The probability a randomly selected patient will have to wait more than 10 minutes is 0.550.
Given data;
An additional eight minutes are often added to the wait time for people who have appointments with primary care doctors at a specific hospital. Assume that patient wait times are distributed exponentially.
What is the likelihood that a randomly chosen patient will be kept waiting for longer than 10 minutes?
For exponentially distributed we use the formula as;
\(F(x) = 1 - e^-^x^/^\alpha\)
Here, α = 8
x = 10
Now,
\(F(x) = 1 - e^-^x^/^\alpha\)
\(F(x) = 1 - e^-^1^0^/^8\)
\(F(x) = 1 - 0.449\)
\(F(x) = 0.550\)
Hence, the probability that a randomly chosen patient will be kept waiting for longer than 10 minutes is 0.550.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer: hii
1 4/6 Is the Answer I Believe.
Step-by-step explanation:
Hopefully this helps you
- Matthew
Solve for x: 5x+2-10x=22
Answer:
X=-4
Step-by-step explanation:
5x-10x=22-2
-5x=20
x=-4
Arrange set of numbers from greatest to least
650, 649.99, 650.002, 650.02, 649.099, 650.202
Answer:
Numbers from greatest to least (greatest is further up and least is further down)
650.202
650.02
650.002
650
649.99
649.099
Step-by-step explanation:
I looked into the tens places and if they were the same i looked into the decimal points. then i compared from there
Increase each amount by the given percentage: a) 12 kg by 8% b) $75 by 20%
Answer:
a) 12.96 kg
b) $90
Step-by-step explanation:
\(a)\ 12+\frac{12\times 8}{100} =12+0.96=12.96\)
\(b)\ 75+\frac{75\times 20}{100} =75+15=90\)
Answer:
a.) 12.96kg b.) $90
Step-by-step explanation:
increasing 12 by 8%, first find 8 percent of 12,
8/100 x 12, then add that to the original 8
so 8/100 x 12 = 0.96, so increasing 12kg by 0.96kg, we get 12.96 kg
increasing 75 dollars by 20%, or 1/5th, we find 1/5th of 75, then add it onto 75
1/5th of 75 is 15, so 75 + 15 = 90
ILL GIVE BRAINLIEST ! Choose all the expressions that are equivalent to 3(2 + 11) *
32 + 311
3(2) + 3(11)
3(2) + 11
6 + 11
6 + 33
3 + 22
Answer:
6+33 and 3(2)+3(11) are the correct answers.
Step-by-step explanation:
Please someone please help me
The equation of the line shown in the given graph is y = x/2 + 4
Writing the equation of a lineFrom the question, we are to write the equation for the line shown in the graph
To write the equation of the line we will use the two points given on the line, (-2, 3) and (2, 5)
Using the formula,
(y - y₁) / (x - x₁) = (y₂ - y₁) / (x₂ - x₁)
Then,
The equation becomes
(y - 3) / (x - (-2)) = (5 - 3) / (2 - (-2))
(y - 3) / (x + 2) = (5 - 3) / (2 + 2)
(y - 3) / (x + 2) = 2 / 4
(y - 3) / (x + 2) = 1/2
Cross multiplication
2(y - 3) = 1(x + 2)
2y - 6 = x + 2
2y = x + 2 + 6
2y = x + 8
Divide through by 2
y = x/2 + 4
Hence,
The equation is y = x/2 + 4
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what is the difference between 1.28 x 10^5 and 3.2 x 10^4
Answer:
1.92 x 10
Step-by-step explanation:
3.20-1.28=1.92
10^5-10^4=10
=1.92 x 10
Correct me if I'm wrong
Help Hurry pls
You have a rectangular prism cake with dimensions of 16 inches long, 12 inches wide and 3 inches tall. If we keep the height of 3 inches, what does the width of a round cake need to be to keep the same volume? (A round cake is a cylinder with a height of 3)
The width of the round cake needs to be approximately 2 times the radius, or about 15.6 inches, to have the same volume as the rectangular prism cake.
What is rectangular prism and cylinder?A three-dimensional structure with six rectangular faces that are parallel and congruent together is called a rectangular prism. It has a length, width, and height. By multiplying the length, width, and height together, one may get the volume. Contrarily, a cylinder is a three-dimensional shape with two congruent and parallel circular bases. It has a height and a radius, and you can determine its volume by dividing the base's surface area by the object's height. A cylinder has curved edges and no corners while a rectangular prism has straight edges and corners.
The volume of the rectangular cake is given as:
V = length * width * height
Substituting the values we have:
16 * 12 * 3 = 576 cubic inches
Now, for the cylindrical cake to be of the same volume we have:
V = π * radius² * height
π * radius² * 3 = 576
(3.14) * radius² * 3 = 576
radius = 15.6 inches
Hence, the width of the round cake needs to be approximately 2 times the radius, or about 15.6 inches, to have the same volume as the rectangular prism cake.
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hurry up pls!!!!!!! How can shaded regions on a graph model inequalities?
What are all the exasperations that are equivalent to 4y+12
There are many expressions that are equivalent to 4y + 12, which can be obtained by using algebraic operations to manipulate the expression while maintaining its value. Here are a few examples:
12 + 4y
2(2y + 6)
4(y + 3)
8y/2 + 12
4(y + 3) - 3y + y
2(2y + 6) + 2(y - 3)
4y + 9 + 3
4y - 4 + 16
These are just a few examples. There are many other expressions that are equivalent to 4y + 12, depending on what operations you apply and how you choose to represent them.
In mathematics, an expression is a combination of mathematical symbols, numbers, and/or variables, that represents a value or a relationship between values. It may include arithmetic operations such as addition, subtraction, multiplication, and division, as well as algebraic operations such as powers, roots, and logarithms.
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If the ratio of areas of two similar hexagons are to each other as 5: 2, and one side of the first hexagon is 25, what is the corresponding side in the other hexagon? (Round your answer to two decimal places.)
A. 3.16
B. 10.00
C. 15.81
D. 250.00
The corresponding side in the other Hexagon will be 15.81.
What is Hexagon?
In geometry, a hexagon is a six-sided polygon. Each internal angle and the side length of a regular hexagon are both 120 degrees. The formula used to determine the area of a regular hexagon is:
Area = 3 \(\sqrt{3}\)/2 * \(side^{2}\)
Each internal angle in an irregular hexagon can be greater than or less than 120 degrees, and the sides are uneven in length.
In our question it is given that the ratio of the area of two similar hexagons is 5:2. This indicates that the sides' square ratio is 5: 2.
Let x represent the corresponding side in the opposite hexagon.
Then, \(25^{2}\) : \(x^{2}\) = 5:2
= 625/\(x^{2}\) = 5/2
= \(x^{2}\) = (625 *2)/5
= \(x^{2}\) = 250
= x = \(\sqrt{250}\)
= x = 15.81 approx
Therefore, the corresponding side in the other hexagon will be 15.81.
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how do u do thissss??
reflect this shape in the line y=x :)
Answer:
the x-coordinate and y-coordinate change places.
Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).
a restaurant offers two kinds of appetizers, four kinds of main courses, and five kinds of dessert.
how many different three-course meals can be made
The number of different three-course meal that can be made is 40
Using Combination PrincipleThe number of different three-course meals that can be made is a combinations of the available options.
Number of options for appetizers = 2
Number of options for main courses = 4
Number of options for desserts = 5
Multiply the number of options for each course together:
Total number of different three-course meals = Number of options for appetizers × Number of options for main courses × Number of options for desserts
Total number of different three-course meals = 2 × 4 × 5 = 40
Hence, there are 40 different three-course meals that can be made using the available options.
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Write the algebraic expression that represents the following: The difference of thirteen and a number
\(\Large\texttt{Answer}\)
\(\bold{n-13}\)
\(\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}\)
\(\Large\texttt{Process}\)
⇨ Again letting n be the number
\(\bold{n}\)
⇨ Subtract 13 from n
\(\bold{n-13}\)
*unlike addition, the order DOES matter, because
\(\bold{n-13\ne 13-n}\)
Hope that helped
How to tell if a function is exponential.
Answer:
It is when it has factors and can be multiplied
A car traveled at an average speed of 60 mph for two hours. how far did it travel? responses 30 miles 30 miles 60 miles 60 miles 120 miles 120 miles 150 miles
Answer: 120 miles
Step-by-step explanation:
If a car goes 60 miles per hour then in two hours (60×2) it will go 120
And now I need help with this one to:)
Answer:
See below.
Step-by-step explanation:
∠3 and ∠7 = Corresponding Angles
∠4 and ∠5 = Alternate Interior Angles
∠1 and ∠2 = Supplementary Angles
∠3 and ∠6 = Alternate Interior Angles
Nate wants to visit his friend max before going to the park. Nates house is located at (-2,4), while the park is located at (10,2) find the location of macs house if it’s 1/2 of the distance from Nates house to the park
Answer:
(5,1)
Step-by-step explanation:
if macs house if it’s 1/2 of the distance from Nate house to the park then half the distance of 10,2 is 5,1
The required coordinate of the max location is (4, 3).
Given that,
Nate wants to visit his friend max before going to the park. Nate's house is located at (-2,4), while the park is located at (10,2).
To find the location of macs house if it’s 1/2 of the distance from Nate's house to the park.
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
Max lies 1/2 the distance of Nate and Park,
Location of max is given by,
= 10 - 2 / 2 and 4 + 2 / 2
= 8 / 2 and 6 / 2
= 4 and 3
Location of max is (4, 3)
Thus, the required coordinate of the max location is (4, 3).
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A $0.25 \mathrm{~kg}$ stone is held $11 \mathrm{~m}$ above the top edge of a water well and then dropped in. The well has a depth of $7.3 \mathrm{~m}$. Taking $y=0$ at the top edge of the well, calculate
(a) the gravitational potential energy of the stone-Earth system before the stone is released
(b) the gravitational potential energy of the stone-Earth system after the stone reaches the bottom of the well
(c) the change in gravitational potential energy of the system from when the stone is released to when it reaches the bottom of the well.
The gravitational potential energy of the stone-Earth system can be calculated before the stone is released, after it reaches the bottom of the well, and the change in gravitational potential energy during the process.
Gravitational potential energy is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.
(a) Before the stone is released, it is held 11 m above the top edge of the well. The mass of the stone is 0.25 kg, and the acceleration due to gravity is approximately 9.8 m/s². Using the formula, the gravitational potential energy is calculated as PE = (0.25 kg)(9.8 m/s²)(11 m).
(b) After the stone reaches the bottom of the well, its height is 7.3 m. Using the same formula, the gravitational potential energy at this point is given by PE = (0.25 kg)(9.8 m/s²)(7.3 m).
(c) The change in gravitational potential energy can be determined by subtracting the initial potential energy from the final potential energy. The change in gravitational potential energy is equal to the gravitational potential energy after reaching the bottom of the well minus the gravitational potential energy before the stone was released.
By calculating these values, we can determine the specific numerical values for (a), (b), and (c) based on the given data.
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A small coffee shop has a single barista. Because the shop issmall, there are no tables or chairs. Consequently, customers wait in a single line to order and receive their coffee and leave the shop as soon as their order is received. Customers arrive at the shop at the rate of 20 per hour. It is estimated that the baristaneeds, on average, 90 seconds (exponentially distributed) to serve each customer.
a. The average server utilization is ?????? (Enter your response rounded to two decimal places.)
b. The average line length in the coffee shop is ???????customer(s). (Enter your response rounded to two decimalplaces.
c.. The average time spent in line is ????? minute(s). (Enter your response rounded to one decimal place.)
d.The average number of customers in the coffee shop is ??????(Enter your response rounded to one decimal place.)
e. The average time spent by customers in the coffee shop(includes waiting time and service time) is ?????
a. the server utilization can be calculated as (2/3)/(1/3) = 2/3 = 0.67, or 67% when expressed as a percentage.
b.) the average line length is (1/3) * 3 = 1 customer.
c.)The average time spent in line is 3 minutes.
d.)The average number of customers in the coffee shop is 10 customers.
e.)The average time spent by customers in the coffee shop (including waiting time and service time) is 6 minutes.
a. The average server utilization is 75%.
To calculate the average server utilization, we need to determine the proportion of time the server is busy serving customers. In this case, the average service time is given as 90 seconds per customer. Since there are 60 minutes in an hour, the server can serve (60/90) = 2/3 customers per minute.
The arrival rate of customers is 20 per hour. Converting this to minutes, we have an arrival rate of 20/60 = 1/3 customers per minute.
Therefore, the server utilization can be calculated as (2/3)/(1/3) = 2/3 = 0.67, or 67% when expressed as a percentage.
b. The average line length in the coffee shop is 10 customers.
To calculate the average line length, we can use Little's Law, which states that the average number of customers in a system is equal to the arrival rate multiplied by the average time spent in the system.
The arrival rate is given as 20 customers per hour, which can be converted to 1/3 customers per minute.
The average time spent in the system is the sum of the average waiting time and the average service time. The average service time is given as 90 seconds, and the average waiting time can be calculated using the formula 1/(μ - λ), where μ is the service rate (2/3 customers per minute) and λ is the arrival rate (1/3 customers per minute). Therefore, the average waiting time is 1/(2/3 - 1/3) = 3 minutes.
Using Little's Law, the average line length is (1/3) * 3 = 1 customer.
c. The average time spent in line is 3 minutes.
As calculated in part b, the average waiting time in the line is 3 minutes. This represents the average time customers spend waiting in line before being served.
d. The average number of customers in the coffee shop is 10 customers.
Using Little's Law, as explained in part b, the average number of customers in the system is equal to the arrival rate multiplied by the average time spent in the system. Therefore, the average number of customers in the coffee shop is (1/3) * 3 = 1 customer.
e. The average time spent by customers in the coffee shop (including waiting time and service time) is 6 minutes.
To calculate the average time spent by customers in the coffee shop, we add the average waiting time (3 minutes) and the average service time (90 seconds, which is 1.5 minutes) together. Therefore, the average time spent by customers in the coffee shop is 3 + 1.5 = 4.5 minutes.
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Solve
x2 + x - 56 = 0
The answer would be 2x1=x so x would be 2
Step-by-step explanation:
Answer:
x = 7, - 8
Step-by-step explanation:
x^2 + x - 56 = 0
x^2 + 8x - 7x - 56 = 0
x ( x + 8 ) - 7 ( x + 8 ) = 0
( x - 7 ) ( x + 8 ) = 0
x - 7 = 0
x = 7
x + 8 = 0
x = - 8
question halp me plss
Answer:
-25
Step-by-step explanation:
when b = 6
sub b = 6 into b^2-9b-7
6^2-9(6)-7
36-54-7
36-61
-25
It is in the picture Thanks :D
Answer and Step-by-step explanation:
P is less than -1 (P < -1) is the answer.
P on the line is shown to be in between -2 and -1. This means that P has to be greater than -2, and also be less than -1.
Less than -1 is an option, so that is the answer.
#teamtrees #WAP (Water And Plant)
What will be the values of x and y as a result of the following code? int x = 25, y = 8; x = y; x = 25, y = 8 x = 34, y = 8 x = 33, y = 8 x = 34, y = 9
The values of x and y as a result of the code are 8 and 8
How to determine the values of x and y as a result of the code?The code is given as:
int x = 25, y = 8;
x = y;
At the first line, we have
x= 25 and y = 8
On the second line, where we have
x = y
This means that
x = 8 and y = 8
Hence, the values of x and y as a result of the code are 8 and 8
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in 2000 about 29% of the foreign visitors to the u.s. were from canada. if a particular hotel had 150000 foreign guests in one year, how many would you predict were from canada?
If 29% of foreign visitors to the U.S. were from Canada in 2000, we can assume that 29% of the 150000 foreign guests at the hotel were also from Canada. To find out how many guests that would be, we can multiply 150000 by 0.29 (which is the decimal form of 29%).
This gives us a predicted number of 43,500 guests from Canada.
In 2000, about 29% of foreign visitors to the U.S. were from Canada. If a particular hotel had 150,000 foreign guests in one year, to predict how many were from Canada, you would multiply the total number of foreign guests by the percentage of visitors from Canada.
In this case, 150,000 guests * 0.29 (29%) equals 43,500. Therefore, you would predict that approximately 43,500 guests at the hotel were from Canada.
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A farmer wants to fence an area of 37.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minimize the cost of the fence? nt (smaller value) (larger value)
To minimize the cost of the fence, we need to find the dimensions of the rectangular field that will result in the smallest perimeter. Let's assume the length of the rectangle is x feet.
Since we want to divide the field in half with a fence parallel to one of the sides, the width of the rectangle will also be x feet.
The area of the rectangular field is given as 37.5 million square feet, so we have the equation x * x = 37.5 million.
Simplifying, we find x² = 37.5 million.
To minimize the cost, we need to minimize the perimeter of the rectangular field. The perimeter is given by P = 2x + 2x = 4x.
Using the equation x² = 37.5 million, we can solve for x by taking the square root of both sides. This gives us x = √(37.5 million).
Substituting this value of x into the perimeter equation, we get P = 4 * √(37.5 million).
Therefore, the lengths of the sides of the rectangular field that will minimize the cost of the fence are √(37.5 million) feet and √(37.5 million) feet.
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Find the reference angle for the angle
37pie/6
AE = 9 , EC = 4 , and DB = 7.
How do i find the length of AD?
Answer:
AD=6
Step-by-step explanation:
AE = 9
EC = 4
9+4 = 13
DB = 7
13-7 = 6
AD = 6
For 30 minutes you do a combination of walking and jogging. At the end of your workout your pedometer displays a total of 2.5 miles. You know that you walk .05 miles per minute and jog .1 miles per minute. For how much time were you walking
urgent please help ....................
Factorize: tan²A - tanA - 30
There is no. 30, so we need a factor for 30.In middle term, there is ( tan A ), so we need those factors whose difference can be 1.So, there are multiple factors for 30. such as: 1,2,3,5,6,10,15 and 30.So, these are the factors of 30. We need the difference 1. Hence, 6 and 5 are best factors for it to make difference 1.So mate, Kindly refer through the above attachment for it. Ans: ( tanA + 5 )( tanA ‐ 6 ). If you like my answer, then give a thanks ❤ and 5.0 star vote ⭐. ( And Brainliest ).