You are planning an engagement party. You want to make sure that all of the guests will enjoy the music. You are inviting 10 children, 12 teenagers, 33 people in their twenties, 20 people in their fifties and 10 people in their seventies. How would you design a stratified sample if you only want to survey 25 people?

a) To find the limit as x approaches -2, you would look at the behavior of the graph as x gets closer and closer to -2 from both sides.

b) To find the limit as x approaches 3 from the right (x → 3+), you would consider the behavior of the graph as x approaches 3 from values greater than 3.  

c) To find the limit as x approaches -3, you would examine the behavior of the graph as x gets closer and closer to -3 from both sides.  

d) To find the value of f(-2), you would look at the point on the graph where x = -2 and determine the corresponding y-coordinate.  

e) To find the limit as x approaches 7, you would analyze the behavior of the graph as x gets closer and closer to 7 from both sides.  

f) To find the limit as x approaches -∞ (negative infinity), you would observe the behavior of the graph as x becomes increasingly negative.  

g) To find the limit as x approaches ∞ (infinity), you would observe the behavior of the graph as x becomes increasingly large.  

h) To find the value(s) of x when f(x) = -1, you would look for the point(s) on the graph where the y-coordinate is -1.  

i) To find the limit as x approaches 2 from the left (x → 2-), you would consider the behavior of the graph as x approaches 2 from values less than 2.

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The system of equations has no solution.

We have,

The system of equations is:

5x + 64 = -20 (Equation 1)

9 + 2x = 25 (Equation 2)

To solve for x, we can start by isolating x in Equation 2:

9 + 2x = 25

Subtracting 9 from both sides.

2x = 16

Dividing both sides by 2.

x = 8

Now that we know x = 8, we can substitute this value into Equation 1 and solve for the remaining variable:

5x + 64 = -20

Substituting x = 8.

5(8) + 64 = -20

Simplifying the left side.

40 + 64 = -20

This is a contradiction since 104 cannot be equal to -20.

Therefore,

The system of equations has no solution.

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The length of IKE is 2x - 12.

A condition on a variable that is true for just one value of the variable is called an equation.

Since KITE is a kite, we know that KT = IT and KE = IE. Let's call the length of these diagonals d. Then we have:

KT + TI = d

KE + EI = d

Substituting in the given values, we get:

x + 6 + 2x = d

2x + IE = d

Solving for d in the first equation, we get:

3x + 6 = d

Substituting this into the second equation, we get:

2x + IE = 3x + 6

Solving for IE, we get:

IE = x + 6

Therefore, IKE is equal to:

IKE = IT - IE

IKE = (d - KT) - (x + 6)

IKE = (3x + 6 - x - 6) - (x + 6)

IKE = 2x - 12

So, the length of IKE is 2x - 12.

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Answer:

Step-by-step explanation:

   2.3, rounded

Answer:

Not really,maybe he just went in to find something,just that he didn't that's why maybe he didn't steal anything

Step-by-step explanation:

Answer:

Not necessarily. The robbers might've seen something or someone in your house and ran. They also could've heard something and thought you were home. So, if a robber breaks into your house but runs almost immediately you migt want to get your house checked out. Or, the robbers did think you were poor. Sorry.

Step-by-step explanation:

The experimental probability of weather causing school to be canceled in at least three of the next four school years is (3+1)/24, which simplifies to 1/6 or approximately 0.1667.

To find the experimental probability of weather causing school to be canceled in at least three of the next four school years, we need to count the number of times there were three or more cancellations in each set of four years and divide that by the total number of sets of four years.

According to the table of simulated values, there are 24 sets of four years. Out of these, there were three or more cancellations in three sets of four years, and there were four cancellations in one set of four years.  Therefore, the experimental probability of weather causing school to be canceled in at least three of the next four school years is 20%.

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The roots of the polynomial are the solutions to that equation.

If you consider the original equation, \(y=x^2-7x+10\), and the equation you're solving, \(x^2-7x+10=0\), the connection is that y=0.  

In terms of the graph, you're looking where the graph crosses the line y=0, which is the x-axis.

In short, the solutions to that equation are the x-values where your graph crosses the x-axis: 2 and 5.

You can double check this by substituting in 2 and 5 (one at a time) to verify that they are solutions to the equation.

The solutions for θ with 0 ≤ θ < 2π are approximately 0.3398 radians and approximately 2π - 0.3398 radians.

To solve the equation csc(θ) = 3, where 0 ≤ θ < 2π, we need to find the values of θ that satisfy this equation.

Recall that the cosecant function (csc) is the reciprocal of the sine function. Therefore, we can rewrite the equation as sin(θ) = 1/3.

To find the values of θ that satisfy this equation, we can use the inverse sine function (sin^(-1)).

sin(θ) = 1/3

θ = sin^(-1)(1/3)

Using a calculator or a trigonometric table, we can find the inverse sine of 1/3, which is approximately 0.3398 radians or approximately 19.47 degrees.

However, we need to find all the solutions within the given range of 0 ≤ θ < 2π. Since the sine function has a periodicity of 2π, we can find additional solutions by adding or subtracting multiples of 2π.

The solutions within the given range are:

θ = 0.3398 radians (approximately 19.47 degrees)

θ = 2π - 0.3398 radians (approximately 340.53 degrees)

Therefore, the solutions for θ with 0 ≤ θ < 2π are approximately 0.3398 radians and approximately 2π - 0.3398 radians.

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Answer:

The Linearization of y = (10 + x)^(-1/2) at x = 9 is y ≈ -1/12(x - 9) + 1. It approximates the function near x = 9 with a slope of -1/12 and a y-intercept of 1.

Step-by-step explanation:

The linearization of a function at a specific point is an approximation of the function near that point using a linear function. To find the linearization of the function y = (10 + x)^(-1/2) at x = a, we need to determine the equation of the tangent line to the function at x = a.

First, we find the derivative of the function using the power rule and the chain rule. The derivative of y with respect to x is -1/2(10 + x)^(-3/2).

Next, we evaluate the derivative at x = a to find the slope of the tangent line. Substituting a = 9 into the derivative, we get -1/2(10 + 9)^(-3/2) = -1/38.

Finally, we use the point-slope form of a line and substitute the values of a, the slope, and the coordinates (a, f(a)) into the equation to obtain the linearization of the function. Thus, the linearization at x = 9 is y = -1/38(x - 9) + (10 + 9)^(-1/2).

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The Linearization of y = (10 + x)^(-1/2) at x = 9 is y ≈ -1/12(x - 9) + 1. It approximates the function near x = 9 with a slope of -1/12 and a y-intercept of 1.


The linearization of a function at a specific point is an approximation of the function near that point using a linear function. To find the linearization of the function y = (10 + x)^(-1/2) at x = a, we need to determine the equation of the tangent line to the function at x = a.

First, we find the derivative of the function using the power rule and the chain rule. The derivative of y with respect to x is -1/2(10 + x)^(-3/2).

Next, we evaluate the derivative at x = a to find the slope of the tangent line. Substituting a = 9 into the derivative, we get -1/2(10 + 9)^(-3/2) = -1/38.

Finally, we use the point-slope form of a line and substitute the values of a, the slope, and the coordinates (a, f(a)) into the equation to obtain the linearization of the function. Thus, the linearization at x = 9 is y = -1/38(x - 9) + (10 + 9)^(-1/2).

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The correct statement is a) The line integral of B⋅ds around any closed path equals μ0I, where I is the total steady current passing through any surface bounded by the closed path.

The correct option is a) The line integral of B⋅ds around any closed path equals μ0I, where I is the total steady current passing through any surface bounded by the closed path.

Ampere's law is one of the fundamental equations in electromagnetism and relates the magnetic field B to the electric current I. It states that the line integral of the magnetic field around a closed path is equal to the permeability of free space (μ0) times the total steady current passing through any surface bounded by the closed path.

Option b) is incorrect because Ampere's law does not state that the line integral of B⋅ds around any closed path equals zero. It relates it to the current passing through the surface.

Option c) is also incorrect because Ampere's law does not directly address the net magnetic flux through a closed surface. It specifically relates the line integral of the magnetic field around a closed path to the current passing through the surface.

Option d) is incorrect because the net magnetic flux through any closed surface is not equal to μ0. The net magnetic flux through a closed surface depends on the distribution of magnetic field lines and the characteristics of the surface.

Therefore, the correct statement is a) The line integral of B⋅ds around any closed path equals μ0I, where I is the total steady current passing through any surface bounded by the closed path.

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Answer:

3.83333333333

Step-by-step explanation:

Answer:

1. (1/4)

2. (3/3)

3. (6/4)

4. (6/3)

Step-by-step explanation:

3

---  = 1

3

----------------

6

---  = 2

3

-------------------

4

---  = 4

1

----------------------

1

---  = 0.25

4

------------------------

6

---  = 1.5

4

--------------------------

1

---  = 0.33

3

--------------------------

Since the number line is in 4ths

1. (1/4)

2. (3/3)

3. (6/4)

4. (6/3)

I hope this helps!

Answer:

the first answer is no

the second one is square

sorry if it is wrong

Answer:

the first one

In this scenario, we can expect most of the light bulbs to have lifetimes close to 10 months, with some variation due to the standard deviation of 2 months.

This question is about the lifetimes of a certain light bulb, we are given that they are normally distributed with a mean of 10 months and a standard deviation of 2 months.
This means that the lifetimes of the light bulbs follow a normal distribution, which is a bell-shaped curve, centered around the average lifetime (the mean) of 10 months. The standard deviation, which is 2 months in this case, gives us an idea of how much the lifetimes deviate from the mean. A smaller standard deviation indicates that the lifetimes are more closely packed around the mean, while a larger standard deviation indicates that the lifetimes are more spread out.

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The value that would make the inequality statement true is 90.84629.

Here, we have

Given:

To make the inequality statement true: 9.53 < √a < 9.54, we can proceed as follows:

Since 9.54 - 9.53 = 0.01

We must find a value of a that has a square root that falls between 9.53 and 9.54.

A way to do this is to square the values of 9.53 and 9.54, and find a value of a that has a square root between these two values:

Squaring 9.53 and 9.54, we get:9.53² = 90.82098...9.54² = 90.8716...

Therefore, we must find a value of a that lies between 90.82098 and 90.8716.

We can choose the midpoint between these two values, which is:(90.82098 + 90.8716)/2 = 90.84629.

So the value that would make the inequality statement true is 90.84629.

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Answer:

No solution.

Step-by-step explanation:

Nothing can be further done

Answer:

5,10,20

Step-by-step explanation:

multiples to 20

5

10

20

Step-by-step explanation:

the potential cards with multiples of 5 are :

5 10 15 20

the sum of all 4 cards is less than 40.

and exactly 3 of the cards are even. that means the 4th card is odd or uneven.

exactly 3 cards are a multiple of 5. that means the 4th card is something else.

what chances do we have to pick from the multiples of 5 ?

can we pick the 2 uneven ones ? no, that would violate the even card condition.

so, we must pick the 2 even ones : 10, 20

they are fixed.

now, 10+20 = 30, so, we cannot pick 15 as the third multiples of 5 card, or we violate the less than 40 rule.

so, we can only pick 5 as the third multiple of 5 card.

now, we have already 5, 10 and 20 (in sum 35).

the 4th card must be even (so that we get 3 even number cards), and it must be small, so that the total sum stays less than 40.

that means we can only pick 2 or 4 as the 4th card.

therefore, we have the 2 possibilities of picked cards :

2, 5, 10, 20

4, 5, 10, 20

Answer:

still 10 even tho you took 3

Step-by-step explanation:

The number of kids that are at Ruben's party will be 8 kids.

Based on the information given, the equation to solve the question will be:

18 × x = 144

18x = 144

x = 144/18

x = 8

Therefore, there are 8 kids at the party.

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Timothy is currently 7 years old and Adele's current age is 12 years old.

To solve this age problem involving Adele and Timothy, we can set up two equations based on the information given. Let A represent Adele's current age and T represent Timothy's current age. The problem states:
Adele is 5 years older than Timothy: A = T + 5
In three years, Timothy will be 2/3 of Adele's age: (T + 3) = (2/3)(A + 3)
First, let's rewrite equation 1 in terms of T: T = A - 5
Now, substitute this expression for T into equation 2:
(A - 5 + 3) = (2/3)(A + 3)
Simplify the equation:
A - 2 = (2/3)(A + 3)
Multiply both sides by 3 to eliminate the fraction:
3(A - 2) = 2(A + 3)
Expand:
3A - 6 = 2A + 6
Now, solve for A:
A = 12
So, Adele's current age is 12 years old. To find Timothy's age, we can use the equation T = A - 5:
T = 12 - 5 = 7
Thus, Timothy is currently 7 years old. Therefore, the correct answer is not among the given options, as Adele's current age is 12 years.

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Answer:

13 1/3 miles per hour

Step-by-step explanation:

Take the distance and divide by the time

1 1/3 ÷ 1/10

Change to an improper fraction

4/3 ÷ 1/10

Copy dot flip

4/3 * 10/1

40/3 miles per hour

changing to a mixed number

13 1/3 miles per hour

a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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Answer:

d

Step-by-step explanation:

because it needs a period to complete the thought?

If there is one pear for every three peaches, we can set up a ratio:

1 pear : 3 peaches

To find out how many peaches there are, we need to know how many pears there are. If we have 5 peaches, we can solve for the number of pears:

1 pear : 3 peaches = x : 5 peaches

Cross-multiplying gives us:

3x = 5

x = 5/3

So if we have 5 peaches, we would expect to have approximately 1.67 pears.

Similarly, if we have 9 peaches, we can solve for the number of pears:

1 pear : 3 peaches = x : 9 peaches

Cross-multiplying gives us:

3x = 9

x = 3

So if we have 9 peaches, we would expect to have 3 pears.