plsss answerr

Create the equation of the graph given below:

Given the arrival rate of 9 customers per hour and the service rate of 16 customers per hour, we can use the Little's Law to find the average number of customers in the system.

As L = λ / (μ - λ), where λ is the arrival rate and μ is the service rate. Plugging in the given values, we get L = 9 / (16 - 9) = 1.29 customers. To find the probability that there won't be any customer at the carwash, we can use the Poisson distribution, since the arrival rate is known. The probability of having zero arrivals in an hour can be calculated using the Poisson formula P(X=0) = e^(-λ) * (λ^0) / 0!, where λ is the arrival rate. Plugging in the given value of λ = 9, we get P(X=0) = e^(-9) = 0.0001234.

Therefore, the probability that there won't be any customer at the carwash is very low, only about 0.01234%. This means that it is highly likely that at least one customer will arrive within an hour.

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The work done by the force field on the particle moving along the given helix is 60π units of work.

To find the work done by the force field F on the particle that moves along the helix r, we use the formula:

W = ∫ F · dr

where · denotes the dot product, and dr is the differential displacement vector along the path of the particle.

First, we need to calculate dr. Since the particle moves along the helix r, we can write:

dr = dx i + dy j + dz k

where dx, dy, and dz are the differentials of x, y, and z with respect to t, respectively. We have:

dx = -2sin(t) dt

dy = 2cos(t) dt

dz = 5 dt

Therefore, we can write:

dr = (-2sin(t) i + 2cos(t) j + 5k) dt

Next, we need to calculate F · dr. We have:

F · dr = (6x i + 6y j + 2k) · (-2sin(t) i + 2cos(t) j + 5k) dt

= -12sin(t) + 12cos(t) + 10 dt

Finally, we can integrate F · dr over the interval 0 ≤ t ≤ 2π to obtain the work done by the force field F on the particle that moves along the helix r:

W = ∫ F · dr = ∫ (-12sin(t) + 12cos(t) + 10) dt

= [-12cos(t) + 12sin(t) + 10t]0\(^(2π)\)

= (-12cos(2π) + 12sin(2π) + 10(2π)) - (-12cos(0) + 12sin(0) + 10(0))

= 20π

Therefore, the work done by the force field F on the particle that moves along the helix r is 20π.

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Answer:

9

Step-by-step explanation:

the square of 3 is 9

3 + 3 + 3 = 9

Answer:

A: False B: False C: False D: False

Step-by-step explanation:

569x 102 = 58038

569x 10 = 5690

103x 569 = 58607

102x 569 =  58038

To project the life expectancy of men born in this community in 2020, plug x = 60 (since 2020 is 60 years after 1960) into your linear function E(x). Calculate the value of E(60) to find the projected life expectancy in years

To answer your question about male life expectancy in a certain community, I will break down the solution into three parts as requested:
a. To create a scatter plot, first note down the data points. Let x represent the number of birth years after 1960 and y represent male life expectancy. The six selected years are: 1960, 1967, 1971, 1969, 1971, and 1975. Their respective life expectancies are 66, 67, 69.6, 71.2, 73.9, and 75.4. Plot these points on a rectangular coordinate system.
b. To draw a line through the two points for 1980 and 2000, find the coordinates of these points first. For 1980, x = 20 (since it's 20 years after 1960) and for 2000, x = 40. Use the scatter plot to find the corresponding life expectancies (y values) for these points. Next, choose the correct graph that shows the line passing through these two points.
c. To write a linear function, E(x), that models life expectancy for men born in this community x years after 1960, use the coordinates of the two points for 1980 and 2000. Find the slope, m, by using the formula (y2 - y1) / (x2 - x1) and then find the y-intercept, b, by substituting one of the points' coordinates into the equation y = mx + b. Your function will be in the form E(x) = mx + b.
Finally, to project the life expectancy of men born in this community in 2020, plug x = 60 (since 2020 is 60 years after 1960) into your linear function E(x). Calculate the value of E(60) to find the projected life expectancy in years.

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Answer:

C)9,5,1,3

a1=9

a2=a(2-1)-4= a1-4= 9-4=5

a3=a(3-1)-4= a2-4= 5-4=1

Hope this will help :-)

Answer:

43 knots

Step-by-step explanation:

43 bro

hope dat helps

Answer:

-20 dawg

Step-by-step explanation:

hook it up w a brainliest for all my hard efforts

Answer:

2

Step-by-step explanation:

hello ht eanswer is 2

hi

Answer:

Step-by-step explanation:

The Domain of the function is Domain = {-1, -1, -2, -2, -3, -3, -4, -4}.

Yes the relation a function.

We have the set,

{(-1,1), (-1,-1),(-2,2), (-2,-2),(-3,3),(-3,-3),(-4,4), (-4,-4)}

We know that the domain is the input value or the x value.

So, Domain = {-1, -1, -2, -2, -3, -3, -4, -4}

and, the range is the output value or y value

So, Range = {1, -1, 2, -2, 3, -3, 4, -4}

As, each input value have distinct output s then the relation a function.

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Answer:

0.00825814344701024621501758678697

Step-by-step explanation:

Use a calculator please<3

Answer:

MAYBEEEE WHO KNOWSSS

Step-by-step explanation:

Answer:

No Because The President election every for 4years and the inauguration happens the next year and this President candidate is still severing his term

 The slope of the line perpendicular to y=4x-1 is -1/4

A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line i.e  -1/m .

Given here,  y=4x-1 the slope of this line is m = 4

therefore slope of the line perpendicular to the line will be -1/4

Hence the slope is -1/4

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Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Lets highlight some key words.

There are three friends and they equally have to share an unknown amount of number to earn up to the 1200 per month,

X=Amount needed to pay the rent fee.

Since there are 3 friends and they have to split we have to multiply,

3x, "At least" is less than or equal to so .

3x \(\leq\)

Additionally theres 1200 per month so the friends need to share there rent and 1200 is the total it should be put as

3x \(\leq\) $1200

To add up to the rent, and to solve the inequality

we have to do the opposite of multiplication, and divide.

1200/3 = 400, x \(\leq\) 400

The figure's overall area is 8,065.76 square metres (3,136 + 4,929.76 square metres).

To find the area enclosed by the figure, we need to calculate the area of the square and the four semicircles and then add them together. The area of the square is 56 × 56 = 3,136 square meters.

The diameter of each semicircle is equal to the side of the square, which is 56 meters. Therefore, the radius of each semicircle is 28 meters. The area of one semicircle is (1/2) × pi × 28² = 1,232.44 square meters. The area of all four semicircles is 4 × 1,232.44 = 4,929.76 square meters.

Thus, the total area of the figure is 3,136 + 4,929.76 = 8,065.76 square meters.

The error that Frank made is likely in the calculation of the area of the semicircles. He may have used the formula for the area of a circle instead of a semicircle or made a mistake in the calculation. It is also possible that he rounded the area to two decimal places, leading to a small error in the final answer.

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Answer:

-4x3.5=-14

Step-by-step explanation:

divide -14 by -4 wich = 3.5

The data set that is less variable is option A, with a smaller range and fewer unique values.

To determine which data set is less variable, we need to look at the range of values and the spread of the data.

We can use the terms "data", "sets", and "variables" to explain this.

Data refers to the information that we collect, such as the numbers in each data set. Sets refer to the group of numbers that we are comparing. Variables refer to the characteristics that can change in each set, such as the range or spread of the data.

Looking at the given data sets, we can see that option A and C have the same range of values, from 1 to 4. Option B has a wider range of values, from 1 to 8. Option D has a smaller range of values, from -1 to 0.

To determine the spread of the data, we can calculate the standard deviation of each set. However, since this is not specified in the question, we can make an estimate based on the range and the number of values in each set.

Option A has only 4 unique values, so it is likely to have a lower spread than the other sets.

Option B has 8 unique values, so it is likely to have a higher spread.

Option C has 8 values as well, but they are evenly spaced, so the spread may be similar to option A.

Option D has only 5 values, but they are all close together, so it may have a similar spread to option A and C.

Therefore, the data set that is less variable is option A, with a smaller range and fewer unique values.

To determine which of the given data sets is less variable, we need to analyze the spread of the values within each set. The data sets provided are:

a. 1,1,2,2,3,3,4,4
b. 1,2,3,4,5,6,7,8
c. 1,1.5,2,2.5,3,3.5,4,4.5
d. -1,-0.75,-0.5,-0.25,0,0.25,0.5,0.75

Set a has less variability as the values are closer together and repeated more frequently than in the other data sets.

The other sets (b, c, and d) have a larger range and more variation among their variables, making set the least variable among the given sets.

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Answer:

50

Step-by-step explanation:

The shell method, we integrate 2πrh*dx, where r is the distance from the axis of revolution to the shell,

The volume of the solid generated by revolving the region bounded by the line y = f(x), where f(x) is a function, using the shell method, we integrate 2πrh*dx, where r is the distance from the axis of revolution to the shell, h is the height of the shell, and dx represents an infinitesimally small change in x.

The limits of integration are determined by the intersection points of the line y = f(x) with the x-axis. We evaluate the integral from the lower limit to the upper limit to obtain the volume of the solid.

The shell method allows us to calculate the volume by considering infinitesimally thin cylindrical shells perpendicular to the axis of revolution.

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Answer:

BC = 14.40 correct to 1dp

Step-by-step explanation:

Sin44°= AC/BC

BC=AC/sin44°

BC=10/0.695

BC=14.3884892086330

BC = 14.40 correct to 1dp

1885 students participate in school sports at Ryan's school.

To find the number of students who participate in school sports, we can multiply the total number of students by the fraction representing the proportion of students who participate.

Number of students participating in sports = (5/8) * 3016

To calculate this, we can simplify the fraction:

Number of students participating in sports = (5 * 3016) / 8

Number of students participating in sports = 15080 / 8

Number of students participating in sports = 1885

Therefore, 1885 students participate in school sports at Ryan's school.

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So, let's simplify the expression:

Answer: p greater than 4.

Answer:

True.

Explanation:

When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)

The Perimeter of the pentagon ABCDE is 17 units.

If two points in coordinates plane P(a, b) and Q(c, d) then the distance between these points are

PQ = √(c-a)² + (d-b)²

Given:

The coordinates of Pentagon are  A (4, 3), B (7, 3), C (8, 0), and D (2, -3) and E(0, 1).

Using Distance formula

AB = √(7-4)² + (3-3)²

AB = √9

AB = 3

BC = √(8-7)² + (0-3)²

BC = √1 + 9

BC = √10

CD = √(2-8)² + (-3-0)²

CD = √36  + 9

CD = √45

CD = 3√5

DE = √(0-2)² + (-3-1)²

DE = √4 + 16

DE = √20

DE = 2√5

So, Perimeter of the pentagon ABCDE = AB+BC+CD+DE+EA

                                                                 = 3 + √10 + 3√5 + 2√5

                                                                 = 3 + √10 + 5√5

                                                                 = 17.342 unit

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Answer: 22

Step-by-step explanation:

Just because it is right yk.

Answer: 5.7 (rounded)

Step-by-step explanation: The formula to find the diagonal of a square is \(\sqrt{2\) * a, where a is a side length on the square. Since we are solving for half of a diagonal, we use this formula and divide our result by two. We start by multiplying root 2 by 8 and we get 11.31371, next we divide by two and we get 5.656855 which is 5.7 when rounded.

Answer:

30/12

2 6/12

2 1/2

if you simplify your answer it's 2 1/2

Answer:

The IQR for population A is twice the IQR for population B

Step-by-step explanation:

12 is double of 6

Answer:

55

Step-by-step explanation:

Answer: D.)

Step-by-step explanation:

40*5=200, This is Brians total $'s

1,300-200=1,100, This is Rebeccas total $'s

1,100/20= 55, This is the total hours worked.

Answer:

The cost is £2.38

Step-by-step explanation:

Find the cost of 1 kg of potatoes:

2.5 kg of potatoes = £1.40

1 kg of potatoes = 1.40 ÷ 2.5 = £0.56

Find the cost of 4.25 kg of potatoes:

1 kg = £0.56

4.25 kg = 0.56 x 4.25 = £2.38

Hope this was helpful !

Also God loves U SO MUCH ! God bless.

Answer:

Step-by-step explanation:

Find the cost of 1 kg of potatoes:

2.5 kg of potatoes = £1.40

1 kg of potatoes = 1.40 ÷ 2.5 = £0.56

Find the cost of 4.25 kg of potatoes:

1 kg = £0.56

4.25 kg = 0.56 x 4.25 = £2.38

Answer: The cost is £2.38