Cars arrive at a highway toll booth according to a Poisson distribution with a mean of 90 cars per hour. The service rate for passing through the booth is also Poisson distributed with an average 100 cars per hour. The drivers complain of the long waiting time, and authorities are willing to increase the average passing rate by installing automatic toll collecting device. However, before they incur the expenses, they would like you to calculate the average time in system. It will be closest to:

The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321.  the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.

To determine the largest absolute value:

We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.

To determine the smallest absolute value:

We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.

To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.

Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

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Answer:

x = -25/3

Step-by-step explanation:

The equation simplifies to -3x - 25 = 0, so

-3x = 25 =>

x = -25/3

Answer:

250

Step-by-step explanation:

14 x 4 = 56

56 divided by 2 = 28

The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

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the surface area of the cylinder is approximately 471 dm².

Now, For the surface area of the cylinder, we need to find the lateral area  and the area of the two circular bases.

Since, The formula for the lateral area of a cylinder is

L = 2πrh,

where r is the radius of the cylinder and h is the height.

In this case, the diameter is 10 dm,

So the radius is 5 dm.

And the height is also 10 dm.

Therefore, the lateral area is:

L = 2πrh

L = 2π(5 dm)(10 dm)

L = 100π dm²

The formula for the area of a circle is

A = πr²,

where r is the radius.

In this case, the radius is 5 dm,

So the area of each base is:

A = πr²

A = π(5 dm)²

A = 25π dm²

To find the total surface area, we add the lateral area and the area of the two bases:

SA = 2(Area of Base) + Lateral Area

SA = 2(25π dm²) + 100π dm²

SA = 50π dm² + 100π dm²

SA = 150π dm²

Substitute pi as 3.14, we can calculate:

SA ≈ 150(3.14) dm²

SA ≈ 471 dm²

Therefore, the surface area of the cylinder is approximately 471 dm².

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Answer:

Fahrenheit.

Step-by-step explanation:

In the given formula, the variables given stand for:

C = Celsius

F = Fahrenheit

~

In this case, you plug in the temperature in Fahrenheit into F, and then use the equation to obtain the temperature in Celsius.

~

Answer:

get up a calculator and multiply the numbers and it will give you an answer

Step-by-step explanation:

hope this helps

Answer:

1 I think I'm not 100% sure though

Elena has $225 in her bank account.

She takes out (subtraction) $20 each week.

Let w represents weeks.

Let d represents dollars left in her bank account after w weeks.

Then the algebraic equation becomes

Since Elena takes out $20 per week that is why 20w is subtracted from the total amount in her account that is $225

Answer:

3.75 or 3 3/4

Step-by-step explanation

Ok the denominators aren't the same so were going to make them the same by them changing into the same number.

we can do thins by timesing 5 by 4=20 and 4 timesing by 5=20

So now that the denominators are the same we have to times 1 by 4 since it denominator was times by same thing with 3 except that only get times by 5.

1 x 4=4 and 3 x 5=15 so now our two fractions are 15/20 and 4/20

15 divided by 4=3.75 and there's our answer.

we get the .75 because it is 3 more so 3 4 x3 =12 that's where we get 3 and then there is 3 left and 3/4 of and 3/4=0.75 and then you combined them to make 3.75.

hope it helps have a great afternoon  

Using the properties of sets, (BU A)'n C = {h,q}

Null set or an empty set There isn't even one element in it. Finite Set: It only has a finite number of components. The element count of an infinite set is infinite. Two sets with the same members are said to be equal sets.

An object collection that is taken into account as a whole is referred to as a set. The elements or members of the set are the things that make it up. A set's components can be any type of object, but for our purposes, they are most frequently mathematical components like integers, functions, or other sets.

The list of all subsets of a,b,c,d is ϕ ,{a},{b},{c},{d},{a,b},{a,c},{a,d},{b,c},{b,d},{c,d},{a,b,c},{a,b,d},{a,c,d},{b,c,d},{a,b,c,d}

(B U A) = {f,g,r,x,y,z}

(BU A)'n C = {h,q}

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The equation that models the deposit, y, on day x that Julian makes with an initial deposit of $6 and depositing 2 times as much money as he did the day before is y = 6^2x.

An equation is a mathematical statement of the equality or equivalence of two or more mathematical or algebraic expressions.

Equations use the equation symbol (=), unlike mathematical expressions, which just combine variables, constants, numbers, and values with mathematical operands.

The initial deposit that Julian makes = $6

The amount that he deposits each day = 2x

Let Julian's deposit on day x = y

Let the number of days of deposit = x

y = 6^2x.

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what kind of single transformation changes shape A to shape b

Answer:

Step-by-step explanation:

An EHT is an Environmental Health Technician. Integration (Integral Calculus, if that's what you mean) will be applied to an Environmental Health Technician's job in the following way:

1. In the analysis or examination of samples from an environment, such as soil sample, water sample, domestic waste sample, septic waste sample, etc.

Essentially, Integral Calculus (and other forms of Maths) must be studied, before a person is able to be an Environmental Health Technician.

Degrees in any of the following fields are a necessary criterion;

- Applied Science

- Public Health

- Environmental Science

- Biochemistry

- Health Data Analysis

Through the graph we will determine if the line integral of each vector field is positive, negative, or zero. The answer to this question is:

-Positive

-Negative

-Zero

-Negative

-Zero

-Zero

What is the Line integral?

A line integral, also known as the route integral, curve integral, or curvilinear integral, is used to find the surface's area in three dimensions. In this integral, the function is evaluated along a curve. There are several applications of line integrals, such as in the field of electromagnetics, to find the force applied on a charged particle moving along a curve in a force field created by a vector field.

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The two solutions of the equation:

(6x - 12)/3 + 4 = 18/x

Are x = 3 and x = -3

Here we have the following equation:

(6x - 12)/3 + 4 = 18/x

Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.

Now, let's start by simplifying the left side:

(6x - 12)/3+  4 = 18/x

2x - 4 + 4 = 18/x

2x = 18/x

Now we can multiply both sides by x so we get:

2x^2 = 18

Now divide both sides by 2:

x^2 = 18/2

x^2 = 9

Finally, apply the square root in both sides:

√x^2 = ±√9

x = ±3

The two solutions are x = 3 and x = -3

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The true statement is that the counterexample must satisfy the conclusion of the conditional statement.

A counterexample is a situation in which the hypothesis and conclusion are both accurate. We employ a counter example to show that a conditional assertion is untrue.

The true statement regarding the counterexample can be written as a conditional assertion.

This is shown to be untrue by a counterexample,

Therefore, only one counter-example is enough to demonstrate the falsity of a proposition. In this case where a counterexample is used to refute a conditional statement.

The counter-example should be supported the conditional statement's hypothesis.

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Answer: 5

Step-by-step explanation:

(9 × 3 + 1)× 6 over 3d (Cancel out 3 in both numerator and denominator)

2(1 + 3 × 9 ) over d (Multiply 3 and 9 to get 27)

2(1 + 27) over d (Add 1 and 27 to get 28)

2×28 over d (Multiply 2 and 28 to get 56)  

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Answer: 18 - 2 = ...

Step-by-step explanation:

Substitute 3 into n:

6 * 3 - 2

= 18 - 2

=  Solve this yourself :>

Answer: The value of 6n-2 when 4 is 3=16

Step-by-step explanation: Put value of n in the expression 6n - 2. The resulting expression will be 6(3)-2. We will multiply first and then subtract. 18-2 which equals 16.

It is not possible to give an exact answer to this question without knowing the specific function s. However, in general, the slope of the tangent line to a function s at a specific point t can be found by taking the derivative of the function s at that point.

If we let f(t) be the function s, then the derivative of f(t) at t=1 would give us the slope of the tangent line to s at that point. This can be written mathematically as:

s'(1) = lim(h->0) [s(1+h) - s(1)]/h

Here, s'(1) represents the derivative of s at t=1, and h represents a small change in t. By taking the limit as h approaches 0, we can find the instantaneous rate of change of s at t=1, which is the slope of the tangent line to s at that point.

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The number which correctly represents the decimal 0.6 as a whole number is; 1.

It follows from the task content that the number which correctly represents the number 0.6 as a whole number is to be determined.

Since the given number is 0.6. It follows that the closest whole number can be determined by rounding off to th nearest whole number.

Hence, by rounding off; we have; 1.

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ATQ

\(\\ \sf\longmapsto 4x+6x=5x+55\)

\(\\ \sf\longmapsto 10x=5x+55\)

\(\\ \sf\longmapsto 10x-5x=55\)

\(\\ \sf\longmapsto 5x=55\)

\(\\ \sf\longmapsto x=11\)

Step-by-step explanation:

\( \huge \color {brown} \boxed { \colorbox {black}{ ANSWER }}\)

Let us assume the ratio's as 4x, 5x and 6x.

A.T.Q

6x+4x=5x+55

→ 10x = 5x + 55

→ 10x - 5x = 55

→ 5x = 55

→ x = \(\frac{55}{5}\)

x = 11

Therefore,

First no. = 4x = 4 × 11 = 44

Second no. = 5x = 5 × 11 = 55

Third no. = 6x = 6 × 11 = 66

Hence the three numbers are 44,55 and 66.

Answer:

C. 2x + 6

Step-by-step explanation:

After doing synthetic division (see attached), you get 2, 6, and 0, corresponding to the answer 2x + 6.

Answer:

3.34 * 10^-21 g

Step-by-step explanation:

1.67*10^-24 * 2000 = 1.67 * 10^-24 * 2 *10^3 = 3.34 * 10^-21 g

Answer:

\(C = 2\pi r\\\)

Step-by-step explanation:

\(Circumference = 2\times \pi \times r\)

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y=1/3x+2

Step-by-step explanation:

................

Answer:

y=1/3x+2

Step-by-step explanation:

slope intercept form: y=xm+b

6y=2x+12

/6       /6

y=2/6x+2

y=1/3x+2

have a great day!