in the past year there were 30 days on which accidents occurred along a certain stretch of highway 101. assume that the probability that an accident occurs on any one day is 30/365 and that each day is independent of the others. what is the probability that there will be no accidents during the first 2 weeks of january?

Answers

Answer 1

The probability that there will be no accidents during the first 2 weeks of January is calculated to be approximately 0.778 or 77.8%.

The first two weeks of January consist of 14 days, so we want to find the probability that no accidents occur in 14 days given that the probability of an accident occurring on any given day is 30/365. We can use the binomial distribution to solve this problem.

Let X be the number of accidents in 14 days. Then X follows a binomial distribution with n = 14 and p = 30/365. The probability of no accidents in 14 days is P(X = 0), which is given by the formula:

P(X = 0) = (n choose 0) x p⁰ x (1-p)⁽ⁿ⁻⁰⁾

where "n choose 0" is the number of ways to choose 0 accidents out of n days, which is simply 1.

Substituting n = 14 and p = 30/365, we get:

P(X = 0) = (1) x (30/365)⁰ x (1 - 30/365)⁽¹⁴⁻⁰⁾ ≈ 0.778

Therefore, the probability that there will be no accidents during the first 2 weeks of January is approximately 0.778 or 77.8%.

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Related Questions

can someone help me on this? Will give brainlist.​

can someone help me on this? Will give brainlist.

Answers

Answer:

960????

Step-by-step explanation:

this may be wrong, but its an answer ;;v;;

the formula is:

b * h * length * 0.5

A father is buying cheeseburgers for his children. Each cheeseburger costs $3.50. He spends $17.50 on cheeseburgers. How many cheeseburgers did he buy?

Answers

Answer:

5

Step-by-step explanation:

If you divide 17.50 by 3.50 you'll get 5.

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The data value that occurs most often in the data set is the ____________.
A. mean
B. median
C. mode
D. range

Answers

The answer is C. Mode
ANSWER: Mode (C)

EXPLANATION:
In order to understand which one of these mean the data value the occurs the most, you need to know the definition for these basic math terms.

Mean= Average of All Numbers Given
Median= Middle Number (From Least to Greatest)
Mode= Number That Occurs the Most
Range= The Subtraction of the Smallest Number to the Biggest Number

URGENT PLEASE HELP 50 POINTS AND WILL NAME BRAINLIEST An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the diameter is 2 in. The diameter of each scoop is 3 in. Assume the cone is stuffed full with ice cream. single is $3.50, double is $4.50, and triple is $5.50 Create a table showing the total cost of each size, the total volume of ice cream for each size, and the unit cost (per unit volume) of each size. Include units with your table entries. you dont have to create the table, but i really need the values!

Answers

Are you allowed to use a calculator?

how can I slove for Q?

how can I slove for Q?

Answers

The value of Q is 78

Given that the three internal angles of the triangle are,

P = 3x + 8

Q = 2x

R = 67

Sum of all the internals angles in a triangle = 180

i.e., P + Q + R = 180

Substitute the given values in above equation. We get,

(3x+ 8) + 2x + 67 = 180

3x + 2x + 8 + 67 = 180

5x + 75 = 180

5x = 180 -75 = 105

i.e., x = 105/5 = 39

Now,

P = 3x + 8 = 3(39) + 8

So, P = 117

Q = 2x = 2(39)

So, Q = 78

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please help me with math

please help me with math

Answers

Answer:

Step-by-step explanation:

4.44 i think

26.94 i think

Answer:

1. 44.44 2. 26.94

Step-by-step explanation:

1. Just subtract for both

Find the Laplace transform where of the function f(t) =
{ t, 0 < t < {π + t π < t < 2π where f(t + 2 π) = f(t).

Answers

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

Given function is,f(t) ={ t, 0 < t < π π < t < 2π}

where f(t + 2 π) = f(t)

Let's take Laplace Transform of f(t)

                     L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)

∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}

     ⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0

when e^{2πs} ≠ 1 ⇒ s ≠ 0

∴ The Laplace Transform of f(t) is

                       L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                               = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...

                              = (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

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Martez, Jadah and Roana are collecting donations for Riley Children's Hospital. Together they collected a total of $73. Martez collected five more dollars than Jadah. Roana collected seven less than three times as much money as Jadah. write a variable to represent the situation

Answers

Answer:

The variable expression equation of the situation is;

x + 5 + x + 3·x - 7 = $73

The amount of money Jadah collects = $15

The amount of money Martez collects = $20

The amount of money Roana collects = $38

Step-by-step explanation:

The given parameters are;

The total amount of money they collect together = $73

The amount of money Martez collects = 5 + The amount of money Jadah collects

The amount of money Roana collects = 3 × The amount of money Jadah collects - 7

Let x represent the amount of money Jadah collects

Therefore, we have;

The amount of money Martez collects = 5 + x

The amount of money Roana collects = 3 × x - 7

The variable expression equation of the situation is given as follows;

The total amount of money the three collected = x + 5 + x + 3 × x - 7 = $73

∴ 5 × x - 2 = $73

5 × x - 2 = 73

5 × x  = 73 + 2 = 75

x = 75/5 = 15

x = 15

The amount of money Jadah collects = x = $15

The amount of money Martez collects = 5 + x = 5 + 15 = 20

The amount of money Martez collects = $20

The amount of money Roana collects = 3 × x - 7 = 3 × 15 - 7 = 38

The amount of money Roana collects = $38

Shaquana is younger than Alonso. Their ages are consecutive odd integers. Find Shaquana's age if the sum of the square of Shaquana's age and 2 times Alonso's age is 39.

Answers

Shaquana's age will be equal to 5 years for the given data.


What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that Shaquana is younger than Alonso. Their ages are consecutive odd integers. Shaquana's age if the sum of the square of Shaquana's age and 2 times Alonso's age is 39.

Let Shaquana's age will be x. The equation can be written as:-

x² + 2 ( x + 2 ) = 39

x² + 2x + 4 = 39

x² +2x -35 = 0

Solve the quadratic equation,

x² +2x -35 = 0

x² + 7x - 2x - 35 = 0

x ( x + 7 ) - 2 ( x + 7 ) = 0

( x + 7 ) ( x - 5 ) = 0

x = 5

Therefore, for the given data, Shaquana's age will be 5 years.

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We define a graph’s degree sequence as a list of the degrees of all the vertices in the graph, in increasing order of degree. For example, the graph a b c d e f has degree sequence (0, 2, 2, 3, 3, 4) because there is one node with degree 0 (f), two nodes with degree 2 (a and e), two nodes with degree 3 (b and d), and one node with degree 4 (c). For each of the following, either list the set of edges of a tree with vertex set {a, b, c, d, e, f} that has the stated degree sequence, or show that no such tree exists. (a) (1, 1, 1, 3, 3, 3) (b) (1, 1, 1, 1, 3, 3) (c) (1, 1, 1, 1, 3, 4)

Answers

The edges of the tree are as follows:f - a, f - b, f - c, c - d, c - e, c - f, b - f, a - f, a - b.

Let the vertices be a, b, c, d, e, f with degree sequence (1, 1, 1, 1, 3, 3)

Since all vertices have a degree at most 3, the tree cannot have 6 vertices.

So, a tree with this degree sequence does not exist(c) (1, 1, 1, 1, 3, 4)

We can form a tree with this degree sequence as follows:Let the vertices be a, b, c, d, e, f with degree sequence (1, 1, 1, 1, 3, 4)

Vertex f must be the vertex of the highest degree in this graph, so we can make f the root of the tree.

The three children of f must have degrees 1, 1, and 3.

So, we label these vertices a, b, and c. The remaining vertex of degree 1 can be connected to any vertex of degree 1, let it be a.

Thus the tree can be represented as below.  The edges of the tree are as follows:

f - a, f - b, f - c, c - d, c - e, c - f, b - f, a - f, a - b.

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Holly needs to buy some cloth to make masks. The following deals are available at various stores. Choose the best deal


A.
$11.04 per 4 yd

B.
$16.26 per 6 yd

C.
$19.11 per 7 yd

D.
$13.85 per 5 yd

Answers

Answer: B, $16.26 per 6 yards

Step-by-step explanation:

$11.04/ 4 yd is $2.76 a yd

$16.26/ 6 yd is $2.71 a yd

$19.11/ 7 yd is $2.73 a yd

$13.85/ 5 yd is $2.77 a yd

What percent is represented by the shaded area?

What percent is represented by the shaded area?

Answers

Answer:

1.91%

Step-by-step explanation:

- 2 + 0.8) ÷ (- 1.3) =
\( ( - 2 + 0.8) \div ( 1}^{2} - 1.3\)

Answers

(-2 + 0.8) ÷ (1²-1.3) =

(-1.2) ÷ (1-1.3)

(-1.2) ÷ (-0.3)

= 4

28. Suppose an investment doubles in value every 5 years. This is year the
investment is worth $12,480. How much will it be worth 10 years from now? How
much was it worth 5 years ago?

Answers

I think the answer is in 10 years from now the investment will be worth 24,960 and five years ago it was worth

Solve for x.
(43x)⁰
B
C
A
(272x + 2)°

Solve for x.(43x)BCA(272x + 2)

Answers

Answer: x=1 ==> D

Step-by-step explanation:

Lets say y=180-43x

Hence, 2y=272x+2

y=180-43x

2y=360-86x

360-86x=272x+2

360=272x+88

272x=272

x=1 ==> D

Consider the following equation. 7x2-y2 = 9 (a) Findt y by implicit differentiation y' = _________
(b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y, = ± ______

Answers

(a) The implicit differentiation of 7x²-y² = 9 is 7x / y.
(b) The explicit differentiation of y' in terms of x is ±(7x / √(7x² - 9)).

(a) Given the equation 7x² - y² = 9, we want to find y' by implicit differentiation.
1: Differentiate both sides of the equation with respect to x.
d(7x² - y²)/dx = d(9)/dx

2: Apply the differentiation rules.
14x - 2yy' = 0 (Here, we used the chain rule for differentiating y^2, i.e., d(y²)/dx = 2y(dy/dx) = 2yy')

3: Solve for y'.
2yy' = 14x
y' = 14x / (2y)
y' = 7x / y

So, the implicit differentiation of y' is 7x / y.

(b) Now, we will solve the equation explicitly for y and differentiate to get y' in terms of x.

1: Solve the equation 7x² - y² = 9 for y.
y^2 = 7x² - 9
y = ±√(7x² - 9)

2: Differentiate both sides with respect to x.
For the positive square root:
y = √(7x²- 9)
y' = d(√(7x² - 9))/dx

Using the chain rule:
y' = (1/2) * (7x²- 9)-¹/² * 14x
y' = 7x / √(7x² - 9)

For the negative square root :
y = -√(7x²- 9)
y' = d(-√(7x² - 9))/dx

Using the chain rule:
y' = -(1/2) * (7x² - 9)^-¹/² * 14x
y' = -7x / √(7x² - 9)

So, the explicit differentiation of y' in terms of x is ±(7x / √(7x² - 9)).

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can you ou guys please help me with the first two questions?

can you ou guys please help me with the first two questions?

Answers

number one: multiply by 2
number two: multiply by 5.2 or 5 1/5

In the figure below, m2 1=106º. Find m2, mZ3, and m2 4

In the figure below, m2 1=106. Find m2, mZ3, and m2 4

Answers

Answer:

1 = 106

2 = 74

3 = 106

4 = 74

Step-by-step explanation:

Vertical angles congruent and supplementry angles theorm

Answer:

∠2 = 74º

∠3 = 106º

∠4 = 74º

Step-by-step explanation:

∠2 is supplementary to ∠1

∠2 = 180 - 106

∠2 = 74º

-----------------------------

∠3 is a vertical angle to ∠1

∠3 = ∠1

∠3 = 106º

---------------------------

∠4  is a vertical angle to ∠2

∠4 = ∠2

∠4 = 74º

count by 1 1/2's

0, 1 1/2, _, _, _, _, _, 10 1/2, _, _, 15

Answers

2, 2 1/2, 3, 3 1/2, 4, 41/2, 5, 5 1/2 6, 61/2 so on and so forth

a-1/3 =3/4
what is a

Answers

Answer:

a = 13/12

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

a - 1/3 = 3/4

Step 2: Solve for a

[Addition Property of Equality] Add 1/3 on both sides:                                      a = 13/12

Mark and Diane pay a rate of 43.7 mills in property tax. The assessed value of the home is $74,000. What is their property tax?

Answers

To calculate Mark and Diane's property tax, we need to first convert the millage rate to a decimal. To do this, we divide the millage rate by 1,000, so 43.7 mills becomes 0.0437.

We then multiply this decimal by the assessed value of their home, which is $74,000.

0.0437 x $74,000 = $3,233.80

Therefore, Mark and Diane's property tax is $3,233.80. It's important to note that the millage rate can vary depending on the location and local tax laws, and the assessed value of the property may also change over time due to changes in the real estate market or improvements made to the home. Property tax is used to fund local government services, such as schools, roads, and public safety.

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in its simplest form, kanban consists of a whiteboard divided into multiple columns. what are they titled?

Answers

The correct option for whiteboard of the Kanban are-

b) Planned; e) Done; f) WIP

Explain the term Kanbanboard?

The work that needs to be done, that work that is being done, and the work that has been finished are all displayed on a Kanban Board.

It's a graphic representation of a person's, a team's, or a department's value stream, which has been diagrammed on a board, a wall, or specifically designed Kanban software.The purpose of the Kanban technique applied to knowledge management is the same as it was in manufacturing even though it was developed as a stock management tool in Toyota manufacturing: better visualize work, restrict work progress, optimize flow, and uncover improvement opportunities.

Thus, the more visible a Kanban board is, the better; optimum outcomes are likely to be achieved when a team can always see it.

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The complete question is-

In its simplest form, Kanban consists of a whiteboard divided into multiple columns. What are they titled?

a) In Queue

b) Planned

c) Opened Ticket

d) Delayed

e) Done

f) WIP

I have one more question

I have one more question

Answers

Answer: 19

Step-by-step explanation:

\(49-6(5)=19\)

Answer:

19

Step-by-step explanation:

a=49,b=5

a-6b

we will just substitute for the values

=49 – 6(5)

= 49 – 30

= 19

which inequality is represented by this graph

which inequality is represented by this graph

Answers

Answer:

\(x\geq -53\)

Step-by-step explanation:

Answer:

x ≥ -53

Step-by-step explanation:

Here is a trick the arrow is going to the right so the arrow in the inequality must go to the right and if the circle is closed there must be a line under the arrow in the inequality.

Can I get Brainliest please!

Help I’m stuck on this question:

Jordan and Matt are camping. They decide to hike 4.6 miles away from camp and then turn north
mike 1.8 more miles. Which of the following is a possible distance of how far they are from camp?
A
1.5 miles
B
2.8 miles
I
C
5.3 miles
D
6.4 mile

Answers

Answer:

C

Step-by-step explanation:

Let d = the distance from camp

d < 1.8 + 2.6 = 6.4    

d > 2.8

so 2.8 < d < 6.4,  therefore d could be 5.3

A rectangle is englared by 6 what is the area of the englared rectangle

Answers

Answer:

120 in

Step-by-step explanation:

__________ LANs are usually arranged in a star topology with computers wired to central switching circuitry that is incorporated in modern routers.​
a) Mobile
b) Internet
c) ​Ethernet
d) Wireless

Answers

Ethernet LANs are usually arranged in a star topology with computers wired to central switching circuitry that is incorporated in modern routers.

Ethernet is a family of computer networking technologies that is used in LAN, metropolitan area networks (MAN), and wide area networks (WAN). It was first introduced in 1980 by Xerox Corporation, and later standardized by the Institute of Electrical and Electronics Engineers (IEEE) as IEEE 802.3.

Ethernet networks can be implemented in different topologies, such as a bus, star, or mesh topology. However, the most common topology for Ethernet LANs is a star topology, in which computers are wired to a central switching circuitry that is incorporated in modern routers. This allows for efficient communication between the computers on the network.In addition to LANs, Ethernet is also used for other networking applications such as Internet access, wireless networking, and broadband access. Overall, Ethernet is a widely used technology that has become an important component of modern computer networking.

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Two different meal combinations at a chicken restaurant have the same number of total
calories. The first meal has 8 chicken nuggets and a large order of fries, while the second
meal has 12 nuggets and a small order of fries. The large order of fries contains 288.5
calories and the small order of fries has 193.5 calories. Which equation and solution can
be used to determine n, the number of calories in each chicken nugget?

Two different meal combinations at a chicken restaurant have the same number of totalcalories. The first

Answers

Answer: 8x+288.5=12x+193.5

Step-by-step explanation:

Let x=calories per nugget

First meal=second meal

8x+288.5=12x+193.5

be careful when assigning variables to weights and observations. a grade point average can be thought of as the average grade received for each hour of coursework taken. therefore wi represents ---select--- and xi represents ---select--- .

Answers

Wi represents the weight of the course, and xi represents the grade received for that course.

Care must be taken when assigning variables to weights and observations, because the average grade point average (GPA) is the average grade received for each hour of coursework taken.

Therefore, each grade must be weighed against the number of credits for that course.

For example, if two courses are worth 3 credits and one course is worth 6 credits, then the GPA would be calculated by adding the three grades together and then dividing by the sum of the credits (3+3+6=12).

In this case, a grade of A in the 6 credit course would have a greater impact on the GPA than the same grade in the 3 credit course.

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please help ill give brainliest

please help ill give brainliest

Answers

Answer:

A

Step-by-step explanation:

y = (1/4)x - 7

slope = 1/4

So, the slope of the perpendicular line  = -1/m = -1 ÷ (1/4)

                                                                 = -1 * (4/1) = -4

(-2 , -6)

y - y1 = m(x -x1)

y - [-6] = -4(x - [-2])

y + 6 = -4(x + 2)

Answer:

a

Step-by-step explanation:

give the other dude brainlest and have fantastic day and great life

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