brainliest and 100 points! i really appreciate the help, and please let me know if you need help on anything, thanks!!

Answer:

Since g(x) is a translation of f(x) = x², we can write the function rule for g(x) in terms of f(x) as:

g(x) = f(x - h) + k

where h and k are the horizontal and vertical translations, respectively. To determine the values of h and k, we need to look at the graph of g(x).

From the graph, we can see that the vertex of g(x) is at the point (-2, -8). This means that the horizontal translation is 2 units to the right (since the vertex of f(x) = x² is at the origin), and the vertical translation is 8 units downward.

Therefore, we have:

h = 2

k = -8

Substituting these values into the general form of g(x), we get:

g(x) = a(x - 2)² - 8

To determine the value of a, we can use another point on the graph. For example, we can use the point (-6, 2), which is 4 units to the left and 10 units upward from the vertex (-2, -8).

Substituting x = -6 and y = 2 into the equation for g(x), we get:

2 = a(-6 - 2)² - 8

Simplifying and solving for a, we get:

a = 1/8

Therefore, the function rule for g(x) is:

g(x) = (1/8)(x - 2)² - 8

Written in the form a(x - h)² + k, where a = 1/8, h = 2, and k = -8.

Answer:

Step-by-step explanation:

48 over 12 = 4 is the answer

The frequency of measurements that lie between -2 and 2 in a set of standardized data is option (a) approximately 95%.

If a set of data has been standardized, it means that it has been transformed to have a mean of 0 and a standard deviation of 1.

In a standard normal distribution, approximately 95% of the measurements fall within 2 standard deviations of the mean (i.e., between -2 and 2). This is known as the 95% confidence interval.

Therefore, given that the data has been standardized, we can say that approximately 95% of the measurements lie between -2 and 2.

Therefore, the correct option is (a) approximately 95%.

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The given question is incomplete, the complete question is:

Suppose that you have a set of data that has been standardized. Given only this information, and being as precise as possible, how frequent would you say are measurements that lie between-2 and 2? a) approximately 95% b) approximately 99.7% c)  at least 75%  d) at least 88.8% e) at most 100%

Answer:

1. 2-way frequency table goes with the 1st one  

2. Marginal frequency goes with the 4th one  

3. joint frequency goes with the 3rd one

4. conditional frequency goes with the 2nd one

The graph of the triangle after the dilation is given by the image presented at the end of the answer.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

The vertices of the original triangle after given as follows:

F(1,1), G(3,1) and H(3,2).

The scale factor is given as follows:

k = 3.

Hence the vertices of the dilated figure are given as follows:

F'(3,3), G'(9,3) and H'(9,6).

When a figure is reflected over the x-axis, the sign of the y-coordinate is changed, hence the vertices of the reflected figure are given as follows:

F''(3,-3), G''(9,-3) and H''(9,-6).

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Answer:

Step-by-step explanation:

tg

Answer:

The half-life of carbon-14 is 5,730 years. This means that every 5,730 years, half of the carbon-14 in a sample will decay. So, if a sample contains 32% of its original amount of carbon-14, it is about 2 * 5,730 = 11,460 years old.

However, it is essential to note that radiocarbon dating is not an exact science. There is a margin of error of about 20 years. So, the skull's actual age could be between 11,260 and 11,660 years old.

Here is a formula that can be used to calculate the age of a sample using radiocarbon dating:

```

Age = (5,730 * ln(A/Ao)) / ln(2)

```

Where:

* Age is the age of the sample in years

* A is the amount of carbon-14 in the sample

* Ao is the original amount of carbon-14 in the sample

* ln is the natural logarithm function

In this case, A = 0.32 and Ao = 1.0. So, the age of the skull is:

```

Age = (5,730 * ln(0.32) / ln(2)) = 11,460 years

```

Step-by-step explanation:

Answer:

4535 years.

Step-by-step explanation:

The formula used to calculate the age of a sample by carbon-14 dating is3:

t=−0.693ln(N0​Nf​​)​×t1/2​

where:

t is the age of the sample

Nf is the number of carbon-14 atoms in the sample after time t

N0 is the number of carbon-14 atoms in the original sample

t1/2 is the half-life of carbon-14 (5730 years)

In your case, the skull contains 32% of its original amount of carbon-14, which means that Nf/N0 = 0.32. You can plug in this value and the half-life into the formula and get:

t=−0.693ln(10.32​)​×5730

Using a calculator, you can simplify this expression and get:

t=−1.139×−0.693×5730

t=4534.7

Answer:  1/4. Based on the given conditions, formulate:: 3/12 Cross out the common factor: 1/4.

Step-by-step explanation:

Answer: 3/12

Step-by-step explanation:

Answer:

To solve for n, we can multiply both sides of the equation by 10:

n/10 = 0.41

n = 10 x 0.41

n = 4.1

Therefore, n is approximately 4.1.

Step-by-step explanation:

Answer:  so, if l is the length of the arc, r is the radius of the circle and θ is the angle subtended at the centre, then; θ = l/r, where θ is in radians

Central angle, θ = (Arc length × 360º)/(2πr) degrees or Central angle, θ = Arc length/r radians, where r is the radius of the circle. The formula is Degrees = Radians × 180 / π and it can be used for both positive and negative values. The sector of a circle is a slice of a circle, bound by two radiuses and an arc of the circumference. We identify sectors of a circle using their central angle. The central angle is the angle between the two radiuses. Sectors with a central angle equal to 90° are called quadrants.

Answer:

C) -2

Step-by-step explanation:

Slope: The slope of the line is the m in the equation for the line:

[tex]y=mx+b[/tex]

To find the slope of a line, we use the formula:

[tex]\frac{rise}{run}[/tex]

The rise being units up or down, and the run being units left and right from 1 solid point to another.

In this case, let's use the 2 points (-1,4) and (0,2)

The rise from the first point to the second point is -2 units down, and the run is 1 unit right.

Meaning, once we substitute:

[tex]\frac{-2}{1} \\=-2[/tex]

The slope of this line is -2.

Hope this helps :)

The square feet of fabric of the portions in the red and blue portions is 10.05 square feet

The missing figure is added as an attachment

We start by calculating the areas of the portions

The red and blue portions form a trapezoid

So, the area is

Red and blue portions = 2 * 1/2 * (2.2 + 4.5) * 1.5  = 10.05

Hence, the red and blue portions is 10.05 square feet

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The mean of this data set is ³/₅ inches as a fraction in simple form.

The mean refers to the average of the data set.

The average can be determined as the quotient of the total data value divided by the number of items in the data set.

The length of the first piece of ribbon = ¹/₄ inches

The length of the second piece of ribbon = 1¹/₃ inches

The length of the third piece of ribbon = ²/₃ inches

The length of the fourth piece of ribbon = ¹/₄ inches

The length of the fifth piece of ribbon = ¹/₂ inches

The total length of the five pieces of ribbon = 3 inches

The mean = ³/₅ inches (3 ÷ 5)

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La fuerza con la que es lanzada una pelota de béisbol puede calcularse utilizando la segunda ley de Newton, que establece que la fuerza (F) es igual a la masa (m) multiplicada por la aceleración (a). En este caso, la masa de la pelota es de 0.126 kilogramos y la aceleración es de 3 m/s.

Aplicando la fórmula, la fuerza (F) se calcula de la siguiente manera:

F = m * a

F = 0.126 kg * 3 m/s

F = 0.378 N

Por lo tanto, la fuerza con la que se lanza la pelota de béisbol es de aproximadamente 0.378 Newtons.

Es importante tener en cuenta que este cálculo asume que la aceleración proporcionada es constante y que no hay otras fuerzas que actúen sobre la pelota durante el lanzamiento, como la resistencia del aire. Estas consideraciones pueden afectar la fuerza real experimentada por la pelota en un escenario práctico.

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Answer:

To find the amount of material needed to make the container, we need to calculate its lateral surface area.

The lateral surface area of a cylinder is given by the formula:

Lateral surface area = height x circumference

where circumference = 2 x pi x radius

In this case, the height is 7.5 inches and the radius is 4 inches.

Circumference = 2 x pi x radius = 2 x 3.14 x 4 = 25.12 inches

Lateral surface area = height x circumference = 7.5 x 25.12 = 188.4 square inches

Therefore, the amount of material needed to make the container is 188.40 in². Answer: A.

The simplified expression of (7j³ - 2) + (5j³ - j - 3) is 12j³ - j - 5.

To simplify the expression (7j³ - 2) + (5j³ - j - 3), we first combine like terms. The like terms are the ones with the same power of j.

The terms with j³ are 7j³ and 5j³, which add up to 12j³.

The terms with j are -j and -j, which add up to -2j.

The constant terms are -2 and -3, which add up to -5.

(7j³ - 2) + (5j³ - j - 3) = 7j³ + 5j³ - 2 - j - 3 (grouping like terms)

= 12j³ - j - 5 (combining like terms and simplifying)

Therefore, the simplified expression is 12j³ - j - 5.

A simplified expression is an expression in which all like terms have been combined and any unnecessary parentheses or symbols have been removed

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Alex's house is due west of Lexington and due south of Norwood. using Pythagorean theorem, the Norwood is 10 miles from Alex's house, measured in a straight line.

The Pythagorean theorem is a fundamental concept in mathematics that relates to the sides of a right triangle.

It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use the Pythagorean theorem to solve this problem.

Let x represents the distance we want to find.

Using the Pythagorean theorem, we can write:

[tex]x^2 = 6^2 + 8^2\\x^2 = 36 + 64\\x^2 = 100[/tex]

x = sqrt(100)

x = 10

Therefore, Norwood is 10 miles from Alex's house, measured in a straight line.

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In case of three friends decide to go out to eat, and then go shopping there are 20 possibilities are there for their big night out.

The problem is asking for the total number of possibilities when three friends decide to go out to eat and then go shopping. Since they can only pick one restaurant and one store, we can use the multiplication principle to determine the total number of possibilities.

There are 5 options for the restaurant and 4 options for the store, so the total number of possibilities is 5 x 4 = 20. Therefore, there are 20 different combinations of restaurant and store that the three friends can choose from for their big night out.

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The scale factor of the dilation of the triangles is 2

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

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

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Answer:

The answer is B. 39.0

Step-by-step explanation:

To find the average we add all the numbers then divide it by the total amount of numbers

= 23 + 33 + 33 + 27 +25 + 68 + 27 + 44 + 72/9

= 352/9

= 39.111111111

Round it of to the nearest tenth

= 39.0

For a sample of born babies' weight in a large hospital, probability that the mean weight of the sample babies would differ from the population mean by greater than 43 grams is equals to 0.5390.

We have a sample of born babies' weight in a large hospital.

Mean of weight = 4090 grams

Variance of weight = 31300

Standard deviations = 560

Sample size or included babies = 64

standard error = [tex]\frac{560}{\sqrt(64)}[/tex] = 70

We have to determine probability that the mean weight of the sample babies would differ from the population mean by greater than 43 grams. Let the population mean would be [tex]\mu[/tex]. Now, the probability, [tex]P ( \bar X - \mu > 43 ) [/tex]. Using Z-score formula, [tex]Z = \frac{X -\mu}{\frac{\sigma}{\sqrt(n)}} [/tex]

Substitute all known values then, z= ± 43/70, z= ± 0.614

P(z<-0.614 or z>0.614) = P(z<-0.614)+ P(z>0.614)

=2 × 0.2695

=0.5390

Hence, required value is 0.5390.

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As per the mention equation, the solutions in the interval [0, 2π) are calculated out to be x = π/4, 3π/4, 5π/4, 7π/4

We know that:

2 sin²(x) = 1

sin²(x) = 1/2

Taking the square root of both sides, we get:

sin(x) = ±√(1/2)

So, either:

sin(x) = √(1/2) = 1/√2

or

sin(x) = -√(1/2) = -1/√2

To find the solutions in the interval [0, 2π), we need to look for the values of x that satisfy each of these equations.

For the first equation, sin(x) = 1/√2, we know that this is true for x = π/4 or x = 7π/4, since sin(π/4) = sin(7π/4) = 1/√2.

For the second equation, sin(x) = -1/√2, we know that this is true for x = 3π/4 or x = 5π/4, since sin(3π/4) = sin(5π/4) = -1/√2.

Therefore, the solutions in the interval [0, 2π) are:

x = π/4, 3π/4, 5π/4, 7π/4

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The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers, under the condition that mean of 3,250 customers and a standard deviation of 320.

Here,
The middle 50% of days means that we are observing for the range of values that comprise the middle 50%  the data.

In order o find  range, we have to find the z-scores that correspond to the 25th and 75th percentiles and then change these z-scores back to raw scores using the formula
z = (x - μ) / σ
here x = raw score,
μ = mean,
σ = standard deviation

The z-score concerning to the 25th percentile is -0.6745 and the z-score concerning  the 75th percentile is +0.6745.
Using these z-scores and the formula, we evaluate  the raw scores that concerning  the percentiles
z = (x - μ) / σ
-0.6745 = (x - 3250) / 320
x = 2994
z = (x - μ) / σ
+0.6745 = (x - 3250) / 320
x = 3514

The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers.

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Answer: D

Step-by-step explanation:

The left side of a stem-leaf plot is the first part of the number and the right sides are the leaves.  so list of numbers for city 1 is:

8, 11, 15, 17, 18, 23, 32, 35, 40, 54, 58, 59

median is the middle number and range is if you subracted the first and last numbers.

A. is out The medians are not the same

B. is out The median for City 2 is greater

C. is out. The ranges are not the same

D. is correct.  Range for city 1 is: 59-8=51  Range for city 2 is: 61-31=30

If the tax had been levied on producers instead of consumers, the effect on the quantity sold would have been smaller is True. The amount of tax on a case of cider is $4. Of this amount, the burden that falls on consumers is $3 per case, and the burden that falls on producers is $1 per case.

This is because producers would have had to bear the full burden of the tax, reducing their incentive to produce and sell cider. To calculate the tax burden on consumers, we can subtract the price per case before the tax ($11) from the price after the tax ($15), which equals $4. Then, we subtract the amount of the tax that falls on producers ($1) to get the amount of the tax burden on consumers ($3).

To calculate the tax burden on producers, we can subtract the amount they receive per case after the tax ($9) from the price per case before the tax ($11), which equals $2. This $2 is split between the producers and the government, with the producers bearing $1 of the burden.

This could result in a decrease in the supply of cider, leading to higher prices and less demand from consumers. By taxing consumers instead, the government can still collect revenue from the tax while minimizing the impact on the supply and demand of cider in the market.

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Build-borrow-or-buy.

The build-borrow-or-buy framework is a conceptual model used by strategists to help them decide whether to build capabilities internally, borrow them through partnerships and alliances, or buy them through mergers and acquisitions. The framework helps organizations identify the most efficient and effective way to acquire the resources, capabilities, and competencies they need to achieve their strategic goals. It is a useful tool for decision-making when considering growth strategies, and can help managers evaluate the costs, risks, and benefits of each option.

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(a) build-borrow-or-buy. This framework helps strategists decide whether to pursue internal development, enter into an alliance, or acquire new resources, capabilities, and competencies.

the build-borrow-or-buy framework suggests that companies have three options when it comes to acquiring new resources and capabilities. First, they can build or develop these resources and capabilities internally through investments in research and development or employee training. Second, they can borrow or enter into strategic alliances with other companies to gain access to new resources and capabilities. Finally, they can buy or acquire companies that already possess the desired resources and capabilities.

the build-borrow-or-buy framework provides a structured approach for companies to evaluate their options when it comes to acquiring new resources and capabilities. By considering the pros and cons of each option, companies can make more informed decisions that align with their strategic goals and objectives.


The build-borrow-or-buy framework is a conceptual model that helps strategists decide whether to seek internal development (build), enter into an alliance (borrow), or acquire new resources, capabilities, and competencies (buy). This model assists organizations in evaluating their options for growth and resource allocation based on their strategic goals and objectives.

the build-borrow-or-buy framework is a valuable tool for strategists when choosing between internal development, alliances, or acquisitions to achieve their organization's growth and resource needs.

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The percentage of the class that are 13 years old can be found to be 43.75%

We have,

Number of 13 year olds = 21

Number of 15 year olds = 27

So, Total students

= Number of 13 year olds + Number of 15 year olds

= 21 + 27

= 48 students

and, the percentage of students who are aged 13 is

= 21 / 48 x 100 %

= 0. 4375 x 100 %

= 43. 75 %

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Answer:

We can use the formula for conditional probability to solve this problem:

P(Scholarship | Accepted) = P(Scholarship and Accepted) / P(Accepted)

We know that P(Accepted) = 18/25 and P(Scholarship and Accepted) = 13/25 (from the given information). Therefore:

P(Scholarship | Accepted) = (13/25) / (18/25) = 13/18 or approximately 0.722

So the probability that you receive a scholarship, given that you are accepted to your preferred college, is about 0.722 or 72.2%.

Step-by-step explanation: