On average, Nancy has noticed that 18 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 4 trucks will pass her apartment in a 5-hour time period using the Poisson distribution, find the average number of trucks per 5 hours. Round your answer to three decimal places, if necessary.

Answers

Answer 1

Answer:

the average number of trucks per 5 hours is 3.750 trucks per 5 hours

Step-by-step explanation:

The computation of the average number of trucks per 5 hours is given below:

= Number of trucks passed ÷ time taken × given time

= 18 trucks ÷ 24 trucks × 5

= 3.750 trucks per 5 hours

Hence, the average number of trucks per 5 hours is 3.750 trucks per 5 hours

The same is to be considered by applying the above formula


Related Questions

what is inequalities​

Answers

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

Inequalities are mathematical statements that describe a relationship between two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are used to compare quantities and express their relative sizes or order.

The most common symbols used in inequalities are:

">" (greater than): indicates that the value on the left side is larger than the value on the right side.

"<" (less than): indicates that the value on the left side is smaller than the value on the right side.

"≥" (greater than or equal to): indicates that the value on the left side is greater than or equal to the value on the right side.

"≤" (less than or equal to): indicates that the value on the left side is less than or equal to the value on the right side.

"≠" (not equal to): indicates that the values on both sides are not equal.

Inequalities can be represented using variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solutions to inequalities are often expressed as intervals or sets of values that satisfy the given inequality.

Inequalities are used in various branches of mathematics, as well as in real-world applications such as economics, physics, and social sciences, to describe relationships, make comparisons, and analyze data.

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9.8x7.6 multiple I need help please

Answers

Answer:

74.48

Step-by-step explanation:

Just Multiply 9.8 and 7.6

Answer:

74.48

Step-by-step explanation:

9.8x7.6= 74.48

All you need to do is line up the numbers and multiply like normal if you get a ten or higher it will go to the next number up

A store is offering 20% discounts on new laptops and 10% discounts on new printers when the two are purchased together. The original prices of the two together is at least $1,050. The discounted price exceeds $860. Which system of inequalities can be used to find the possible original prices of a laptop, x, and of a printer, y?​

Answers

The system of inequalities that can be used to find the possible original prices of a laptop, x, and of a printer, y is: x + y ≥ 1050 and 0.8x + 0.9y > 860

How to determine the system of inequalities

Let x be the original price of the laptop and y be the original price of the printer.

So, the discounted price of the laptop is 0.8x and the discounted price of the printer is 0.9y

If the two are purchased together, the total discounted price is:

0.8x + 0.9y

This exceeds $860

0.8x + 0.9y > 860

The original prices of the two together is at least $1,050.

This can be written as:

x + y ≥ 1050

So, we have

x + y ≥ 1050 and 0.8x + 0.9y > 860

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I need help pleasseee ....

I need help pleasseee ....

Answers

Answer:

-4.3

Step-by-step explanation:

thats the slope im 90 percent sure

what term does the dormula sinA/a =sinB/b represent

Answers

Answer:

Law of sines

Step-by-step explanation:

The law of sines is a formula used to find either an angle or side in a non-right triangle.

You have to have at least three parts to use it.

For example, if you have angle A and its side (a) along with angle B, you can use it to find side b.

Hayden plans to take a loan out to buy his Ultimate PC
Gaming Desktop. He will borrow $6,200 from the bank
at a rate of 3.5% annually. The length of the loan will be
5 years. How much interest will Hayden have to pay on
the loan? What is the total that Hayden will have to pay
the bank back?
Give step by step plz

Answers

Answer:

The rate of simple interest for loan was 8%

Step-by-step explanation:

Given

Principal amount = p = $6200

Time = t = 1 year

Amount after interest = $6696

We have to calculate the amount of interest first

So,

Interest amount =I= Amount after interest - principal amount

= 6696-6200

=$496

The formula for simple interest is:

The rate of simple interest for loan was 8%

Keywords: Simple interest, percentage

Learn more about simple interest at:

50 Points! Multiple choice geometry question. Photo attached. Thank you!

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Hi tag brainliest ❣️

Thanks

Since the shaded area equal 4

our answer is A

that is the number of shaded area ÷ the total number of points

-

Lisa buys 3 pints of milk how many cups did Lisa buy?

Answers

Answer:

3 pints = 6 cups

Step-by-step explanation:

Formula: multiply the volume value by 2

Answer:

6 cups

Step-by-step explanation:

1 pint = 2 cups

3 pints = 3x2 cups

3 pints = 6 cups

If this helps please mark as brainliest

What number is missing from the fact family?
4
6
10
16

What number is missing from the fact family?461016

Answers

Answer: I believe it’s 24

Step-by-step explanation: if not sorry

Answer:

Note that 6 is 4 plus 2,  

              10 is 6 plus 4, or 6 plus 2^2

               16 is 10 plus 6

Given the first term, 4, we find the second term by adding 2 to 4, obtaining 6.

Given the 2nd term, 6, we find the third term     by adding 4 to 6, obtaining 10.

Given the 3rd term, 10, we find the fourth term  by adding 6 to 10:  16

What's the next term?  Find the fifth term           by adding 8 to 16:  24 (answer)

Step-by-step explanation:

24 would be the answer hope this helps ya :)

PLEASE I NEED THE ANSWER TO 1 + 1

Answers

Answer:

uhhhhh 3

Step-by-step explanation:

Answer: 2

Step-by-step explanation: I know, hardest question known to man.

what happend if you do rise over run

Answers

PLEASE GIVE BRAINLIEST
thank you and have a good day :)

Answer:

You figure out the slope

Step-by-step explanation:

Rise/Run is a formula that calculates the slope.  This determines the direction of the line and how steep it is.

Answer:

its a math term yw my boy

Step-by-step explanation:

Jamillah took her dog, Tyson, to the vet. Last year, the
difference in his weight from the previous year was -2.1 pounds. This year, the difference in his weight
from last year was 3.4 pounds. What is the difference in Tyson's weight from 2 years ago?
A: 5.5 pounds
B: 1.3 pounds
C: -5.5 pounds
D: -1.3 pounds
Plss I need the answer fast!!

Answers

Answer:

Im pretty sure its b

Step-by-step explanation:

please help me. thank you so much i will give brainliest if it’s right:)

please help me. thank you so much i will give brainliest if its right:)

Answers

Answer:

distance is proportional with time

Step-by-step explanation:

Simplify the expression: 5(n − 6)

Answers

Answer:

5n-30

Step-by-step explanation:

5 times n= 5n. 5 times -6 is -30. 5n-30.

5/10 of a student in Sam's class are girls of the girls 1/5 of them are classes what fraction of the students were glasses using model and check your multiplication

Answers

Answer:

1

Step-by-step explanation:

One, 1, One, 1 One, 1

How to do this problem

How to do this problem

Answers

Answer:

a. geometric series

b. r_n = 100 × (0.75)^n ft

c. 400

Step-by-step explanation:

a.

Start: 100 ft

After 1 hour: 75% of 100ft = 100 ft × 0.75

After 2 hours: 75% of 100ft × 0.75 = 100 ft × 0.75²

After 3 hours: 75% of 100 ft × 0.75² = 100 ft × 0.75³

Notice what is happening to the radius as the hours pass.

With each passing hour, the radius is 0.75 times the previous radius.

Since each new term is the previous term multiplied by a constant, 0.75, this is a geometric series.

b.

At each hour, multiply 100 ft by 0.75 raised to the number of the hour.

a_n = 100 × (0.75)^n ft

The nth term is 100 times 0.75 to the nth power.

c.

The sum of all the radii is the sum of a series that has 100 as its first term, and each subsequent term is 0.75 times the previous term.

r_n = 100(0.75)^n

Since the constant ratio has an absolute value less than 1, the series has a sum.

S = a_1/(1 - r)

S = sum of infinite series

a_1 = first term

r = constant ratio

S = 100/(1 - 0.75)

S = 100/0.25

S = 400

Write the equation for each of the following statements (Each one is worth 10 points): 1) Xavier is nine years younger than Yolanda. 2) Yolanda is seven years older than Zed. 3) The sum of the ages of Xavier and Yolanda is twenty-five.​

Answers

9514 1404 393

Answer:

X = Y -9Y = Z +7X +Y = 25

Step-by-step explanation:

We can let X, Y, and Z represent the ages of Xavier, Yolanda, and Zed, respectively.

1) X = Y -9 . . . . . . Xavier is 9 years younger than Yolanda

2) Y = Z +7 . . . . . Yolanda is 7 years older than Zed

3) X +Y = 25 . . . . the sum of ages of Xavier and Yolanda is 25

_____

Additional comment

The first equation can be substituted into the last to give 2Y-9=25 ⇒ Y=17. The other ages are easily computed once you know this. X=8, Z=10.

Please help! I’ll mark Brainlyest

Please help! Ill mark Brainlyest

Answers

Answer:

3

Step-by-step explanation:

the answer is x=3 because 4x3 = 12 + 1 = 13. there's your answer. please mark me brainliest!!!

-10. represents 10 seconds before the runner finish his first lab 10 represents 10 seconds after the runners finish his first lab what does zero represent in this situation

-10. represents 10 seconds before the runner finish his first lab 10 represents 10 seconds after the

Answers

Answer:

B

Step-by-step explanation:

If -10 is 10 seconds before he finishes his first lap, and 10 is 10 seconds after he finishes his first lap, whats in the middle of that?! 0 of course, so thats when he finishes his first lap.

Answer:

The answer is B

Step-by-step explanation:

You receive 5 bonus points in class Wright an integer to represent that

Answers

Answer:

to represent what-

Step-by-step explanation:

helpppppp:)
Use the graph to write an explicit function to represent the data and determine how much money Shelley earned in week 5.



f(n) = 5(3)n − 1; f(5) = 405
f(n) = 6(3)n − 1; f(5) = 486
f(n) = 6(3)n; f(5) = 1,458
f(n) = 6(3)n + 1; f(5) = 4,374

helpppppp:)Use the graph to write an explicit function to represent the data and determine how much money

Answers

405, 596 is not the answer

Answer:

its 486 is the awnser because it tripling every time do the awnser would be B

Step-by-step explanation:

Dirk draws quadrennial RSTU with the vertices R(-1,2),S(4,2)T(5,-1),and U(-2,-1).Which is the best way to classify the quadrilateral

Answers

The quadrilateral can bet be classified to be a : Trapezium

Meaning of a Trapezium

A trapezium can be defined as a quadrilateral that has four side. It has a pair of parallel sides which are mostly the top and the bottom.

A trapezium is a shape that is made up of a square and two right angled triangle.

So from the vertices given we could see that the top is smaller than the bottom, which will lead to a trapezium when all four points are joined together.

In conclusion, The quadrilateral can bet be classified to be a Trapezium

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Can someone help me with this math problem asap

Can someone help me with this math problem asap

Answers

The absolute value function for this problem is given as follows:

y = |x - 4| - 6.

How to define the absolute value function?

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The coordinates of the vertex of the function are given as follows:

(4, -6).

The slope of 1 determines the leading coefficient a as follows:

a = 1.

Hence the function is given as follows:

y = |x - 4| - 6.

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im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont

Answers

Answer:

he would have a 2/5 chance because he misses or hit three so he would either miss two or hit two according to the chart

Step-by-step explanation:

sry if I'm wrong but it would be one of the most valid answers

Answer:

3/10

Step-by-step explanation:

#2, 7 and 8 are the valid 3 goal trials out of 10

Need help with geometry

Need help with geometry

Answers

Answer:

90 cm3

Step-by-step explanation:

You multiply 2 by 5 which is 10, then by 9 and get 90 cm3

Write the product of 0.4*0.4*0.4 in exponential form

Answers

Answer:

It is 6.4*10^-2.

this is your answer

Answer: 0.4^3
Hope this helps!
Reason: 0.4x0.4x0.4 is the same thing as 0.4^3 but in exponential form.

After a party there is 3/4 of a pizza left. You split it evenly between you and 3 friends. What fraction of a pizza does everyone get?

Answers

Answer:

3/16

Step-by-step explanation:

3/4÷4=3/16

Since there are 4 people, not 3, divide the remaining pizza by 4.

Which expressions are equivalent to 4b

Choose all answers that apply:


b + 2(b + 2b)


3b + b


2(2b)


2(b + 2b) - 4b
ANSWER ASAPP PLSSSSSSSSSSSSSSSSSSSSSSSSSSs

Answers

\(3b+b=4b\\\\2(2b)=4b\\\\\)

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.

The letter selected will be recorded as the outcome.


Consider the following events.


Event X: The letter selected comes before "D".

Event Y : The letter selected is found in the word "CAGE".

Give the outcomes for each of the following events.

If there is more than one element in the set, separate them with commas.

A tile is selected from seven tiles, each labeled with a different letter from the first seven letters

Answers

a) The only outcome that satisfies both events X and Y is the letter C.

b) The outcomes that satisfy either event X or event Y are {A, B, C, E, G}.

c) The complement of event X is {D, E, F, G}.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

The outcomes for each of the following events are:

(a) Event "X and Y": {C}

To satisfy both events X and Y, the letter selected must come before "D" (which includes the letters A, B, and C) and must be one of the letters in the word "CAGE" (which includes only the letter C). Therefore, the only outcome that satisfies both events X and Y is the letter C.

(b) Event "X or Y": {A, B, C, E, G}

The outcomes that satisfy event X are A, B, and C (since they come before "D"), and the outcomes that satisfy event Y are C, A, G, and E (since they are letters found in the word "CAGE"). Therefore, the outcomes that satisfy either event X or event Y are {A, B, C, E, G}.

(c) The complement of event X: {D, E, F, G}

The complement of event X is the set of outcomes that do not satisfy event X. The outcomes that do not satisfy event X are D, E, F, and G (since they come after or are equal to "D"). Therefore, the complement of event X is {D, E, F, G}.

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Determine whether each function described is linear or not. If it is linear, find its slope; if not, provide computations to justify the claim

Determine whether each function described is linear or not. If it is linear, find its slope; if not,

Answers

Recall that a linear function is a function whose graph is a straight line, that is, a polynomial of degree one or zero.

Now, notice that the given function is a polynomial function of degree 1, also notice that is in slope-intercept form:

\(f(x)=mx+b,\)

where m is the slope and (0,b) is the y-intercept.

Therefore, the slope of the given linear function is π.

Answer: The given function is a linear function, and its slope is π.

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