Read the picture and answer, it would be appreciated if this could get answered fast!

If the cost to fill a gas tank in 1995 is $15 then the cost to fill a gas tank in 2015 is equals to the $31.25.

Price Index is a effective method of comparing relative change in the price of a quantity with respect to its price in a reference year. This year which we use as a reference is called the base year and price index is ratio of the price of a product in a year to its price in the base year ( expressed in percentage ).

The cost to fill a gas tank in 1995 = $15

Price index in 1995 = 100.8%

price index in 2015 = 210.0%

In this case we want to determine the cost to fill a gas tank in 2015. Let the required cost value be x dolars. Using the formula, price index in 1995/price index in 2015 = reference value/ value in 2015

=> 100.8% /210% = 15/x

=> 2015 cost value, x =( 15 × 210 )/100.8

=> x = 3150/100.8

=> x = 31.25

Hence, required value is $31.25.

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Complete question:

If it cost $15 to fill a gas tank in 1995, how much would it cost to fill the same tank in 2015. 1995 index is 100.8%

2015 index is 210.0% round your answer nearest cent.

False. If E and F are independent events, then Pr(E|F) is not necessarily equal to Pr(E).

The probability of an event E given event F, denoted as Pr(E|F), represents the probability of event E occurring given that event F has already occurred. In the case of independent events, the occurrence of one event does not affect the probability of the other event occurring.

By definition, two events E and F are independent if and only if Pr(E ∩ F) = Pr(E) × Pr(F), where Pr(E ∩ F) represents the probability of both events E and F occurring.

Now, let's consider the statement that Pr(E|F) = Pr(E) when E and F are independent events. This implies that the probability of event E occurring given that event F has occurred is the same as the probability of event E occurring without any knowledge of event F.

However, this is not necessarily true. The conditional probability Pr(E|F) takes into account the occurrence of event F, which may affect the probability of event E. Even if events E and F are independent, the value of Pr(E|F) may differ from Pr(E) if the occurrence of event F provides additional information or changes the probability distribution of event E.

The statement "Pr(E|F) = Pr(E)" when E and F are independent events is false. While independence between events E and F ensures that the occurrence of one event does not affect the probability of the other event, it does not guarantee that the conditional probability Pr(E|F) will be equal to the unconditional probability Pr(E).

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Answer:

12

Step-by-step explanation: Ryan played 12 songs because 9+3=12

The equation that models the data in the table is y = 0.2x.

What is meant by equation?

An equation is a mathematical statement that uses symbols to show that two expressions are equal. It typically contains variables, coefficients, and mathematical operations such as addition, subtraction, multiplication, and division.

What is meant by table?

A table is a set of data arranged in rows and columns, typically used to organize and present information in a structured and easy-to-read format. Tables can be used to store and display various types of data.

According to the given information

To write an equation to model the data, we can use the formula for direct variation:

y = kx

where k is the constant of variation.

To find k, we can use any of the pairs of values in the table. Let's use the first pair:

y = 0.4, x = 2

0.4 = k * 2

k = 0.2

Now that we have k, we can write the equation:

y = 0.2x

Therefore, the equation that models the data in the table is y = 0.2x.

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Total 55 pairwise comparisons must be made to determine the winner in an election with 11 candidates using the pairwise comparison method.

If there are total 11 candidates contested in the election , then the number of pairwise comparisons required to determine the winner using the pairwise comparison method is:

(11-1) + (11-2) + (11-3) + ... + (11-10)

The above expression can be simplified to as 10 + 9 + 8 + ... + 1

It is an arithmetic series (AP) having a common difference of -1 and a first term of 10. To calculate the sum of an arithmetic series the following formula can be utilized to find the total number of possible comparisons :

n/2 [2a + (n-1)d]

Here, n is the total number of terms, a is the first term, and d is the common difference.

In the problem, n = 10, a = 10, and d = -1. putting these values into the formula,

10/2 [2(10) + (10-1)(-1)] = 10/2 [20 - 9] = 10/2 × 11 = 55

So, there are total 55 pairwise comparisons to be made in order to determine the winner in an election with 11 candidates.

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Answer:

I am pretty sure the answer is a...

Step-by-step explanation:

If we say that h(z) is a constant k and k = 0, the potential function f(x, y, z) is g(x, y)

Here, g(x, y) is a function of the variables x and y, and has no dependence on z.

A function is a way two sets of values are linked: the input and the output. The function tells us what output value corresponds to each input value.

In function, each input has only one output, so it's like a rule that tells us exactly what to do with the input to get the output.

This rule can be written using Mathematical expressions, formulas, or algorithms to follow.

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Answer:

A. 2(x-3)=14

The original price is $10

Step-by-step explanation:

We know

The scarf went on sale for 3$ off the original price.

Catherine bought two of them.

She paid a total of $14

Let x represent the original price; we have the equation

2(x - 3) = 14

2x - 6 = 14

2x = 20

x = $10

So, the equation the model represents this situation is A. 2(x-3)=14

The original price is $10

the polar equation of the form r = f(t) for the curve represented by the Cartesian equation x = 3.sec(t)

To find a polar equation for the given Cartesian equation x = 3, we need to convert it into polar form. We know that x = rcos(t) and substituting x = 3, we get 3 = rcos(t). Solving for r, we get r = 3/cos(t) which simplifies to r = 3sec(t). The polar coordinate system uses an angle t (or theta) and a distance r to describe a point in the plane. To convert a Cartesian equation to polar form, we need to express x and y in terms of r and t. In this case, we are given x = 3. We know that x = rcos(t), so we substitute x = 3 into this equation and get 3 = rcos(t). Solving for r, we get r = 3/cos(t). This can be simplified to r = 3sec(t), which is our polar equation of the form r = f(t).

In this equation, sec(t) is the reciprocal of cos(t), which means that the value of r will get larger as cos(t) gets smaller (i.e. as t approaches 90 degrees or pi/2 radians). This makes sense since the Cartesian equation x = 3 represents a vertical line passing through the point (3,0) on the x-axis. As we move up the line (in the positive y direction), the distance from the origin increases and the angle t approaches 90 degrees. Therefore, the value of r should get larger as t approaches 90 degrees, which is exactly what our polar equation shows.

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Answer:0.09 < 0.6 < 0.7 < 0.8 < 0.99 < 1

Step-by-step explanation:

The quantity of more flour that she needs to add would be = 3/4

A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.

The quantity of flour Ryan needs for baking = 3¼

The quantity of flour she has already added = 2½

The remaining amount that she needs to add;

= 3¼-2½

= 3/4

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The graph that represents a function is graph C.

There is something called the vertical line test. It says that if we have the graph of a relation and we cand draw a vertical line that touches the graph more than once, then it is not a function.

In this case, for options A, B, and D, we can see that we can draw vertical lines that touch the graph more than once, then tese are not functions.

Then the correct option is C, that is a parabola, which is a function.

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It is true that r packages include sample datasets. They also include reusable r functions and documentation about how to use the functions.

The r packages do contain reusable r functions and documentation about how to use the functions. Not only that but they also include the sample data sets and provide tests for checking the code that we have generated.

The r packages are distributed with fifteen base packages that include grid, method, compilers, base, datasets, tools, splines, graphics, stats, stats4, translations, utils, grDevices, parallel, and tcltk.

These r packages introduce simpler ways of the r code distribution and documentation.

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Answer:

x= 60° , y = 60 °

Step-by-step explanation:

x = 60°

y = 60°

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

if you find it useful.

To write the coordinates of a point in a x - y plane you:

1. Find the distance in x-axis:

The given point A is 7 units distance in x-axis

2. Find the distance in y- axis

The given point A is -5 units distance in y-axis

You write the coordinates in form (x,y)

As x=7 and y=-5

Answer: -5,7

Step-by-step explanation:

Answer:

B: 3(x-6) = 3x-18

Step-by-step explanation:

The left and right sides of this equation are actually equal! We can see this by dividing the 3 on the left through the parentheses. This gives us \(3x-18\), which is equal to the right-hand side of the equation!

To solidify this, we add 18 to both sides, and subtract 3x from both sides, which gives us that 0=0, so there are infinitely many solutions for x(since no matter what x is, it will result in 0=0 which is always true).

I hope this helps!

Answer:

88

Step-by-step explanation:

line AC is equal to line DB

Answer:

1/2 × |AB| × |OE|

Step-by-step explanation:

use the formula for finding the area of a triangle.

Answer:

Metric

"Metric" means a unit, or measurement.

Hope this helps, have an awesome day! ♣

Can I have brainliest?

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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One type of t test that is suitable for this study is the related one-sample t test.

The T-test provides insight into whether the difference between the means of two groups is due to chance or is reliable (ie would be found again in another measurement from the same population).

t test is used for following purposes :

1. Testing significance between hypothetical mean of sample and population mean.

2. Testing significance between mean of 2 different samples.

3. Testing significance between mean of sample post and prior to a stimuli or operation.

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Answer:

6

Step-by-step explanation:

1. One comes first, two comes second, and three comes last.

2. one comes first, two comes last, and three comes second.

3. One comes second, Two comes first, and three comes last.

4. One come last, Two comes first, and three comes second.

5. One comes second, Two comes last, Three comes first.

6. One comes last, Two comes second, and Three comes first.

The measure of a coterminal angle to 28° can be 388° or -332°.

To sketch the angle of 28° in standard position, we start by drawing the initial side, which is the positive x-axis (horizontal line to the right). Then, from the endpoint of the initial side, we rotate counterclockwise by 28° to draw the terminal side. The terminal side will be at an angle of 28° above the positive x-axis.

To find a coterminal angle, we can add or subtract multiples of 360° (or 2π radians) to the given angle while keeping the terminal side in the same position. Since positive and negative rotations in multiples of 360° will result in the same terminal side, we have an infinite number of coterminal angles.

For the angle of 28°, some possible coterminal angles can be found by adding or subtracting multiples of 360°. For example:

28° + 360° = 388°

28° - 360° = -332°

Therefore, the measure of a coterminal angle to 28° can be 388° or -332°.

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Answer:

The fraction of people for 4th movie is 0.1167

Step-by-step explanation:

The number of people that bought a comedy movie ticket = 2/3

The number of people that bought the horror movie ticket = 1/4

The number of people that bought kids movie ticket = 3/10

Total number people for three movies = 2/3 + ¼ + 3/10 = 0.8833

The fraction of people for 4th movie = 1 – 0.8833 = 0.1167

The probability of a customer choosing either a strawberry milkshake or cone, The value of z = 0.2

What is probability?

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

Sum of probabilities:

"The sum of the probabilities of all outcomes must equal 1."

For given situation,

An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.

The probability of customers choosing Vanilla flavor = 0.45

The probability of customers choosing Chocolate flavor = 0.35

We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.

The sum of the probabilities of all outcomes must equal 1.

From given tree diagram,

⇒ 0.45 + 0.35 + z = 1

⇒ 0.8 + z = 1

⇒ z = 1 - 0.8

⇒ z = 0.2

Therefore, the correct answer is option (A)

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The region enclosed by the given curves are integrated with respect to x and the area is 4.2724 square units.

In this question,

The curves are y = 2/x, y = 2/x^2, x = 4

The diagram below shows the region enclosed by the given curves.

From the diagram, the limit of x is from 1 to 4.

The given curves are integrated with respect to x and the area is calculated as

\(A=\int\limits^4_1 {\frac{2}{x} } \, dx -\int\limits^4_1 {\frac{2}{x^{2} } } \, dx\)

⇒ \(A=2[\int\limits^4_1 {\frac{1}{x} } \, dx -\int\limits^4_1 {\frac{1}{x^{2} } } \, dx]\)

⇒ \(A=2[\int\limits^4_1( {\frac{1}{x} } - {\frac{1}{x^{2} } } )\, dx]\)

⇒ \(A=2[lnx-\frac{1}{x} ] \limits^4_1\)

⇒ \(A=2[(ln4-\frac{1}{4} )-(ln1-\frac{1}{1} )]\)

⇒ A = 2[(1.3862-0.25) - (0-1)]

⇒ A = 2[1.1362 + 1]

⇒ A = 2[2.1362]

⇒ A = 4.2724 square units.

Hence we can conclude that the region enclosed by the given curves are integrated with respect to x and the area is 4.2724 square units.

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Answer:

97.8263768112

Step-by-step explanation:

Geometric Mean is denoted as 'x'

x = √(110×87)

x = √9570

∴ x = 97.8263768112

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If a shipping container will be used to transport several 40-kilogram crates across the country by rail. The inequality that  can be used to determine x is: 40x≤ 25,500-6,400 and the number of 40-kilogram crates that can be loaded into the shipping container is:  x=≤ 477.5.

x is the integer

First step is to formulate the inequality

40x≤ 25,500-6,400

Now let determine the x by using the inequality

40x≤ 25,500-6,400

40x≤19,100

x=≤19,100/40

x=≤ 477.5

Therefore If a shipping container will be used to transport several 40-kilogram crates across the country by rail. The inequality that  can be used to determine x is: 40x≤ 25,500-6,400 and the number of 40-kilogram crates that can be loaded into the shipping container is:  x=≤ 477.5.

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The set of ordered pairs that is a function is (c)  {(-2, -6), (-5, -6), (9, -2), (7, 3)}

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

here, we have,

to determine the ordered pair that is a function:

The list of options represents the given parameter

As a general rule, for an ordered pair to be a function;

The y values on the ordered pair must point to different x values

In (a) the y values -1 and 7 have the same x value of 1

So, it is not a function

In (b) the y values -4 and -6 have the same x value of 3

So, it is not a function

In (c) all the y values have different x values

So, it is a function

In (d) the y values -5 and -1 have the same x value of -6

So, it is not a function

Hence, the ordered pair that is a function is (c)

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Answer:

she can eat 0.4 hot dogs per minute

Answer:

first we will not know the hotdogs number

Step-by-step explanation:

because you wrote for not four but it can be 4hoursand10minute