The range of a set of numbers is 6.
The maximum value is 4.
What is the minimum value?

Fractional-reserve banking is a process whereby a bank creates new money by taking deposits from customers and then lending out a portion of those deposits to other customers.


The amount of new money created is determined by the reserve rate—the percentage of deposits held in reserve instead of being loaned out.$1000 x 0.07 = $930

Cost is an expense associated with a purchase or service. It can refer to the monetary value of materials, labor, or other items used in the production of goods or services. It can also refer to the amount of time, effort, or resources required to complete a task. Cost is a fundamental element of any business decision and is typically used to make decisions about pricing, production, and other aspects of operations.

When the reserve rate is 25%, the maximum amount of new money a bank can create from an initial deposit of $1000 is $750. This can be calculated by multiplying the initial deposit by the reserve rate.

$1000 x 0.25 = $750

When the reserve rate is 7%, the maximum amount of new money a bank can create from an initial deposit of $1000 is $930. This can be calculated by multiplying the initial deposit by the reserve rate.

$1000 x 0.07 = $930

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A: Liam is correct. The graph shows a positive correlation between ice cream sales and temperature. As the temperature increases, ice cream sales also increase.

B: Armonte is not correct. There are a few reasons why the graph represents a correlation and not causation:

Correlation does not imply causation. Just because two variables are correlated, it does not mean that one variable causes the other.

There could be other variables that are affecting both ice cream sales and temperature. For example, if the graph was plotted over a long period of time, there may be seasonal factors that affect both variables, such as summer months having higher temperatures and more ice cream sales.

The graph only shows a relationship between ice cream sales and temperature, but it does not prove causation. To establish causation, a controlled experiment would need to be conducted to show that changes in temperature cause changes in ice cream sales.

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Answer:

70 dollars

Step-by-step explanation:

40% of 175 is 70

Answer:

im pretty sure she saved 70

Step-by-step explanation:

40% of 175 is 70, but im not sure if that's right. Sorry!

The blanks in each statement about the line segment should be completed as shown below.

Since we know U is the midpoint, we can say TU=8x + 11 substituting in our values for each we get:

8x + 11 = 12x - 1

Solve for x

We now want to solve for x.

−4x+11=−1

−4x = -12

x= 3

Solve for TU, UV, and TV

This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.

TU=8x+11 We know that x=3 so let’s substitute that in.

TU=8(3)+11

TU= 35

We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.

UV=12x−1 We know that x=3 so let’s substitute that in.

UV=12(3)−1

UV= 35

Based on the segment addition postulate, we have:

TU+UV=TV

35+35=TV

TV= 70

Find the detailed calculations below;

TU = UV

8x + 11 = 12x - 1

8x + 11 - 11 = 12x - 1 - 11

8x = 12x - 12

8x - 12x = 12x - 12 - 12x

-4x = -12

x = 3

By using the substitution method to substitute the value of x into the expression for TU, we have:

TU = 8x + 11

TU = 8(3) + 11

TU = 24 + 11

TU = 35

By applying the transitive property of equality, we have:

UV = TU and TU = 15, then UV = 35

By applying the segment addition postulate, we have:

TV = TU + UV

TV = 35 + 35

TV = 70

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Answer:

---------------------

The angle formed by a tangent and secant is half the difference of the intercepted arcs:

Find the measure of ∠MLJ by substituting 4 for x in the angle measure:

Answer: 3

Step-by-step explanation: (2x2 + 5x - 7) + ( 3 - 4x2 + 6x)= -8+11x=3

The probability that a 5-card straight will be drawn from a standard deck of 52 cards if the first three cards drawn are the 2 of spades, the 4 of diamonds, and the 6 of diamonds is 0.005.

A standard deck has 52 cards.

In this case, three cards are already drawn from the deck, which are the 2 of spades, the 4 of diamonds, and the 6 of diamonds. Thus, remaining number of cards=  49.

Probability of getting first card: 1/4

Probability of getting the second card from same suit= 1/13+ 1/13+ 1/12+ 1/11= 563/1716

Probability of getting the third card from same suit= 1/12+1/12+ 1/11+ 1/10= 472/ 1320

Probability of getting the fourth card from same suit= 1/11+ 1/11+ 1/10+ 1/9= 389/ 990

Probability of getting the fifth card from same suit= 1/10+ 1/10+ 1/9+ 1/8= 314/ 720

Therefore, total probability of the event that a 5-card straight will be drawn,

= (1/4)* (563/1716)* (472/ 1320)* (389/990)* (314/720)

= 0.005

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It is given that 339 calories in 3 ounce serving.

So in one ounce serving there will be:

So the unit rate is 113 calories/ounce.

Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

Mr. Adams divides 183 markers equally among the 24 students in his class, which means each student gets 7 markers. However, since 7 does not divide evenly into 183, there will be some markers left over. To determine the least number of extra markers in a box, we need to find the remainder when 183 is divided by 24.
Using long division, we get:

   24 | 183
       -----
         7  6
         -----          
This means that there are 6 markers left over that Mr. Adams puts in a box. Therefore, the least number of extra markers in a box is 6.
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

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Answer:23

Step-by-step explanation:

:)

Additive inverse of 23 will be -23

Its the opposite which is negative on the number line

Answer:

False

That is an equation as shown by the = sign.

An inequality has an inequality sign like '<' .

Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.

If the polynomial p(x) is divided by (x-1) three times and has a remainder of 1 at the end, then -1 is a double root of p(x). This means that (x+1) is a factor of p(x) raised to the power of 2.

When a polynomial is divided by (x-1), the remainder represents the value of the polynomial at x=1. Since the remainder is 1, it implies that p(1) = 1. Dividing p(x) by (x-1) three times indicates that the polynomial has been factored by (x-1) three times. Consequently, the polynomial can be written as p(x) = (x-1)^3 * q(x) + 1, where q(x) is the quotient obtained after dividing p(x) by (x-1) three times. Since the remainder is 1, it means that when x=1, p(x) leaves a remainder of 1.

Thus, (1-1)^3 * q(1) + 1 = 1, which simplifies to q(1) = 0. This implies that (x-1) is a factor of q(x), meaning that q(x) can be written as q(x) = (x-1) * r(x), where r(x) is another polynomial.

Substituting this into the earlier expression for p(x), we get p(x) = (x-1)^3 * (x-1) * r(x) + 1. Simplifying further, p(x) = (x-1)^4 * r(x) + 1. Now, we can see that p(x) is divisible by (x+1) since (x+1) is a factor of (x-1)^4, and the remainder is 1. Therefore, -1 is a double root of p(x) because (x+1) appears twice in the factored form of p(x).

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Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

No, there is no commutative property of subtraction for rational numbers. The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers.

The commutative property states that the order of the operands does not affect the result of an operation. For addition and multiplication, the commutative property holds true. However, for subtraction, the order of the operands does matter, and thus, the commutative property does not apply.

Let's consider an example to demonstrate this:

Take the rational numbers 3/4 and 1/2.

If we subtract 3/4 from 1/2, we have: 1/2 - 3/4 = (2/4) - (3/4)

= -1/4.

If we subtract 1/2 from 3/4, we have: 3/4 - 1/2 = (3/4) - (2/4)

= 1/4.

As you can see, the results are different when the order of subtraction is changed, indicating that subtraction does not follow the commutative property for rational numbers.

The commutative property, which states that the order of operands does not affect the result of an operation, does not apply to subtraction for rational numbers. Changing the order of subtraction changes the result, making subtraction non-commutative for rational numbers.

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The commutative property does not apply to the operation of subtraction with rational numbers. This is because changing the order of the numbers in a subtraction operation will give a different result.

In mathematics, the commutative property refers to the idea that the order in which numbers are used in an operation does not change the result of that operation. This property holds true for addition and multiplication but, unfortunately, it does not hold true for subtraction and division. For example, in subtraction, if we take two rational numbers such as 5 and 3, 5 - 3 is equal to 2, but 3 - 5 equals to -2. As you can see, changing the order of the numbers gives us different results, demonstrating that there is no commutative property of subtraction for rational numbers.

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Answer:aaaa

Step-by-step explanation:because

Answer:

When it is perpendicular to the ground.

Step-by-step explanation:

The expression with fewest possible terms is written as, 21t/40 - 73/4

Expression:

Basically, the mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between is known as expression

Given,

Here we have the expression:

(3/4t - 5 + 2/5t) - (5/8t + 17)

Now, we have to simplify the given expression.

in order to solve this expression we have to divide the expression into two parts like the following:

A = (3/4t - 5 + 2/5t)

B = (5/8t + 17)

First, we have to solve the A part, then we get,

=>  (3/4t - 5 + 2/5t)

In order to solve this one we have to make the denominator equal,

So, the expression is rewritten as follows:

=> (15t - 25 + 8t)/20

=> (23t - 25)/20

Now, we have to solve the part B, then we get,

=> A - B = (23t - 25)/20 - (5/8t + 17)

=> [46t - 50 - 25t - 680]/40

=> (21t - 730)/40

It can be expanded as,

=> 21t/40 - 730/40

=> 21t/40 - 73/4

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The Malthusian law for population growth states that the rate of population growth is proportional to the current population size.

Mathematically, we can express this as:

dP/dt = rP

where P is the population size, t is time, and r is the growth rate.

Assuming a constant growth rate, we can integrate this equation to get:

ln(P) = rt + C

where C is an integration constant. We can solve for C using the initial population estimate:

ln(1200) = r(1980) + C

C = ln(1200) - r(1980)

Substituting the values of C and P from the second estimate (P=7500 in 2008), we get:

ln(7500) = r(2008) + ln(1200) - r(1980)

Solving for r, we get:

r = [ln(7500) - ln(1200)] / (2008 - 1980) = 0.0496

Using this value of r, we can predict the alligator population in 2020, which is 12 years after the second estimate (2008). We have:

ln(P) = rt + ln(7500)

ln(P) = 0.0496(12) + ln(7500) = 9.058

P = e^9.058 = 8656

Therefore, the estimated alligator population in the region in the year 2020 is 8656.

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Answer:

answer is A

Step-by-step explanation:

p: shape is a triangle

q: a shape has four sides

The statement that has to be true is p v q.

Logic is a means of expression which involves the use of symbols to represent statements.

Since the shape has to be a rectangle then it follows that the statement that has to be true is p v q.

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The intermediate step in the form (x + a)² = b as a result of

completing the square for the following equation?

x² + 6x = -201 can be said to be (x + a)² = b which is (x + 3)² = -192

To calculate the intermediate step in completing the square, you need to do the following steps:

Take the original quadratic equation and isolate the squared term on one side and all other terms on the other side.

Add half of the coefficient of the x term squared to both sides to create a perfect square trinomial.

Factor the perfect square trinomial and simplify.

For example, consider the quadratic equation x^2 + 6x + 8 = 0.

Isolate the squared term on one side: x^2 + 6x = -8

Add half of the coefficient of the x term squared to both sides: x^2 + 6x + (6/2)^2 = -8 + (6/2)^2

Factor the perfect square trinomial and simplify: (x + 3)^2 = 1

Consequently, the intermediate step in completing the square for the equation x² + 6x = -201 is:

(x² + 6x + 9) = (-201 + 9)

(x + 3)² = -192

So, (x + a)² = b is (x + 3)² = -192

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No, it does not necessarily imply that any random variable X defined from S will have an infinite set of possible values.

For instance, consider a random variable X that takes values from the set of natural numbers S = {1, 2, 3, ...}. We can define X as follows: X(n) = n for any n ∈ S.

Although S is an infinite set, X can only take values in S, which is also an infinite set, but not a larger one. Therefore, X has a countable (finite or infinite) set of possible values.

In general, the set of possible values of a random variable depends on how the variable is defined and not just on the size of the sample space.

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｡☆✼★ ━━━━━━━━━━━━━━  ☾  

4 - x < 9

Subtract 4 from both sides

4 - x - 4 < 9 - 4

Now we have:

- x < 5

Divide both sides by -1

x < -5

When you divide an inequality by -1, the sign flips

Thus, your answer would be:

x > -5

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The exponential function that models the fox population is P(t) = 12600 * 1.07^t and and the estimated fox population in 2008 is 21649

(a) Let P(t) be the fox population t years after 2000. The continuous growth rate of the population is 7% per year, which means that the population at time t is 1.07 times the population at time t-1. Since the population in the year 2000 was 12600, we have:

P(0) = 12600

P(t) = 1.07 * P(t-1)

Substituting P(t-1) in terms of P(t-2), we get:

P(t) = 1.07 * 1.07 * P(t-2)

Substituting recursively, we get:

P(t) = 1.07^t * P(0)

Substituting P(0) = 12600, we get:

P(t) = 12600 * 1.07^t

Therefore, the exponential function that models the population t years after 2000 is:

P(t) = 12600 * 1.07^t

(b) To estimate the fox population in the year 2008, we need to substitute t = 8 in the function we obtained in part (a):

P(8) = 12600 * 1.07^8

Using a calculator, we get:

P(8) ≈ 21649

Therefore, the estimated fox population in the year 2008 is 21649 (rounded to the nearest integer).

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Answer:

Linda makes 3 more cards than Paul.

Step-by-step explanation:

Let's express the affirmations into equations:

Paul (P) can make 1 card for every 3 cards Linda (L) makes:

\(  \frac{P}{L} = \frac{1}{3} \)

\( 3P = 1L \)            (1)

Linda can make 3 cards for every 2 cards that Aaron (A) makes:

\( \frac{L}{A} = \frac{3}{2} \)  

\( 2L = 3A \)          (2)        

During a week, Aaron makes 72 cards, hence the number of cards of Linda and Paul can be calculated as follows:

From equation (2):

\( L = \frac{3}{2}A = \frac{3}{2}72 = 108 \)

Now, from equation (1):

\( P = \frac{1}{3}L = \frac{1}{3}108 = 36 \)

Finally, the number of cards that Linda makes more than Paul is:

\( \frac{L}{P} = \frac{108}{36} = 3 \)

Therefore, Linda makes 3 more cards than Paul.

I hope it helps you!    

Number of more cards Linda made than Paul for the week is; she made 72 more cards than Paul for the week.

We are told that;

Paul can make 1 card for every 3 cards Linda makes. Let number of card Paul makes be p and let number of cards Linda makes be L. Thus, we have;

p/l = 1/3

Thus;

l = 3p

Linda can make 3 cards for every 2 cards that Aaron makes. If number of cards that Aaron makes is a, then;

l/a = 3/2

l = 3a/2

Now, we are told that Aaron made 72 cards in a week. Thus, a = 72 and so we have;

l = (3 × 72)/2

l = 108 cards for the week

Since l = 3p, then;

p = l/3

p = 108/3

p = 36 cards for the week.

Thus;

Difference between number of Linda's cards and Paul's cards = 108 - 36 = 72

Thus,linda made 72 more cards than Paul for the week.

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Nitrosyl chloride (NOCl) decomposes at elevated temperatures according to the equation: 2 NOCl(g) -> 2 NO(g) + Cl2(g)

In this decomposition reaction, one molecule of nitrosyl chloride breaks down into two molecules of nitric oxide gas (NO) and one molecule of chlorine gas (Cl2).

This reaction is an example of a decomposition reaction, where a single compound breaks down into multiple products. Nitrosyl chloride is thermally unstable and decomposes at elevated temperatures, releasing nitric oxide and chlorine gas. The decomposition is initiated by the heat energy supplied to the system, which provides the activation energy necessary for the reaction to occur.

The decomposition of nitrosyl chloride into nitric oxide and chlorine gas is an important chemical process. It is used in various industrial applications, such as in the production of nitric acid and in the preparation of chlorine gas. Understanding the reaction allows scientists and engineers to control and optimize these processes for efficient and safe production.

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Answer:

A = 1/2 × b × h

Step-by-step explanation:

Answer:

  3.56 kg

Step-by-step explanation:

You want the mass of a model that is 45 cm tall and has a density of 1200 kg/m³ when the statue it is modeling is 270 cm tall, has a density of 2500 kg/m³, and a mass of 1600 kg.

The ratio of volumes of the model to the statue is the cube of the ratio of their heights:

  Vm/Vs = (Hm/Hs)³

  Vm = Vs(Hm/Hs)³ = (1600 kg)/(2500 kg/m³)·((45 cm)/(270 cm))³

  Vm ≈ 0.002963 m³

The mass of the model is the product of its volume and its density:

  Mm = Vm·ρ = (0.002963 m³)(1200 kg/m³) ≈ 3.56 kg

The mass of Justin's model is about 3.56 kg.

__

Additional comment

The relationship between density, volume, and mass is ...

  ρ = mass/volume

This can be rearranged to ...

  volume = mass/ρ

Which is the expression we used for Vs in the first section above.

(We used V and H for volume and height with 'm' and 's' signifying the model and the statue, respectively.)

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The mass of Justin's model is approximately 3.57 kg., rounded to 3 significant figures.

To find the mass of Justin's model, we can use the concept of mathematical similarity.

Mathematical similarity means that corresponding dimensions of two objects are proportional. In this case, Since the densities are also given, we can use the volume ratio to find the mass ratio.

Let's calculate the volume ratio first:

Volume ratio = (Height of model / Height of statue)^3

            = (45 cm / 270 cm)^3

            = (0.1667)^3

            = 0.00463

Now, using the density ratio:

Density ratio = Density of model / Density of statue

            = 1200 kg/m³ / 2500 kg/m³

            = 0.48

Finally, we can find the mass of Justin's model by multiplying the mass of the statue by the volume ratio and density ratio:

Mass of Justin's model = Mass of statue * Volume ratio * Density ratio

                     = 1600 kg * 0.00463 * 0.48

                     = 3.5712 kg

Rounding to 3 significant figures, the mass of Justin's model is approximately 3.57 kg.

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