Telephone calls arrive at the Global Airline reservation office in Louisville according to a Poisson distribution with a mean of 2.2 calls per minute What is the probability of receiving at least 2 calls during a one-minute interval? What is the probability that at most 2 minutes elapse between 1 call and the next

Answers

Answer 1

Answer:

The answer is "0.6227 and 0.5971".

Step-by-step explanation:

[tex]\to p(x\leq 2)=p(0)+p(1)+p(2)[/tex]

                  [tex]=e^{-2.2}(1+2.2^{1}+\frac{2.2^2}{2!})\\\\=0.6227[/tex]

[tex]\to x \sim emp(\frac{1}{2.2})\\\\\to f(x)=\frac{1}{2.2} emp1-\frac{x}{2.2}[/tex]

[tex]\to p(x \leq 2)=\int^{2}_{0} \frac{1}{2.2} emp1(-\frac{x}{2.2}\ dx[/tex]

                  [tex]=1-emp1-2|2.2\\\\=0.5971[/tex]


Related Questions

What is the volume of the rectangular prism?
3 cm
8 cm
2 cm

Answers

Answer:

54 centimeters

Step-by-step explanation:

I NEED HELP ASAP WILL GIVE BRAINLIST PLEASEE HELP

List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches.

Answers

Step-by-step explanation:

Perimeter is a measurement of the distance around a shape and area gives us an idea ... Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet.

At lunch, Allan drank 2 pints of chocolate milk. How many fluid ounces is this equal to? i need answer asap

Answers

2 pints = 32 fluid ounces

Formula: Multiply the volume value by 16.

Answer:

32 pints

Step-by-step explanation:

Help I’m super confused and help would be appreciated!

Answers

Answer: 50 degrees

Step-by-step explanation: the total degree is 90 90-40=50

finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number​

Answers

Answer:

this is your answer look it once

The Martinez Family has driven 240 miles so far. Their total trip is 300 miles. What percentage of the trip have they already driven

Answers

Answer:

90%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

7/12 minus 1/6 gggggggggggggggggggg

Answers

Answer:

[tex] \frac{5}{12} [/tex]

Step-by-step explanation:

[tex] \frac{7}{12} - \frac{1}{6} \\ \\ = \frac{7}{12} - \frac{2}{12} \\ \\ = \frac{7 - 2}{12} \\ \\ = \frac{5}{12} [/tex]

Answer:

0.41666666666

or

5/12

Step-by-step explanation:

A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet. The width is 32 feet. The diagonal is 40 feet. Which best describes the foundation?

Answers

Answer:

d) A foundation may be a rectangle : 24² + 32² = 40²

Step-by-step explanation:

P.S - The exact question is -

Given - A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet. The width is 32 feet. The diagonal is 40 feet.

To find - Which best describes the foundation?

a) A foundation can not be a rectangle : 24 + 32 ≠ 40

b) A foundation can not be a rectangle : (24 + 32)² ≠ 40²

c) A foundation can not be a rectangle : √24² + 32² ≠ 40²

d) A foundation may be a rectangle : 24² + 32² = 40²

Proof -

We have to check whether the shape of the frame is rectangle or not.

As we know that,

A diagonal divides the rectangle in two right angle triangles

So,

Given that Length = 24

                  Width = 32

                  Diagonal = 40

By applying Pythagoras theorem, we get

40² = 24² + 32²

So,

The correct option is - d) A foundation may be a rectangle : 24² + 32² = 40²

12x - 6y = 13
8x - 4y = -21

Answers

Answer:

24

Step-by-step explanation:

24

What is 934-1?

Please answer the question so it doesn't get taken down but...
I really need a friend rn. So can someone add me on one of these...

Discord: Fraser#6900
Instagrаm: trulyfraser

Thanks :)

Answers

Answer:

it's 933

sorry i dont have discord insta.gram or any social media but i can add you on here

A candelabra holds 5 identical cylindrical candles, each with a diameter of 6 centimeters and a height of 9 centimeters. How many cubic centimeters of wax are in all the candles on the candelabra combined?

Answers

Answer: [tex]1272.51\ cm^3[/tex]

Step-by-step explanation:

Given

diameter of each candle is [tex]d=6\ cm[/tex]

The height of each candle is  [tex]h=9\ cm[/tex]

The volume of a cylinder is [tex]V=\pi r^2h[/tex]

The volume of each candle is

[tex]\Rightarrow V=\pi \times 3^2\times 9\\\Rightarrow V=254.502\ cm^3[/tex]

For 5 candles it is

[tex]\Rightarrow 5V=1272.51\ cm^3[/tex]

Total wax used for 5 candles is [tex]1272.51\ cm^3[/tex]

Write an equation of the line in slope-intercept form.

Answers

Answer: y = -0.5x + 1

Joshua buys a bunch of watermelons for $7.75. He plans on feeding his friends watermelon as a snack, and there will be 15 people to feed. What is the unit price for one serving of watermelon? The unit price for 1 serving of watermelon is (round to the hundredths place):

Answers

Answer:

$0.52

Step-by-step explanation:

To find the unit cost of one serving of watermelon, divide the price of the bunch of watermelons by the number of people to be fed

unit price = price of the bunch / total people to be fed

$7.75 / 15 = $0.52

. A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. An urban forest has 1,650 large and small trees. Together, these trees remove 1,818 kg of pollution each year. Which system of equations could be used to find the number of large and small trees in the forest?

Answers

Answer:

The system of equations are:

s + b = 1650.... Equation 1

0.04s + 1.5b = 1818........ Equation 2

The number of

Small trees = 450 trees

The number of Big trees = 1200 trees

Step-by-step explanation:

From the above question

Small trees = s

Large trees = b

An urban forest has 1,650 large and small trees.

Hence,

s + b = 1650.... Equation 1

s = 1650 -b

A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. Together, these trees remove 1,818 kg of pollution each year.

Hence:

0.04s + 1.5b = 1818........ Equation 2

We substitute 1650 - b for s

0.04(1650 - b) + 1.5b = 1818

66 - 0.04b + 1.5b = 1818

- 0.04b + 1.5b = 1818 - 66

1.46b = 1752

b = 1752 ÷ 1.46

b = 1200 trees

Solving for x

1650 - b = s

s = 1650 - 1200

s = 450 trees

What is the radius of a circle that has a sector area of 4 pi cm^2 and a central angle of 1pi/2 radians?
a.4
b.5
c.3pi
d.4pi​

Answers

Answer:4

Step-by-step explanation:

my question is what is x-4<6 i dont know inequalities

Answers

Answer:

x=6+4

x<10

(-∞,10)

Step-by-step explanation:

Inequalities are the greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

please and thank you ​

Answers

The answer to your question is D

Answer:

B

Step-by-step explanation:

ABC:

A = 10 degrees

B = 145 degrees

145 + 10 = 165

180 - 165 = 15 degrees

C = 15 degrees

MNP:

M = 145 degrees

N = 15 degrees

P = so therefore, P is 165 degrees

MNP is similar to ABC

Answer this question to get marked as brainliest plus 20 points!!!!!

Answers

Answer:

A. 91°

Step-by-step explanation:

∠A ≅ ∠B as vertical angles∠B + 47° + 42° = 180° (straight angle)∠B = 180° - 89° = 91°∠A = ∠B = 91°

find the mean and median weights of these cats.

Answers

Answer:

ok!

Step-by-step explanation:

the mean is 8.125 and the median is 7

(8.4x10^3)-(6.4x10^2)
Write anserr in scientific notation

Answers

i think the answer is 2x10^1
2x10^1 hope it helps!!

What is the value of x? 6 9 12 15

Answers

Answer:

yall its 9 i got it right on the test in edg

Step-by-step explanation:

The value of the variable 'x' in the arithmetic sequence 6, 9, 12, 15, x, .... will be 18.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence is given as,

6, 9, 12, 15, x, .....

The common difference between the succession term remains constant. Then the equation is given as,

15 - 12 = x - 15

Simplify the equation, then we have

15 - 12 = x - 15

3 = x - 15

x = 15 + 3

x = 18

The value of the variable 'x' in the arithmetic sequence 6, 9, 12, 15, x, .... will be 18.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ6

The complete sequence is given below.

6, 9, 12, 15, x, ......

The sum of two consecutive numbers is 35. What is the smallest number?

Answers

answer i got is 17, 18

3. Determine the slope of the line that has the following coordinates: (-3, 6) (4,-2)
-8/7
8/7
-7/8
12/7

Answers

Answer:

-8/7

Step-by-step explanation:

(-3, 6) & (4,-2)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-2 - 6) / (4 - (-3))

Simplify the parentheses.

= (-2 - 6) / (4 + 3)

= -8 / 7

Simplify the fraction.

= -8/7

This is your slope.

Hope this helps!

Write the linear equation in slope-intercept form given the following: (-4, 6); slope = -3/4

Answers

Answer:

6=-3/4x+(-4)

Step-by-step explanation:

The equation of any straight line, called a linear equation, can be written as: y= mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis. So for the given information you can see that they gave you your slope of -3/4 so you fill that in under the m. The point that would cross the y axis would be -4 because when you think of it on a graph you would see it as (-4 y)  and (6 x). When you are writing linear equations you use the form y=mx+b.

Hope this helps

HELP ME PLZZZZZ ITS DUE IN 10 MIN HELP PLZZZZ

Answers

Perimeter is 100 feet

Area is 600 feet

May someone help thank you so much

Answers

Answer:

<A=135°

now

3x+6+x+2=180

sum of two opposite angle of the cyclic quadrilateral is 180

4x=180-8

x=172/4=43°

<A=3×43+6=135° is your answer

Solve the equation.
2t – 5 = -10
t

Answers

Answer: (2t - 5) • (t - 1) -  2  = 0

t=3

Step-by-step explanation:

Answer
2t-5=-10t
T=5/12
In decimal 0.416

Hope this helps


2. Sean burns 540 calories per hour when he runs. How many calories does he
burn if he runs for 1 14 hours? *
Your answer
How do you know?*
Your answer

Answers

Answer:

540 times the hours he runs

Step-by-step explanation:

Simply just 540 times the hours he runs

which of the following situations could be modeled by an exponential function?
A. The water level of a tank decreases by 5 gallons every day.
B. The amount of money collected by a charity increases by $5,000 each year.
C. A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
D. The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Answers

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

in year 2 they collected A + $5000

in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

in year X they colected A + (X - 1)*$5000

C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.


QUICK QUICK QUICK 7 MINUTE

Answers

P is the answer because it’s between -5 and -4!!!!

Answer:

p is the answer!!!!!!!!!!!!!

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