HELP PLEASE!!! WILL GIVE BRAINLIEST!!
The price of fuel may increase due to demand and decrease due to overproduction. Marco is studying the change in the price of two types of fuel, A and B, over time.

The price f(x), in dollars, of fuel A after x months is represented by the function below:

f(x) = 2.27(0.88)x

Part A: Is the price of fuel A increasing or decreasing and by what percentage per month? Justify your answer. (I'VE ALREADY COMPLETED THIS; fuel A is decreasing by 12% per month. I just need help with Part B.)

Part B: The table below shows the price g(m), in dollars, of fuel B after m months:


m (number of months) 1 2 3 4
g(m) (price in dollars) 3.44 3.30 3.17 3.04


Which type of fuel recorded a greater percentage change in price over the previous month? Justify your answer.

Answers

Answer 1

Answer:

A. .88 < 1, so the price of Fuel A is decreasing by 12% per month.

B. Fuel B, from months 1 to 4:

[tex] \frac{3.04 - 3.44}{3.44} (100\%) = - 11.63\%[/tex]

Over this four-month period, Fuel B's price has decreased by about 11.63%.

[tex] \sqrt[3]{1 - .1163} = \sqrt[3]{.8837} = .9596[/tex]

[tex]1 - .9596 = .0404 = 4.04\%[/tex]

So Fuel B's price has been decreasing by an average of about 4.04% per month. Fuel A recorded the higher percentage change in price per month.


Related Questions

for which data frequency is seasonality not a problem? group of answer choices monthly. weekly. annual. daily. quarterly.

Answers

Seasonality may be less of a problem for annual data frequency as there may be less variation due to the longer time interval.

What is annual data frequency?

Annual data frequency refers to data that is collected and reported on an annual basis. This means that the data points in the dataset represent a full year's worth of data, with one data point for each year. Annual data is often used in economic indicators, such as gross domestic product (GDP) or unemployment rates, and can provide insights into long-term trends and changes over time.

What is GDP?

GDP stands for Gross Domestic Product, which is a measure of the total value of goods and services produced within a country's borders during a specific time period, typically a year. It is used as an indicator of a country's economic health and growth. GDP is calculated by adding up the total spending on consumption, investment, government spending, and net exports (exports minus imports) during the period.

According to the given information

Seasonality may still be a problem for data frequencies of monthly, weekly, daily, and quarterly as certain patterns or fluctuations may occur within each of these time intervals. Seasonality may be less of a problem for annual data frequency as there may be less variation due to the longer time interval.

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we wish to estimate the proportion of all college students who are working while going to school to within 4% at the 90% confidence level. we believe the true proportion is around 40%. how large a sample should we take to get the desired accuracy?

Answers

To estimate the sample size required for estimating the proportion of college students who are working while going to school with a desired accuracy of 4% at a 90% confidence level, we can use the following formula:

n = (Z^2 * p * (1-p)) / (E^2)

where:

n is the sample size

Z is the Z-score corresponding to the desired confidence level (90% confidence level corresponds to a Z-score of 1.645)

p is the estimated proportion (or expected proportion) of the population

E is the desired margin of error

Given:

Desired accuracy (E): 4% or 0.04

Confidence level (Z-score): 1.645 (corresponding to 90% confidence level)

Estimated proportion (p): 0.40 (or 40%)

Plugging the values into the formula, we get:

n = (1.645^2 * 0.40 * (1-0.40)) / (0.04^2)

n = 0.1239 / 0.0016

n ≈ 77.4375

Rounding up to the nearest whole number, the estimated sample size required to achieve the desired accuracy is 78.

So, a sample size of at least 78 college students would be needed to estimate the proportion of college students who are working while going to school with a margin of error of 4% at a 90% confidence level, assuming an estimated proportion of 40%.

plsss answer i'll give 50

Answers

Step-by-step explanation:

I know it not all but this is what I have

Write a quadratic function in intercept (factored) form that passes through (-4,0), (4,0), and (−2,12).​

Answers

The equation of the quadratic function is y = -x² + 16 in intercept (factored) form.

How to Write a Quadratic Function in Intercept Form?

To write a quadratic function in intercept (factored) form that passes through (-4,0), (4,0), and (−2,12), we need to use the factored form of the quadratic equation:

y = a(x - r)(x - s)

where a is the leading coefficient, and r and s are the x-intercepts.

From the given points, we can see that the x-intercepts are -4 and 4, so we have:

y = a(x + 4)(x - 4)

To find the value of a, we can use the point (-2, 12) which lies on the curve. Substituting these values, we get:

12 = a(-2 + 4)(-2 - 4)

12 = a(2)(-6)

a = -1

Thus, the quadratic function in intercept (factored) form that passes through (-4,0), (4,0), and (−2,12) is:

y = -1(x + 4)(x - 4)

y = -(x²- 16)

y = -x² + 16

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Solve for length of segment d.
= 4 cm
b = 12 cm
c = 6 cm
4. ? =
].d
Enter the segment length tha
belongs in the green box.
If two segments intersect inside
or outside a circle: ab = cd

Answers

Answer: Using the given information and the formula ab = cd, we can write:

d = (ab) / c

We are given b = 12 cm and c = 6 cm. To find ab, we can use the Pythagorean theorem:

a^2 + b^2 = c^2

where a is the unknown length we want to find. Substituting the given values, we get:

a^2 + 12^2 = 6^2

a^2 + 144 = 36

a^2 = -108 (which is not a possible solution)

This means that the given values do not form a valid triangle. Therefore, we cannot find the length of segment d using the given information.

Step-by-step explanation:

Lin plans to swim 12 laps in the pool. She has swum 9.75 laps so far.

How many laps does she have left to swim? Use y
for the number of laps that Lin has left to swim.

Answers

Lin plans to swim 12 laps and has already swum 9.75 laps, so the number of laps she has left to swim can be found by subtracting 9.75 from 12:

y = 12 - 9.75

Simplifying the right side:

y = 2.25

Therefore, Lin has 2.25 laps left to swim.

I will be given brainliest!!!!

Answers

Answer:2/3

Step-by-step explanation:

its the only possible answer because it needs to have a scale factor below one as A'B'C'D' is smaller than ABCD

Answer: 2/3

Step-by-step explanation:

The corresponding side of AD is A'D'.

AD = 30

A'D' = 20

Scale factor = 2/3 because AD * 2/3 = A'D'

If I'm wrong, please tell me.

find the measurement of angle A and round the answer to the nearest tenth.
(Show work if you can plsss).

Answers

Answer:

40.8°

Step-by-step explanation:

SohCahToa

use tan

tan^-1(19/22)

=40.81508387

=40.8

Answer:

Step-by-step explanation:

Here,

Opposite side is 19

Adjacent side is 22

To find : The value of Angle A, that is X°.

Formula

Tan X° = Opposite side/Adjacent side

Tan X° = 19/22 = 0.863 ( approximately )

X° = Tan inverse (0.863)

X° = 40.79° ~ 40.8°

Rounding off this to nearest tenth is 41°.

Hence,

X° = 41°

That is,

Angle A is 45°.

Write the coordinates of the vertices after a reflection over the line x = 1.

Answers

The coordinates of the vertices B, D and C after a reflection over the line x = 1 are B'(1,7), D'(1,6) and C'(-8, 7).

Explain about reflection about x axis:

The picture M', whose coordinates are in the fourth quadrant and created when point M is mirrored in the x-axis, is (h, -k). As a result, we deduce that when a point is reflected along the x-axis, the x-coordinate stays constant while the y-coordinate changes to the negative.

As a result, M'(h, -k). is the image for point M (h, k)

Given data:

coordinates of the vertices before reflection:

B(1,7), D(1,6) and C(10, 7).

Reflection about x = 1.

As Point B and D lies on the line x = 1, their coordinates will  not change.

C is 9 units to the right of the line x = 1 at (10, 7)

Thus, after reflection C will be 9 units to the left of the line x = 1 at (-8, 7).

Therefore, the coordinates of the vertices B, D and C after a reflection over the line x = 1 are B'(1,7), D'(1,6) and C'(-8, 7).

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Solve x^2 + 6x + 9 = 0 by graphing. Please enter the number part of your answer only.

If your answer has two numbers, enter them like this: x = 6 and -1 should be entered as "6, -1" (no quotes).

Answers

Answer:

  -3

Step-by-step explanation:

You want the graphical solution to x² +6x +9 = 0.

Graph

The graph of the expression on the left shows it has a value of 0 when x = -3.

The solution is x = -3.

__

Additional comment

A graphing calculator is very helpful when you want a graphical solution.

If you want to graph this by hand, you can rewrite it as ...

  (x +3)² = 0

The graph of (x +3)² is a graph of the parent function y = x² after it has been shifted left 3 units. The graph will go through points (-5, 4), (-4, 1), (-3, 0), (-2, 1), (-1, 4). Of course the point at (-3, 0) indicates the solution is x=-3.

HELP ASAP PLEASE!! DUE IN 10 MINS

Answers

1. A hamburger combo meal in Poland costs approximately $1.13.

2. A hamburger combo meal in Mozambique costs approximately $5.12.

A hamburger combo meal in Poland will equals to;

To find the dollar price of a hamburger combo meal in Poland, we need to divide the price in Polish Zlotys by the exchange rate for January:

= 5.08 Polish Zlotys / 4.5

= $1.13

A hamburger combo meal in Mozambique will equals to:

To find the dollar price of a hamburger combo meal in Mozambique, we need to divide the price in Mozambique Meticals by the exchange rate for February:

= 338 Mozambique Meticals / 66.00

= $5.12

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Louise and girl lol repaired a computer and we're paid 1165.50 if Carla work for 12 hours and Louis work for nine hours how much was their pay per hour?

Answers

The amount of their pay per hour is $55.5

How to determine the amount?

The given parameters that will help us to get the amount are.

Louise repaired a computer for each hour she works and we're paid 1165.50

The question reads that if Carla work for 12 hours and Louise work for nine hours

this implies that 12x + 9x = 1165.50

This implies that 21x = 1165.50

Dividing both sides of the equation by 2 to get

21x/21 = 1165.50/21

x = 55.5

So, their  their pay per hour is $55.5

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2. There are 80 girls in the sophomore class of 200 students. Find the ratio of girls to non-girls.

Answers

Answer: 2 girls to 3 non-girls

Step-by-step explanation:

80 are girls

120 are boys (200-80)

80:120

simplify

2:3

I need help finding each measure.

Answers

Applying the properties of the isosceles trapezoid, we have:

m<J = 83°

m<L = 97°

m<M = 97°

What is an Isosceles Trapezoid?

An isosceles trapezoid is a trapezoid that has two equal legs. The lower base angles are equal, as well as the upper base angles are equal.

One lower base angle is always supplementary to any upper base angle.

Thus, using the information above about the isosceles trapezoid, we have:

m<J = m<K = 83°

m<L = 180 - 83

m<L = 97°

m<M = m<L = 97°

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The function y =30+5x represents the cost y (in dollars) of having your dog groomed and buying x for extra services. Sorry my mind is numb I have had a butt ton of work cut out for me. ​

Answers

Yes, the situation is a linear function as y = 30 + 5x is representing the standard form of a linear equation y = mx + b where m is the slope and b is the y-intercept.

Function is equal to ,

y = 30 + 5x

General form of the linear function is written as

y = mx + b

Here, the slope of the equation is 5,

This implies that for every additional service bought the cost increases by $5.

The y-intercept of the equation is 30.

This represents the initial cost of getting the dog groomed without any additional services.

The graph of this function will be a straight line.

And the relationship between the cost and the number of extra services bought will be linear.

When the number of extra services bought increases the cost of grooming the dog will increase by a constant amount .

Here the constant amount is equals to $5 per service.

Therefore, the function y = 30 + 5x is representing a linear function with slope 5 and y-intercept 30.

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The above question is incomplete, the complete question is:

The function y =30+5x represents the cost y (in dollars) of having your dog groomed and buying x extra services. Does this situation represent a linear function? Explain​

A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth . Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 45.

Answers

The sampling distribution in this case is positively skewed. This is due to the fact that the mean is greater than the median, and the data is spread out further to the right than to the left, resulting in a long right tail on the histogram.

What is data?

Data is information that has been collected, organized, and presented in a meaningful way. It can include facts, figures, observations, and other information, such as survey responses, images, and videos. Data is used to inform decision-making, inform research and analysis, and generate insights. Data can be qualitative or quantitative, and it is often gathered from multiple sources. Data can be collected through surveys, experiments, observational studies, or other methods. When combined with analytical tools, data can be used to identify patterns and trends, generate insights, and develop strategies.

The best description of the shape of the sampling distribution in this case would be positively skewed. Positively skewed distributions occur when the mean is greater than the median, and the data is spread out further to the right than to the left. This results in a long tail on the right side of the histogram that skews the data in a positive direction. To determine if this is the case, we can calculate the mean and median of the data.

To calculate the mean, we will use the formula for the population mean: $$\mu = \frac {\sum_{i=1}^n x_i} n$$

where $\mu$ is the population mean, $\sum_{i=1}^n$ represents the sum of all the data points, and $n$ is the sample size.

For the median, we can use the formula for the population median: $$Median = \frac{n+1}{2}th \ \ term$$

where $n$ is the sample size.

In this case, the sample size is 36, so the median would be the 18.5th term.

Now that we have the formulas, we can calculate the mean and median of the data.

The mean of the data is $46,408.89$.

The median of the data is $25,000.

Since the mean is greater than the median, it indicates that the data is positively skewed. This is further confirmed by examining the histogram of the data, which shows a long right tail on the right side of the histogram.

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This is for the unit 4 lesson 7 Triangles Unit Test please help. Identify the combination of angle measures that could form a triangle

Answers

The combination of angle measures that could form a triangle are (a) 22, 140, 18 degrees and (c) 55, 67, 58 degrees.

In a triangle, the sum of the three interior angles is always equal to 180 degrees. Therefore, if the sum of the given angle measures is equal to 180 degrees, they could form a triangle.

For option a) 22 + 140 + 18 = 180, so the given angles could form a triangle.

For option b) 72 + 92 + 46 = 210, which is greater than 180, so the given angles could not form a triangle.

For option c) 55 + 67 + 58 = 180, so the given angles could form a triangle.

Therefore, the correct options are (a) 22,140,18 degrees and (c) 55,67,58 degrees

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The given question is incomplete, the complete question is:

Identify the combination of angle measures that could form a triangle

a) 22,140,18 degrees

b) 72,92,46 degrees

c)  55,67,58 degrees

One computer can process a payroll in 6 hours a new computer can do it in 4 hour how long would it take both computers together

Answers

Both computers working together can process the payroll in 2.4 hours.

Let's denote the time it takes for both computers working together to process the payroll as "t".

We can use the formula:

work done = rate x time

where "work done" is the same in both cases, as they are processing the same payroll. Therefore, we can set up an equation using the rates :

1/6 + 1/4 = 1/t

We can simplify the left-hand side of the equation:

2/12 + 3/12 = 1/t

5/12 = 1/t

Multiplying both sides by 12t:

5t = 12

t = 12/5

t = 2.4

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g fit the logistic regression model to predict diabetic status based on age and glucose levels. what is the odds of ratio of being diabetic for older adults compared to adults while controlling for glucose levels? round your answer to 0.01.

Answers

To calculate the odds ratio of being diabetic for older adults compared to adults while controlling for glucose levels in a logistic regression model, we exponentiate the coefficient estimate for Age. For example, if the estimate is 0.05, the odds ratio is 1.65.

To obtain the odds ratio for older adults compared to adults while controlling for glucose levels in a logistic regression model predicting diabetic status based on age and glucose levels, we would need to look at the coefficient estimate for the age variable. Let's say the logistic regression model is

logit(P(Diabetic)) = β_0 + β_1Age + β_2Glucose

where P(Diabetic) is the probability of being diabetic, Age is the age in years, and Glucose is the glucose level in mg/dL. β_1 represents the coefficient estimate for Age.

To calculate the odds ratio for older adults (e.g., those who are 10 years older than the average age in the sample) compared to adults while controlling for glucose levels, we can exponentiate the coefficient estimate for Age and round to 0.01. That is

OR = exp(β_1*10)

For example, if the coefficient estimate for Age is 0.05, then:

OR = exp(0.05*10) = 1.65

This means that for every 10-year increase in age, the odds of being diabetic compared to non-diabetic increase by a factor of 1.65 while holding glucose levels constant.

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An artist melts one-half of a crayon per minute. Another artist takes x minutes to melt a crayon of the same size. Write an expression for the number of crayons the two artists melt in twenty minutes when they both work for the full twenty minutes.

WILL GIVE BRAINLIEST!!

Answers

The two artists will melt:

10 + 20/x crayons

in 20 minutes.

Write an expression for the number of crayons the two artists melt in twenty minutes when they both work for the full twenty minutes.

The first artist melts one-half of a crayon per minute, so in 20 minutes, they will melt:

(1/2) x 20 = 10 crayons

The second artist takes x minutes to melt a crayon, so in one minute, they will melt:

1/x crayons

Therefore, in 20 minutes, the second artist will melt:

(1/x) x 20 = 20/x crayons

Together, the two artists will melt:

10 + 20/x crayons

in 20 minutes.

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which expressions are equivalent to 8 13 ?

Answers

The next four equivalent fractions of 8/13 are:

16/2624/3932/5240/65

What are some equivalent fractions of 8/13?

Equivalent fractions are fractions that represent the same value but have different numerator and denominator. To find equivalent fractions of 8/13, we can multiply both the numerator and the denominator by the same non-zero integer.

In this case, we multiplied the numerator and denominator by 2, 3, 4, and 5, respectively, to obtain the next four equivalent fractions: 16/26, 24/39, 32/52, and 40/65. These fractions have different numerators and denominators, but they are equivalent to 8/13 as they represent the same value or amount.

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find the volume of a cylinder with a diameter of 16 mi and a height of 5 mi

Answers

Answer: 320π or approximately 1005.31 mi

Step-by-step explanation:

The formula for the volume of a cylinder is

π r² h

we need to find the radius which is 16/2 = 8

plug in and solve

π 8² *5

π 64 *5

320π or approximately 1005.31 mi

Find the number of possibilities in each scenario

Find the number of ways 4 members from a family’s of 5 can line up for a photo shoot

Answers

There are  [tex]5[/tex] ways to choose 4 members from a family of 5 to line up for a photo shoot.

What is the number of possibilities?

The problem you are describing is a classic example of a combination problem, specifically choosing a certain number of items from a larger set without regard to the order in which they are arranged.

The formula to calculate the number of ways to choose "r" items from a set of "n" items without replacement is given by the combination formula, also known as "n choose r" or denoted as C(n, r). The formula is:

[tex]C(n, r) = n! / (r! \times (n - r)!)[/tex]

where "!" denotes the factorial of a number, which is the product of all positive integers up to that number.

In your case, you are choosing 4 members from a family of 5 for a photo shoot, and the order in which they line up does not matter. So you need to find C(5, 4).

Plugging the values into the formula:

[tex]C(5, 4) = 5! / (4! \times (5 - 4)!) = 5! / (4! \times 1!) = (5 \times 4 \times 3 \times 2 \times 1) / ((4 \times 3 \times 2 \times 1) \times 1) = 5[/tex]

Therefore,  there are  [tex]5[/tex] ways to choose 4 members from a family of 5 to line up for a photo shoot.

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please help it’s a review question but i don’t get it

Answers

Possible translations such that the graph passes through the point (1,2) are given as follows:

Translate the graph one unit right and one unit up.Translate the graph three units right and two units down.

What is a translation?

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.

Two possible translations for the function to pass through the point (1,2) are given as follows:

Translate the graph one unit right and one unit up, considering that the function passes through the point (0, 1), hence x + 1, y + 1.Translate the graph three units right and two units down, considering that the function passes through the point (-2, 4).

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answer please!!!!!! i need this so i can pass my classes

Answers

The area of the shaded region is given as follows:

1.25 units squared.

How to obtain the area of a rectangle?

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width

The parameters for the shaded region in this problem are given as follows:

Length of 5 units.Width of 1/4 units.

Hence the area is given as follows:

Area = 5 x 1/4

Area = 1.25 units squared.

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Jessica wants to add a border around the edge of the solar panels to help protect them from weather events. Write the standard form expression that represents the amount of border material Jessica will need. Enter the correct answer in the box.


answer : 8c^2 + 24c - 6

Answers

The standard form expression that represents the amount of border material Jessica will need is 2L + 2W - 2x - 2y = -2B

To create this expression, we need to consider a few things. Firstly, we need to know the length and width of the solar panels. Let's say the length of the solar panel is L and the width is W. We also need to know the width of the border that Jessica wants to add. Let's call this value B.

The total amount of material needed for the border will be the sum of the material needed for the four sides of the solar panel. Each side will need a length of B, so the total length of the material needed will be 2B + 2L + 2W.

However, we can simplify this expression by putting it into standard form. Standard form expressions are written in a specific way that makes them easier to read and work with. In standard form, the expression is written as Ax + By = C, where A, B, and C are constants and x and y are variables.

To put the expression 2B + 2L + 2W into standard form, we need to group the variables together and move the constants to the other side of the equation. This gives us the expression 2L + 2W - Ax - By = -2B, where A and B are both equal to -2, and C is equal to -2B.

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Answer:

8c^2 + 24c - 6

Step-by-step explanation:

I got it right on edmentum

There are 549 coins in a bottle.

ſ of the coins are £1 coins.

164 of the coins are 50p coins.

The rest of the coins are 20p coins.

Work out the total value of the 549 coins in pounds (£).

+

Total marks: 4

Answers

The total value of the 549 coins in pounds (£) is £378.20 (or £379), depending on whether there are 110 or 111 20p coins.

Let's start by finding the number of £1 coins in the bottle. We know that ſ (one-half) of the coins are £1 coins, so:

ſ × 549 = 1/2 × 549 = 274.50

Since we can't have half a coin, we know that there are either 274 or 275 £1 coins in the bottle.

Next, we know that there are 164 50p coins in the bottle.

To find the number of 20p coins, we can subtract the number of £1 and 50p coins from the total number of coins:

549 - 274 (or 275) - 164 = 111 (or 110)

So, there are either 110 or 111 20p coins in the bottle.

To calculate the total value of the coins, we can multiply the number of each type of coin by its value and then add them up:

Value of £1 coins = £1 × 274 (or 275) = £274 (or £275)

Value of 50p coins = £0.50 × 164 = £82

Value of 20p coins = £0.20 × 111 (or 110) = £22.20 (or £22)

Total value = £274 (or £275) + £82 + £22.20 (or £22) = £378.20 (or £379)

Therefore, the total value of the 549 coins in pounds (£) is £378.20 (or £379), depending on whether there are 110 or 111 20p coins.

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true or false: when using a least squares regression line, we should not predict a value of y unless the given value of x is in the experimental region.

Answers

True, it is important to exercise caution when making predictions outside of the experimental region.

What is the importance of the experimental region?

When using a least squares regression line, we should not predict a value of y unless the given value of x is within the range of the data used to construct the regression model, which is known as the experimental region.

Extrapolating beyond this region may lead to unreliable predictions as the regression model may not hold true outside of the range of the data. Therefore, it is important to exercise caution when making predictions outside of the experimental region.

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Please help Thank you

Answers

The values of trigonometric-ratios in the given triangle whose legs are 4 and [tex]4\sqrt{3}[/tex] are:

a)sinθ=0.5

b)cosθ=0.866

c)tanθ=0.577

What is trigonometric-ratios ?

A right angle triangle has six trigonometric ratios: Sin, Cos, Tan, Cosec, Sec, and Cot. Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent are their respective acronyms. These ratios show the ratio of various sides depending on the angle selected.

Given sides of triangle: 4 and [tex]4\sqrt{3}[/tex]

hypotenuse=[tex]\sqrt{perpendicular^{2}+base^{2} }[/tex]

                  =[tex]\sqrt{4^{2}+\((4\sqrt{3}) ^{2} }[/tex]

                  =[tex]\sqrt{16+48}[/tex]

                  =8

a)Sin θ=[tex]\frac{side opposite to the given angle}{hypotenuse}[/tex]

Sin θ=[tex]\frac{4 }{8}[/tex]

Sin θ=[tex]\frac{1}{2}[/tex]

Sin θ=0.5

b)Cos θ=[tex]\frac{side adjacent to the given angle}{hypotenuse}[/tex]

            =[tex]\frac{4\sqrt{3} }{8}[/tex]

            =[tex]\frac{\sqrt{3} }{2}[/tex]

            =[tex]\frac{1.732}{2}[/tex]

Cos θ=0.866

c)tan θ=[tex]\frac{side opposite to the given angle}{side adjacent to the given angle}[/tex]

            =[tex]\frac{4}{4\sqrt{3} }[/tex]

            =[tex]\frac{1}{\sqrt{3} }[/tex]

tan θ=0.577

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A bookstore had 90 copies of a magazine. Yesterday, it sold 1/6 of them. Today, it sold 2/5 of the remaining copies. How many copies does the bookstore still have

Answers

Therefore , the solution of the given problem of unitary method comes out to be 45 copies of the magazine are still available at the bookstore.

Definition of a unitary method.

Use the tried-and-true core approach, the real variables, nor any useful information you learn from the general and detailed questions to finish the project expression. Customers may be given another chance to taste the products in response. If these improvements don't happen, we'll miss out on significant advancements in programming comprehension.

Here,

Let's figure out how many issues of the magazine are still available in the store.

Given: There were 90 copies in all when the bookstore opened.

1/6 of the total copies were sold at the bookstore yesterday.

=> 15 copies were sold yesterday = (1/6) * 90.

=> Total copies - Copies sold yesterday = 90 - 15 = 75 Remaining copies after yesterday's sale

=> 2/5 of the remaining copies were sold in the bookstore today.

30 copies were sold today, which

=>  (2/5) * 75.

The quantity of copies left after today's sale equals the quantity left after yesterday's sale. - Today's sales of copies:

=>  75 - 30 = 45

45 copies of the magazine are still available at the bookstore.

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