Identify three segments parallel to AE using the figure shown. Assume lines and planes that appear to be parallel or perpendicular are parallel or perpendicular, respectively

The conclusion about p using an absolute value inequality would be that |p - 72| ≤ 4. This means that the difference between the true proportion p and the estimated proportion 72% is no more than 4%.

In other words, p is most likely to fall within the range of 68% to 76%, as determined by the margin of error in the statistical polling calculation. This emphasizes the importance of recognizing and accounting for the potential for error and uncertainty in estimating percentages and proportions in various fields, including politics and marketing.
To describe the conclusion about the percentage (p) in statistical polling using an absolute value inequality, you can use the margin of error (4% in this example) as a way to create the inequality.
In this case, we have a poll result of 72% and a margin of error of 4%. So, the absolute value inequality would be:
|p - 72%| ≤ 4%
This inequality shows that the difference between the true percentage (p) and the poll result (72%) should be less than or equal to the margin of error (4%). In other words, the true percentage (p) is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%).

Visit here to learn more about statistical polling:

brainly.com/question/28060172

#SPJ11

Answer: He needs 6 baskets

Step-by-step explanation: Its division 24 divided by 4 equals 6

The 95% confidence interval for the true proportion of people who favor candidate is (0.419,0.481).

A random sample of 1000 people was condidered for testing.

Number of people in sample favoured candidate

= 450

So, sample proportion, p = 450/1000 = 0.45

Confidence level= 95% i.e, alpha = 1 - 0.95=0.05, From standard normal Z- table, the value of Z( 0.025) is equals to 1.96..

Confidence interval formula,

CL = p ± Z× √(p×(1-p)/n)

Lower bound of interval is ,

=0.45 - 1.96× √(0.45× (1-0.45)/1000)

= 0.45 - 1.96× √(0.45× 0.55/1000)

= 0.45 - 1.96× √(0.0002475)

=0.419165~ 0.419

So the Upper bound is

= p + Z×√(p×(1-p)/n)

= 0.45 + 1.96× √(0.45× (1-0.45)/1000)

= 0.45 + 1.96× √(0.0002475)

= 0.480835 ~0.481

Hence, the required confidence interval is (0.419,0.481).

To learn more about Confidence interval, refer:

https://brainly.com/question/15712887

#SPJ4

A continuous function is a mathematical function that has no abrupt changes or interruptions in its graph, meaning it can be drawn without lifting the pen from the paper. To find the decay constant, r, for this continuous function, we can use the formula:

A(t) = A₀ * e^(-rt)

Where:

A(t) is the amount of medication remaining after time t
A₀ is the initial dosage
e is the base of the natural logarithm (approximately 2.71828)
r is the decay constant

Given that the initial dosage is 78 mg and after 3 hours, 48 mg still remains, we can substitute these values into the formula:
48 = 78 * e^(-3r)

Next, we can solve for the decay constant, r. Divide both sides of the equation by 78:
48/78 = e^(-3r)
0.6154 = e^(-3r)

Now, take the natural logarithm of both sides to isolate the exponent:
ln(0.6154) = -3r

Finally, solve for r by dividing both sides by -3:
r = ln(0.6154) / -3

Using a calculator, we find that r ≈ -0.1925.

To find the half-life, h, of the medication, we use the formula:
h = ln(2) / r

Substituting the value of r we just found:
h = ln(2) / -0.1925

Using a calculator, we find that h ≈ 3.6048 hours.

Therefore, the decay constant, r, is approximately -0.1925, and the half-life, h, of the medication is approximately 3.6048 hours.

To know more about decay constant visit:

https://brainly.com/question/23634580

#SPJ11

Answer:

1/ simplify polynomial is x^3 y^2 - x^2 y^3 + xy

2/ Answer is -86

Step-by-step explanation:

x²yxy-xy²xy +xy

Simplify each term, and I get

x^3 y^2 - x^2 y^3 + xy

I may be wrong!

Now let's put -3 in for x and 2 in y and evaluate

(-3)^3  (2)^2 -  (-3)^2  (2)^3  +  (-3 times 2)

(27) (4) - (9) (8) - 6

-86

I may be wrong, but I tried my best to help you since this question has been on for a long time, but no one answered. If I am wrong, I am sorry!

Answer:

1/8 =0.125

Step-by-step explanation:

1/8 =0.125

Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."

The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.

To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.

The complete question is:

Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”

Double-check that both of their variables are quantitative.

Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.

Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?

Your response:.........

Learn more about descriptive statistics at : https://brainly.com/question/28686879

#SPJ11

Answer:

Yes, you were correct with x=5. AB=CD=25 and AC=BD=23

Step-by-step explanation:

You already have x=5.

The first question is AB=CD=__ so you can just look at AB and you see it says 5x. You just substitute in the 5 for the x because you already got that. 5 times 5 = 25 and there is your first answer.

AC=BD=__ is your next question and you just look at AC and see "5x-2" and substitute in the x again. So you'll have 5(5)-2 which is 25-2 and your answer will be 23.

Yes, it is correct with x=5.It comes AB=CD = 25 and AC = BD=23.

Given that,

Based on the above information, the calculation is as follows:

AB = CD

Here AB = 5x

= 5(5)

= 25

So AB = CD = 25

Now

AC = BD

Here

AC = 5x - 2

= 5(5) - 2

= 25 - 2

=23

So AC = BD = 23

Therefore we can conclude that Yes, it is correct with x=5.It comes AB=CD = 25 and AC = BD=23.

Learn more: brainly.com/question/13549064

Answer: a=  5o3x606 / 2.718282ginv

Step-by-step explanation:giv(2.718282)nax=5x605oxc0oxc0o

Step 1: Divide both sides by 2.718282ginvx.

2.718282aginvx

2.718282ginvx

=

5o3x607

2.718282ginvx

a=

5o3x606

2.718282ginv

Answer:

all real numbers

part two is y is greater than or equal to 0

Step-by-step explanation:

correct on edge

Answer:

A. 216cm²

Step-by-step explanation:

Area of triangle

(12 × 8) / 2 = 48

Area of rectangle

14 × 12 = 168

168 + 48 = 216

Answer:

The answer would be C. Inference

Answer:

Step-by-step explanation:

if its asking how many people there are it would be 40,000

Mother, Father, 2 kids=4

4 x 10,000= 40,000

Based on the given options, the errors Amy made in simplifying the complex fraction problem include not using the reciprocal of the divisor and not simplifying the resulting fraction.

To analyze the errors made by Amy in simplifying the complex fraction problem, let's go through each option:

1. She converted the mixed number to the wrong improper fraction: This error is related to the specific problem at hand and cannot be determined without the actual problem statement. Please provide the specific complex fraction problem so that I can assess this error.

2. She did not use the reciprocal of the divisor: This error suggests that Amy did not take the reciprocal of the divisor (denominator) when dividing by a fraction. This error would be applicable if the problem involved dividing by a fraction. However, without the specific problem, it is difficult to confirm this error.

3. She added the numerators: This error indicates that Amy added the numerators of the complex fraction instead of performing the appropriate operations on them. This error can occur if the problem required multiplication, subtraction, or other operations instead of addition.

4. She added the denominators: This error implies that Amy added the denominators of the complex fraction instead of performing the necessary operations. This error can occur if the problem involved addition or if the denominators needed to be combined differently.

5. She did not simplify: This error suggests that Amy did not simplify the resulting fraction to its simplest form after performing the operations. This error can occur if the fraction can be further reduced or simplified.

Learn more about complex fraction problem:

brainly.com/question/100396

#SPJ11

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

To learn more about parabola click :

https://brainly.com/question/24042022

#SPJ1

9514 1404 393

Answer:

  interval notation for all numbers except those that are at least -1 and less than 2.

Step-by-step explanation:

The ∪ between the two sets of brackets indicates the "union" of two sets. The brackets on the left indicate the interval ...

  -∞ < x < -1 . . . . . for a value represented by x

The curved brackets ( ) indicate the end values of the interval are not included, which is why the < symbol is used, and not the ≤ symbol.

The brackets on the right indicate the interval ...

  2 ≤ x < +∞ . . . . . for a value represented by x

The square bracket [ ] is used to indicate the end value is included, which is why the ≤ symbol is used in relation to the end-value 2.

By convention, the interval notation lists the left end of the interval first, and always uses curved brackets for infinity.

This question is a matter of addition and subtraction.

To start with, we first can figure out how many yards the Giants have lost. This will be represented by a negative number, as the yards lost will be subtracted from the yards that were gained.

If the Giants lost 5 yards three times, then:
*Losing 5 yards is represented by -5.
*-5 times 3 is equal to -15.

So, the Giants lost -15 yards in total.

Next, we figure out how many yards the Giants have gained in total, which is represented by a positive number. We don't have to do any math for this, as the question gave us the answer, 20 yards.

Finally, to answer the question, we subtract the yards lost from the yards gained to find out the amount of yards left.

20 - 15 = 5

Therefore, the Giants have gained 5 yards in total.

Answer:

x = 9

hope it helps

I'm soo sad :(

Answer:

Hard math okay cant get

Step-by-step explanation:

The excel statement to estimate the test average of these 4 grades is -

An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.

To know more about the Microsoft Excel, here

https://brainly.com/question/23501096

#SPJ4

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

When constructing a confidence interval for the population mean using t procedures, the degrees of freedom for the t distribution play a crucial role in determining the appropriate t value.

The degrees of freedom (df) in this context refer to the number of independent values or pieces of information that can be used to estimate the population parameter.

For a t-distribution, the degrees of freedom are calculated as df = n - 1, where n represents the sample size. This means that if you have a sample of 30 observations, your degrees of freedom for the t distribution would be 29.

The larger the sample size, the more degrees of freedom you have, and the closer the t distribution approximates a standard normal distribution.

Once you have determined the degrees of freedom, you can then use a t-table or statistical software to find the critical t value associated with the desired level of confidence (e.g., 95% or 99%). This t value is then used in the formula for constructing the confidence interval for the population mean, which is given by:

Confidence Interval = Sample Mean ± (t-value * Standard Error)

The t procedures are particularly useful when the population standard deviation is unknown or when the sample size is small, as they account for the additional uncertainty associated with these conditions.

To learn more about confidence interval click here

brainly.com/question/22851322

#SPJ11

Answer:

A relation is defined as the collection of inputs and outputs which are related to each other in some way. In case, if each input in relation has accurately one output, then the relation is called a function.

Based on the given relation, we found that it is not a function because it has repeating x-values. Remember, for a relation to be a function, each input (x-value) must correspond to exactly one output (y-value).

To determine if a relation is a function, you need to check if each input (x-value) corresponds to exactly one output (y-value). You can use the following steps:

1. Identify the given relation as a set of ordered pairs, where each ordered pair represents an input-output pair.

2. Check if there are any repeating x-values in the relation. If there are no repeating x-values, move to the next step. If there are repeating x-values, the relation is not a function.

3. For each unique x-value, check if there is only one corresponding y-value. If there is exactly one y-value for each x-value, then the relation is a function. If there is more than one y-value for any x-value, then the relation is not a function.

Let's consider an example relation: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 1: Identify the relation as a set of ordered pairs: {(1, 2), (2, 3), (3, 4), (2, 5)}.

Step 2: Check for repeating x-values. In our example, we have a repeating x-value of 2. Therefore, the relation is not a function.

To know more about Relation, visit

https://brainly.com/question/30056459

#SPJ11

Answer:

(3x)⁰÷5‐²

1 ​÷5‐²

5² ​ ​

25

To solve the given linear programming (LP) problem using the graphical LP approach, we will plot the feasible region, identify the corner points, and determine the optimal solution.

Here are the steps:

Step 1: Plot the constraints:

- Plot the line 5x + y = 32, which represents the constraint 5x + y ≤ 32. To do this, find two points that lie on this line by assigning values to x and solving for y. For example, when x = 0, y = 32, and when x = 6, y = 2. Connect these points to draw the line.

- Plot the line x + 3y = 12, representing the constraint x + 3y ≥ 12. Again, find two points on this line and connect them. For instance, when x = 0, y = 4, and when x = 12, y = 0.

- Draw the lines representing x = 20 and y = 20 as vertical and horizontal lines passing through x = 20 and y = 20, respectively.

Step 2: Identify the feasible region:

- Shade the area that satisfies all the constraints. The feasible region is the intersection of the shaded regions.

Step 3: Identify the corner points:

- Find the coordinates of the corner points of the feasible region. These points are the intersections of the lines representing the constraints.

Step 4: Evaluate the objective function:

- Calculate the objective function Z = 3x + 12y for each corner point.

Step 5: Determine the optimal solution:

- Identify the corner point that gives the minimum value of the objective function Z. This point corresponds to the optimal solution of the LP problem.

Once you have completed these steps, you will have the complete solution to the LP problem using the graphical LP approach.

To know  more about constraints visit:

brainly.com/question/32387329

#SPJ11

3 to the 8 power as a power with a base of 81 can be written as 81²

Definition of exponent?

An exponent tells how many times a number must be multiplied by itself.

Exponents are also called powers or indices. It is usually written as a superscript to the right of the base.

3 to the 8 power is 3⁸

3⁸ = 3 × 3 ×3 × 3 × 3 x 3 x 3 x 3

   = (3 × 3 ×3 × 3 ) × ( 3 x 3 x 3 x 3)

  =  81 × 81 = 81²

Therefore, 81² is the form in which we can write 3 to the 8 power as a power with a base of 81

Learn more about bases and exponents on:

https://brainly.com/question/22283047

#SPJ1

Answer:

tan thetha =sin theta / cos thetha,hence it is true