People enter a gambling casino at a rate of 1 every 2 minutes. What is the probability that:
(a) No one enters between 12:00 and 12:05?
(b) At least 4 people enter the casino during that time?
(c) At least one person entered the casino in each of at least 3 of these 5 minutes?
Answers
(a) To find the probability that no one enters the casino between 12:00 and 12:05, we can use the Poisson distribution, where λ = the expected number of arrivals during the given time interval. In this case, λ = (1/2) x 5 = 2.5 (since the rate is 1 person every 2 minutes, and the time interval is 5 minutes). Therefore, the probability of no one entering during this time is:
P(0 arrivals) = (e^(-2.5) x 2.5^0) / 0! ≈ 0.0821
(b) To find the probability that at least 4 people enter the casino during the 5-minute interval, we can again use the Poisson distribution. We want to find the probability of 4, 5, or more arrivals, so we can add up the probabilities of each of these events. Using λ = 2.5 again, we get:
P(4 arrivals or more) = P(X ≥ 4) = Σ(2.5^k x e^-2.5 / k!) from k=4 to infinity
Using a calculator or computer program, we can find that P(X ≥ 4) ≈ 0.0363.
(c) To find the probability that at least one person entered the casino in each of at least 3 of these 5 minutes, we can use the inclusion-exclusion principle. First, we find the probability that at least one person entered the casino during all 5 minutes:
P(5 arrivals) = (e^(-2.5) x 2.5^5) / 5! ≈ 0.0088
Next, we find the probability that at least one person entered during exactly
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Related Questions
Brandy receives two credit card offers in the mail.
Credit Card A: 0% introductory APR for six months, 18% APR after the introductory period, annual membership fees: $35, late fees: $29.
Credit Card B: 11% APR, annual membership fees: $0, late fees: $35.
What would be a valid reason for Brandy to choose one card over the other?
Select the best answer from the choices provided.
Brandy chooses Credit Card B because if she is late with a payment, she will not have to pay a late fee.
B. Brandy chooses Credit Card A because after the introductory period, she will not have to pay the annual membership fees
Brandy chooses Credit Card A because if she is late with a payment, she will not have to pay a late fee during the introductory
period.
Brandy chooses Credit Card B because she will not have to pay an annual membership fee
Answers
The best answer is Brandy chooses Credit Card B because she will not have to pay an annual membership fee.
What is payment?Payment is the transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. It is also known as remittance or consideration. Payments can be made in a variety of ways, including cash, debit/credit cards, checks, money orders, and digital payment systems. Payment can also take place in kind, such as through bartering or trade. The payment process is an important part of the financial system, as it facilitates transactions between buyers and sellers.
This is an important factor to consider because it can help Brandy save money in the long run. By choosing Credit Card B, she is able to avoid the additional expense of paying an annual membership fee which can add up over time. In addition, she does not have to worry about paying a late fee if she is late with a payment, making this the most financially beneficial option for her.
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How can I find the zero while factoring for the equation I circled?
Answers
Answer:
Below
Step-by-step explanation:
x^2 -x + 1 Use Quadratic Formula a = 1 b = -1 c = 1
to find zeroes 1/2 ± i sqrt(3) / 3
Sooo.... Not sure you could find it by factoring:
(x -1/2 +i sqrt(3) /2) (x - 1/2 - i sqrt (3)/2) would be hard to see !!
toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?
Answers
The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.
Amount of water that the bottle can hold = 32 ounces
Bottles of water consumed = 2
A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.
Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -
= w > 2 × 32
Therefore,
Simplifying the right side of the inequality:
w > 64
Complete Question:
Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?
a. w>2
b. 32<w
c. w = 64
d. 64<w
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If Canada were to stop accepting immigrants, the population would begin to decrease by 0.5% per year. Canada’s population is currently 35, 687 699. If it stopped accepting new immigrants today, what would the population be in 50 years?
Answers
The population after 50 years will be 26,765,774.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
The current population of Canada=35,687,699.
As per given condition the population is decreasing 0.5% per year,
So after 50 year the population will decrease =50×0.5%=25%
After 50 year the 25% population will decrease, and 75% will remain.
The remaining population = 35,687,699×75/100=26,765,774.
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329,444,000,777,234 in words
Answers
Step-by-step explanation:
Three hundred and twenty nine trillion four hundred and fourty four billion seven hundred and seventy seven thousand two hundred and thrity four
Answer:
Look at the attachment
Solve for x.
5x−2(x+1)=1/4
Answers
Answer: 3/4
Step-by-step explanation:
Let's start with what we know. We have:
5x - 2x - 2 = 1/4
We multiply everything by 4:
12x - 8 = 1
We add 8 to both sides:
12x = 9
We divide by 12:
x = 9/12
We simplify:
x = 3/4
When 9 times a number is increased by 30 the answer is the same when 140 is decreased by the number find the number
Answers
Answer:
The unknown number = 11
Step-by-step explanation:
Let
The unknown number = x
9 times a number is increased by 30
= 9x + 30
140 is decreased by the number
= 140 - x
9x + 30 = 140 - x
Collect like terms
9x + x = 140 - 30
10x = 110
x = 110 / 10
x = 11
Check:
9x + 30
9(11) + 30
= 99 + 30
= 129
140 - x
= 140 - 11
= 129
Sten thinks of a number and gives his friends some clues about it. "My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time." Which choice is Sten's number? A. 735,619 B. 423,006 C.958,598 D.517,996
Answers
Answer:
Option D.
Step-by-step explanation:
Sten thinks of a number and gives his friends some clues about it.
"My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time."
Number Nearest ten Nearest Hundred Nearest thousand
A. 735,619 735,620 735,600 736,000
B. 423,006 423,010 423,000 423,000
C.958,598 958,600 958,600 959,000
D.517,996 518,000 518,000 518,000
The number 517,996 gives same values after rounded to the nearest ten, nearest hundred, and nearest thousand.
Therefore, the correct option is D.
What's the product of (3x^2y)*(-4xy^3)
Answers
Hi , the product of 3x2y times -4xy3 is: Multiply the coefficients, 3 * -4, or -12 Add the x exponents, 2 + 1, or 3 Add the y exponents, 1 + 3, or 4 Put them together, -12x3y4 Questions?
Use the given values of n and p to find the minimum usual value μ − 2σ and the
maximum usual value μ + 2σ. Round your answer to the nearest hundredth unless
otherwise noted.
n = 261, p =1/5
Minimum: 65.12; maximum: 39.28
Minimum: 39.28; maximum: 65.12
Minimum: 45.74; maximum: 58.66
Minimum: 43.06; maximum: 61.34
Answers
After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.
A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).
Inputting n = 261 and p = 1/5 results in:
μ = np = 261 × 1/5 = 52.2
5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)
Calculating the minimal typical value of 2 is as follows:
μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64
The calculation for the maximum typical value + 2 is as follows:
μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76
These values are rounded to the nearest hundredth, giving us:
The range is 41.64 to 62.76.
As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
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Answer:
Minimum: 39.28; maximum: 65.12
Circle A has center of (2, 3) and a radius of 5, and circle B has a center of (1, 4) and a radius of 10. What steps will help show that circle A is similar to circle B?
Dilate circle A by a scale factor of 2.
Translate circle A using the rule (x + 1, y − 1).
Rotate circle A 180° about the center.
Reflect circle A over the y-axis.
Answers
Answer:
A
Step-by-step explanation:
To show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have two circles:
Circle A has a center of (2, 3) and a radius of 5
Circle B has a center of (1, 4) and a radius of 10
The standard circle's equation can be written as:
(x - h)² + (y - k)² = r²
The equation for circle A:
(x - 2)² + (y - 3)² = 5²
The equation for circle B:
(x - 1)² + (y - 4)² = 10²
To show that circle A is similar to circle B:
It is required to perform the geometric transformation:
Dilate circle A by a scale factor of 2.
The radius of circle A is 5 units and after dilation by a scale factor of 2, the radius of the circle becomes 10 which is the radius of circle B.
Thus, to show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.
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Find slope and y-intercept
Answers
Answer:
Slope: 8/5
Y-int: (0, -4)
Step-by-step explanation:
The line intersects the y-axis at the point (0, -4). Therefore (0,-4) is the y-intercept.
For the slope, two points are (0, -4) and (5,4)
Using the formula (y2 - y1) / (x2 - x1), we get (4 - (-4)) / 5 = 8/5. Therefore, the slope is 8/5.
2. The sum of the roots of a quadratic equation is -5. If
one of the roots isz, how would you determine the
equation? Write the equation.
Answers
Answer:
plz leave answer choices plz and thank you i tried but im very sorry i wrong question
Step-by-step explanation:
Your search - Mathematics 15 seconds ago +15 pts 2. The sum of the roots of a quadratic equation is -5. If ... - did not match any documents.
Suggestions:
Make sure all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
Mr. Jones eats out at his favorite buffet restaurant every Friday night. If the cost is $9 and he budgets $42 for the month, how many times will he be able to eat at this restaurant?
Answers
Mr. Jones will be able to eat at the buffet restaurant approximately 4 times in a month.
To determine how many times Mr. Jones will be able to eat at the buffet restaurant based on his budget, we need to divide his monthly budget by the cost per visit.
Mr. Jones budgets $42 for the month, and the cost per visit is $9.
Number of visits = Monthly budget / Cost per visit
= $42 / $9
≈ 4.67
Since we cannot have a fractional number of visits, we round down to the nearest whole number because Mr. Jones cannot have a partial visit. Therefore,
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Jason and Mary will usually both run 4 miles each time they go running. This month, Jason ran an additional 15 miles. Which answer choice shows an expression that represents the total distance Jason and Mary ran this month if J = the number of times that Jason ran and m = the number of times that Mary ran? Answer Choices: 4j+4m+15, 8j + 8m + 15, 19j + 19m, 4j +19. Please answer if you know
Answers
Answer:
4j+4m+15
Step-by-step explanation:
jason+mary= 4 miles which= 4j+4m
jason ran additional 15 miles= +15
Find the length of the segment JK in the parallelogram below.
Answers
Answer:
24
Step-by-step explanation:
knowing a parallelogram, JK = ML
so,
14 + 2x = 5x – 1
2x – 5x = –14 –1
–3x = –15
3x = 15
x = 5
substitute x=5 into 14 + 2x
14 + 2(5) = 24
Determine whether each of these statements is true or false.a) 0 ∈ ∅ b) ∅∈{0}c) {0}⊂∅ d) ∅⊂{0}e) {0}∈{0} f ) {0}⊂{0}g) {∅} ⊆ {∅}
Answers
a) True, b) False, c) False, d) True, e) False, f) False, g) True
a) The statement is true. The symbol "∅" represents the empty set, which does not contain any elements. Since 0 is not an element of the empty set, the statement "0 ∈ ∅" is false.
b) The statement is false. The symbol "{0}" represents a set containing the element 0. The empty set, represented by "∅", does not contain any elements. Therefore, the empty set is not an element of the set {0}.
c) The statement is false. The symbol "{0}" represents a set containing the element 0. However, the empty set, represented by "∅", does not contain any elements. Therefore, the set {0} is not a subset of the empty set.
d) The statement is true. The empty set, represented by "∅", does not contain any elements. Every set is a subset of the empty set, including the set {0}.
e) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not an element of itself. Therefore, the statement "{0}∈{0}" is false.
f) The statement is false. The symbol "{0}" represents a set containing the element 0. In this case, {0} is not a proper subset of itself. Therefore, the statement "{0}⊂{0}" is false.
g) The statement is true. The symbol "{∅}" represents a set containing the empty set. In this case, {∅} is a subset of itself because it contains the element ∅. Therefore, the statement "{∅} ⊆ {∅}" is true.
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The area of the shaded sector of circle H is 32.
16
H
What is the area of the unshaded sector?
967
O 2247
32871
O 34571
Answers
Answer:
B
Step-by-step explanation:
Area of shaded region + Area of unshaded region = Area of circle
Area of the unshaded sector=256*pi-32*pi=224*pi
Answer:
radius Is 16
total area becomes pi r ^ 2 = 16^2 pi = 256pi
remaining area becomes
256 pi - 32 pi = 224 pi option b
brainliest pls
What is the midpoint of the segment shown below?
Answers
Answer:
answer is c (0,2)
hope it helps
-1 1/3 - 1/6 subtract using number line
Answers
The addition of the two negative numbers has a result of -3/2, and is illustrated on the number line given at the end of the answer.
How to add two negative numbers?To add two negative numbers, we keep the negative signal and then we add the quantities, that are represented by the numbers without the signal.
For this problem, the numbers are given as follows:
-4/3, which is the mixed number -1 and 1/3, given by -1 - 1/3 = -3/3 - 1/3 = -4/3.The fraction -1/6.Hence the addition of the negative numbers is given as follows:
-4/3 - 1/6 = -8/6 - 1/6 = -9/6 = -3/2.
The result is of -3/2.
As for the number line, we have two negative numbers, hence each increment is to the left of the number line. The sum of the two increments, starting at zero, of 1/6 and of 4/3, combine to 3/2, as given by the image at the end of the answer.
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Which command to produce the normal quantile plot of the data set x in R? a. >ppnorm(x) > ppline(x) b. >qqnorm(x) > ppline(x) c. >ppnorm(x)>qgline(x) d. >qqnorm(x) > qqline(x)
Answers
Answer:
The command to produce the normal quantile plot of the data set x in R is d. >qqnorm(x) >qqline(x).
The normal quantile plot is a graphical method used to assess whether a set of data is approximately normally distributed. In R, the qqnorm() function is used to create the normal quantile plot of the data set, x. This function plots the quantiles of the data against the expected quantiles of a normal distribution. If the data are normally distributed, the points on the plot will fall along a straight line. The qqline() function is used to add a reference line to the plot, which makes it easier to see deviations from the straight line. Therefore, option d, >qqnorm(x) >qqline(x), is the correct command to produce the normal quantile plot of the data set x in R.
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11 Finding a difference quotient for a linear or quadratic function V Find the difference quotient f(x)=-3x²-2x+5 Simplify your answer as much as possible. f(x +h)-f(x) h f(x+h)-f(x) h = ( where h#0,
Answers
The difference quotient for the given function is 9 -2/h.
The difference quotient for the given function can be calculated as:
[f(x+h) - f(x)]/h
= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h
= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h
= (6xh + 3h² - 2h)/h
= (6x + 3h -2)/h
Simplifying the expression further, we get:
(6x + 3h -2)/h = 6 + 3h/h -2/h
= 6 + 3 -2/h
= 9-2/h
Therefore, the difference quotient for the given function is 9 -2/h.
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"Your question is incomplete, probably the complete question/missing part is:"
Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.
f(x)=3x² -2x+5. Simplify your answer as much as possible.
Plot the vertex and the axis of symmetry of this function on a graph.
f(x) = (x + 2)2 − 6
Answers
Answer:
there.......... ....... ...a
Select the correct choice. To apply the CLT, the typical rule of thumb for setting sample size is greater than or equal to what?
Answers
Answer:
Step-by-step explanation:
30
If BC = 2x, CD = 7x, and BD = 9, what is CD?
Answers
Answer: 18
Step-by-step explanation:
2(9)=18
Practice #2a
Determine the value of n. Show you work below or on
the diagram.
T
Do not put the units with your answer just the value
Check answer
9cm
12cm
Answers
Answer:
answer of n is 15 by pythagoras theorem
Step-by-step explanation:
n is a hypotenuse
\( \sqrt{ {12}^{2} + {9}^{2} } = 15\)
The diameter of the sun is about is about 1 390 000 km;
use scientific
notation to represent this diameter.
Answers
Answer:
1.39×10^6
Step-by-step explanation:
Hide 1 then count how many numbers are after it(6 numbers), that will be the power/exponent you will use
Can someone help me please!!!
Answers
Can someone tell me a good definition for “Annuity” please?
Answers
Answer:
an annuity is a type of retirement income product that you buy with some or all of your pension pot. it pays a regular retirement income either for life or for a set period. (hope this is a decent answer lol)
Step-by-step explanation:
Answer:
An annuity is a contract between you and an insurance company in which you make a lump-sum payment or series of payments and, in return, receive regular disbursements, beginning either immediately or at some point in the future.
Step-by-step explanation:
Graph f(x) = 4[x] + 5
Answers
Step-by-step explanation:
slope is 4, y-intercept is (0,5)
![Graph f(x) = 4[x] + 5](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/np7LCqyNeW2KZemZ27zYGBgKRPcSguMi.png)
The graph of function f(x) = 4[x] + 5 described below
The given function is
f(x) = 4[x] + 5
Here [ ] represents greatest integer function
We know that
The greatest integer function is one that returns an integer that is closer to the provided actual value.
It is also known as the step function.
The biggest integer function returns the nearest integer to the provided number.
As a result, the formula for finding the biggest integer is rather straightforward.
It is denoted by the symbol [x], where x can be any value.
Now plotting the graph of function.
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![Graph f(x) = 4[x] + 5](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/s6e7omRvQa14Yr0Y89HW6CFz9D1U3S1L.jpeg)