what is the standard error for the difference in the sample proportions? (use the confidence-interal standard error and round to 5 digits after the decimal place.) g

Step-by-step explanation:

3-2(3x+1)=19

\(3 - 6x - 2 = 19 \\ 1 - 6x = 19 \\ - 6x = 19 - 1 \\ - 6x = 18 \\ x = - 3\)

Answer:

,,,

Step-by-step explanation:

Answer:

Scientifically proven that there is a 60% chance you will get an odd number and a 40% chance you will get an even number.

I hope this helps!!

The team won 24 games out of the 32 they played.

A ratio is an ordered pair of numbers a and b, written a / b in which b does no longer equal 0. A proportion is an equation wherein two ratios are set the same for every other. In arithmetic, a ratio suggests how commonly one wide variety contains every other. as instance, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is 8 to 6 (this is, eight:6, that is equivalent to the ratio four: three).

The share system is used to depict if two ratios or fractions are the same. we are able to locate the lacking fee by using dividing the given values. the share components can be given as a: b::c : d = a/b = c/d, where a and d are the extreme phrases and b and c, are the suggested phrases.

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The PMF of s is:

\(P(s = 0) = (1-p)^n + (1-p)\))

P(s = 1) = np(1-p)

The random variable s = xy can take on the values 0 or 1, depending on the values of x and y. We want to find the probability distribution of s.

We can start by finding the probability mass function (PMF) of s. For s = 0, we have:

P(s = 0) = P(xy = 0) = P(x = 0) + P(y = 0)

where the second equality follows from the fact that x and y are independent, so P(xy = 0) = P(x = 0)P(y = 0).

Using the PMF of x and y, we have:

P(s = 0) = P(x = 0) + P(y = 0)

= (1-p)^n + (1-p)

For s = 1, we have:

P(s = 1) = P(xy = 1) = P(x = 1)P(y = 1)

Using the PMF of x and y, we have:

P(s = 1) = P(x = 1)P(y = 1)

= np(1-p)

Therefore, the PMF of s is:

\(P(s = 0) = (1-p)^n + (1-p)\))

P(s = 1) = np(1-p)

This distribution is called a mixture distribution, which is a combination of the Bernoulli and binomial distributions. We can see that when p = 0, s is always equal to 0, and when p = 1, s follows a binomial distribution with parameters n and p. When 0 < p < 1, s has a nontrivial mixture distribution.

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To differentiate the function f(x) = ln[((1 - 8x)^5) / ((2x + 9)(x + 2)^4)], we will apply the chain rule and the quotient rule. Firstly, we will differentiate the logarithmic function with respect to its argument, using the chain rule.

Let's differentiate the function f(x) = ln[((1 - 8x)^5) / ((2x + 9)(x + 2)^4)] step by step.

Using the chain rule, we differentiate the logarithmic function with respect to its argument:

d/dx[ln(u)] = (1/u) * du/dx

In our case, u = ((1 - 8x)^5) / ((2x + 9)(x + 2)^4). Therefore, the derivative becomes:

[1/u] * du/dx = [1/((1 - 8x)^5) / ((2x + 9)(x + 2)^4)] * d/dx[((1 - 8x)^5) / ((2x + 9)(x + 2)^4)]

Next, we differentiate the numerator and denominator separately:

d/dx[((1 - 8x)^5) / ((2x + 9)(x + 2)^4)] = [((2x + 9)(x + 2)^4 * d/dx((1 - 8x)^5)) - ((1 - 8x)^5 * d/dx((2x + 9)(x + 2)^4))] / ((2x + 9)(x + 2)^4)^2

Using the power rule and product rule, we differentiate each term:

d/dx((1 - 8x)^5) = 5(1 - 8x)^4 * (-8)

d/dx((2x + 9)(x + 2)^4) = (2(x + 2)^4 + (2x + 9) * 4(x + 2)^3)

Simplifying these expressions, we have:

d/dx[((1 - 8x)^5) / ((2x + 9)(x + 2)^4)] = [((2x + 9)(x + 2)^4 * (-40(1 - 8x)^4)) - ((1 - 8x)^5 * (2(x + 2)^4 + (2x + 9) * 4(x + 2)^3))] / ((2x + 9)(x + 2)^4)^2

This expression represents the derivative of f(x) with respect to x.

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Donna is not correct, as the mean is of 7.1 kg, which is greater than 7 kg.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

The sum of the data-set in this problem is given as follows:

4 x 5 + 5 x 9 + 1 x 6 = 71 kg.

The number of observations is given as follows:

10.

Hence the mean is given as follows:

71/10 = 7.1 kg > 7 kg.

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The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Answer:

∠3 ≅ ∠5 and ∠1 ≅ ∠4 = Alternate Interior Angles Theorem

m∠1 = m∠4 and m∠3 = m∠5 = Congruent angles have equal measures

Step-by-step explanation:

Plato/Edmentum

Answer:

The answer is in the picture.

Hope this helps!

Step-by-step explanation:

System state space model is: y = [1  0] x. y = 4 is an equilibrium point.  x(t) = P∧(Dt)P−1 x(0) is the state transition matrix. The system is stable. The transfer function of the system is U(s)X(s) = [(s-2)²+ 4]⁻¹ [(s-2)  -2; 2  (s-2)] [0 2].

(a) i) System state space model:

x = [y  y']T;

dx/dt = [0  2; -1  1]x + [0  2]T u;

y = [1  0] x

Here, x represents the state vector.

ii) The equilibrium point(s) of the system if u is a constant value equal to 4: dy/dt = 0

Thus, 2y = 8 or y = 4. Therefore, y = 4 is an equilibrium point.

(b) The state transition matrix for autonomous linear systems is derived as follows:

If A is diagonalizable, then there exist an invertible matrix P and diagonal matrix D such that A = PDP−1.

Thus, x(t) = P∧(Dt)P−1 x(0) is the solution where exp(Dt) is calculated from the diagonal entries of D and t is the time of propagation.

(c) i)The stability of the system is determined by the eigenvalues of the system matrix A. If all the eigenvalues have a negative real part, the system is stable. If one of the eigenvalues has a positive real part, the system is unstable. And, if one eigenvalue has a zero real part, the system is marginally stable. Since the system has two eigenvalues with negative real parts, it is stable.

ii) The transfer function of the system is given as follows:

U(s) → X(s): X(s) = (sI − A)−1 B U(s)Y(s) → X(s): Y(s) = CX(s) = C(sI − A)−1 B U(s)

Thus, substituting the values of A, B, and C we get,Y(s) = [1 -1] [(s-2)²+ 4]⁻¹ [(s-2)  -2; 2  (s-2)] [0 2]

U(s)X(s) = [(s-2)²+ 4]⁻¹ [(s-2)  -2; 2  (s-2)] [0 2]

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The number of signature on the petition in the first week is 6

A double is a number or an amount that is twice as large as the given number or amount. So, if we multiply a number by 2 or if we add a number to itself, we say that the number is doubled.

Since the signature doubles every week

represent the initial signature by x

p(o) = x

second week =2 x

third week =4 x

fourth week = 8x

fifth week =16 x

sixth week = 32x

32x = 192

x = 192/32

x = 6

therefore the number of signature on the petition in the first week is 6

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The expression which represents either the length or width is (x+3). The correct answer is option (c).

Given that the area of a rectangle which is given as x²+5x+6.

We have to find which expression represents either the length or width.

We are given an expression for the area. But we also know that the area of a rectangle is length times width. So the expression we were given, x²+5x+6 must be equal to the length of the rectangle times its width.

So, will find the factoring the expression we can see expressions for the length and the width.

Factoring x²+5x+6 we get (x+2)(x+3).

One of these factors is the width and the other is the length.

Hence, the expression represents either the length or width of the rectangle when the area of a rectangle is given as x²+5x+6 is (x+3).

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The answer is option d. 1.The covariance between two variables x and y is related to their individual variances and the relationship between them.

The formula for covariance is as follows:

Covariance(x, y) = (1/n) * ∑((xᵢ - x bar)(yᵢ - ȳ))

where n is the number of observations, xᵢ and yᵢ are the individual values of x and y, x bar and ȳ are their respective sample means.

Given that the sample variance of x is 4 and the sample variance of y is 1, we can calculate the maximum possible covariance between x and y using the formula:

Maximum Covariance(x, y) = √(variance of x * variance of y)

Maximum Covariance(x, y) = √(4 * 1) = 2

Therefore, the maximum possible covariance between x and y is 2.

From the given options:
a. 0: This value can be the covariance between x and y.
b. 2: This value can be the covariance between x and y (it is the maximum possible).
c. 3: This value can be the covariance between x and y.
d. 1: This value cannot be the covariance between x and y since the maximum possible covariance is 2. So, the answer is option d. 1.

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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We are asked to simply the following polynomial

Let us find the product of the above polynomial and simplify it

Therefore, the simplified polynomial is

The degree of a polynomial is the highest exponent (power)

For the given case, the highest exponent is 2

Therefore, the degree

Answer:

Have u done it

Step-by-step explanation:

The 15 equations and 15 unknowns are part of a system of linear equations. These equations can be used to find the values of the 15 unknowns. The purpose of each set of equations is to determine the unknowns in the system. The equations are derived using algebraic methods such as substitution, elimination, and graphing.

The 15 equations are:

1. x + y = 15

2. x - y = 5

3. 2x + 4y = 60

4. x + 2y = 30

5. 3x + y = 45

6. 3x - y = 35

7. x + 4y = 40

8. 4x + y = 55

9. x - 4y = 5

10. 2x - y = 15

11. 3x - 2y = 20

12. 5x + y = 55

13. x - 5y = -5

14. 2x + 5y = 55

15. 4x - 3y = 25

The 15 unknowns are:

1. x

2. y

3. x + y

4. x - y

5. 2x + 4y

6. x + 2y

7. 3x + y

8. 3x - y

9. x + 4y

10. 4x + y

11. x - 4y

12. 2x - y

13. 3x - 2y

14. 5x + y

15. x - 5y

Each equation is derived using algebraic methods such as substitution, elimination, and graphing. By substituting the known values into the equations, the unknowns can be determined. Elimination is used to get rid of terms from the equations, making it easier to solve for the unknowns. Graphing is used to plot out the equations and to help visualize the relationships between the unknowns and the equations.

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\(\text{Given that,}\\\\(x_1,y_1) = (-3,-1) ~ \text{and slope, m=2.}\\\\\\\text{Equation with two points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +1 = 2(x +3)\\\\\text{Hence the answer is B}\)

the approximate area inside the circular park is approximately 91.7 square feet.

To find the area of a circular park, we need to know the radius of the circle.

Circumference, C = 2πr, where r is the radius of the circle.

We know that the circumference of the park is approximately 34 feet, so:

34 = 2πr

Solving for r, we get:

r = 34 / (2π)

r ≈ 5.4 feet (rounded to one decimal place)

Now that we know the radius, we can find the area of the circular park:

Area, A = πr^2

A ≈ π(5.4)^2

A ≈ 91.7 square feet (rounded to one decimal place)

what is circle?

A circle is a two-dimensional geometric shape that is defined as the set of all points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius of the circle.

The circle is a closed curve, which means that it has no beginning or end, and it is continuous. It has several important properties, including:

Circumference: the distance around the circle, which is equal to 2π times the radius.

Diameter: the distance across the circle, passing through the center, which is equal to twice the radius.

Area: the amount of space inside the circle, which is equal to π times the square of the radius.

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You'll use side-angle-side to prove this.

Side: AB = BC was given

Angle: How do you know that angle ABD = angle CBD?

Side: BD = BD

Answer:

its c

Step-by-step explanation:

just add 1/2 +2/3 = 1 1/6

Total distance of the girls walk all together is 7/6 of a mile.

Here,

Given that;

Amy and Myra each walked from their houses to the mall.

Amy walked one half a mile and Myra walked two-thirds of a mile.

We have to find the total distance of the girls walk together.

What is Distance?

Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.

Now,

Amy walked one half a mile.

⇒ 1/2

Myra walked two-thirds of a mile.

⇒ 2/3

Hence,

Total distance of the girls when they walk together = \(\frac{1}{2} + \frac{2}{3}\)

                                                                              = \(\frac{3+4}{6}\)

                                                                              = \(\frac{7}{6}\)

So, Total distance of the girls walk all together is 7/6 of a mile.

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The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```

It looks like you are trying to create an integer array in Java called "hours" and initialize it with the values 8, 12, and 16. The given statement has incorrect syntax.
Declare the integer array using "int[]" followed by the variable name "hours".

This tells the Java compiler that you want to create an array of integers called "hours".
Use the assignment operator "=" to assign values to the array.
Enclose the values you want to assign to the array within curly braces "{" and "}" and separate each value with a comma.
The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```
Now, the "hours" integer array is initialized correctly with the given values.

The syntax for declaring and initializing an integer array in Java is:

```java
data Type[] array

Name = {value1, value2, value3, ...};
```
In this case, "data Type" is "int", "array

Name" is "hours", and the values are 8, 12, and 16.
Remember to keep your code clean and concise to avoid syntax errors and make it easier for others to understand.

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Answer:

since a whole triangle is 180 you can do 60×3

Answer:

Step-by-step explanation:

Whole triangle = 180°

90 + 60 + 30

Yes, the Mean Value Theorem can be applied to f on the closed interval [1,9]. To determine if the Mean Value Theorem can be applied to the function f(x) = (x - 10)/x on the closed interval [a, b] = [1, 9], we need to check if the function is continuous on the interval and differentiable on the open interval (a, b) = (1, 9).

1. Continuity: The function f(x) = (x - 10)/x is continuous for all x ≠ 0. Since the interval [1, 9] does not include x = 0, the function is continuous on this interval.

2. Differentiability: To check differentiability, we need to find the derivative of f(x). The derivative of f(x) = (x - 10)/x can be found using the Quotient Rule:

f'(x) = [(1)(x) - (x - 10)(1)]/(x^2) = [x - (x - 10)]/(x^2) = 10/x^2

Since the derivative exists for all x ≠ 0 and the interval (1, 9) does not include x = 0, the function is differentiable on this open interval.

Therefore, the Mean Value Theorem can be applied to the function f(x) = (x - 10)/x on the closed interval [1, 9].

Your answer: Yes, the Mean Value Theorem can be applied.

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The value of the composite function is found as 68/5.

The function is given as;

g(x) = 32/(x+3)

Write the function as 'y'

y = 32/(x+3)

Replace the value of x with y.

x = 32/(y+3)

Solve for y.

x(y + 3) = 32

xy = 32 - 3x

y = (32 - 3x)/x

Thus, g⁻¹ (x) = (32 - 3x)/x is the inverse of the function.

Now, find the value composite function;  (g⁻¹ o g) (5).

(g⁻¹ o g) (5) =  (32 - 3x)/x . 32/(x+3)

Put x = 5

(g⁻¹ o g) (5) =  (32 - 15)/5 . 32/(5+3)

(g⁻¹ o g) (5) = 17×4/5

(g⁻¹ o g) (5) = 68/5

Thus, the value of the composite function is found as 68/5.

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Rational numbers are numbers that can be written in form of a fraction. Whereby both numerator and deniminator are integers but the denominator is not zero.

Thus 5.14 can be written as:

Therefore we can say that 5.14 is a rational number

ANSWER:

Yes, 5.14 is a rational number.

Answer: 3275

Step-by-step explanation:

The factor in the graph that supports the idea that the greater the rainfall in June through August, the fewer acres are burned by wildfires is the negative correlation between rainfall and acres burned.

The graph shows a negative correlation between the amount of rainfall in June through August and the number of acres burned by wildfires. As the amount of rainfall increases, the number of acres burned decreases. This suggests that wetter weather can help reduce the risk of wildfires.

The graph provides a visual representation of the relationship between rainfall and wildfires. It shows that there is a clear negative correlation between the two variables. This means that as one variable increases, the other decreases. In this case, the variable of interest is the number of acres burned by wildfires. The graph shows that when there is less rainfall in June through August, more acres are burned by wildfires. Conversely, when there is more rainfall during these months, fewer acres are burned. This makes sense because rainfall can help reduce the risk of wildfires by making vegetation less dry and therefore less susceptible to catching fire. Additionally, wetter weather can help firefighters contain and extinguish fires more quickly and effectively.

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The number after using rational exponents will be 2✓2.

The major rational properties are commutative property, closure property, associative property and distributive property. To solve this question, the rational property to be used is :

\( \sqrt[n]{ab} = \sqrt[n]{a} \times \sqrt[n]{b} \)

As per the known fact, we can write 8 as 2²×2. So, Number = ✓2²×2

Using rational property we will rewrite this number as -

Number = ✓2² × ✓2

Solving the square root

Number = 2✓2

Therefore, as per the rational property we can write the number as 2✓2.

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