Some psychologist believe that a genius should be defined as anyone having an IQ over 140. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 and if the population of the world is 6,575,000,000 how many geniuses are there in the world today

There are approximately 8.36 × \(10^25\) water molecules in 2.5 million liters of water.

To find the number of moles of water in 2.5 million liters, we need to convert the volume to grams and then to moles using the given density and molecular mass.

Given:

Volume of water = 2.5 million liters

Density of water = 1 g/mL

Molecular mass of water = 18 g/mol

First, let's convert the volume from liters to grams using the density of water:

2.5 million liters * 1 g/mL = 2.5 million grams

Next, we can convert grams to moles using the molecular mass of water:

2.5 million grams / 18 g/mol ≈ 138,889 moles

Therefore, there are approximately 138,889 moles of water in 2.5 million liters.

To find the number of water molecules, we can use Avogadro's number, which states that there are approximately 6.022 × \(10^23\) molecules in one mole of a substance.

Number of water molecules = Number of moles * Avogadro's number

Number of water molecules ≈ 138,889 moles * 6.022 × 10^23 molecules/mole

Calculating this, we get:

Number of water molecules ≈ 8.36 ×\(10^25\) molecules

Therefore, there are approximately 8.36 × \(10^25\)water molecules in 2.5 million liters of water.

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An Olympic-sized swimming pool holds 2.5 million liters of water. How many moles of water is this? How many water molecules? Some potentially useful facts: 2.5 million = 2.5×\(10^6\).

The density of water is 1 g/mL. The molecular mass of water is 18 g/mol.

The step 1 will process with beginning, mapping, and optimising. The step 2 will includes matrices calculation, creating control chart and analysis.

The steps to be followed for step 1 are as follows-

Begin with value identification which is the creation of word document. Map the value stream to remove redundant activites followed by waste elimination. Then work on to improve the efficiency by using templates, headers, using keyboard shortcuts and enabling autosave.

To proceed to step 2 and check if the process could benefit from other tools, consider these three actions: 1. Calculating the metrices that includes variation and process capability. 2. Formulate the control chart for process. 3. Analyse the metrices and control chart via the SPC method.

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The value of x where both curve and line intersect with each others are -0.44 and 1.69

Using the linear-quadratic system, both curve and line are intersecting in 2 points where:

f(x) = g(x)

8x2 - 13x + 8 = 14 - 3x

8x2 - 10x - 6 = 0

We will use the ABC theorem, where:

x = -b ± √(b2 - 4ac)

               2a

x = - (-10) ± √((10)2 - 4(8)(-6))

                  2(8)

x = 10 ± √(100 + 192)

             16

x = 10 ± 2√73

           16

x1 = 10 - 2√73  = -0.44

           16

x2 = 10 + 2√73 = 1.69

             16

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According to Pythagorean theorem

a² = b² + c² where a is hypotenuse , b and c are legs of the right triangle

5² = 4² + x²

25 = 16 + x²

25 - 16 = x²

9 = x²

√9 = √x²

3 = x

so the other leg is equal to 3

Hope it helps

Answer:

According to Pythagorean theorem

a² = b² + c² where a is hypotenuse , b and c are legs of the right triangle

5² = 4² + x²

25 = 16 + x²

25 - 16 = x²

9 = x²

√9 = √x²

3 = x

so the other leg is equal to 3

Step-by-step explanation:

Answer: 32/9, or 3 5/9

Step-by-step explanation:

1. convert the mixed number to an improper fraction. It would turn into 16/9 x 2

2. Calculate the product : 32/9

3. Use division to get a mixed number: 3 5/9.

If to renew the policy the insurance company charges an extra 40% to her premium rate: b. Even with the extra charge for renewal, Eva’s plan is the least expensive.

Premium rate can be defined as the additional money a person pay  instalmentally for an insurance policy.

Based on the given scenario Eva plan is the least expensive plan due to the fact that despite the  insurance company  charge her  the   additional 40% to her premium rate before they can renew her insurance policy,  her plan will be the  least expensive plan which inturn means that she can often renew the plan because it will cost her less.

Therefore If to renew the policy the insurance company charges an extra 40% to her premium rate: b. Even with the extra charge for renewal, Eva’s plan is the least expensive.

The missing option are:

a.Eva would have been better off selecting the 20-year term policy.

b.Even with the extra charge for renewal, Eva’s plan is the least expensive.

c.Given that Eva plans to renew, she should have selected the whole life policy.

d.Eva ends up paying the same amount for each policy.

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Answer: B

Step-by-step explanation:

In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.

The 4 independent variables are represented by the four numbers in the experimental design

(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).

The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.

A factorial experiment includes multiple factors simultaneously, each consisting of two or more

levels. Many factors simultaneously influence what is studied in a factorial experiment, and

experimenters consider the main effects and interactions between factors.

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Answer:

With the rise of temperature in the Fahrenheit scale, the temperature on the Celsius scale also rises.

Step-by-step explanation:

Fahrenheit and Celsius vary directly. With the rise of temperature in the Fahrenheit scale, the temperature on the Celsius scale also rises.

The formula for converting Celsius to Fahrenheit is given by

\(\sf F = C*\dfrac{9}{5}+32\)

Answer:

$3.25

Step-by-step explanation:

An item is regularly priced at $65. Abdul bought it at a discount of 95% off the regular price. Use the ALEKS calculator to find how much Abdul paid.​

Original price of item = $65

percent discount = 95%

discount price = 95% * 65

discount price = 0.95 * 65

discount price= $61.75

Amount abdul paid = Original price - discounted price

Amount abdul paid = $65 - $61.75

Amount abdul paid = $3.25

Hence abdul paid $3.25

Answer:

This statement is true for all real numbers and is known as the Commutative Property. It not only applies to multiplication, but to addition as well: a + b = b + a

The other case you mentioned a(b*c) = ab*ac is false.

Step-by-step explanation:

The correct answer exists

A- translation of 4 units up

B - verticals stretch with a scale factor of 2

C - vertical compression with a scale factor if 1/2.

A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.

A transformation is a method for changing the two-dimensional position of a polygon or other object on a plane or coordinate system. Two-dimensional figures can move across a plane or coordinate system via mathematical transformations. The shape in two dimensions before any alteration is known as a preimage or inverse image.

Translation, rotation, reflection, and dilation are the four basic forms of transformations. A rotation about any point, a reflection over any line, and a translation along any vector are all possible according to the description of the transformation. These are rigid transformations in which the image is identical to its starting point.

Therefore, the correct answer exists

A- translation of 4 units up

B - verticals stretch with a scale factor of 2

C - vertical compression with a scale factor if 1/2.

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The area of the region included between the parabolas

The two parabolas intersect at the points (-p-1, 0) and (p+1, 0).

We can find the y-coordinates of these points by plugging in x=-p-1 and x=p+1 into the equations of the parabolas:

\(y^2\) = 4(p + 1)(x + p + 1)

At x = -p-1: \(y^2\) = 4(p+1)(-2) = -8(p+1)

So y = ±√(-8(p+1)) = ±2i√(2(p+1))

\(y^2\) = 4(\(p^2\) + 1)(\(p^2\) + 1 - x)

At x = p+1: \(y^2\) = 4(\(p^2\)+1)(0) = 0

So y = 0

Thus, the two parabolas intersect at the points (-p-1, ±2i√(2(p+1))) and (p+1, 0).

The area between the parabolas is symmetric about the y-axis, so we can just find the area of the region in the first quadrant and double it.

The equation of the upper parabola can be rewritten as y = 2i√(p+1)(x+p+1) and the equation of the lower parabola can be rewritten as y = 2√(\(p^2\)+1)(p+1-x). Setting these equal and solving for x, we get:

2i√(p+1)(x+p+1) = 2√(\(p^2\)+1)(p+1-x)

x = -p-1 + 2i(p+1)/(2+2i(\(p^2\)+1)/(p+1))

x = -p-1 + 2i(p+1)(p+1)/(\(p^2\)+1+2ip(p+1))

We want to find the real part of this complex number, which is the x-coordinate of the point of intersection in the first quadrant.

The real part of a complex number a+bi is just a, so the x-coordinate is:

Re[-p-1 + 2i(p+1)(p+1)/(\(p^2\)+1+2ip(p+1))]

= -p-1 + 2(p+1)(\(p^2\)+1)/(\(p^2\)+1+2p(p+1))

= -p-1 + 2(\(p^3\)+2p+1)/(\(p^2\)+2p+1)

= -p-1 + 2(\(p^2\)+1)

= 2p+1

Therefore, the area of the region in the first quadrant is given by:

A = ∫[0,2p+1] (2√(\(p^2\)+1)(p+1-x) - 2i√(p+1)(x+p+1)) dx

Simplifying this integral and taking the absolute value (since we're interested in area), we get:

= 2√(\(p^2\)+1) ∫[1,p+2] √(u) du, where u = p+1-x

= 2√(\(p^2\)+1) (2/3)(p+2)(3/2)

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In order to justify their position candidate make assumption that the price effect would be larger than the quantity effect.

What is Price?

The amount of money required to obtain a certain thing is referred to as its price. Price is a measure of value in the sense that the amount people are willing to pay for a commodity signifies its value.

Concept:

Candidate A claims that raising the sales tax from 5% to 7% will enhance revenue. This suggests that the price effect is greater than the quantity effect because when taxes rise, prices rise and quantities fall; hence, tax revenue will rise only if the price effect is more than the quantity effect.

And Candidate B claims that the tax would harm merchants and customers, slow the economy, and reduce tax revenue, but only if the quantity effect outweighed the price effect.

As a result, Candidate A believes that the price effect will be greater than the quantity effect.

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Answer:

y = 15x^3 + 16x^2 - 55x + 24

Step-by-step explanation:

y = (3x +8)(5x - 3)(x - 1)

y = (15x^2 - 9x + 40x -24) * (x - 1)

y = (15x^2 + 31x - 24) * (x-1)

y = 15x^3 - 15x^2 + 31x^2 - 31x - 24x + 24

The x-intercepts of a graph are the points where the graph crosses the x-axis.

The x-intercepts are: \(\mathbf{x = ,-\frac83, \frac 35\ and\ 1}\)

The function is given as:

\(\mathbf{y = (3x + 8)(5x - 3)(x - 1)}\)

First, we plot the graph of \(\mathbf{y = (3x + 8)(5x - 3)(x - 1)}\)

See attachment for the graph

Next, write out the x-values when the graph crosses the x-axis.

From the graph, we have:

\(\mathbf{x = -\frac 83}\)

\(\mathbf{x = \frac 35}\)

\(\mathbf{x = 1}\)

Hence, the x-intercepts are: \(\mathbf{x = ,-\frac83, \frac 35\ and\ 1}\)

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Answer: x=8in.

Step-by-step explanation: Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.

Answer:

x = 3

Step-by-step explanation:

there are 4 right triangles inside the quadrilateral

area of 4 triangles

= 4 × \(\frac{1}{2}\) bh ( b is the base and h the height )

= 4 × \(\frac{1}{2}\) × 8 × x

= 2 × 8x

= 16x , then

16x = 48 ( divide both sides by 16 )

x = 3

The answer of the given question based on the Newton's law is , the scenario demonstrates Newton's third law of motion.

Newton's laws of motion are set of fundamental principles that describe  behavior of a objects in motion. They were formulated by Sir Isaac Newton in the 17th century and are considered to be the foundation of classical mechanics. It consists of three laws of motion they are , Newton's First Law of Motion , Newton's Second Law of Motion , Newton's Third Law of Motion. These laws explain how objects move and interact with one another, and they have numerous applications in physics, engineering, and other fields.

The scenario given describes Newton's third law of motion, which states that for every action, there is an equal and opposite reaction.

In this case, the action is the force exerted by the car on the wall, and the reaction is the force exerted by the wall on the car. According to Newton's third law, these forces are equal in magnitude but opposite in direction, which means that the car and the wall exert the same amount of force on each other in opposite directions.

Therefore, the scenario demonstrates Newton's third law of motion.

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Rounding to the nearest thousandth, the margin of error for this survey, expressed as a proportion, is approximately 0.020.

To calculate the margin of error for a survey, we can use the formula:

Margin of Error = Z × √((p × (1-p)) / n)

Where:

Z represents the z-score corresponding to the desired confidence level,

p represents the proportion of respondents who preferred candidate A,

n represents the sample size.

The sample size (n) is 1900, and the proportion of respondents who preferred candidate A is 1520/1900.

p = 1520/1900

≈ 0.8

We need to find the z-score corresponding to a 95% confidence level. For a 95% confidence level, the z-score is approximately 1.96.

Substituting the values into the formula:

Margin of Error = 1.96 × √((0.8 × (1-0.8)) / 1900)

Calculating the expression inside the square root:

(0.8 × (1-0.8)) ≈ 0.16

Margin of Error = 1.96 × √(0.16 / 1900)

Calculating the square root:

√(0.16 / 1900) ≈ 0.01016

Margin of Error = 1.96 × 0.01016

≈ 0.0199

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A system of equations can be used to determine whether the paths of the boats cross include the following:

A. y = -1/9(x - 1)² + 10.

    y = 1/8x² - 7

Based on the information provided about the first boat, the x-coordinate of the vertex can be determined as follows;

x = -b/2a

1 = -b/2a

b = -2a

Additionally, the standard form of the equation of a parabola (quadratic function) is given by;

y = a(x - h)² + k.

y = ax² - 2ax + c.

Therefore, the y-coordinate of the vertex is given by:

y = ax² - 2ax + c

10 = a(1)² - 2a(1) + c  

c - a = 10   .......equation 1.

Since the parabola passes through the point (-8, 1), we have:

y = ax² - 2ax + c

1 = a(-8)² - 2a(-8) + c  

80a + c = 1     .......equation 1.

Solving equations 1 and 2 simultaneously, we have:

81a = -9

a = -9/81 = -1/9

b = -2a = -2(-1/9) = 2/9

c = 10 + a = 10 - 1/9 = 89/9

Rewriting the equation for the first boat, we have:

y = -1/9x² + 2/9x + 89/9

y = -1/9(x - 1)² + 10.

For the second boat, the x-coordinate of the vertex can be determined as follows:

y = ax² + bx + c

x = -b/2a

0 = -b/2a

b = 0

Additionally, the y-coordinate of the vertex is given by:

y = ax² + c

-7 = a(0)² + c  

c = -7

Since the parabola passes through the point (-8, 1), we have:

y = ax² + c

1 = a(-8)² - 7

a = -1/8

b = 0

c = -7

Rewriting the equation for the second boat, we have:

y = ax² + c

y = 1/8x² - 7

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Answer: A

Step-by-step explanation:

edge 2023

We want to find the value of w, so the following equation is true:

Since both sides of the equation are equal, we must do the same on both sides, so they keep equal.

We want to leave w in only one side of the equation.

Then we want to bring 9 of the division to the left side so w can be alone in the right sides.

In order to do so we multiply both sides by 9:

Then, we have that:

Answer: w = 6

Answer:

an architect used the same floor plans in different locations and orientations to complete the layout of a housing complex.

Step-by-step explanation:

uwu

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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Answer:

If a shirt is on sale for 50% off, and you have another offer that gives you an "additional 20% off the sale price", does that mean you get a total of 70% off? Not usually. If the shirt was $20, then the SALE price would be $10 and the additional 20% would apply to the SALE price of $10 instead of the original price of $20. This isn't too bad when the sales are nice even percentages, but when it gets more complicated, you can use this calculator to find out the final cost (sales tax not included).Step-by-step explanation:

The mean (average) number of customers who bought plain bagels at the bakery each day for one week is 10 (Option C).

The mean of the customer counts for plain bagels at Michelle's bakery can be calculated by adding up all the counts and then dividing by the number of days.

So, 15+7+6+9+10+12+11 = 70.

And, since there are 7 days in a week, we divide 70 by 7 to get the mean which is 10.

Therefore, the answer is C.

The mean number of customers who bought plain bagels at Michelle's bakery each day for one week is 10. This information can be useful for Michelle to determine how much inventory she needs to have on hand to meet the demand for plain bagels and to plan her staffing needs accordingly to provide quality service to her customers.

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The measure of angle A remains as (4x + 20) degrees until we have more information or the specific value of x.

The measure of angle A is given by the expression (4x + 20) degrees. To find the specific measure of angle A, we need to determine the value of x or be provided with additional information.

The given information provides the measure of angle D as (5x - 65) degrees, but it does not directly give us the measure of angle A.

Without knowing the value of x or having any additional information, we cannot determine the specific measure of angle A.

The expression (4x + 20) represents the general form of the measure of angle A, but we need more information or the value of x to evaluate it.

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Answer:

14

Step-by-step explanation:

or 16

Answer:

15

have a good day :)

Step-by-step explanation:

Answer:

sorry i dont know

Step-by-step explanation:

Answer:

243

Step-by-step explanation: