Please help me with my math!!

The most likely to generalize to it's population of interest is a stratified random sample of 120

a stratified random sample 120

Stratified random sampling is a method of sampling that involves the division of a population into smaller subgroups known as strata. In stratified random sampling, or stratification, the strata are formed based on members’ shared attributes or characteristics, such as income or educational attainment. Stratified random sampling has numerous applications and benefits, such as studying population demographics and life expectancy.

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The smallest possible value of the number is 101. Let's consider the steps described to find the smallest possible value of the number.

Starting with a three-digit number, let's assume the number is ABC, where A, B, and C represent the hundreds, tens, and units digits, respectively. Step 1: Switch the first two digits. The switched number would be BAC. Step 2: Switch the last two digits. The switched number becomes BCA. Now, we need to find the difference between the original number ABC and the switched number BCA. The difference is given by ABC - BCA. Subtracting BCA from ABC, we get (100A + 10B + C) - (100B + 10C + A) = 99A - 90B - 9C.

To obtain a palindrome, the difference should have the same digit in the hundreds and units places, and the digit in the tens place should be zero. The smallest possible value is when A = 1, B = 0, and C = 1. Therefore, the smallest possible value of the number is 101.

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Answer:

8.15 miles

Step-by-step explanation:

Monday: 1 1/10 miles = 1.1

Multiply by 10 to get to 100

Wednesday: 4 4/5 miles = 4.8

Multiply by 20 to get to 100

Friday: 2 1/4 miles = 2.25

Multiply by 25 to get to 100

1.1 + 4.8 + 2.25 = 8.15 miles

The vertex of the parabola y=-x^(2)-14x-49 is located at (-7,0). And there is only one x-intercept, which is (-7,0)

The vertex of a parabola is the point where the parabola changes direction. The vertex is found by completing the square for the quadratic equation. The x-coordinate of the vertex is given by the formula x = -b/2a, where a and b are the coefficients of the quadratic equation. The y-coordinate of the vertex is found by substituting the x-coordinate of the vertex into the equation for y.

For the given parabola, y=-x^(2)-14x-49, the coefficients are a=-1 and b=-14.

The x-coordinate of the vertex is:
x = -b/2a = -(-14)/(2*(-1)) = -7

The y-coordinate of the vertex is:
y = -(-7)^(2)-14(-7)-49 = -49+98-49 = 0

Therefore, the vertex of the parabola is (-7,0).

To find the x-intercepts, we need to solve the equation for when y=0:
0 = -x^(2)-14x-49
0 = (x+7)(x+7)
x = -7

Since the equation has only one solution, there is only one x-intercept, which is (-7,0). This is also the vertex of the parabola.

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To balance the line by choosing the assignable task with the longest task time first, you need to follow these steps. Determine the task times for each assignable task in the line.

Identify the assignable task with the longest task time. Assign that task to the first station in the line. Calculate the remaining cycle time by subtracting the task time of the assigned task from the total cycle time.
Repeat steps 2-4 for the remaining assignable tasks, considering the updated cycle time after each assignment.

Task A has the longest task time, so it is assigned to the first station. After each assignment, the cycle time is updated by subtracting the task time of the assigned task.  Task B is assigned to the second station, and Task C is assigned to the third station. Since Task C has a task time of 1.2 minutes, the remaining cycle time becomes 0. After that, Task D and Task E are not assigned any task time because the remaining cycle time is already 0. The specific values will depend on the actual task times and cycle time in your scenario.

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By following these steps, you will be able to balance the line by choosing the assignable task with the longest task time first. The final answer will be the completed table with all the relevant information.

To balance the line by choosing the assignable task with the longest task time first, we need to follow certain steps and fill in the table accordingly.

Step 1: Determine the cycle time.

Given that the cycle time is 2.3 minutes, we will use this value as a reference for balancing the line.

Step 2: List the tasks and their task times.

Create a table with columns for tasks and task times. List all the tasks that need to be performed on the line and their respective task times.

Step 3: Sort the tasks in descending order.

Sort the tasks in descending order based on their task times, with the longest task time at the top and the shortest at the bottom.

Step 4: Calculate the number of operators required for each task.

Starting from the top of the table, divide the task time by the cycle time. Round up the result to the nearest whole number to determine the number of operators needed for each task.

Step 5: Calculate the balance delay.

For each task, calculate the difference between the number of operators required and the number of operators available. This represents the balance delay for each task.

Step 6: Fill in the table.

Fill in the table with the tasks, task times, number of operators required, and balance delay for each task.

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In the given diagram, the value of x is 15

From the question, we are to determine the value of x

From one of the circle theorems, we have that

Opposite angles of a cyclic quadrilateral are supplementary.

Thus, in the diagram

5x + 7x = 180°

12x = 180°

x = 180°/12

x = 15

Hence, the value of x is 15

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Answer:

After

days and after

days.

By solving a quadratic equation, we will see that the attendance will be the same after 5 days and after 35 days.

This will happen for the values of x such that:

y = -x^2 +35x + 100 = y = -5x+275

There says that the attendance for movie A is the same as the one for movie B. So we just need to solve that.

We can write the equation as:

-x^2 +35x + 100 = -5x+275

If we simplify this, we get:

-x^2 + 35x + 100 + 5x - 275 = 0

-x^2 + 40x - 175 = 0

This is a quadratic equation, the two solutions are given by Bhaskara's formula, we will get:

\(x = \frac{-40 \pm \sqrt{(40ft)^2 - 4*(-1)*-175)} }{2*-1} \\\\x = \frac{-40 \pm 30}{-2}\)

So the two solutions are:

x = (-40 + 30)/-2 = 5

x = (-40 - 30)/-2 = 35

So, the attendance will be the same after 5 days and after 35 days.

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The graph given below is non-planar. The explanation as to why this is so is as follows: A graph is planar if it can be drawn in the plane without any edges crossing each other. K5 and K3,3 are examples of non-planar graphs. The given graph is non-planar since it includes K5 as a subgraph.

A subgraph of a graph is a subset of its vertices together with any of the edges connecting them. If the graph contains a subgraph which is not planar, it is non-planar. In the given graph, the subgraph with vertices a, b, c, d and e is K5 which is non-planar. This means that the entire graph is also non-planar. Therefore, the graph cannot be drawn in the plane without edges crossing each other.

Below is a more than 100 word descriptive of the above explanation: A graph is said to be planar if it can be drawn in the plane without any edges crossing each other. Some examples of non-planar graphs are K5 and K3,3. If a graph has a subgraph that is non-planar, it is considered to be non-planar as well. In the given graph, the subgraph formed by vertices a, b, c, d and e is K5 which is a non-planar graph. Hence, the given graph is non-planar. This implies that it cannot be drawn in the plane without any of the edges crossing each other.

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Answer:

it is 3

Step-by-step explanation:

I don't know I would

Answer:

it is 3

Step-by-step explanation:

It Basile 9 divide by 4

Answer:

yes

Step-by-step explanation:

I think it the relation between arrow daigram or matrix

Answer:

Width of walkway = 3.71625 feet

Step-by-step explanation:

Let the width of the walkway be w. Then the length of entire area of the pool including the walkway is 32 + 2w and the breadth of the entire walkway is 16 + 2w since there is a width of w on both sides of length and breadth

Total Area of pool with pathway
(16+ 2w)(32+2w) = 924

Using the FOIL method we can expand the term on the left as follows:
= \(\sf 16\cdot \:32+16\cdot \:2w+2w\cdot \:32+2w\cdot \:2w\)

= \(\sf 512+96w+4w^2\)

Rearrange terms to get
\(\sf 4w^2 + 96w + 512\)

So we get
\(\sf 4w^2 + 96w + 512 = 924\)

Subtract 924 from both sides
\(\sf 4w^2 + 96w + 512 - 924 = 0\)

==> \(\sf 4w^2 + 96w -412 = 0\)

This is a quadratic equation of the form \(\sf ax^2 + bx + c\) whose roots(solutions) are
\(\displaystyle \sf x_{1,\:2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

Here a = 4, b = 96 and c = -412

Plugging in these values we get
\(\sf w_{1,\:2}=\dfrac{-96\pm \sqrt{96^2-4\cdot \:4\left(-412\right)}}{2\cdot \:4}\)

\(\sf \sqrt{96^2-4\cdot \:4\left(-412\right)}\\\\ = \sqrt{96^2+4\cdot \:4\cdot \:412} \\\\= \sqrt{96^2+6592} \\\\= \sqrt{9216+6592} \\\\= \sqrt{15808} = 125.73\\\\\)

So
\(w_{1,\:2}=\dfrac{-96\pm \:125.73}{2\cdot \:4}\)

\(w_1=\dfrac{-96+125.73}{2\cdot \:4},\:w_2=\dfrac{-96-125.73}{2\cdot \:4}\)

We can ignore w₂ since it is a negative value

So
\(\sf w = \dfrac{-96 + 125.73}{8} = 3.71625\; feet\)

\(\boxed{ \mathsf{Width\; of\; walkway = 3.71625\;feet}}\)

Distance from Detroit to columbus is 220 miles

It is given in the question,

The average speed Mrs. smith drove = 60 mph.

Returning, her average speed was 55 mph.

Time taken =  1/3 of an hour longer on the return trip

We have to Find total distance between Detroit and Columbus

So, Let the distance between Detroit and Columbus be "x" miles

Average speed = 60

So, time taken by her to cover distance of x miles with speed of 60 mph

Time = Distance / speed

=> t = x / 60

She Took x/60 hours to reach Columbus

While returning her speed was 55 mph.

So, time taken by her to cover the same distance but at a speed of 55 mph :

=> t = x / 55

Now we are given that she took 1/3 of hour more while returning .

So, \(\frac{x}{55} - \frac{x}{60} = \frac{1}{3}\)

⇒ x/660 = 1/3

=> x = 660/3

=> x = 220 miles

Hence ,  Detroit is 220 miles far from Columbus

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Answer:

He will use 4.

Step-by-step explanation:

1/2 flower-1 sugar*4 = 2 flower - 4 sugar

Answer:Zero is neither a positive nor a negative integer, It is a neutral number i.e. zero has no sign (+ or -).

Step-by-step explanation:

i

Solution of the given expression (9/4) -2(4x +4/3) +(5/2)x is equivalent to the following one:

As given in the question,

Given expression is equal to :

(9/4) -2(4x +4/3) +(5/2)x

Solution of the given expression (9/4) -2(4x +4/3) +(5/2)x is equivalent to  the following one:

(9/4) -2(4x +4/3) +(5/2)x

= (9/4) - 2(4x) - 2(4/3) + (5/2)x

Simplify the like terms of the given expression we get,

= (9/4) -(8/3) - 8x + (5/2)x

= (27-32)/12 -8x +(5/2)x

= -(5/12) -8x + (5/2)x

= -(5/12) +((-16+5)/2)x

= -(5/12) -(11/2)x

Therefore, solution of the given expression (9/4) -2(4x +4/3) +(5/2)x is equivalent to the following one:

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The value of this golden ratio = 1/2 (1 + √5) = 1.618

Ratio:

Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion. We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc. Students occasionally struggle to understand the difference between ratio and proportion.

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Division is one of the four fundamental arithmetic operations. The number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that 20 machines produce 1,240 printers in a day. Therefore, the rate of production for a single machine can be written as,

Rate of production for a day = 1240/20 = 62 printer per machine

Now, the number of machines that will be needed to produce 1,984 printers in a day is,

Rate of production for a day = 1,984 / Number of machine

62 = 1984 / Number of machine

Number of machines = 32 machines

Hence, the number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

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Answer: D

Step-by-step explanation:

let me tell you why you can divide any number by 100 by moving the decimal point two places to the left. It's not because dividing by 100 is the same as subtracting the number 100 times, because that would just be ridiculous. And it's not because moving the decimal point makes the number smaller, although that's technically true. And it's definitely not because dividing by 100 is the same as removing a zero, because that's just like saying you can make a cake disappear by removing a slice.

No, the real reason is because moving the decimal point two places to the left makes the number 1/100 of its original value, which is exactly what we want when we're dividing by 100. So the answer is D, my friend. Now, if only all math problems were this easy...

PLEASE GIVE ME BRAINLIEST! :)

Answer:

D

Step-by-step explanation:

When you move the decimal point two places to the left, you are essentially dividing the original number by 100. This is because each place value to the left of the decimal point represents a power of 10. So moving the decimal point two places to the left is the same as dividing by 10 raised to the power of 2, which is equal to 100. For example, if you have the number 450, moving the decimal point two places to the left gives you 4.50, which is 1/100 of 450. Therefore, you can divide any number by 100 by moving the decimal point two places to the left.

Therefore, the volume of the rectangular box is 48 cubic inches.

To calculate the volume of a rectangular box, we need to know the areas of its faces. Let's denote the length, width, and height of the box as L, W, and H, respectively. Given that the areas of the box's faces are 24 square inches, 16 square inches, and 6 square inches, we can set up the following equations:

L * W = 24 (Equation 1)

W * H = 16 (Equation 2)

L * H = 6 (Equation 3)

To find the volume, we need to determine the values of L, W, and H.

From Equation 1, we can express L in terms of W:

L = 24 / W

Substituting this value of L in Equation 3, we have:

(24 / W) * H = 6

Simplifying, we get:

H = 6W / 24

H = W / 4

Now, substituting the values of L and H into Equation 2, we have:

(W) * (W / 4) = 16

Simplifying, we get:

\(W^2 / 4 = 16\)

Multiplying both sides by 4, we have:

\(W^2 = 64\)

Taking the square root of both sides, we get:

W = 8

Substituting this value of W into Equation 1, we have:

L * 8 = 24

Solving for L, we get:

L = 3

Finally, substituting the values of L, W, and H into the volume formula, we have:

Volume = L * W * H

Volume = 3 * 8 * (8 / 4)

Volume = 3 * 8 * 2

Volume = 48 cubic inches

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Answer:

49x^4-70x^3+319x^2-420x+150, first option

Step-by-step explanation:

Just do (7x^3-5x^2+42x-30) times (7x-5)

and you will get 49x^4-35x^3-35x^3+25x^2+294x^2-210x-210x+150.

All this would simplify to the first option.

49x^4 - 35x^3 - 35x^3 + 25x^2 + 294x^2 - 210x - 210x + 150

= 49x^4 - 70x^3 + 319x^2 - 420x + 150

ANSwer: The first one.

The ponderal index cannot be computed without the value of the constant "a" in the formula. Therefore, the ponderal index for a person who is 76 inches tall and weighs 192 pounds cannot be determined.

To compute the ponderal index, we need the formula and the value of the constant "a."

a) The formula for the ponderal index is given as I = a, where I represents the ponderal index and a is a constant. However, the value of the constant "a" is missing in the provided information. Without knowing the value of "a," we cannot compute the ponderal index for a person who is 76 inches tall and weighs 192 pounds.

b) Similarly, without knowing the value of the constant "a," we cannot determine the weight of a man who is 77 inches tall and has a ponderal index of 11.56.

To compute the ponderal index or determine the weight, we need the specific value of the constant "a" in the given formula.

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The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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Answer:

C

Step-by-step explanation:

Just finished that assessment!

Hope this helps

The given expression represents the z-score with an area to its right, indicating the probability of observing a value greater than the z-score.

The z-score, also known as the standard score, measures the distance between a given data point and the mean of a distribution in terms of standard deviations. It is calculated by subtracting the mean from the data point and dividing the result by the standard deviation. The resulting z-score represents the number of standard deviations a data point is away from the mean.

When we refer to the expression denoting the z-score with an area to its right, we are essentially talking about the cumulative probability associated with the z-score. This probability represents the area under the normal distribution curve to the right of the given z-score. In other words, it indicates the likelihood of observing a value greater than the z-score.

By utilizing statistical tables or software, we can determine the exact value of the area or probability associated with a given z-score. This information is useful in various applications, such as hypothesis testing, confidence intervals, and determining percentiles in a distribution. It allows us to make inferences and draw conclusions based on the relative position of a data point within a distribution.

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Answer:

1. 8a+3c

Step-by-step explanation:

5a+2c+3a+c

8a+2c+c

Solution: 8a+3c

I hope this helps!

The particular solution of the differential equation  y''-5y' 4y=8e^x is A*e^x form.

To find the form of the particular solution for the given differential equation, y'' - 5y' + 4y = 8e^x, we will first identify the terms involved and then determine an appropriate trial function for the particular solution.

Given differential equation: y'' - 5y' + 4y = 8e^x

Here, the left side represents a linear differential equation with constant coefficient and the right side is the non-homogeneous term (8e^x).

To find the form of the particular solution, we'll assume a trial function based on the non-homogeneous term. Since the non-homogeneous term is 8e^x, our trial function will have the form:

Trial function: Y_p(x) = A*e^x

Now, we need to find the derivatives of Y_p(x) and substitute them into the differential equation:

First derivative: Y_p'(x) = A*e^x
Second derivative: Y_p''(x) = A*e^x

Substituting these into the differential equation:

(A*e^x) - 5(A*e^x) + 4(A*e^x) = 8e^x

Simplifying the equation:

(A - 5A + 4A)e^x = 8e^x

Now, we compare the coefficients:

A = 8

So, the form of the particular solution for the given differential equation is Y_p(x) = 8e^x

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Since point P(-3, 1) is rotated 270° and then reflected across y = x, the value of point P′′ is equal to (-3, -1).

A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

In Geometry, rotating a point 270° about the origin in a clockwise or direction would produce a point that has the coordinates (-y, x).

By applying a rotation of 270° clockwise to point P, the location of P" is given by:

(x, y)   →   (-y, x)

Point P at (-3, 1)   →   (-y, x) = Point at P" = (-1, -3)

Next, we would reflect point P" across y = x to have:

(x, y)   →   (y, x)

Point at P" = (-1, -3)  →  Point at P" = (-3, -1).

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The height and width of the box shipped is 15 and 8 inches respectively.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2( lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, The width of the box is seven inches less than the height.

Assuming the width to be 'w' hence the height(h) = w + 7 and has a length of 24 inches with a volume of 2880 cubic inches.

We know the volume(V) of a cuboid is l×w×h.

Therefore,

24×w×(w + 7) = 2880.

24w(w + 7) = 2880.

24w² + 168w = 2880.

6w² + 42w = 720.

w² + 7w = 120.

w² + 7w - 120 = 0.

w² + 15w - 8w - 120 = 0.

w(w + 15) - 8(w + 15) = 0.

(w + 15)(w - 8) = 0.

w = 8 and hence h = 8 = 7 = 15.

So, the width and height of the box is 8 and 15 inches respectively.

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The numerical length of PQ is 20

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the line segments are: -

OQ=11  O P = 9

The numerical value of PQ will be calculated as below.

OP+OQ=PQ

11+9=PQ=11+9=PQ

Therefore PQ=20=PQ

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