The local park has 4 bike racks . Each bike rack can hold 15 bikes . There are 16 bikes in the bike racks.What expression shows the total number of empty spaces in the bike racks ?

1 foot = 12 inches

1/4 foot = 12/4 = 3 inches

61 +3 = 64 inches tall ( 5 ft 4 inches)

The probability of rolling a sum of 8 on a pair of standard six-sided dice is 5 out of 36, or 0.139 rounded to three decimal places.

The subject of your question is

probability

, a topic in Mathematics. To solve this, we want to know the total number of outcomes when two dice are rolled; which is 6*6 = 36. Then we determine how many of these outcomes result in a sum of 8. Upon careful examination, we find that there are 5 (2,6), (3,5), (4,4), (5,3), and (6,2). Therefore, the

probability of rolling a sum of 8

on a standard pair of six-sided dice is 5 out of 36, which can be expressed as

5/36 or 0.139

rounded to three decimal places.

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by adding the numbers in a different order would be a way to check so the answer is:

C. 877 + 228 + 34 + 104

Jase's chickens laid more eggs.

From the information given, Jase farm has 9 chickens and each laid 3 eggs, therefore the total eggs laid will be:

= 9 × 3

= 27 eggs.

On the other hand, Ednas farm has chickens which lay a total of 23 eggs. Therefore, since 27 eggs are more than 23 eggs, Jase's chickens laid more eggs.

In conclusion, Jase's chickens laid more eggs.

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To express the number of miles driven, y, in terms of the number of hours driven, t, we first find the speed and then use it to formulate the equation of the line as y = 60t. However, to accurately represent the entire trip, we must include the initial 100 miles driven in 2 hours, leading to y = 60t - 20 as the final equation.

To write an equation that gives the number of miles driven, y, in terms of the number of hours driven, t, we can use the relationship between distance and travel time. Given that after two hours you had gone 100 miles and after 8 hours, you reached your destination, which is 460 miles away, we establish two points on our distance-time graph: (2, 100) and (8, 460).

Using the two points, we can find the slope of the line, which represents the speed:
Slope (speed) = (change in distance) / (change in time) = (460 - 100) miles / (8 - 2) hours = 360 miles / 6 hours = 60 miles/hour.

We can now express the equation of the line as y = mx + b, where m is the slope and b is the y-intercept. The y-intercept represents the distance at time zero, which for most driving scenarios we assume to be 0 miles. Thus, the equation becomes y = 60t. However, this equation would not accurately represent the entire trip since it doesn't account for the initial 100 miles driven in the first 2 hours.

To adjust for that, we'll introduce an offset for the initial 100 miles traveled in the first 2 hours. The y-intercept would be 100 miles less than if we had started from 0 miles at 0 hours. The corrected equation for the entire trip would be of the form y = 60t + b, where b = y - 60t and y are the miles covered in the initial 2 hours, which is 100 miles. Substituting the values, we get b = 100 - 60 x 2 which equals -20.

The final equation, accounting for the first 2 hours of travel, would therefore be: y = 60t - 20.

The equation of a line containing the point (3, –2) and having a slope of 2, is y = 2x-8

The general equation of a line in two variables of the first degree is represented as Ax + By +C = 0, A, B ≠ 0 where A, B and C are constants which belong to real numbers. When we represent the equation geometrically, we always get a straight line.

Given that a line containing the point (3, –2) and having a slope of 2, we need to find the equation of the line,

So, the general equation of a line is y = mx+c

Where, m is the slope and c is the y-intercept.

Therefore,

y = 2x+c

Now, put x = 3 and y = -2 in the equation to find the value of c,

-2 = 3(2)+c

-2 = 6+c

c = -8

Put the value of c in the equation,

y = 2x-8

Hence, the equation of a line containing the point (3, –2) and having a slope of 2, is y = 2x-8

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Answer:

Step-by-step explanation:

[tex]\text{The formula of a distance between two points on a number line:}\\\\d=|a-b|\\\\\text{for}\ a\geq b:\ d=a-b\\=========================\\\\\text{We have}\ 4.7\ \text{and}\ -11.2.\ \text{Substitute:}\\\\d=4.7-(-11.2)=4.7+11.2=15.9[/tex]

The distance between 4.7 and -11.2 on the number line is 15.9.

The distance between two points on a number line can be found by taking the positive difference between their coordinates. In this case, the distance between 4.7 and -11.2 is found by subtracting the smaller number from the larger number and taking the absolute value.

Distance = |-11.2 - 4.7| = |-15.9| = 15.9

Therefore, the correct expression is Distance = 15.9.

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It's C if you're taking the test

Answer:

10 customers were spoken to in every 30 minutes

Step-by-step explanation:

First, we convert 40 hours into minutes by multiplying it with 60 [as 1 hour = 60 minutes]

So, 40 hours =  40*60 minutes

                      = 2400 minutes

In 2400 minutes, number of customers served = 800

In 1 minute, number of customers served = [tex]\frac{800}{2400}[/tex]

In 30 minutes, number of customers served = [tex]\frac{800}{2400}*30[/tex]

                                                                         = [tex]\frac{800}{2400} * \frac{30}{1}[/tex]

                                                                         = [tex]\frac{800*30}{2400*1}[/tex]

                                                                         = [tex]\frac{24000}{2400}[/tex]

                                                                         = 10

So,

10 customers were spoken to in every 30 minutes

Final answer:

You spoke with 10 customers every 30 minutes.

Explanation:

To find out how many customers you spoke to every 30 minutes, we can set up a proportion. We know that you spoke with 800 customers in 40 hours, which is equivalent to 2400 minutes. So, the proportion is:

800 customers / 2400 minutes = x customers / 30 minutes

Now, we can cross-multiply and solve for x:

800 * 30 = 2400 * x

x = 800 * 30 / 2400

x = 10

Therefore, you spoke with 10 customers every 30 minutes.

We know that William paid his deductible that amount is the $150. 

Then William paid 20 percent of everything else. That's 20 percent of (750 minus 150), it is equal to 150.

Then the insurance company paid 80 percent of (750 minus 250), it is equal to 480.

Answer:

its is he payed 270 and insurance payed 480

Step-by-step explanation:

just simply add up the numbers to 750 and the only ones that go together are 270 + 480 = 750 hope it helps :)

Answer:

The circumference of the given circle = 182.12 meters

Step-by-step explanation:

The circle P is given to us in which length of PB = 29 meter

Now, Since P is the center of the circle so PB will be the radius of the circle

So, Radius of the circle = 29 meter

We need to find the circumference of this circle with radius 29 meter

So, Circumference of the circle = 2π × radius of the circle

⇒ Circumference of the circle = 2 × 3.14 × 29

                                                  = 182.12 meter

Hence, The circumference of the given circle = 182.12 meters

a. The 50 independent network servers would be needed if each has 98% reliability.

b. Approximately 9 independent network servers would be needed if each has 89% reliability.

To calculate the number of independent network servers needed for a given level of reliability, we can use the following formula:

[tex][ \text{Number of servers} = \frac{1}{1 - \text{Reliability}} ][/tex]

a) For servers with 98% reliability:

[tex][ \text{Number of servers} = \frac{1}{1 - 0.98} = \frac{1}{0.02} = 50 ][/tex]

Therefore, 50 independent network servers would be needed if each has 98% reliability.

b) For servers with 89% reliability:

[tex][ \text{Number of servers} = \frac{1}{1 - 0.89} = \frac{1}{0.11} \approx 9 ][/tex]

Therefore, approximately 9 independent network servers would be needed if each has 89% reliability.

The rules of the order of operations tells you to multiply and divide in order from left to right.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

The order of operations can be remembered by the acronym PEMDAS, which stands for: parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right. There are no parentheses in this problem, so start with exponents. Then, multiply and divide from left to right.

Hence, the rules of the order of operations tells you to multiply and divide in order from left to right.

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The limit of the function lim x → ∞(x⁴ - 9x² + x)/(x³ - x + 6) is DNE

To take the limit of the function lim x → ∞(x⁴ - 9x² + x)/(x³ - x + 6), we proceed as follows

Since we have the function  lim x → ∞(x⁴ - 9x² + x)/(x³ - x + 6) and we want to take the limit, we proceed thus,.

First, we divide both the numerator and denominator by x⁴. So,

lim x → ∞(x⁴ - 9x² + x)/(x³ - x + 6) = lim x → ∞(x⁴ - 9x² + x)/x⁴ ÷ (x³ - x + 6)/x⁴

= lim x → ∞(x⁴/x⁴ - 9x²/x⁴ + x/x⁴ ÷ (x³/x⁴ - x/x⁴ + 6/x⁴)

= lim x → ∞(1 - 9/x² + 1/x³ ÷ (1/x - 1/x³ + 6/x⁴)

Now, taking the limit as x tends to infinity, we have that

= lim x → ∞1 - lim x → ∞9/x² + lim x → ∞1/x³ ÷ lim x → ∞1/x - lim x → ∞1/x³ + lim x → ∞6/x⁴

= (0 - 9/∞² + 1/∞³)/(1/∞ - 1/∞³ + 6/∞⁴)

= (0 - 9/∞ + 1/∞)/(1/∞ - 1/∞ + 6/∞)

= (∞ - 0 + 0)/(0 - 0 + 0)

= (∞)/(0)

= DNE

The program is an illustration of functions

Functions are collections of defined program statements, that are executed when evoked

The program in Python, where comments are used to explain each line is as follows:

#This imports the math module

import math

#This defines the function

def calculateDistance(x1,y1,x2,y2):

      #This calculates the distance between the points

      dist = math.sqrt((x2 - x1)**2 + (y2 - y1)**2)

      #This returns the calculated distance

      return dist distance

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