+z=120

now,

y=70(being alternate angle)

y+z =120

so

z=120-70

z=50

as we know,

z is alternate to X

so ,X=50

PLEASEEE HELPPP I NEEDD HELPP WITH THISSS!

Answers

Answer: The answer is 27.04 square inches.

Explanation: The area of a square can be calculated by multiplying the length of a side by the length of a side.

Answer:

27.04 in^2

Step-by-step explanation:

hope this helps! :)

PLEASE HELP ME I AM STUCK AND I HAVE A HEADACHE I WILL GIVE BRAINLIST!!!!!!!

Answers

First, we can eliminate d(x) because we can see it's a linear line. We can also eliminate a(x) because it's also a linear line. Both b(x) and c(x) have an asymptote. on b(x) you can see that x = 3 is the asymptote. For c(x) if it's graphed, it has a horizontal asymptote at y = -1.

Hope this helps!

HELP! Jessica edits the school yearbook. She says the the dimensions of the student photo are proportional to the dimensions of the small photo, medium photo, and large photo found throughout the yearbook. Is she correct? Explain your reasoning.

Answers

Answer:

no

Step-by-step explanation:

The ratio of width to height for the different photos are ...

 student: 1 : 3/2 = (2/2):(3/2) = 2 : 3

 small: 2 : 5/2 = (4/2):(5/2) = 4 : 5

 medium: 4 : 5 . . . (same as small)

 large: 8 : 10 = 4 : 5 . . . (same as small and medium)

The small, medium, and large photos all have proportional dimensions, but those are not proportional to the dimensions of the student photo.

S/O:  sqdancefan

my Christmas present to you​

Answers

Answer:

thankss

Step-by-step explanation:

How many solutions to a system does the graph below show?

This is not a graph of a system of equations. Infinite Solutions
One Solution
No Solutions​

Answers

Answer: Check explanations

Step-by-step explanation: When lines are parallel, then there are infinite solutions (the answer), if they are intersecting there is only 1 solution, which is the point where the lines intersect, and if they aren't intersecting or parallel, then No solutions.

What is the value of x

Answers

Answer: your answer is 36.3 cause it's half of 72.6.

Step-by-step explanation:

Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x â€" 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b? a = 0. 4 and b = â€"0. 15 a = â€"0. 4 and b = 0. 15 a = 8. 6 and b = 14. 25 a = â€"8. 6 and b = â€"14. 25.

Answers

The residual of a regression is the difference between the actual value and the predicted value

The values of (a) and (b) are -0.4 and 0, respectively.

The entries are given as:

x  Given  Predicted    Residual

1    -0.7         -0.6             -1

2   2.3         1.95            0.35

3   4.1           4.5              a

4   7.2          7.2              b

The residual of a line of best fit is calculated using:

[tex]Residual = Actual - Predicted[/tex]

Using the entry headings, the formula would be:

[tex]Residual = Given - Predicted[/tex]

To calculate the value of (a), we make use of entry (3).

So, we have:

[tex]a = 4.1- 4.5[/tex]

[tex]a = -0.4[/tex]

To calculate the value of (b), we make use of entry (4).

So, we have:

[tex]b = 7.2- 7.2[/tex]

[tex]b = 0[/tex]

Hence, the values of (a) and (b) are -0.4 and 0, respectively.

Read more about residuals at:

https://brainly.com/question/4333650

2. Write an equation of the parabola with vertex (3, 1) and focus
(3, 5)

Answers

Answer:

2. Write an equation of the parabola with vertex (3, 1) and focus

(3, 5o3

PLZ HELP, I need it done in like 20 mins. PLZZZ

Answers

Answer:

16.8

Step-by-step explanation:

Plug the equation (700+(-196))/((30+(3.5-(1/2))))+(-3)) into a calculator

Jae bought 85 tickets to spend on games and rides at an amusement park. Games cost 3 tickets each, and rides cost 8 tickets each. Jae has already used 39 of the tickets. If he uses all of his remaining tickets for rides, how many more times can Jae go on rides?

Answers

Answer:

15

Step-by-step explanation:

Jae can go 15 more times on the rides.

Answer:

Jae can ride 5.75 or 5 more times

Step-by-step explanation:

Total of tickets, Jae buys 85

Jae uses (-) 39 tickets

85 - 39 = 46 remaining tickets

Rides: 8 tickets each

46/8 = 5.75

I hope this helps.

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