A turtle traveled
1/10 miles in 1/2 hour. What was the turtle's rate in miles per hour?

A: 1/20
B: 1/12
C: 1/6
D: 1/5

Answer:

2 1/4

Step-by-step explanation:

18 fl oz= 2 1/4 or 2.25 cups

Answer:

36 attempts

Step-by-step explanation:

Answer:

an=7/2

Step-by-step explanation:

an=a(n-1)+15

given a1=8

multiply; a(n-1)

a(n-1)=an-a1

enter an-a1 in the equation

an=an-8+15

an=an+7

collect like terms;

an-an=(-7)

divide by negative both side

an-an/(-)=(-(-7)

2an=7

divide by 2 both side

2an/2=7/2

therefore the answer is an=7/2

Answer:

f(g(x))=1x^2 +-2x+1

Step-by-step explanation:

your inputs should be

1

-2

1

If f(x) = \(x^{2}\), g(x) = \(x -1\) then f(g(x)) = \(1x^{2} -2x+1\).

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given

f(x) = \(x^{2}\)

g(x) = \(x -1\)

f(g(x)) = \((x-1)^{2}\)

It is in the form of \((a-b)^{2}=a^{2} -2(a)(b) +b^{2}\)

= \(x^{2} -2(x)(1) +1^{2}\)

= \(x^{2} -2x+1\)

f(g(x)) = \(1x^{2} -2x+1\)

Hence, If f(x) = \(x^{2}\), g(x) = \(x -1\) then f(g(x)) = \(1x^{2} -2x+1\).

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The sampling distribution model for figuring out how many people in this group might not pay on time is:

E. mean = 8%; standard deviation = 1.1%.

The steps to determine the mean and standard deviation of the sampling distribution of the proportion of clients who may not make timely payments would be:

Start with the idea that 8% of the loans will have payments that are late. So the percentage of people who pay late is p = 0.08.

Calculate the sample size, which is given as n = 600.

Determine the mean of the sampling distribution. The mean of the sampling distribution of the proportion of late payments is equal to the population proportion, which is 0.08.

Find the standard deviation of the distribution of the samples. The standard deviation is discovered by taking the square root of the commodity of the sample size and the percentage of late payments in the whole population (1 - percentage of late payments in the whole population) and dividing it by the sample size:

σ = √( (p * (1-p)) / n )

σ = √( (0.08 * 0.92) / 600 ) ≈ 0.011

So, the answer will be option E. mean = 8%; standard deviation = 1.1%.

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Answer:

The equation 4 + y = 2x is a linear equation.

Step-by-step explanation:

The equation 4 + y = 2x is a linear equation. Linear equations have a constant rate of change and can be represented by a straight line when plotted on a graph. In this equation, y is a linear function of x, as it changes at a constant rate (y increases by 2 units for every unit increase in x).

A linear equation is characterized by having only one variable raised to the first power and no higher powers. In this equation, both y and x are only raised to the first power, making it a linear equation.

It is also important to note that linear equations have no exponents or absolute value signs, and only involve additions, subtractions, multiplications, and divisions of variables and constants. The equation 4 + y = 2x fits these criteria, making it a linear equation.

Answer:

Step-by-step explanation:

x + 4 + 2x + 23 = 90

3x + 27 = 90

3x = 63

x = 21

x + 4 = 21 + 4 = 25 for <1

2(21) + 23  = 42 + 23 = 65 for <2

The type of sampling used in this scenario is B. Stratified sampling. Stratified sampling involves dividing the population into distinct subgroups or strata and then selecting samples from each subgroup.

In this case, Miranda divides her day into three parts: morning, afternoon, and evening. Each part of the day represents a stratum or subgroup.  Miranda measures her breathing rate at 4 randomly selected times during each part of the day. This means she is taking samples from each of the three strata (morning, afternoon, and evening) and collecting data from within those subgroups.

By using stratified sampling, Miranda ensures that her samples represent the different parts of her day in a proportional and systematic manner, allowing her to capture potential variations in her breathing rate throughout the day.

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A metric can be used to help us determine the extent of how much an outcome is achieved.

A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.

They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.

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Hunter and three friends spent a total $41 of money.

Addition is the process used to combine things and count them as a single, large group. Addition in mathematics is the process of combining two or more numbers. The term "sum" refers to the result of the process, and "addends" refers to the numbers that are added.

Given, Hunter and three friends were going to the movies.

The movie tickets cost $10 each.

So, cost of movie ticket is 3 times $10 = $30.

And they bought three popcorn at $7.25, and three drinks at $2.75.

That means, the expenditure other than movie is;

$7.25 + $2.75 = $11

To find the total money they spent:

Add all the expenditures,

$30 + $11 = $41.

Therefore, they spent $41.

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Shaping modifies behavior through reinforcement and extinction, while planned ignoring is an effective strategy with limitations.

Shaping is a behavior modification technique that involves reinforcing behaviors that are closer and closer to the desired target behavior. Instead of waiting for the complete behavior to occur, shaping allows for gradual progress by reinforcing successive approximations.

For example, in dog training, shaping can be used to teach a dog to roll over. Initially, the trainer may reinforce the dog for lying down, then for turning its head, then for rolling partially, until the dog eventually performs a full roll. This demonstrates how shaping breaks down a complex behavior into manageable steps.

Reinforcement and extinction are integral to the shaping process. Reinforcement involves providing rewards or positive consequences to strengthen and increase the frequency of desired behaviors.

In shaping, reinforcement is used to reward each successive approximation, encouraging the individual or animal to continue moving towards the target behavior.

On the other hand, extinction is the process of eliminating undesired behaviors by withholding reinforcement. By no longer providing rewards for an undesirable behavior, the behavior gradually decreases and eventually becomes extinct.

Planned ignoring is a strategy that can be effective in extinguishing undesirable behavior. It involves deliberately withholding attention or reinforcement when the undesired behavior occurs.

For example, a parent might choose to ignore a child's tantrum to discourage its recurrence. This approach works by removing the reinforcing element of attention, causing the behavior to diminish over time.

However, planned ignoring may not be appropriate in situations where immediate intervention or safety concerns are involved, as it relies on the absence of reinforcement and may prolong undesirable behaviors in certain cases.

In the context of a Christian walk, shaping can be understood as God's influence and guidance in shaping thoughts and behaviors. Through teachings, scripture, prayer, and spiritual growth, individuals are guided towards conforming to godly principles and values.

God shapes our character, molds our perspectives, and helps us develop behaviors that align with His will. It is through the process of learning and growing in faith that our thoughts and behaviors are transformed to reflect the teachings of Christ.

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The percent of decrease in the price of the scooter is 30.7%

In this question, the figures are given as

Amount bought = $15.50

Amount sold = $10.75

These figures can be represented as

Initial amount = 15.50

Final amount = 10.75

The percentage of the decrease is then calculated using the following equation

Percentage = (Final amount - Initial amount)/Initial amount * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage = (10.75 - 15.50)/15.50 * 100%

Evaluate

Percentage = -30.7%

Hence, the percentage is 30.7%

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In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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Answer:

1) 4

2) 12

3)AB

Step-by-step explanation:

1) AC is 8, and since it bisects it is cut in 2

2) With the Pythagorean theorem, we know that side a² x side b² = side c²

so 4² x 9² = c² aka 16x9 = 144

square root bla bla, 12

3) as explained in 1) , it got cut into two, so AB = BC

Answer:

The correct option is;

C. Transformation

Step-by-step explanation:

In mathematics, transformation refers to the relocation of an object called the pre-image from initial position to another new location at which point the object will be known as the image whereby there is a one to one mapping from each point on the pre-image to the image

The types of transformation includes reflection, rotation, and translation which involve changes in position and dilation, which involves changes in the size of the pre-image.

If  circumference of a circle is 7π cm then area of circle is 38.465 square centimeter

The circumference of a circle is 7π cm

We have to find the area of the circle

To find area we have to know the radius

Circumference = 2πr

7π= 2πr

r=7/2

= 3.5 cm

Area of circle = πr²

=3.14×(3.5)²

=3.14×3.5×3.5

=38.465 square centimeter

Hence, if  circumference of a circle is 7π cm then area of circle is 38.465 square centimeter

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The resale value of the laptop after each year is calculated by multiplying the previous value by 0.65 (100% - 35% = 65%). After 4 years the resale value will be $250.

To describe the typical quiz scores of the students, a common measure used is the mean, or average, score. The mean is calculated by summing up all the scores and dividing by the total number of scores.

Given its simplicity and simplicity in interpretation, the mean was chosen as a proxy for normal quiz scores. It offers a solitary figure that encapsulates the scores' median. We can figure out the pupils' overall performance on the quiz scores by computing the mean.

It's crucial to keep in mind, though, that outliers or extremely high scores dividing might have an impact on the mean. The mean may not be an accurate representation of the normal results of the majority of students if there are a few students who severely underperform or do very well on the quizzes.

To get a more thorough picture of the distribution of quiz results in such circumstances, it might be beneficial to take into account additional metrics like the median or mode.

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Answer: √-18 = 3√2 i

Because i is √-1 so think like √18 x √-1 which means √18 i so answer is 3√2 i

The mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.

Suppose that a random variable X is formed by n mutually independent and normally distributed random variables such that:

Xi = N(μi, σ²) ; i = 1, 2,......, n

And if

X = X1 + X2 +........+ Xₙ

Then, its distribution is given as:

X ≈ N (μ1 + μ2+........+ μₙ)

For this case, it's given that

Distribution of time taken for distance ran by lady is Normal distribution and had a mean handling time of = 8.8 minutes with standard divagation of = 3.3 minutes.

Distribution of time taken for distance ran by joker is Normal distribution and had a mean handling time of = 7.3 minutes with standard divagation of = 2.9 minutes.

Samples of size n = 8 are taken from both population.

Estimated sample mean = population mean

Estimated sample standard deviation = population std. dev / √n

where n = sample size

For sample of females, the distribution is

For sample of males, the distribution is

Also, if we take distribution of difference between sample means(, then it would be normal with mean = 8.8-7.3 = 1.5 minutes (as mean for  will be -7.3 but same standard deviation) as factor gets squared for affecting standard deviation and variance)

and standard deviation is:

\(\sqrt{s^2f + s^2m } = \sqrt{3.3^2/8 + 2.9^2/8}\)

≈ 1.553 minutes.

The distribution of difference between sample means is  approximately

We need \(P(Xf - Xm < 0)\)

Thus, the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM is 1.5 minutes(mean) and 1.533 minutes(std. dev) approx The probability of getting a difference in sample means xF − xM that is less than 0 is 0.0239 approx.

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The value of F(n) can be calculated recursively using the given formula: F(n) = 3 * F(n-1) + 2 + 2 * F(n-2), with initial values F(0) = F(1) = 1.

To calculate the value of F(n) using the given recursive formula, we need to understand how the formula is applied step by step. Let's break it down:

Step 1:

Since F(0) = F(1) = 1, we can start with these initial values.

Step 2:

To calculate F(n), we need to know the values of F(n-1) and F(n-2). Let's find these values using the recursive formula.

Step 3:

Using F(1) = 1, we find F(2) = 3 * F(1) + 2 + 2 * F(0) = 3 * 1 + 2 + 2 * 1 = 7.

Step 4:

Using F(2) = 7 and F(1) = 1, we find F(3) = 3 * F(2) + 2 + 2 * F(1) = 3 * 7 + 2 + 2 * 1 = 23.

Step 5:

Continuing this process, we can calculate F(n) by substituting the values of F(n-1) and F(n-2) obtained in the previous steps into the recursive formula.

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713.49 written in standard form is 713.49, with 7 in the hundreds place, 1 in the tens place, 3 in the ones place, 4 in the tenths place, and 9 in the hundredths place.

The number 713.49 written in standard form is 713.49.
In standard form, also known as decimal form, a number is expressed as the sum of its digits multiplied by powers of 10. The leftmost digit represents the whole number part, while the digits to the right of the decimal point represent the decimal part.

In this case, the leftmost digit is 7, which represents the hundreds place. The next digit, 1, represents the tens place. The digit after that, 3, represents the ones place. The digit after the decimal point, 4, represents the tenths place. The final digit, 9, represents the hundredths place.

So, when we combine these digits, we get the number 713.49.
In summary, 713.49 written in standard form is 713.49, with 7 in the hundreds place, 1 in the tens place, 3 in the ones place, 4 in the tenths place, and 9 in the hundredths place.

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Explanation:

The two points mentioned in bold are midpoints of segments AB and AC respectively.

To find the coordinates of a midpoint, you add up the x coordinates and divide by 2. Do the same with the y coordinates.

For example, points A and B are at (7,6) and (1,-2)

If we add up the x coordinates and divide by 2, then we get (7+1)/2 = 4. Do the same for the y coordinates to get (6+(-2))/2 = 2. So that's how (4,2) is the midpoint of segment AB. You'll use similar logic to find that (8,2) is the midpoint of segment AC.

A slight alternative is that once you find one midpoint is (4,2), you can draw a horizontal line until you reach (8,2). We're using the idea that the midsegment is parallel to BC which is also horizontal.

Answer:

1.true

2.false

3.false

4.true

5.true

6.false

Step-by-step explanation:

just graph it and look at it

Answer:

z = 18,9

Step-by-step explanation:

\(6.6 = 3(z - 16.9) - - 0.6\)

\(6.6 = 3z - 50.7 - ( - 0.6)\)

\(6.6 = 3z - 50.7 + 0.6\)

\(6.6 = 3z - 50.1\)

\(6.6 - 3z = - 50.1\)

\( - 3z = - 50.1 - 6.6\)

\( - 3z = - 56.7\)

\(z = 18.9\)

Answer:

3x-2y=-22

Step-by-step explanation:

-3x+5y-3y=22

agrupa los términos semejantes: 3x-2y=-22

cambia los signos en ambos lados en la ecuacion: 3x-2y=-22

entonces la solución es: 3x-2y=-22

No, it is not possible to have a simple graph with n vertices, where n is any integer greater than or equal to 5, such that all vertices have different degrees.

In a simple graph, the degree of a vertex refers to the number of edges connected to that vertex. The maximum degree possible in a graph with n vertices is (n-1), which occurs when one vertex is connected to all other vertices.

To create a graph where all vertices have different degrees, we would need to assign a unique degree to each vertex. However, if n is greater than or equal to 5, we cannot assign n unique degrees to n vertices while satisfying the conditions of a simple graph.

To see why, consider the case of n = 5. We need to assign degrees 1, 2, 3, 4, and 5 to the vertices.

The vertex with degree 5 must be connected to all other vertices, leaving us with four remaining degrees (1, 2, 3, and 4) to assign to the remaining four vertices. However, no matter how we distribute these degrees, at least two vertices will have the same degree.

This argument can be extended to any value of n greater than 5. Therefore, it is not possible to construct a simple graph with n vertices where all vertices have different degrees for any integer n ≥ 5.

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The vendor sold 172 sodas and 58 hotdogs at the hockey game.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

let, the number of soda cans be 'x' and the number of hot dogs be 'y'.

So, From the given information x = 3y and the vendor sold a total of 232.

Therefore, x + y = 232.

3y + y = 232.

4y = 232.

y = 232/4.

y = 58.

So, He sold 58 hot dogs and 3×58 = 172 soda cans.

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