Sofia owns a small business selling ice cream. She knows that in the last week 56 customers paid cash, 6 customers used a debit card, and 18 customers used a credit card.



Based on these results, express the probability that the next customer will pay with a credit card as a fraction in simplest form

Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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12

Yes, it is possible to calculate the length of the altitude to the other side of the triangle. To do so, use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this triangle, the hypotenuse is the side of length 13 and the other two sides are the side of length 5 and the altitude to it. So, the equation to use is:

132 = 52 + altitude2

Solving for altitude gives:

altitude2 = 132 - 52

altitude2 = 169 - 25

altitude2 = 144

altitude = √144 = 12

Therefore, the length of the altitude to the side of the triangle with length 13 is 12.

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Answer 813.8

Step-by-step explanation:

Well 813.8 is the answer. Why? Lets talk it out if there are 75 submissions and it says Paul will accept 2/5 of the submissions so we have to do is 75- 2/5 will be 74.6 and multiply by 13 because 13 pages is in a article so we got 969.8 and then minus 156 because it asking us how many "more" pages they need so 813.8 is the answer if you subtract 969.8 and 156.

Answer:

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

The answer is B. 1/2

Step-by-step explanation:

You want to role a number less than 4 so you want 1,2,3 at least.

A dice has 6 numbers, 1-6.

So 3/6 = 1/2 making it a 50% change of you getting either 1,2,3.

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

\(GDP = 11(1.0220)^{t}\)

We can also see that the exponential model formula given by: governs this formula.

\(GDP = 11(1.0220)^{t\)

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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Answer: 40

Step-by-step explanation:

The concentration of pineapple when 2 gallons of pineapple juice are added to 6 gallons of the other juice is; 8.24

The function is a type of relation, or rule, that maps one input to a specific single output.

Given that the functions that model the concentration of apple juice in the drink after x gallons of the 20% drink are added to 2 gallons of pure juice.

f(x)=(2)(1.0)+x(0.2)²+x

If the concentration of apple when 2 gallons of apple juice are added to 6 gallons of the other juice;

f(6) = (2)(1.0)+ 6(0.2)²+ 6

f(6) = 2.0 + 6.24

f(6) = 8.24

Hence the concentration of pineapple when 2 gallons of pineapple juice are added to 6 gallons of the other juice is; 8.24

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The sum of three consecutive cubes is always divisible by 9. This can be proven by analyzing the patterns of consecutive cubes and their divisibility by 3.

To prove that the sum of three consecutive cubes is always divisible by 9, let's consider the cubes of consecutive numbers. The cube of any integer can be expressed as either a multiple of 3 or as a number that leaves a remainder of 1 when divided by 3.

When we sum three consecutive cubes, the possible combinations are (3k + 1) + (3k + 2) + (3k + 3), or (3k + 2) + (3k + 3) + (3k + 4), where k is an integer. In both cases, we can observe that each term is divisible by 3. Thus, the sum of three consecutive cubes will always be divisible by 3, and since 9 is a multiple of 3, it will also be divisible by 9.

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Answer: This is what i got x=1+i √2/3 not sure if that is what you need but hope it helps

Step-by-step explanation:

Answer:

\(x = \frac{ 1 + 1\sqrt{-1}}{3}\) and \(x = \frac{ 1 - 1\sqrt{-1}}{3}\)

Step-by-step explanation:

Hello!

The quadratic formula is: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\), derive from the standard form of a quadratic: \(ax^2 + bx + c\).

The expression 3x² - 2x + 1 is a lot like our standard form:

Let's plug in the values and solve.

Solve the Quadratic Formula:

The roots are \(x = \frac{ 1 + 1\sqrt{-1}}{3}\) and \(x = \frac{ 1 - 1\sqrt{-1}}{3}\)

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Answer:

200

Step-by-step explanation:

200 × 15 = 3000

hope this helps :)

The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.

The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.

As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1

As x approaches negative infinity, the value of the function approaches 1.

As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞

As x approaches positive infinity, the value of the function approaches infinity.

As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.

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Answer:

Step-by-step explanation:

Given the expression

∣x−10015∣∣≤23, we are to find the range of values of x

since the function is in a modulus sign, it can be expressed as a negative and positive function.

If the function is positive;

x -  10015 ≤23

x ≤23 + 10015

x ≤ 10038

If the function is negative;

-(x-10015)≤23

-x+10015≤23

-x≤23-10015

-x≤-9992

multiply through by -1

x ≥ 9992 (note the inequality sign change)

9992≤x

Combine both inequalities

9992≤x and x ≤ 10038

On combining;

9992≤x 10038

Hence the inequality to find the IQ scores for the middle 50% of the population is expressed as 9992≤x 10038

We want to solve an inequality to find the range of IQ scores for half of the population.

We will find that the range is:

77.15 ≤ x ≤ 123.15

The inequality we need to solve is:

|x - 100.15| ≤ 23

To solve it, we write two inequalities.

x - 100.15 ≤ 23

x - 100.15 ≥ -23

Solving these two, we will get the maximum and minimum of the range.

The maximum is given by:

x - 100.15 ≤ 23

x  ≤ 23 + 100.15 = 123.15

The minimum is given by:

x - 100.15 ≥ -23

x  ≥ -23 + 100.15 = 77.15

Then the range is:

77.15 ≤ x ≤ 123.15

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When data records are not in any desired sequence for processing or viewing the appropriate task is to sort the contents in different fields.

Depending on the method employed, the data collection process may include several stages. Here are a couple such examples:

Data generation is the process of discovering and organizing facts in an orderly manner. This could be a manually generated document or data gathered from a source and easily fed into a computer using a data capture device such as a barcode scanner.

Data preparation is the process of converting data from a source document to a machine-readable format. This may not apply to all input devices. Data obtained by devices that take data directly in digital form do not require transcription.

Data transmission will determine whether or not data must be delivered to the central server using communication means.

Manual labor is time-consuming and dull, especially when doing repetitive tasks. Mechanical devices were developed to help in the automation of manual tasks. Typewriters, printing presses, and weaving looms are examples of mechanical devices. Initially, these devices were devoid of electronic intelligence.

Scientists have spent a long time investigating methods to build devices or technologies that would stimulate some type of human intellect during information and data processing. This was made feasible in part by the development of electronic programmable devices such as computers.

The development of microprocessor technology substantially boosted the efficiency and capability of data processing. Examples include computers, cellular (mobile) phones, calculators, petroleum pumps, modern television sets, washing machines, and other microprocessor-controlled devices.

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Based on the variable declarations and initializations you provided:
int a = 2; int b = 6; int c = 3;
An expression that evaluates to false would be one where the conditions are not met. For example:
(a + b == c)
This expression checks if the sum of a and b is equal to c. In this case, (2 + 6) is not equal to 3, so the expression evaluates to false.

One possible solution is:
The given variable declarations and initializations are:
int a = 2;
int b = 6;
int c = 3;

To evaluate which of the following expressions is false, we need to look at each expression and see if it produces a Boolean value of false.
a < b || c > b

This expression is true because 2 is less than 6 and 3 is greater than 6. Therefore, the OR operator (||) returns true because at least one of the operands is true.
a + b > c && c - a < b

This expression is true because 2 + 6 is greater than 3 and 3 - 2 is less than 6. Therefore, the AND operator (&&) returns true because both operands are true.
b % c == a || c * b < a

This expression is false because 6 % 3 is equal to 0, which is not equal to 2. Therefore, the equality operator (==) returns false. Moreover, 3 times 6 is 18, which is not less than 2. Therefore, the second operand is also false. Therefore, the OR operator (||) returns false because both operands are false.

Therefore, the expression "b % c == a || c * b < a" evaluates to false.

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For this case, the first thing we must do is define variables.

We have then:

n: number of cans that each student must bring

We know that:

The teacher will bring 5 cans

There are 20 students in the class

At least 105 cans must be brought, but no more than 205 cans

Therefore the inequation of the problem is given by:

Answer:

105 < 20n + 5 < 205

the possible numbers n of cans that each student should bring in is:

105 < 20n + 5 < 205

The correct statement is,

⇒ The unknown number is 27.

We have to given that;

Maria is solving this number riddle by using guess and check:

⇒ Fifteen less than a number is twelve.\

Now, We can write as;

⇒ x - 15 = 12

Solve for x;

⇒ x = 15 + 12

⇒ x = 27

Thus, The correct statement is,

⇒ The unknown number is 27.

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Answer:

help tlwith with this question

Answer:

0 = 2f + 3g + 4f + -4g + 8

Step-by-step explanation:

The identity can be proven using the identity: tan (A + B) = (tan A + tan B)/(1 - tan A tan B).

The identity "tan (x-y) + tan (y-z) + tan (z-x) = tan (x-y) tan (y-z) tan (z+x)" is not true for all values of x, y, and z. This is because the tangent function is not one-to-one, meaning that different inputs can result in the same output, and it can also be undefined for some inputs.

The identity can be proven true only in certain special cases where the tangent function is defined and one-to-one. For example, if x, y, and z are chosen such that x, y, and z are all acute angles, the identity can be proven using the identity: tan (A + B) = (tan A + tan B)/(1 - tan A tan B)

where A and B are angles.  Let's start with the definition of tangent:

tan A = sin A/cos A

Similarly,

tan B = sin B/cos B

Now, we can use the sum formula for sine and cosine:

sin (A + B) = sin A cos B + cos A sin B

cos (A + B) = cos A cos B - sin A sin B

Dividing the above two equations, we get:

tan (A + B) = (sin A cos B + cos A sin B) / (cos A cos B - sin A sin B)

Using the definition of tangent, we can simplify the above expression:

tan (A + B) = (tan A + tan B) / (1 - sin A sin B/cos A cos B)

Since sin A/cos A = tan A and sin B/cos B = tan B, we can simplify further:

tan (A + B) = (tan A + tan B) / (1 - tan A tan B)

However, this proof is quite involved and beyond the scope of this answer.

In general, it is recommended to use other methods, such as graphical visualization or trigonometric identities, to solve problems involving the tangent function.

Therefore, The identity can be proven using the identity: tan (A + B) = (tan A + tan B)/(1 - tan A tan B).

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By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

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Answer:

a

Step-by-step explanation:

got it right in edmentum

The system of equation that is used to determine the number of cans of soup purchased and the number of frozen dinners purchased is 300x+450(x+5)=6000mg.

A linear equation can be generated by equating a linear polynomial over some field with zero coefficients. The values that, when substituted for the unknowns, make the equality true are the solutions of such an equation. The phrase linear equation is frequently used to refer to this specific scenario, in which the variable is appropriately referred to as the unknown.

Each solution in the case of two variables can be regarded as the Cartesian coordinates of a point on the Euclidean plane. A linear equation's solutions form a line in the Euclidean plane, and every line can be seen as a set.

Sodium contains in a can of soup is 300mg

Sodium contains in a can of frozen dinners is 450mg

Let the number of cans of soup purchased be x

Then, the number of frozen dinners purchased=x+5

Total sodium purchased=6000mg

So, 300x+450(x+5)=6000mg

Therefore, the system is 300x+450(x+5)=6000mg

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Yes, the test in an "if" function must evaluate to either a True or a False value.

An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.

When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.

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if $aaa 4$ can be expressed as $33 b$, where $a$ is a digit in base 4 and $b$ is a base greater than 5, the smallest possible sum $a b$ is 7.

The number of digits or combinations of digits used in a counting system to represent numbers is called a number base. A base can be any entire number more prominent than 0. The decimal system, more commonly referred to as base 10, is the most widely used system of numbers.

In base four, the number of copies of a power of four is represented by each digit of the number. That is, the number of ones you have is indicated by the first digit; The second displays your total number of fours; The third section reveals your total number of sixteens or four-times-fours; The fourth part tells you how many sixty-fours you have, or four times four times four; and so forth.

\(AAA_{4} = 33b\)

Let A= 0, 1, 2, 3

\(A.4^{2}+A.4^{1} +A.4^{0} = 3b^{1} +3b^{0} \\A.16+A.4+A=3b+3\\21A= 3. (b+1)\\7A=b+1\\b=7A-1\)

A   b=7A-1   A+B (b>7)

0          -1        -1

1           16        7

2          13       15

3          20      23

\(111_{4} = 33_{6}\)

The smallest possible sum $a b$ is 7.

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Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The sample size needed to provide a margin of error of 2 or less with a 0.95 probability when the population standard deviation equals 11 is option C, 117.

The formula for the margin of error (E) is:

E = z * (σ / sqrt(n))

where z is the z-score for the desired level of confidence (0.95 corresponds to z = 1.96), σ is the population standard deviation, and n is the sample size.

We are given that σ = 11 and we want the margin of error to be 2 or less with a 0.95 probability, so we can write:

2 = 1.96 * (11 / sqrt(n))

Solving for n, we get:

n = (1.96 * 11 / 2)^2

n ≈ 116.36

Rounding up to the nearest integer, we get n = 117.

Therefore, the sample size needed to provide a margin of error of 2 or less with a 0.95 probability when the population standard deviation equals 11 is option C, 117.

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Answer:

47°

Step-by-step explanation:

86°+47°+F=180° (reason : sum of angles in a triangle)

133°+F=180°

Collect like terms

F=180°-133°

F=47°

The volume of soup in the can at first is 546 millilitres.

Angela drank 390 millilitres of soup from a can of the soup. 2 / 7 of the soup was left in the can after drinking the soup.

Therefore, the amount of soup in the can at first can be calculated as follows:

let

x = amount of soup initially in the can

Therefore, using equation let's find the volume of soup initially in the can.

2 / 7 x + 390 = x

390 = x - 2 / 7 x

390 =  7x - 2x / 7

390 = 5x / 7

cross multiply

5x = 390 × 7

5x = 2730

divide both sides by 5

x = 2730 / 5

x = 546

Therefore,

volume of soup in the can = 546 millilitres

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Questions that require responses at fixed intervals along a scale of answers are called scale questions.

Closed-ended questions, such as the Likert Scale, are one of the most popular methods for gauging public opinion. To gauge people's opinions, attitudes, and beliefs, they employ psychometric testing. Statements are used in the questions, and respondents are asked how much they agree or disagree with each assertion. Likert Scale questions typically have a scale from 0 to 10, while shorter scales are also conceivable.

Every sort of research has benefits and drawbacks, and this particular question type has both in spades. The fundamental benefit of Likert Scale questions is that they follow a standard way of data collection, making them simple to comprehend.

Hence, according to the definition questions that require responses at fixed intervals along a scale of answers are called scale questions.

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At the optimal level where the present worth of cost is $3 million, the B/C ratio is 0 that is present worth of cost that optimizes the benefit/cost ratio.

To find the present worth of cost that optimizes the benefit/cost ratio, we need to solve the given equation:

(PW of benefits)² - 18 * (PW of cost) + 54 = 0

Let's solve this equation to find the present worth of cost.

By rearranging the equation, we have:

(PW of benefits)² = 18 * (PW of cost) - 54

Taking the square root of both sides, we get:

PW of benefits = √(18 * (PW of cost) - 54)

To optimize the benefit/cost ratio, we want to find the value of PW of cost that minimizes the denominator. In this case, we can consider the derivative of the benefit/cost ratio with respect to the PW of cost and set it equal to zero to find the minimum value. Taking the derivative of the benefit/cost ratio with respect to the PW of cost, we get:

d(B/C) / d(PW of cost) = -18 / (PW of benefits)

= -18 / √(18 * (PW of cost) - 54)

Setting the derivative equal to zero, we have:

-18 / √(18 * (PW of cost) - 54) = 0

Solving this equation, we find that PW of cost = $3 million.

Therefore, the present worth of cost for the project that optimizes the benefit/cost ratio is $3 million. To calculate the B/C ratio at the optimal level, we substitute the value of PW of cost into the equation:

(PW of benefits)² - 18 * (PW of cost) + 54 = 0

(PW of benefits)² - 18 * 3 + 54 = 0

(PW of benefits)² = 0

PW of benefits = 0

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