Re-write the quadratic function below in Standard Form y = 2(x + 5)² + 3.​

Answer:

y = 2(x + 4)² - 6

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define function

y = 2x² + 16x + 26

Step 2: Find vertex form

Answer:

Slope = 5

Step-by-step explanation:

y = mx + b

m = slope

Slope = 5

Answer:

5

Step-by-step explanation:

Since this is written in slop-intercept form (y = mx + b where m is slope and b is y-int.) the slope is 5.

The sampling distribution of the sample mean for a random sample of n = 3 measurements from this distribution is: XI: 1, 2, 2, 2, 3, 4.33, 4.33, 5.33, 5.33, 5.33, p(x): 1/12, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/6

To find the sampling distribution of the sample mean for a random sample of n = 3 measurements from the given distribution, we need to calculate all possible sample means by taking combinations of the measurements.

Let's denote the measurements as x1, x2, and x3, and their corresponding probabilities as p(x1), p(x2), and p(x3). According to the given probability distribution:

x1 = 1 with probability p(x1) = 1/3

x2 = 4 with probability p(x2) = 1/3

x3 = 11 with probability p(x3) = 1/3

To calculate the sample mean, we take the average of the measurements:

Sample mean = (x1 + x2 + x3) / 3

Now, let's calculate all possible sample means:

x1 + x2 + x3 = 1 + 1 + 1 = 3

Sample mean = 3/3 = 1

x1 + x2 + x3 = 1 + 1 + 4 = 6

Sample mean = 6/3 = 2

x1 + x2 + x3 = 1 + 1 + 11 = 13

Sample mean = 13/3 ≈ 4.33

x1 + x2 + x3 = 1 + 4 + 1 = 6

Sample mean = 6/3 = 2

x1 + x2 + x3 = 1 + 4 + 4 = 9

Sample mean = 9/3 = 3

x1 + x2 + x3 = 1 + 4 + 11 = 16

Sample mean = 16/3 ≈ 5.33

x1 + x2 + x3 = 4 + 1 + 1 = 6

Sample mean = 6/3 = 2

x1 + x2 + x3 = 4 + 1 + 4 = 9

Sample mean = 9/3 = 3

x1 + x2 + x3 = 4 + 1 + 11 = 16

Sample mean = 16/3 ≈ 5.33

x1 + x2 + x3 = 11 + 1 + 1 = 13

Sample mean = 13/3 ≈ 4.33

x1 + x2 + x3 = 11 + 1 + 4 = 16

Sample mean = 16/3 ≈ 5.33

x1 + x2 + x3 = 11 + 4 + 1 = 16

Sample mean = 16/3 ≈ 5.33

The values in XI are in ascending order, and the corresponding probabilities in p(x) are calculated based on the frequency of each sample mean in XI.

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The amount of work required to empty the trough by pumping the water over the top is 434 foot-pounds.

To find the amount of work required to empty the trough by pumping the water over the top, we need to calculate the volume of water in the trough and then multiply it by the weight of water to determine the work.

First, let's determine the equation of the graph y = 1, which represents the shape of the cross-section of the trough parallel to one end. Since it's a horizontal line at y = 1, the equation is simply y = 1.

Next, let's find the length of the trough. Given that x ranges from -1 to 6, the length of the trough is 6 - (-1) = 7 feet.

Now, we'll calculate the area of the cross-section of the trough, which is the same as the area under the curve y = 1. The area under a constant function is equal to the value of the function multiplied by the length over which it extends. In this case, the area of the cross-section is 1 * 7 = 7 square feet.

To find the volume of water in the trough, we multiply the area of the cross-section by the height of the trough. The height is given as 1 foot. Therefore, the volume of water in the trough is 7 * 1 = 7 cubic feet.

Finally, we can calculate the amount of work required to empty the trough by multiplying the volume of water by the weight of water, which is 62 pounds per cubic foot. Thus, the amount of work required is 7 * 62 = 434 foot-pounds.

Therefore, the amount of work required to empty the trough by pumping the water over the top is 434 foot-pounds.

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A box plot is best suited to find median rather than histogram.

what is histogram?

A histogram may be a show of applied math data that uses rectangles to point out the frequency of information things in sequent numerical intervals of equal size. within the commonest type of bar chart, the experimental variable is premeditated on the horizontal axis and also the variable is premeditated on the vertical axis.

Main body:

Histogram display can be used to find how many pumpkins had masses below 6.0.

Box plot display can be used to find that the median mass was 8 kilograms

Histogram

Box plot

Hence box plot is best suited.

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Answer:

Step-by-step explanation:

A story that can be represented using the equation y=x+1/5x is "John has an apple and he cut another apple into 5 equal parts and took on part. What's the rural fraction of apple that he has?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, if John has an apple and he cut another apple into 5 equal parts and took on part.

This can be illustrated as:

y = x + 1/5x

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Answer:

m=18/3

Step-by-step explanation:

m=-7-11/-6-(-1)

Answer:

3 beverages, 5 appetizers, 8 entrees, and 4 desserts.

Step-by-step explanation:

I think you meant 20 items, so let's do that. To find 15% of 20, we multiply 20 by .15. This gets us 3. We repeat this with all the other numbers, using different decimals, of course. We get 3 beverages, 5 appetizers, 8 entrees, and 4 desserts. 3 + 5 + 8 + 4 is 20, so everything checks out.

Answer:

The answer is D

Step-by-step explanation:

I just took the test three times and it was correct

400 milliliters is equal to 13.5277 ounces

Converting volume measurements from milliliters to ounces can be a bit tricky. However, with a little bit of math, it's easy to figure out how many ounces are in a given number of milliliters.

First, it's important to understand the relationship between milliliters and ounces. One ounce is equal to approximately 29.5735 milliliters. So, to convert milliliters to ounces, you simply need to divide the number of milliliters by 29.5735.

For example,

if you have 400 milliliters, you would divide 400 by 29.5735 to find that there are approximately 13.5277 ounces in 400 milliliters.

Keep in mind that this is an approximation and the conversion factor may vary slightly depending on the specific source. It is always best to double check with a conversion calculator or consult a conversion chart to ensure the most accurate conversion.

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Answer:

x=5

here,

=5×5-5

=25-5

=20

Answer:

0 will be the answer may be not sure

Answer:

15.75 i thank

Step-by-step explanation:

bc multiply 2.25 x 7 = 15.75

Answer:

All are rational numbers

Step-by-step explanation:

A square of 23,23,24 or 25 all are rational numbers.

25 is the rational number

While a common rule of thumb is to have a minimum sample size of 100 for continuous data to be statistically significant, the actual appropriate sample size may vary depending on the specific study design and research question. Option(D)

In statistics, the term "statistical significance" refers to whether an observed effect or relationship in the data is likely to be real and not just due to random chance. To determine statistical significance, we often perform hypothesis testing.

The sample size is a crucial factor in hypothesis testing. A larger sample size generally provides more reliable and precise estimates of population parameters and increases the statistical power of the test. With a larger sample size, even smaller effects or differences between groups can become statistically significant.

While there is no hard and fast rule for the minimum sample size to achieve statistical significance, a common guideline is to aim for at least 30 samples. This guideline is often used in the context of the Central Limit Theorem, which states that the sampling distribution of the sample mean becomes approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In practice, the appropriate sample size depends on various factors, including the nature of the data, the effect size being studied, the desired level of confidence, and the statistical test used. Researchers often conduct sample size calculations based on these factors before conducting their studies to ensure they have an adequate sample size to achieve meaningful results and detect significant effects if they exist.

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Answer:

To find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.

Step-by-step explanation:

The absolute threshold is defined as the minimum detectable stimulus or intensity.

The absolute threshold refers to the minimum amount or level of a stimulus that is required for it to be detected or perceived by an individual. It is the point at which a stimulus becomes perceptible or noticeable to a person.

In sensory psychology, the absolute threshold is typically measured in terms of the lowest intensity or magnitude of a stimulus that can be detected accurately by a person at least 50% of the time. It represents the boundary between the absence of perception and the presence of perception.

The absolute threshold can vary depending on the sensory modality being tested. For example, in vision, it may refer to the minimum amount of light required for a person to see an object. In hearing, it may represent the minimum sound intensity needed for an individual to hear a tone.

Several factors can influence the absolute threshold, including individual differences, physiological factors, and the nature of the stimulus itself. Factors such as sensory acuity, attention, fatigue, and background noise can all affect an individual's ability to detect a stimulus.

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Answer:

I think the answer is c.CB

Answer:

x = 16

y = 116

Step-by-step explanation:

Given is a figure of isosceles trapezoid. One pair of opposite sides are parallel and non-parallel sides acts as it's transversals.

Therefore,

4x° + (6x + 20)° = 180° ( interior angles on the same side of transversal)

(6x + 20 + 4x)° = 180°

(10x + 20)° = 180°

10x + 20 = 180

10x = 180 - 20

10x = 160

x = 160/10

x = 16

Measure of base angles of an isosceles trapezoid are equal.

Therefore,

y° = (6x + 20)°

y = 6x + 20

y = 6*16 + 20

y = 96 + 20

y = 116

Step-by-step explanation:

to fully answer we would need to see at least one specific size (segment lengths, angle sizes).

but there is not one in the whole visible picture. so, everything just stays relative.

just be the presentation in the picture, angle 6 is larger than 90 degrees. so, B or D would be right.

if it helps you, it is clear that 6 = 1 = 9 = 14 = 180-2 = 180-5 = 180-10 = 180-13.

Answer:

a) log 2 (48 ×3 ×9 )

log 2 1296

10.3

b) log 4 24 - log 4 3/4 log 4 2

log 4 36

2.58

Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

The number of bags of fiber stuffing needed to fill the cones is 52 bags.

Given:

Height (h) = 10 inches

Radius (r) = 4 inches

To calculate the number of bags of fiber stuffing needed to fill the ice cream cones, we first need to calculate the volume of a single cone ( cone + hemisphere) using its height and radius.

The volume of a cone can be calculated using the formula:

= (1/3) πr²h

The volume of a hemisphere can be calculated using the formula:

= (2/3) πr³

Substituting these values into the formula, we can find the volume of a single cone:

V = (1/3) π × 4² × 10 + (2/3)π × 4³

V = 167.5 + 134.04

V = 301.54

V ≈ 167.5516 cubic inches (rounded to 4 decimal places)

Now, to determine the number of bags of fiber stuffing needed, we divide the total volume of the cones by the volume that can be filled by a single bag of fiber stuffing:

Number of bags = Total volume of cones / Volume filled by a single bag

Total volume of cones = Volume of a single cone x Number of cones

Total volume of cones = 167.5516 cubic inches x 125 cones

Total volume of cones ≈ 37692.66 cubic inches (rounded to 2 decimal places)

Number of bags = 37692.66 cubic inches / 720 cubic inches (per bag)

Number of bags ≈ 52 (rounded to nearest whole number)

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Answer:

Well, I can answer the 1st question. There are 2 angles and 3 sides on the triangle.

Step-by-step explanation:

Answer:

3. $1664.99

Step-by-step explanation:

1) the area of triangle is

a = 14

b = 19 + 33 - 28 = 24

S = 24 * 14 * 1/2 = 168 ft^2

2) the are of rectangle between the biggest rectangle and triangle is

a = 28 - 19 = 9

b = 14

S = 14 * 9 = 126 ft^2

3) the area of rectangle is

19 * 37 = 703 ft^2

4) the sum of all areas is

703 + 126 + 168 = 997

5) the wax will cost

997 * 1.67 = 1664.99

Answer:

17.03 inches

Step-by-step explanation:

Circumference = 2 π r

since circumference is 107 inches

Answer:

A.

Step-by-step explanation:

Potential energy is energy that is collected when it has the most intention. In this case, the ball is on top of the hill, and has the potential to roll down. Ball D has the least potential because it is on the lowest part of the hill.

----------

Answer:

I'm not as sure about this one, but I THINK it's B...?

Step-by-step explanation:

You might want to double check with someone else about that one, but I think it's ball B because kinetic energy is energy in motion. If you think about it, when you roll a ball down a hill the first "dip" is where it goes fastest, thus more kinetic energy.

The potential energy of the ball at point {A} will be maximum.

The gravitational potential energy is the energy of a body due to its position with respect to earths surface. Mathematically, we can write the formula for potential energy as -

E{p} = mgh

Given is a graph that shows a ball rolling.

The heights of various points can be arranged as -

H{A} - Maximum height

H{D} - Minimum height

E{p} \($\alpha\) H

We can arrange the potential energies of various points can be arranged as -

H{A} - Maximum Potential energy

H{D} - Minimum Potential energy

Therefore, the potential energy of the ball at point {A} will be maximum.

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Answer:

a) 0

b) 1

c)3

d) 1

Step-by-step explanation:

plz mark me brainlist

Answer: 3 (I think)

Step-by-step explanation: 3 is 3/1 as a fraction sooooo

Answer:

The equation in the slope-intercept form is

y = -5x - 41

Step-by-step explanation:

The given equation in the question is;

y = -5x + 2

The equation of a straight line graph can be written in the form;

y = mx + c

where m is the slope and c is the intercept

From here, we can see that the slope m is -5

Since the line is parallel to the new line we are trying to write its equation, it means that they have the same value of intercept.

Hence, the slope of the new line is also -5

Now, we can write the equation of the new line as;

y = -5x + c

we need to get the value of c here however

To get the value of c, we need to input the value of x and y

From the graph, x = -7 and y = -6

Substituting these values, we have;

-6 = -5(-7) + c

-6 = 35 + c

c = -6 -35

c = -41

So the equation of the new line will be;

y = -5x - 41

The probability of waiting more than 15 minutes for customer service when calling a company with a mean wait time of 10 minutes and a standard deviation of 4 minutes is about 10.56%.

To find the probability that the wait time is greater than 15 minutes, we need to use a standard normal distribution table or a calculator that can perform normal distribution calculations. We can standardize the wait time using the formula:

Z = (X - μ) / σ

Where X is the value we want to find the probability for (in this case, X = 15), μ is the mean (μ = 10), and σ is the standard deviation (σ = 4).

Plugging in the values, we get:

Z = (15 - 10) / 4 = 1.25

Now, we can use the standard normal distribution table or calculator to find the probability of Z being greater than 1.25.

The table gives us a probability of 0.1056, which means that the probability of waiting more than 15 minutes for customer service is approximately 10.56%.

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a.one-way independent ANOVA

Choose inferential test based on data type and research design. One-way independent ANOVA for 3+ independent groups. Two-way independent ANOVA for 2 independent variables. Two-way repeated ANOVA for repeated measures at multiple time points from same group. Two-way mixed ANOVA for both independent groups and within-group repeated measures.

Inferential tests are statistical tools that are used to analyze data and draw conclusions about a population based on a sample. The choice of the inferential test depends on the type of data and the research design used.

One of the most commonly used inferential tests is the ANOVA (analysis of variance), which compares the means of two or more groups. The one-way independent ANOVA is used to compare means of three or more independent groups, while the two-way independent ANOVA is used to analyze data with two independent variables.

The two-way repeated ANOVA is used when data is collected at multiple time points from the same group, while the two-way mixed ANOVA is used when data is collected from both independent groups and within-group repeated measures.

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