If arrivals occur at a mean rate of 3.6 events per hour, the exponential probability of waiting more than 0.5 hour for the next arrival is:

The work done to stretch a spring is calculated using Hooke's Law, denoted by the formula W = 1/2kx², where 'k' is the spring constant and 'x' the displacement. The displacement is the difference between the final and initial lengths of the spring (7.0 cm - 3.0 cm). However, without the spring constant, a specific numerical answer cannot be provided.

The problem requires calculating the work done to stretch a spring. This can be done using Hooke's Law in Physics, which states that the force necessary to extend or compress a spring by a distance 'x' from its equilibrium position is proportional to 'x'. The magnitude of the force applied is represented as F = kx, where 'k' is the spring constant. However, the work done, W, against this force is given by 1/2kx².

To calculate, we need to know the value of the spring constant 'k', and the displacement 'x', which is the difference between the final length (7.0 cm) and the initial length (3.0 cm) of the spring. Without the spring constant, we, unfortunately, cannot provide a numerical answer.

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To find the estimated sum, round each addend to the nearest ten thousand by looking at the digit in the ten thousand places. Then add the rounded numbers together.

To round each addend to the nearest ten thousand, look at the digit in the ten thousand places. If the digit is 5 or greater, round up by increasing the number in the ten thousand place by 1. If the digit is less than 5, round down by keeping the number in the ten thousand places the same. For 337,961, the digit in the ten thousand places is 9, so it rounds up to 340,000. For 482,746, the digit in the ten thousand places is 7, so it rounds down to 480,000. Now, you can find the estimated sum by adding the rounded numbers, which would be 340,000 + 480,000 = 820,000.

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The statements equivalent to a price increase of 100% are that the price doubled and the price is now 200% of the original. These statements mean the new price is twice the original amount.

When analyzing statements that describe a price increase of 100%, it is important to understand that this means the new price is twice the original price. Among the listed statements, the correct ones that are equivalent to a 100% increase in price are:

(A) The price doubled

(G) The price now is 200% of what it was before

These are equivalent because if a price doubles, it is 100% more, making the new price 200% of the original. This can be seen in practical examples, such as if a gumball costs 25 cents and the price doubles, it becomes 50 cents, or 200% of its original cost.

Answer:

It is actually B output

Step-by-step explanation:

A comparison sentence for the equation '6 times 7 equals 42' using multiplication.

Comparing the given equation '6 times 7 equals 42' using a sentence:

In comparison to the equation 6 times 7 equals 42, the sentence '7 multiplied by 6 results in 42' represents the relationship between the factors and the product.

Answer: (C) (g – 5)(g2 + 5g + 25)

The total area of the trapezoid is 73.5 square feet, calculated by adding the area of the square (49 square feet) to the area of the isosceles right triangle (24.5 square feet).

The area of a trapezoid consists of the area of a square and the area of an isosceles right triangle. Since the square has side lengths of 7 feet, its area is 49 square feet (7 feet x 7 feet). The isosceles right triangle, with both the base and the height being 7 feet, has an area of 24.5 square feet (1/2 x 7 feet x 7 feet). Therefore, the total area of the trapezoid is the sum of the areas of the square and the triangle.

Total area = Area of square + Area of triangle

Total area = 49 square feet + 24.5 square feet = 73.5 square feet.

Answer:

b the answer

Step-by-step explanation:

just did it

Final answer:

The actual product is less than the estimate. The numbers differ by less than one.

Explanation:

Javier rounded to the nearest half to estimate the product of 3 2/5 and -3 7/8.

To estimate the product, we can round both numbers to the nearest half, which gives us 3.5 and -3.5. Multiplying these rounded numbers gives an estimate of -12.25.

The actual product of 3 2/5 and -3 7/8 is -3.4. Therefore, the actual product is less than the estimate. The numbers differ by less than one.

Answer:

Option C. is the correct option.

Step-by-step explanation:

The given line in the graph passes through two points (0, 3) and (3, 7).

We have to find the equation of the line.

Since y = mx + c is the standard equation of a line

where m = slope of the line

c = y - intercept

Slope of a line m = [tex]\frac{(y-y')}{(x-x')}[/tex]

Now we put the values of x and y to find the slope of this line.

m = [tex]\frac{7-3}{3-0}=\frac{4}{3}[/tex]

Since (0, 3) passes through the line

3 = 0 + c

c = 3

Equation of the line will be

[tex]y=\frac{4}{3}x+3[/tex]

Option C. is the answer.

Answer:

me dony know

Step-by-step explanation:

Answer choices:

A. a car

B. a set of rectangular stairs

C. a rolling pin

D. a stapler

The answer is C. a rolling pin

If we solve the equation which is (F × x ) - (g × x ) = h , we will get the value of x as x = h / ( F - g ).

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

An equation is given which is :

(F × x ) - (g × x ) = h

We have to solve this equation to get the value of the variable x.

So, the value of x can be calculated as :

(F × x ) - (g × x ) = h

Taking common x from LHS :

x ( F - g ) = h

Dividing by ( F - g ) on both sides we get :

[ x ( F - g ) / ( F - g )] = h / ( F - g )

or

x = h / ( F - g )

Therefore , if we solve the equation which is (F × x ) - (g × x ) = h , we will get the value of x as x = h / ( F - g ).

Learn more about algebra here :

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Answer:

(-2,0)

Step-by-step explanation:

I just did the assignment

To solve the equation 3x + 1 + 2x = 2 + 4x, you would first combine like terms, then eliminate variable terms on one side of the equation, and finally solve for x.

In solving the equation 3x + 1 + 2x = 2 + 4x, the first step would be to combine like terms on both sides of the equation. This means adding or subtracting the same type of terms together. In this case, you would combine the x terms on the left side and the constant terms on the right side. The equation will then be simplified to 5x + 1 = 2 + 4x.

The next step would be to get rid of the variable terms on one side of the equation. To do this, you can subtract 4x from both sides of the equation. This will result in x + 1 = 2.

Finally, you can solve for x by subtracting 1 from both sides of the equation. This gives us the solution x = 1.

Answer:

(3a,a)

Step-by-step explanation:

As you know the component on the X vertex is the first that is represented when setting point coordenates, and the second value is in the Y vertex, as you can see the value for Y is a, and in the problem says that the longer side is three times the short side, since the Y vertex is the short side, that means the X vertex will have the longer side, making it 3a. So the coordenates will be (3a,a).

(3^8 ⋅ 2^-5 ⋅ 9^0)^-2 ⋅ (2^ -2 / 3^3) ^4 ⋅ 3^28 =

(6561 * 0.03125 * 1)^2 * (0.00925)^4 * 22876792454961 =

42037.81348 * 0.00000000732094 * 22876792454961 =

7040477235.56798349

 round answer as needed

The picture is 7w - 2 units longer than it is wide, this is found by subtracting the width (4+w) from the length (8w+2).

To find out how much longer the picture is than it is wide, we must compare the picture's length and width. Given the picture's width is 4+w and the length is 8w+2, we subtract the width from the length to find the difference:

Length - Width = (8w+2) - (4+w) = 8w + 2 - 4 - w = 7w - 2.

Therefore, the picture is 7w - 2 units longer than it is wide.

Answer:

The sales tax to be paid for the pair of shoes is $2.29.

Step-by-step explanation:

If the price of a pair of shoes is $45.90, and the sales tax rate for it is of 5%, in order to know the sales tax to be paid we have to do the following calculation:

(45.90 x 5) / 100 = X

229.5 / 100 = X

2.295 = X

So, as we can see, the sales tax to be paid is $2.29

Final answer:

To solve 3.4 x 4.72, multiply the numbers as if they are whole, then place the decimal in the product so that it has the same number of decimal places as the sum of the decimal places in the factors, resulting in 16.048.

Explanation:

To solve the multiplication of 3.4 x 4.72, follow these steps:

The final result of multiplying 3.4 by 4.72 is 16.048.