Amanda is walking away from a streetlight at a rate of 4 feet per second. She starts at a distance of 6 feet from the streetlight. Create an equation that models Amanda’s situation using distance, d, from the streetlight as a linear function of walking for t- seconds

Answer:

Probability of picking a dime both times = (7/10)^2 = 49/100, or 0.49

Step-by-step explanation:

Picking with replacement, twice from 3 quarters and 7 dimes.

Probability of picking a dime each time = 7/10.

Probability of picking a dime both times = (7/10)^2 = 49/100, or 0.49

This will increase the probability of rejecting a false null hypothesis and accepting a true alternative hypothesis.The political advisor should ensure proper sampling, increase the alpha level, and have a larger sample size to reduce the risk of making a Type II error. A type II error is when a null hypothesis is accepted when it is false.

Suppose a political advisor is interested in the proportion of the vote an opponent will receive. If he samples voters randomly and tests hypotheses regarding p, the population proportion, he should do the following to reduce his risk of making a Type II error:To reduce the risk of making a Type II error, a political advisor interested in the proportion of the vote an opponent will receive, if he samples voters randomly and tests hypotheses regarding p, the population proportion should ensure that he has a larger sample size for testing. A larger sample size can help in making his results statistically significant and that the results are a true representation of the population.Proper sampling can also help to reduce the risk of a Type II error. Random sampling of the voters ensures that there is no bias in the selection process, which can skew the results. A random sample of voters is a fair representation of the population, and results obtained from a random sample are more likely to be accurate. This reduces the likelihood of a Type II error.The advisor should also increase the alpha level to reduce the risk of a Type II error. By increasing the alpha level, he is lowering the rejection region, which will reduce the likelihood of a Type II error. This will increase the probability of rejecting a false null hypothesis and accepting a true alternative hypothesis.The political advisor should ensure proper sampling, increase the alpha level, and have a larger sample size to reduce the risk of making a Type II error. A type II error is when a null hypothesis is accepted when it is false.

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After set s1.addAll(s2), s1 is [1, 2, 5, 2, 3, 6].

After performing the operation s1.addAll(s2) on sets s1 [1, 2, 5] and s2 [2, 3, 6], the set s1 would become[1, 2, 5, 2, 3, 6].

To determine the value of s1, the following steps has to be taken:

1. Start with sets s1 [1, 2, 5] and s2 [2, 3, 6].

2. Apply the addAll operation with set s2: [2, 3, 6]

3. Add each element from set s2 to set s1, while avoiding duplicates (since sets cannot have duplicate elements).

4. Therefore, suppose if set s1 is [1, 2, 5] and set s2 is [2, 3, 6] then, after s1.addAll(s2), the set s1 becomes [1, 2, 5, 2, 3, 6].

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The sum of the measures of the interior angles of a convex dodecagon is 1800 degrees.

We have,

A convex dodecagon has 12 sides.

To find the sum of the measures of its interior angles, we can use the formula:

Sum of interior angles = (n - 2) x 180 degrees

where n is the number of sides.

For a convex dodecagon (n = 12), the sum of the interior angles is:

Sum = (12 - 2) x 180 = 10 x 180 = 1800 degrees

Therefore,

The sum of the measures of the interior angles of a convex dodecagon is 1800 degrees.

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Answer:

7

Step-by-step explanation:

42/6=7

Answer:

69 child tickets

Step-by-step explanation:

0.15 x 460 = 69

Answer:

24.01

Step-by-step explanation:

The question is incomplete the complete question is

Evaluate (4/9) to the power of 2.

We have given that,

(4/9)^2

Apply the product rule to 4/9.

\(\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\)

\(=\frac{4^2}{9^2}\)

\(4^2=16\)

\(=\frac{16}{9^2}\)

\(9^2=81\)

\(=\frac{16}{81}\)

Therefore the (4/9) to the power of 2 is equal to \(\frac{16}{81}\).

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Graphs can be used to model real-world situations

Segment 8

From the graph (see attachment), we have the following observations

The above points imply that:

Fans are leaving the arena at segment 8

Segments 5 and 7

From the graph, segments 5 and 7 are horizontal lines.

This means that:

No entry or exit was observed by the fans, at segments 7 and 5

Segment 6

Segment 6 connects segments 5 and 7, with a short downward line

This means that:

Few people left the arena, at segment 6

See attachment for the graph

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The value of the car after 6 years will be $7340  .

The Depreciation can be calculated using the formula

A = P( 1 - r/100)ⁿ

where , A = amount , P = principal , r = rate of deprecation , n = time period

In the question ,

it is given that

the value of the car (P) = $28000

rate of deprecation (r) = 20% per year

time period (t) = 6 years

Substituting the values in the Depreciation formula we get ,

Amount = 28000*( 1 - 20/100 )⁶

= 28000*(80/100)⁶

= 28000*(0.80)⁶

= 28000*0.26214

= 7339.92

≅ 7340

Therefore , the value of the car after 6 years will be $7340 .

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The calculated value of x in the circle is 59

From the question, we have the following parameters that can be used in our computation:

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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To find out how many months are in 5/6 years, we can multiply 5/6 by 12. 5/6 years is equal to 10 months.

Multiplication is a basic arithmetic operation used to find the total quantity of two or more values, groups or sets that are equal in size. It involves combining equal groups or adding a number to itself a certain number of times.

To convert 5/6 years to months, we need to know how many months are in a year.

There are 12 months in a year.

So, to find out how many months are in 5/6 years, we can multiply 5/6 by 12.

(5/6) * 12 = 10

Therefore, 5/6 years is equal to 10 months.

In multiplication, the values being multiplied are called factors, and the result of the multiplication is called the product. For example, in the expression 2 x 3 = 6, the numbers 2 and 3 are factors, and the number 6 is the product.

Multiplication can be represented in many different ways, including using the multiplication symbol "x", using a dot or asterisk symbol "*", or simply by placing the factors next to each other without a symbol.

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Answer:

Step-by-step explanation:

Before we begin, I'm assuming that the two horizontal lines are parallel to one another, and as a result, the steep line is a transversal. We know that angle 1 (attached below) and angle 2 (attached below) have equal angle measures because of the corresponding angle theorem. We know that angle 2 and 3 (attached below) add up to 180 degrees because of the linear pair postulate.

When to use correlation instead of ANOVA: Correlation and analysis of variance (ANOVA) are both statistical techniques used to examine relationships between variables.

However, they have different purposes and are used in different scenarios. Use correlation when:

You want to measure the strength and direction of the linear relationship between two continuous variables.

You are interested in assessing the degree of association between variables without any specific grouping or experimental design.

You want to determine if there is a linear relationship between two variables but not necessarily determine if one variable affects the other.

Example: Suppose you want to examine the relationship between the hours spent studying and the exam scores of a group of students. By calculating the correlation coefficient (such as Pearson's correlation coefficient), you can assess whether there is a linear relationship between the two variables.

Use ANOVA when:

You want to compare means across two or more groups or categories.

You have a categorical independent variable and a continuous dependent variable.

You want to determine if there are statistically significant differences between the means of the groups.

Example: Imagine you are studying the effect of different fertilizer treatments on the growth of plants. You divide the plants into three groups, each receiving a different fertilizer treatment. By conducting an ANOVA, you can determine if there are significant differences in the mean growth among the three fertilizer groups.

In summary, correlation is used to measure the strength and direction of a linear relationship between two continuous variables, while ANOVA is used to compare means across different groups or categories.

The usefulness of partial correlation and an example:

Partial correlation is a statistical technique that measures the degree of association between two variables while controlling for the effects of one or more additional variables. It allows you to examine the relationship between two variables while holding other variables constant or controlling for their influence.

Partial correlation is useful in the following scenarios:

When you want to assess the relationship between two variables after accounting for the effects of other potentially confounding variables.

When there is a possibility that the relationship between two variables might be explained or influenced by other factors, and you want to isolate the direct association between them.

Example: Suppose you are studying the relationship between income and education level, but you suspect that age might confound this relationship. By calculating the partial correlation coefficient between income and education, controlling for age, you can examine the association between income and education while removing the influence of age.

By using partial correlation, you can better understand the direct relationship between two variables by accounting for the potential effects of other variables that might distort or confound the relationship. It allows you to isolate and assess the unique association between two variables of interest.

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Given: A triangle ABC with sides, AB= 4cm

BC=6cm and

AC=8cm

Required: To find out the triangle's highest corner.

Explanation: Let us first draw a triangle with given sides,

Answer:

$80 in interest for four years. She has to pay back a total of $480

Step-by-step explanation:

The function is called an if/else statement function lets you test if something is true or false and then do different things depending on which result you get.

An if/else statement is a type of control flow statement that allows a program to execute different instructions depending on the result of a logical expression. The statement begins with an if condition, followed by a set of instructions to be performed if the condition is true. If the condition is false, the program executes the instructions after the optional else statement. The syntax for an if/else statement looks like this: if (condition) { // Instructions to execute if condition is true } else { // Instructions to execute if condition is false } By using an if/else statement, a program can make decisions and perform different actions based on the results of a logical expression.

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Answer:

$1,800,000 dollars

Step-by-step explanation:

Given the following question:

10% of 2,000,000

An app brought in $2 million in revenue before giving 10% of that revenue to pay for prizes. We need to find how much revenue did the app earn AFTER the store paid for the reward prizes.

\(\frac{10\times2000000}{100} =10\times2000000=20000000\div100=200000\)
10% of 2 million is 200,000.
\(2000000-200000=1800000\)

The app earned "$1.8 million" after paying for the reward prizes.

Hope this helps.

The number of fiction and non fiction books are 10 and 2 respectively.

There are 5 times as many fiction books in the class library as there are nonfiction books.

Therefore,

let

x = number of non fiction book.

number of fiction book = 5x

The number of information books is 7 more than the sum of the number of fiction and nonfiction books.

Therefore,

number of information book = 7 + x + 5x

number of information book = 7 + 6x

There are 19 information books in the library.

Hence,

19 = 7 + 6x

19 - 7 = 6x

6x = 12

x = 12 / 6

x = 2

Therefore,

The number of non fiction book = 2

The number of non fiction book = 5(2)  = 10

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The probability that calls to exactly two randomly selected households will both go unanswered is 0.1849

From the question, we have the following parameters that can be used in our computation:

Probabiity of answering, p = 57%

This means that the probability that no one answers the call is

q = 1 - 57%

Evaluate

q = 43%

So, the probability that both calls will go unanswered is

P = q²

This gives

P = (43%)²

Evaluate

P = 0.1849

Hence, the probability is 0.1849

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Answer:

x = -9/4

Step-by-step explanation:

x/3 - 2 = - 11/4

Add 2 to each side

x/3 - 2+2 = - 11/4+2

Get a common denominator on the right

x/3 = -11/4 + 8/4

x/3 = -3/4

Multiply each side by 3

x/3*3 = -3/4 *3

x = -9/4

Answer:

\($ x= -\frac{9}{4} $\)

Step-by-step explanation:

\($\frac{x}{3} - 2 = -\frac{11}{4} $\)

\($\frac{x}{3} -\frac{6}{3} = -\frac{11}{4} $\)

\($ \frac{x-6}{3} = -\frac{11}{4} $\)

Multiply both sides by 3

\($ x-6 = -\frac{33}{4} $\)

\($ x= -\frac{33}{4} + 6$\)

\($ x= -\frac{33}{4} + \frac{24}{4} $\)

\($ x= -\frac{9}{4} $\)

Answer:

1. -2 degrees

2. 10 feet below sea level

Step-by-step explanation:

Answer:

\(\large\boxed{ \sf Area = 25\ ft .^2}\)

Step-by-step explanation:

We need to find out the area of the triangle which has a base of 12.5ft and s height of 4ft.

We know that the formula for calculating the area of the triangle is ,

\(\sf:\implies \pink{Area_{\triangle}=\dfrac{1}{2}\times (b)\times (h)}\\\)

where,

F I G U R E : -

\( \setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(.3,2.5){$\large\bf 4\ ft $}\put(2.8,.3){$\large\bf 12.5\ ft$}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\end{picture}\)

Now on substituting the respective values, we have;

\(\sf:\implies Area = \dfrac{1}{2}\times (12.5) \times (4) \ ft.^2 \\\)

Simplify,

\(\sf:\implies \underline{\underline{\boxed{\sf Area = \frak{25\ ft.^2} }}} \\\)

Hence the area of the triangle is 25ft.²

Answer:

x = -3÷8

or x = -0.375

Explanation:

-6+ -(8x-3)= -6-8x+3

= -8x -3

-8x-3= 0

-8x = 3

8x = -3

x = -3÷8

(a) 1, 2, 3, 4, 5, 6; equally likely

(b)Outcome Probability:

1/6, 1/6 , 1/6, 1/6, 1/6, 1/6

Yes, because these values cover the entire sample space.

In probability theory, the sample space of an experiment or random trial is the set of all possible outcomes or outcomes of that experiment.

Probability:

Probability is the branch of mathematics that deals with numerical descriptions of how likely an event or how likely a statement is to be true. The probability of an event is a number between 0 and 1, with 0 representing an impossibility and 1 representing certainty, roughly speaking. The higher the probability of an event, the higher the probability of an event occurring. A simple example is a fair (unbiased) coin toss. Since the coin is fair, both outcomes are equally likely. The probability of an "eagle" is equal to the probability of a "tail". And since no other outcome is possible, the probability of getting heads or tails is 1/2.

According to the Question:

Since, the 5 dice is thrown equally  at a same time then   the probability that all the dice are same is 1/6

Therefore, total Number of cases = n(s) = 6× 5 = 30

On the first roll you may get a number that has not been drawn before. The probability of throwing a new number on the second roll is 5/6. You only have a chance of 4/6 on the third roll, 3/6 on the fourth, then 2/6, and 1/6 on the last roll.

Therefore,

The probability of throwing a different number each time is the product of all these probabilities: 5!/6⁵ or about 1.5% .

Complete Question:

(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely?

(b) Assign probabilities to the outcomes of the sample space of part (a). (Enter your answers as fractions.)

Do the probabilities add up to 1? Should they add up to 1? Explain.

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The common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x.

The Maclaurin series for h(x) = 1/(1-x) is an infinite geometric series with the general term given by:

h(x) = x⁰ + x¹ + x² + x³ + ...

The nth order Maclaurin series for h(x) = 1/(1-x) is the sum of the first n terms of this infinite series. The common ratio of a geometric series is the ratio of any term to the previous term.

In this case, each term is the previous term multiplied by x, so the common ratio is x.

It's important to note that the Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero, in this case, when x is zero, the function becomes 1/(1-0) = 1, the function is equal to 1 when x=0.

In conclusion, the common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x. It's the ratio of any term to the previous term, and it's the same for all the terms in the series.

The Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero.

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Answer:

  see attached

Step-by-step explanation:

The attachment is my effort to complete the proof. It appears to me the idea is to show that B=3+1 and that 1=3+C. Then you substitute (3+C) for 1 and you've got the proof you want.

_____

The given statements and reasons are intended to give you enough clues that you can figure out the logic that is being used. Once you have done that, you fill in the missing details.

There are 10 common characteristics attributed to servant leadership: active listening, empathy, healing, awareness, persuasion, conceptualization, foresight, stewardship, commitment to the growth of people, and community-building.

A Scrum Master is a servant-leader whose focus is on the needs of the team members and those they serve (the customer), with the goal of achieving results in line with the organization's values, principles, and business objectives.

1.  Active listening: Active listening is the practice of preparing to listen, observing what verbal and non-verbal messages are being sent.

2.  Empathy:  the ability to understand and share the feelings of another.

3.  Healing:  the process of making or becoming sound or healthy again.

4.  Awareness:  knowledge or perception of a situation or fact.

5.  Persuasion:  A belief or set of beliefs, especially religious or political ones.

6.  Conceptualization:  The action or process of forming a concept or idea of something.

7. Foresight: The ability to predict or the action of predicting what will happen or be needed in the future.

8. stewardship: The job of supervising or taking care of something, such as an organization or property.

9. Commitment: The state or quality of being dedicated to a cause, activity, etc.

10. Community-building: Community building is a field of practices directed toward the creation or enhancement of community among individuals within a regional area or with a common need or interest.

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