How does the distance you determined in part c change if the radius of the small gear is 1.5 inches and the radius of the large gear is 4.5 inches?

Answer:

Step-by-step explanation:

Answer: 1

Step-by-step explanation: 1.27 is 27 hundredths from 1, but 73 hundredths from 2. Therefore it's nearest whole number is 1.00 = 1.

Based on the sample data, there is sufficient evidence to conclude that the average rating is more than 4.75, thus the correct option is (d). The question is related to hypothesis testing in statistics.

If the p-value is 0.03 and the level of significance is 0.10, we reject the null hypothesis if the p-value is less than 0.10.

Since the null hypothesis is not specified in the question, we assume that it is that the average rating of the fruit drink is no more than 4.75.

Therefore, if the p-value is less than 0.10, we would reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the average rating of the fruit drink is more than 4.75.

Since the p-value, in this case, is 0.03, which is less than the level of significance of 0.10, we would reject the null hypothesis and conclude that based on the sample data, there is sufficient evidence to conclude that the average rating is more than 4.75.

Therefore, the correct answer is (d) based on the sample data, there is sufficient evidence to conclude that the average rating is more than 4.75.

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Answer:

Step-by-step explanation:

b, i'm not sure but thats what i think.

Answer:

8

Step-by-step explanation:

the perimeter is the sum of the 3 sides of the triangle.

Given perimeter = 26 , then

2a - 3 + 2a + 3a + 1 = 26 , that is

7a - 2 = 26 ( add 2 to both sides )

7a = 28 ( divide both sides by 7 )

a = 4

then

shortest side = 2a - 3 = 2(4) - 3 = 8 - 3 = 5

longest side = 3a + 1 = 3(4) + 1 = 12 + 1 = 13

the difference between the 2 sides is 13 - 5 = 8

the longer side is 8 units bigger than the shortest side

Answer:

Repeating decimal.... yes

Answer:

8 yards

Step-by-step explanation:

4 - 6 = -2

-2 + 10 = 8

AB = BC

Since B is the midpoint of AC , Both segments AB and BC are equal:

Replacing with the values given:

20 = 2x

Solving for x

20/2 = x

10=x

Since:

AC= AB+BC

AC = 20+2x

Replacing x=10

AC = 20+2(10)

AC=20+20

AC=40

Answer:

s7= -7

Step-by-step explanation:

Reflection in the x-axis and translation 2a units up, translation a units up, followed by a reflection in the line y = a translation a units up, followed by a reflection in the line y = 2

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.

transformations that do not result in mapping (a,-a) to (a, a) when a > 0. are

reflection in the x-axis and translation 2a units up, translation a units up, followed by a reflection in the line y = a translation a units up, followed by a reflection in the line y = 2

Hence reflection in the x-axis and translation 2a units up, translation a units up, followed by a reflection in the line y = a translation a units up, followed by a reflection in the line y = 2

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Answer:  f(2) is 3.

Step-by-step explanation:

f(2) just means "what is the vale of the function, f, when x = 2?  Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3.  So f(2) = 3.

======

[One could also determine the equation for the line.  Provided below.]  

The slope is -(1/2) and the y-intercept is 4:

y = -(1/2)x + 4

For x=2,

y = -(1/2)*(2) + 4

y = 3  

y(2) = 3  

Answer:

\(\frac{dy}{dx} = \frac{13}{8} \)

Step-by-step explanation:

\( y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } } \)

When x = 4,

\(\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8} \)

Answer:

Hello,

Answer 13/8

Step-by-step explanation:

\(y=2x+\dfrac{3}{\sqrt{x} } \\\\y'=2+6*\dfrac{-1}{2} x^{\frac{-3}{2} }\\\\y'=3-\frac{3}{\sqrt{x^3}} \\\\\\For x=4, \\\\y'(4)=2-\dfrac{3}{8} =\dfrac{13}{8}\)

Answer:

5 meters bc you just multiply it by 2

Based on the figures above, the numbers of children that attended the park that day is 10,000.

Fist we have to use the determinant to solve for c and as such:

\(\frac{det.\frac{30000}{500000} \frac{1}{20} }{det. \frac{1}{10} \frac{1}{20} }\)

=\(\frac{30000 x 20 - 500000 x 1}{1 x 20 - 1 x 10}\)

= 100000/10

=10,000

Therefore, Based on the figures above, the numbers of children that attended the park that day is 10,000.

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Answer:

DE=16

Step-by-step explanation:

I took the test and it's right!

Answer:

l don't understand your question.......sorry

Answer:

angle PSQ=25°

Step-by-step explanation:

angle RQS=angle PSQ.......... alternate angle

so angle PSQ=25°

Answer:

25 degrees

Step-by-step explanation:

If it is a parallelogram, then the sides PS and QR will be parallel, then ∠PSQ and ∠RQS are alternate interior angles, and hence they will be congruent. That is, ∠PSQ ≅ ∠RQS = 25°.

But this is not the confirmation that this would be parallelogram as it could be trapezoid. The given condition is must but not sufficient to prove it.

Hope this helps. Do mark me as BRAINLY. thanks

Answer:

Yes, it is

Step-by-step explanation:

Ok sorry wish I can help promise

It is impossible to determine the weighted mean or the percentage without understanding the weights or the context of the issue.

The percentage can be computed by taking the value and dividing it by the total value, then multiplying this result by 100. The percentage is calculated using the following formula: (value/total value)100%.

The given data is: 10, 5, 7, 6, 7, 5, 4, 12

Mean:

To find the mean, we need to add up all the numbers and divide by the total count:

Mean = (10 + 5 + 7 + 6 + 7 + 5 + 4 + 12) / 8 = 56 / 8 = 7

Therefore, the mean is 7.

Median:

To find the median, we need to arrange the numbers in order from smallest to largest:

4, 5, 5, 6, 7, 7, 10, 12

Since there are 8 numbers in the list, the median will be the average of the middle two numbers:

Median = (6 + 7) / 2 = 6.5

Therefore, the median is 6.5.

Mode:

To find the mode, we need to identify the number that appears most frequently in the list:

The number 5 appears twice, and the numbers 7 and 12 also appear twice. Therefore, there are two modes: 5 and 7.

Finding the median, quartiles, and ranges of values for the data set, as well as the lowest and highest values, will help us produce a box & whisker graphic. Already, 6.5 was determined to be the median.

We can divide the data set in half at the median and then calculate the medians for each half to determine the first, second, and third quartiles:

4, 5, 5, 6

7, 7, 10, 12

The median of the first half is (5 + 5) / 2 = 5, and the median of the second half is (7 + 10) / 2 = 8.5.

Therefore, the first quartile (Q1) is 5, and the third quartile (Q3) is 8.5.

The value ranges from 4 to 12, with 12 being the maximum.

The box and whisker plot looks like this:

   +-----+

----| 4   |----

   +-----+

   |     |

----| 5   |----

   +-----+

   |     |

----| 5   |----

   +-----+

   |     |

----| 6   |----

   +-----+

   |     |

----| 7   |----

   +-----+

   |     |

----| 7   |----

   +-----+

   |     |

----| 10  |----

   +-----+

   |     |

   | 12  |

   +-----+

Weighted Mean:

To find the weighted mean, we need to multiply each number by its weight, add up the products, and divide by the total weight. For example, if we have the numbers 2, 3, and 4 with weights of 1, 2, and 3, the weighted mean would be:

Weighted Mean = (21 + 32 + 4*3) / (1+2+3) = 17/6

Without knowing the weights or the context of the problem, it is not possible to find the weighted mean or the percentage.

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The mean is 7, Median is 6.5 and the mode is 5.

What is weighted mean?

Weighted mean is a type of average that takes into account the relative importance or weight of each number in a set. Each number is multiplied by its corresponding weight, and the products are then added together and divided by the sum of the weights.

To calculate the mean, you need to add up all the numbers and divide by the total number of numbers:

(10 + 5 + 7 + 6 + 7 + 5 + 4 + 12) / 8 = 7

Median:

To find the median, first order the numbers from smallest to largest:

4, 5, 5, 6, 7, 7, 10, 12

There are 8 numbers in the list, so the median is the average of the two middle numbers, which are 6 and 7:

(6 + 7) / 2 = 6.5

Mode:

The mode is the number that appears most frequently in the list. In this case, the mode is 5, because it appears twice and no other number appears more than twice.

Box and Whisker Plot:

To create a box and whisker plot, first order the numbers from smallest to largest:

4, 5, 5, 6, 7, 7, 10, 12

Weighted Mean:

To calculate the weighted mean, you need to multiply each number by its corresponding weight, add up the products, and divide by the sum of the weights. If you have the weights in percentage form, you can convert them to decimal form by dividing by 100.

For example, if the numbers 10, 20, and 30 have weights of 20%, 30%, and 50%, respectively, the weighted mean would be:

(100.20 + 200.30 + 30*0.50) / (0.20 + 0.30 + 0.50) = 23

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Answer:

f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.

Step-by-step explanation:

Suppose you have two functions f(x) and g(x).  If you use g(x) as the input to f(x), and the result is merely x, then we conclude that the two functions are inverses of each other.  Similarly with f(x) as argument of g(x).

f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.

To sketch three solutions with initial values y(0) > 0, y(0) = 0, and y(0) < 0, we'll need to use a differential equation or system of differential equations. So, to sketch three solutions with initial values y(0) > 0, y(0) = 0, and y(0) < 0, we would first draw a slope or direction field for our differential equation. Then, we would start at the point (0, y(0)) and follow the direction of the slope or arrow to sketch the solution for each initial value.
To sketch three solutions with the given initial values, follow these steps:
1. Determine the differential equation you're working with. For example, let's consider the equation y'(t) = y(t). This is just an example, and the process will be similar for other differential equations.
2. Solve the differential equation to obtain a general solution. In our example, the general solution is y(t) = C * e^t, where C is an arbitrary constant.
3. Apply the initial values to find specific solutions:
  a. For y(0) > 0, choose a positive value for C, such as C = 1. The specific solution is y(t) = e^t.
  b. For y(0) = 0, choose C = 0. The specific solution is y(t) = 0.
  c. For y(0) < 0, choose a negative value for C, such as C = -1. The specific solution is y(t) = -e^t.
4. Sketch the three solutions on the same graph:
  a. For y(t) = e^t, draw a curve that starts at (0,1) and increases exponentially as t increases.
  b. For y(t) = 0, draw a horizontal line at y = 0.
  c. For y(t) = -e^t, draw a curve that starts at (0,-1) and decreases exponentially (toward 0) as t increases.
These three curves represent the solutions with the specified initial values. Note that this process assumes you have a specific differential equation in mind. If you have a different equation, just follow the same steps to find and sketch the solutions.

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The amount of plastic wrap used to wrap the container is 3.06π square inches.

What is cylinder ?

A cylinder is a multi object used in geometry that has a round base, a curving surface rising from it, and another circular shape at the top or lid. One way to visualize a cylinder is as a stack of infinitely thin circular discs stacked one on top of the other. The height and radius of a cylinder, which measure the distance from the base to the top and the edge of the circular base, respectively, determine the shape of the object.

The plastic wrap covers the entire surface area of the cylinder. The formula for the surface area of a cylinder is:

Surface area of cylinder = 2πr² + 2πrh

where r is the radius of the circular base of the cylinder, and h is the height of the cylinder.

We can use the given diameter of the circular base, which is 1.8 inches, to find the radius r:

r = d/2 = 1.8/2 = 0.9 inches

We are also given the height of the rectangle, which is 0.8 inches.

Now we can substitute the values of r and h into the formula for the surface area of the cylinder:

Surface area of cylinder = 2π(0.9)² + 2π(0.9)(0.8)

Surface area of cylinder = 2π(0.81) + 2π(0.72)

Surface area of cylinder = 1.62π + 1.44π

Surface area of cylinder = 3.06π square inches

Therefore, the amount of plastic wrap used to wrap the container is 3.06π square inches.

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Answer:

GCF: 8

Answer: 8(7z - 3)

Step-by-step:

For the answer you just need to factor 8 out of 56z - 24

Answer:

GCF is 8

Step-by-step explanation:

Prime factor 56 and 24

See the biggest factor that will divide into them

We would expect the size of the population to increase by 12 individuals.

Here are the terms we'll be using:
- Initial population size: 100 individuals
- Per capita birth rate: 0.25
- Per capita death rate: 0.13
To find the expected increase in population size, follow these steps:
Calculate the net per capita growth rate by subtracting the per capita death rate from the per capita birth rate:
Net per capita growth rate = Per capita birth rate - Per capita death rate
Net per capita growth rate = 0.25 - 0.13
Net per capita growth rate = 0.12.

Multiply the net per capita growth rate by the initial population size to find the expected increase in the number of individuals:
Expected increase = Net per capita growth rate × Initial population size
Expected increase = 0.12 × 100
Expected increase = 12 individuals.

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The original fraction is -5. Note that this is a negative fraction, which may not be meaningful in certain contexts.

Let's call the original fraction "x".

From the first condition, we have:

x + 4 / x's denominator = 3/4

From the second condition, we have:

x / (x's denominator + 2) = 1/2

We can substitute x's denominator in the first equation with (x's denominator + 2) from the second equation:

x + 4 / (x's denominator + 2) = 3/4

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

4x + 16 = 3x's denominator + 6

x's denominator = 4x + 10

Substituting back into the second equation:

x / (4x + 10) = 1/2

Multiplying both sides by (4x + 10) to isolate x:

2x = 4x + 10

Solving for x:

-2x = 10

x = -5

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Answer:

multiply -1.25 x 12

Sense a negative and a positive will always be negative when dealing with multiplication you'll get -15

now -15 +651= 636

always take the sign of the biggest number.

A and B are mutually exclusive, with P(A) is 0.7 and P(B) is 0.2, the probability of event B given event A (P(B|A)) and the probability of event B given event A (P(BIA)) are both 0.2.

To find the probability of B given A, we can use the formula:

P(B|A) = P(A and B) / P(A)

Given:

P(A) = 0.5

P(B) = 0.1

P(A and B) = 0.3

P(B|A) = 0.3 / 0.5

= 0.6

Therefore, the probability that B will occur if A occurs is 0.6.

Given:

P(A) = 0.3

P(B) = 0.4

Since A happening guarantees that B must also happen, the events A and B are not independent. In this case, we can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.3 + 0.4 - 0.3

= 0.4

Therefore, the probability of A or B occurring is 0.4.

Given:

P(A) = 0.7

P(B) = 0.2

Since A and B are mutually exclusive events, they cannot occur together. In this case, we have:

P(A and B) = 0

Therefore, P(B|A) = P(BIA)

= 0.

P(BIA) = P(B)

= 0.2.

So, P(BIA) < P(B) is true.

When events A and B are mutually exclusive, with P(A) = 0.7 and P(B)

= 0.2, the probability of event B given event A (P(B|A)) and the probability of event B given event A (P(BIA)) are both 0.2.

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The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

Any 3 trinalges

Step-by-step explanation:

total triangles= 9

1/3 of 9 = 1/3 x 9 =  3

So, shade 3 triangles

I hope im right!1

Step-by-step explanation:

There are total 9 parts of the triangle

⅓ of 9 is 3.

Therefore shade any 3 parts.

The rate of change of the distance between the plane and the radar station at the instant when the plane is directly above the station is 800 meters per second.

To solve this problem, we can use the Pythagorean theorem to find the distance between the plane and the radar station at any given time. Let's call the distance between the plane and the radar station "d" and the distance traveled by the plane "x". Then we have:

d² = x² + (2.5 km)²

Differentiating both sides with respect to time, we get:

2d(dd/dt) = 2x(dx/dt)

At the instant when the plane is directly above the radar station, x = 2.5 km and d = 0, so we have:

0 = (2.5 km)(dx/dt)

Solving for dx/dt, we get:

dx/dt = 800 m/s

Therefore, the rate of change of the distance between the plane and the radar station at the instant when the plane is directly above the station is 800 meters per second.

This means that the distance between the plane and the radar station is decreasing at a rate of 800 meters per second at that instant.

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SOLUTION

The given residual plot the represents the scatter plot is