any p/q combination other than 50%/50% will result in a higher sample size because p times q is in the numerator of the formula. true false

A continuous function is a function where small changes in the input result in small changes in the output, with no abrupt jumps or breaks in the function's graph.

Since f(x,y) is independent of x, we can write it as f(x,y) = g(y). We are given that the integral of g(x) from 0.3 to 10 is 1, so we can write:

∫0.3^10 g(x) dx = 1

Using this information, we can find g(y) by integrating g(x) with respect to x:

g(y) = ∫0.3^10 g(x) dx / ∫0^10 dx
g(y) = 1 / 9.7

Now, we can find f(x,y) by substituting g(y) into f(x,y) = g(y):

f(x,y) = g(y) = 1 / 9.7

We need to find the integral of f(x,y) over the rectangle R, which is:

∫0^3 ∫0^10 f(x,y) dy dx
∫0^3 ∫0^10 1 / 9.7 dy dx
(1 / 9.7) ∫0^3 ∫0^10 dy dx
(1 / 9.7) * 3 * 10
= 3.0928

Therefore, the value of the integral of f(x,y) over the rectangle R is 3.0928.

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When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The correct option is B.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

In the ΔGEF, the value of Sin(E) is,

Sin(E) = GF/GE

In the ΔDEF, the value of Sin(E) is,

Sin(E) = FD/FE

Hence, the correct option is B.

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Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Answer: it would take her 15 hours to read 400 pages

Step-by-step explanation: 400 devided by 80 is 5 and 5 x 3 = 15 hours

Answer: 15 hours to read 400 pages

Answer:

3/2 - 4 = y

Step-by-step explanation:

2y - 3x = -8 original problem

2y -3x + 8 = 0 addition property of equality

-3x + 8 = -2y subtraction property of equality

3/2x - 4 = y division property of equality

Step-by-step explanation:

Podemos usar trigonometría para resolver el problema. Sea h la altura del mango sobre el suelo y d la distancia entre el pie del árbol y el punto donde Marcela se encuentra en cada observación.

En la primera observación, la tangente del ángulo de elevación es igual a la altura del mango dividido por la distancia d:

tan(32°) = h / d

En la segunda observación, podemos escribir una ecuación similar con un ángulo de elevación de 60°:

tan(60°) = (h - 12) / d

Despejando h en ambas ecuaciones y igualando, obtenemos:

h / tan(32°) = (h - 12) / tan(60°)

Despejando h:

h = (tan(32°) / tan(60°)) * 12

Evaluando la expresión en la calculadora, obtenemos:

h ≈ 5.6 m

Por lo tanto, el mango se encuentra a una altura de aproximadamente 5.6 metros sobre el suelo.

By the limit comparison test, the series ∑(1+9^n)/(4n) from n=1 to infinity diverge

We are asked to determine whether the series ∑(1+9^n)/(4n) from n=1 to infinity is convergent or divergent.

We can use the ratio test to determine the convergence of the series. Let's compute the ratio of the (n+1)th term to the nth term:

[(1+9^(n+1))/(4(n+1))] / [(1+9^n)/(4n)]

= (1+9^(n+1))/(1+9^n) * (n/ (n+1))

As n approaches infinity, the term (n/(n+1)) approaches 1, and the ratio becomes:

(1+9^(n+1))/(1+9^n)

Since the ratio does not approach a finite value as n approaches infinity, the ratio test is inconclusive. Therefore, we cannot determine the convergence of the series using the ratio test.

However, we can use the limit comparison test with the series 1/n^p, where p=1/2. Let's compute the limit of the ratio:

lim n→∞ [(1+9^n)/(4n)] / [1/n^(1/2)]

= lim n→∞ (n^(1/2) * (1+9^n))/(4n)

= lim n→∞ (n^(1/2) + 9^n/ (4n^(1/2)))

Since the first term approaches infinity as n approaches infinity and the second term approaches zero, the limit diverges. Therefore, by the limit comparison test, the series ∑(1+9^n)/(4n) from n=1 to infinity diverges.

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(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)

Let us find the dual of the above primal problem.

Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)

and\($y_1, y_2, ..., y_m \geq 0$\)

(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)

Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)

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If the boys and girls must alternate, the total number of ways they can sit in a row is (b+g)!/(b/2)! (g/2)!.

If the boys and girls must alternate, then the first seat can be occupied by a boy or a girl. Without loss of generality, let's assume that the first seat is occupied by a boy. Then, the second seat must be occupied by a girl, the third seat by a boy, the fourth seat by a girl, and so on.

Let's say there are b boys and g girls. Then, there are b+g people in total. We can arrange the boys in b! ways and the girls in g! ways. However, we must also take into account the fact that the first seat is occupied by a boy. Since there are b choices for the first seat, there are b!(g-1)! ways to arrange the boys and girls if the first seat is occupied by a boy.

Similarly, if the first seat is occupied by a girl, then there are g!(b-1)! ways to arrange the boys and girls.

Therefore, the total number of ways to arrange the boys and girls if they must alternate is:

b!(g-1)! + g!(b-1)!

which can be simplified to:

(b+g)!/(2!(b/2)!(g/2)!) * (b/2)!(g/2)! + (b+g)!/(2!(b/2)!(g/2)!) * (b/2)!(g/2)!

= (b+g)!/(2!(b/2)!(g/2)!) * 2 * (b/2)!(g/2)!

= (b+g)!/(b/2)!(g/2)!

Therefore, the number of ways the boys and girls can sit in a row if they must alternate is (b+g)!/(b/2)!(g/2)!.

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The two correct statements are (b) and (e). The train travels 1 7/11 miles per minute or 98 2/11 miles per hour. The result is obtained by using the equation of the speed.

The equation of speed can be expressed as

Speed = S/t

Where

The train travels 3/2 miles in 11/12 of a minute. It means that

The speed of the train is

= S/t

= (3/2) miles / (11/12) minutes

= (3×12) / (2×11)

= 18/11

= 1 7/11 miles per minute

If we convert it to miles per hour, it would be

= (18/11) × (60/1)

= 1080/11

= 98 2/11 miles per hour

We can also say the speed as the unit rate.

Hence, the two correct statements in options are (b) The unit rate is 1 7/11 miles per minute, and (e) The train travels 98 2/11 miles per hour.

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The minimum amount of plastic wrap needed to completely wrap 6 containers is c.379.2 in2 therefore option c.379.2 is correct.

To calculate the surface area that needs to be covered by plastic wrap, we need to find the lateral surface area of each container and multiply it by the number of containers, and then add the surface area of the top and bottom of each container.

The lateral surface area of a cylinder is given by the formula:

Lateral Surface Area = height x circumference

where circumference = π x diameter

Substituting the given values, we get:

Lateral Surface Area = 4 x 3.14 x 3.5 = 43.96 square inches

The surface area of the top and bottom of each container is given by the formula:

Surface Area of top and bottom = π x (radius)2

Substituting the given values, we get:

Surface Area of top and bottom = 3.14 x (1.75)2 = 9.62 square inches

So, the total surface area that needs to be covered by plastic wrap for one container is:

Total Surface Area = Lateral Surface Area + 2 x Surface Area of top and bottom

Total Surface Area = 43.96 + 2 x 9.62 = 63.2 square inches (rounded to the nearest tenth)

Therefore, the minimum amount of plastic wrap needed to completely wrap 6 containers is:

6 x Total Surface Area = 6 x 63.2 = 379.2 square inches (rounded to the nearest tenth)

Thus, the answer is 379.2 in2.

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Answer:

The answer is: y= -2x+6

-

The y-intercept, as shown in the graph, is 6.

The slope is -2.

Which leads us to the answer being y= -2x+6

There will be 312 pennies and 162 nickels that will make up to $11.22 and there are 474 coins altogether.

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is the expression. An expression in mathematics is a combination of numbers, variables, and functions. Expressions and phrases are similar in structure.

Here,

A penny is worth 1 cent.

A nickel is worth 5 cents.

A dime is worth 10 cents.

A quarter is worth 25 cents.

A dollar is worth 100 cents.

Let there be x pennies and y nickels.

x+y=474

0.01x+0.05y=11.22

Now,

0.01x+0.01y=4.74

0.01x+0.05y=11.22

subtracting both,

-0.04y=-6.48

y=6.48/0.04

y=162 nickels

x+162=474

x=312 pennies

There will be 312 pennies and 162 nickels totaling $11.22, for a total of 474 coins.

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Answer:

0.571

Step-by-step explanation:

Answer:

0.571

Step-by-step explanation:

divide 4 and 7

Answer:

it appears to be going up by adding odd numbers

Step-by-step explanation:

2+3=5+5=10+7=17+9=26 ect....

Answer: B. 16 feet

Step-by-step explanation:

We know that the length is 20 feet longer that the width. If the length of the park is 36 feet, the width is 20 feet less.

36 - 20 = 16 feet

So, the width of the park is 16 feet.

hope this helps!

Answer:

It is 24%

Step-by-step explanation:

The equation of the least-squares regression line is y = 0.75x + 2.5. A regression analysis is conducted using the given data on the lengths and corresponding weights of the bluegill fish.

To find the equation of the least-squares regression line, a regression analysis is conducted using the given data on the lengths and corresponding weights of the bluegill fish. The least-squares regression line is a line that minimizes the sum of the squared differences between the observed values and the predicted values. In this case, the equation of the line is in the form y = mx + b, where y represents the weight of the fish, x represents the length of the fish, m is the slope of the line, and b is the y-intercept. The coefficient 0.75 represents the slope of the line, indicating that for every unit increase in length, the weight increases by 0.75 units. The y-intercept, 2.5, indicates the weight when the length is 0.

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Answer:

Q

Step-by-step explanation:

I just know I guess

Answer:

I DONT KNOW WHAT IT IS BUT ITS NOT Q TRUST ME

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

one is just bigger than the other if you blow the little one up than you can see they are the same!

Step-by-step explanation:

1. 5+2+3=5+(2+3) 2. 9a is equivalent to 11a-2a 3. 7a + 04 - 2a is equivalent to 7a + -2a + 4 4. 8a-(8a-8) is equivalent or = to 8.

Answer:

34 cm squared

Step-by-step explanation:

You would need to fill in the cut out part of the shape. Find the area of the whole shape minus the area of the cut out shape.

Area of the bigger shape :6*9 =54cm squared

Area of the cut out shape:4*4=20cm squared

Answer:

$(19x + 42n + 15)

Step-by-step explanation:

Devi bought 7 skirts at $x each, n skirts at $12 each, (2n + 1) skirts at $15 each and 4 skirts at $3x each. Find the total cost of the skirts she bought.​

total cost of the skirt bought can be determined by adding the  total costs of each shirt bought

7 skirts at $x each = $7x

n skirts at $12 each = $12n

(2n + 1) skirts at $15 = (2n + 1) x 15 = 30n + 15

4 skirts at $3x each = $12x

7x + 12n + 30n + 15 + 12x

combine like terms

19x + 42n + 15

The expression for the total number of cans of food would be: 9s

A variable is a symbol or letter that denotes a possible range of values or quantities. It is used to express relationships between numbers and to solve equations and problems, and is typically represented by a letter like x, y, or z.

A variable's value can be determined by its context of use or by resolving an inequality or equation that it appears in. Variables are frequently used in algebra to represent unknowns or to simplify challenging formulas.

Let's use the variable "s" to represent the number of students participating in the food drive.

Then, the expression for total number of cans of food would be: 9s

This is because each student is committing to bringing 9 cans of food, so if there are "s" students participating, then the total number of cans of food would be 9 times the number of students (9s).

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Answer:

xxx 20

Step-by-step explanation:

Answer:

Part A: 5

Part B: 2

Step-by-step explanation:

to find the mean all you have to do is add all the numbers together and then divide it by how many numbers there are in the data set

3+4+4+4+5+6+6+8=40

40÷8=5

so the mean is 5

next to find the mean of absolute deviations you need to subtract each number in the data set from the mean then divide it by how many numbers are in the data set (if you get a negative like 6-5=-1 just take away the negative sign to make it positive)

5-3=2

5-4=1

5-4=1

5-4=1

5-5=0

6-5=-1

6-5=-1

8-5=-3

2+1+1+1+0+1+1+3=10

10÷5=2

so the mean absolute deviation is 2

Answer:

Part A: 5

Part B: 2

Step-by-step explanation:

to find the mean all you have to do is add all the numbers together and then divide it by how many numbers there are in the data set

3+4+4+4+5+6+6+8=40

40÷8=5

so the mean is 5

next to find the mean of absolute deviations you need to subtract each number in the data set from the mean then divide it by how many numbers are in the data set (if you get a negative like 6-5=-1 just take away the negative sign to make it positive)

5-3=2

5-4=1

5-4=1

5-4=1

5-5=0

6-5=-1

6-5=-1

8-5=-3

2+1+1+1+0+1+1+3=10

10÷5=2

so the mean absolute deviation is 2