What’s 4 1/3 as improper fraction

Never. Correlation coefficients are used to measure the strength of a linear relationship between two variables, not to prove cause and effect. To determine causation, it is necessary to conduct an experiment or study in which the independent variable is manipulated and the dependent variable is measured.

Correlation coefficients are used to measure the strength of a linear relationship between two variables. They can measure the degree to which variables move together, but they cannot be used to prove cause and effect. To determine causation, it is necessary to perform an experiment or study in which one variable is manipulated and the other is measured. This allows researchers to control for confounding variables and to determine if the manipulation of the independent variable had a direct effect on the dependent variable. Therefore, correlation coefficients cannot be used to support a claim of cause and effect.

Learn more about correlation here

https://brainly.com/question/28898177

#SPJ4

According to the concept of unit conversion, 57 feet is equal to 1737.36 centimeters.

Unit conversion is an essential skill to have in science, engineering, and everyday life. It allows us to convert between different units of measurement and compare them easily.

To convert 57 feet to centimeters, we need to know the conversion factor between these two units. One foot is equal to 30.48 centimeters. So, we can multiply the given number of feet by this conversion factor to get the equivalent number of centimeters.

57 feet x 30.48 cm/ft = 1737.36 cm

In unit conversion, it is important to keep track of the units and make sure they cancel out correctly. In this case, the feet unit cancels out with the feet unit in the conversion factor, leaving us with only the centimeter unit.

To know more about unit conversion here.

https://brainly.com/question/19420601

#SPJ4

Answer:

26 Students

Step-by-step explanation:

4% is also 0.04 multiplied by the number of students. 650 * 0.04 = 26

Answer: 3:20

Step-by-step explanation:

Answer:  She will be finished by 3:20.

Step-by-step explanation: The time at which she started = 1:40

Adding 1 hour 40 minutes to the given time = 1:40 + 1:00 = 2:40

Adding 20 minutes to it, time becomes = 3:00

Adding 20 more minutes (20+20 =40), final time = 3:20.

Internal Links: https://brainly.com/app/ask?q=Naylar+spent+1+hour+and+40+minutes+listening+to+music+on+her+headphones.+If+she+started+at+1%3A40%2C+what+time+was+it+when+she+finished%3F&skip=30769089&source=answer-box

In existence, there is the 1 dollar, 5, 10, 20, 50, and 100. The only way he could take out two different dollar bills and it be worth less than 10 bucks is if he pulls out a 1 and a 5. In these odds, it would be 2 / 12 chance of pulling out two dollar bills and it being worth less than 10 bucks.

These roots are also complex conjugates, so the step response will be oscillatory with a decay factor. The response will look like a damped sinusoid. the value of s1 and s2 is 25i and -25j.

Here are the solutions for the given transfer functions and the corresponding step response plots:

G(s) =[tex]400 / (s^2 + 12s + 400)[/tex]

First, let's find the roots of the denominator:

[tex]s^2 + 12s + 400 = 0[/tex]

Using the quadratic formula, we get:

s1 = -6 + 14.96j

s2 = -6 - 14.96j

These roots are complex conjugates, so the step response will be oscillatory with a decay factor. The response will look like a damped sinusoid.

G(s) =[tex]900 / (s^2 + 90s + 900)[/tex]

The denominator can be factored as [tex](s + 45)^2[/tex]. Therefore, the roots are:

s1 = s2 = -45

Since both roots are negative and equal, the response will be critically damped.

G(s) = [tex]225 / (s^2 + 30s + 225)[/tex]

The denominator can be factored as[tex](s + 15)^2[/tex]. Therefore, the roots are:

s1 = s2 = -15

Again, since both roots are negative and equal, the response will be critically damped.

G(s) = [tex]625 / (s^2 + 625)[/tex]

The denominator can be factored as (s + 25j)(s - 25j). Therefore, the roots are:

s1 = 25j

s2 = -25j

Note: The step response plots can be sketched by considering the damping ratio and natural frequency of each transfer function. For critically damped systems, the response reaches steady-state the fastest, but it also overshoots the most.

To learn more about Complex conjugates :

https://brainly.com/question/17203594

#SPJ4

20h⁵ - 35h⁴ is the simplified and dispersed expression.

What does math's distribution mean?

Something is divided, shared, or given away when it is "distributed." What does this mean for the distributive property of mathematics? Basic arithmetic operations like addition and subtraction are used to divide the results of multiplication according to the distributive property of the law of multiplication.

We may utilize the distributive property of multiplication, which asserts that a(b + c) = ab + ac, to distribute and simplify 5h³(4h² - 7h).

The 5h³ is first distributed to both words inside of the parenthesis as follows:

5h³(4h² - 7h) is equal to 5h³ * 4h² - 5h³ * 7h.

Secondly, by multiplying the coefficients and adding the exponents, we simplify each term:

20:5 + 5:3 + 4:2 + 5:3 + 7:4 = 35:4

When we add everything together, we get the following: 5h³(4h² - 7h) = 20h⁵- 35h⁴.

Hence, 20h⁵ - 35h⁴ is the simplified and dispersed expression.

To know more about distribution visit:

https://brainly.com/question/23418254

#SPJ1

Answer:

$4

Step-by-step explanation:

The outcome of removing (2x-3)2 from 5x2 is therefore x2 + 12x - 9.

Therefore, it can be expressed as Minuend Subtrahend = Differential. As a result, the number being removed is known as Barely heard, and the number being deducted is known as Minuend. As a result, the amount that is being removed from is known as the minuend, and the number being deducted from is known as the subtrahend.

To answer this question, we need to expand (2x-3)² and then subtract it from 5x².

(2x-3)² means (2x-3) multiplied by itself:

(2x-3)² = (2x-3) × (2x-3)

The first term in the first parentheses can be multiplied by both terms in the second parentheses using the distributive property, and the second term in the first parentheses can be multiplied by both terms in the second parentheses using the distributive property:

(2x-3) × (2x-3) = 2x × (2x-3) - 3 × (2x-3)

Simplifying each of the two terms:

= 4x² - 6x - 6x + 9

= 4x² - 12x + 9

Now we can subtract this expression from 5x²:

5x² - (4x² - 12x + 9)

Distributing the negative sign:

5x² - 4x² + 12x - 9

Combining like terms:

x² + 12x - 9

Therefore, the result of subtracting (2x-3)² from 5x² is x² + 12x - 9.

To know more about Subtract visit:

https://brainly.com/question/28467694

#SPJ1

a. Line A represents Duncan's wages. b. We can determine this by equation of the line. Luke's equation of line has an additional constant and thus it starts from the point 30 above from the origin.

In mathematics, a variable is a symbol that designates a mathematical object (from the Latin variabilis, "changeable"). Any number, vector, matrix, function, function argument, set, or set element can be represented by a variable.

A variety of issues are resolved by algebraic calculations that treat variables like explicit integers in a single computation. The quadratic formula, for instance, can be used to solve any quadratic equation by exchanging the variables in the quadratic formula for the numerical values of the coefficients in the equation.

Let us suppose number of hours worked = x.

Given that,

Duncan gets paid R8,50 per hour. His equation of line is:

D = 850x

Luke gets R30 and R450 per hour. His equation of line is:

L = 450x + 30

a. From the graph we see that line A represents Duncan's wages.

b. We can determine this by looking at the equation of the line. Luke's equation of line has an additional constant and thus it starts from the point 30 above from the origin.

c. For x = 2 hours.

L = 450(2) + 30

L = 900 + 30 = R930

d. For D = 1000:

1000 = 850x

x = 1.17 hours.

Learn more about equation of line here:

https://brainly.com/question/21511618

#SPJ1

Answer:

i have no clue whats going on sorry i cant help

Step-by-step explanation:

The rate of $18 an hour will be approximately  $157248  for a year .

In order to find how much $18 an hour is in a year,

We need to know how many hours are present in a year.

The number of weeks in 1 year is = 52 weeks ;

and 1 week consists of 168 hours , as 1 week has 7 days and 1 day has 24 hours .

So , 1 year (52 weeks) is = 52 × 168 = 8736 hours .

We get that 1 year consists of 8736 hours ,

Now , multiplying the number of hours by $18 ,

We get ,

⇒ 8736 × 18 = $157248 .

Therefore , $18 an hour will be $157248 for a year .

Learn more about Hours here

https://brainly.com/question/30218624

#SPJ4

For the given graph we have:

Domain [-4, 7]

Range [-5, 7]

For a function y = f(x) we define the domain as the set of the inputs and the range as the set of the outputs.

To identify the domain on a graph we need to see the horizontal axis, here we can see that the graph starts at x = -4 and ends at x = 7, then the domain is [-4, 7]

For the rangewe need to look at the vertical axis, here we can see that it starts at y = -5 and ends at y = 7

Then the range is [-5, 7]

Learn more about domain and range:

https://brainly.com/question/10197594

#SPJ1

The equation of the ellipse is equal to (x - 6)² / 49 + (y + 6)² / 36 = 1.

In this problem we must derive the equation of an ellipse based on information about the center, a vertex and a co-vertex thereof. The vertex represents the end of the major semiaxis that lies on the curve and co-vertex is the end of the minor semiaxis that lies on the curve. The major semiaxis is parallel with x-axis and the minor semiaxis is parallel with y-axis.

The standard form of the ellipse is shown below:

(x - h)² / a² + (y - k)² / b² = 1

Where:

Now we proceed to derive the equation of the ellipse:

Major semiaxis:

A = (13, - 6) - (6, - 6)

A = (7, 0)

a = 7

Minor semiaxis:

B = (6, 0) - (6, - 6)

B = (0, 6)

b = 6

Equation of the elipse:

(x - 6)² / 49 + (y + 6)² / 36 = 1

To learn more on ellipses: https://brainly.com/question/20393030

#SPJ1

Ms. Howard's salary would be $360. Below, you will learn how to solve the problem.

Ms. Howard's salary can be found by first calculating the amount of money spent on groceries, entertainment, and transportation. 1/3 of her monthly salary was spent on groceries, so that would be $(1/3)x where x is her salary, 1/4 of her monthly salary was spent on entertainment, so that would be $(1/4)x. 2/5 of the remaining amount was spent on transportation, which is $(2/5)(x-(1/3)x-(1/4)x).

Ms. Howard then had $270 left, so we can set up the equation:

$(1/3)x + $(1/4)x + $(2/5)(x-(1/3)x-(1/4)x) = 270

Solving for x, Ms. Howard's salary would be $360.

For more information about equation, visit:

https://brainly.com/question/22688504

#SPJ11

No, the probability that a continuous random variable equals a certain value is zero does not imply that the probability of finding even or odd values is also zero.

The reason for this is that even and odd values are not specific points in the continuous probability distribution, but rather sets of points. For example, if we consider a uniform distribution over the interval [0, 1], the probability of any particular point in the interval is zero, including both even and odd values. However, the probability of finding an even value in the interval is 1/2, since half of the values in the interval are even. Similarly, the probability of finding an odd value is also 1/2. Therefore, the fact that the probability of a continuous random variable taking a certain value is zero does not imply anything about the probability of finding even or odd values.

Find out more about probability

brainly.com/question/15728622

#SPJ4

answer:

answer:1/8

answer:1/8explanation :

answer:1/8explanation :0.125 as a fraction in simplest form is 1/8

answer:1/8explanation :0.125 as a fraction in simplest form is 1/8Step 2: Find the HCF or the highest common factor of 125 and 1000.

answer:1/8explanation :0.125 as a fraction in simplest form is 1/8Step 2: Find the HCF or the highest common factor of 125 and 1000.hope this helped.

The probability of drawing a ticket with value 2 when the first ticket drawn is 5 is 2/7.

The tree diagram makes it easier to arrange and see all of the potential possibilities. The tree's branches and ends are its two primary locations. On each branch is written the probability, and the ends hold the results in the end. To determine when to multiply and when to add, use tree diagrams.

Let A be an event: the first ticket extracted was the 5.

Let B be an event: the second ticket is 2.

The probability for the following is given as:

P (B/ A) = 2/7

Hence. the probability of drawing a ticket with value 2 when the first ticket drawn is 5 is 2/7.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

The most precise term for quadrilateral ABCD with vertices A(4, 4), B(5, 8), C(8, 8) is a kite.

Option C is the correct answer.

A kite is a quadrilateral where the adjacent sides are equal which means there are two pairs of equal sides.

We have,

Quadrilateral ABCD:

A = (4, 4)

B = (5, 8)

C = (8, 8)

D = (8, 5)

Now,

A__________B

|                      |

|                      |
|                      |

D_________ C

We see the distance between the two points.

AB = √(8 - 4)² + (5 - 4)² = √(4² + 1) = √17

AD = √(5 - 4)² + (8 - 4)² = √(1² + 4²) = √17

AB = AD

BC = √(8 - 8)² + (8 - 5)² = √9 = 3

CD = √(5 - 8)² + (8 - 8)² = √9 = 3

BC = CD

AB and AC are adjacent sides.

CD and DB are adjacent sides.

So,

The quadrilateral ABCD is a kite.

Thus,

The quadrilateral ABCD is a kite.

Learn more about kite here:

https://brainly.com/question/17306509

#SPJ1

The set of equation that models the point of intersection of the arrow

and the target is the option; y = -0.004·x² + 0.25·x + 8 and y = 0.22·x

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix. Parabola is an integral part of conic section topic and all its concepts parabola are covered here.

here, we have,

The given parameters are;

Point of intersection of the line and the parabola is the point (48.63, 10.7)

Therefore, the point (48.63, 10.7) satisfies both the equation of the

parabola and the equation of the line, which by plugging in the value x =

48.67 in the different parabolas, we have;

The first set;

y = -0.004 × 48.67² + 0.25 × 48.67 + 8 ≈ 10.7, which corresponds with the ordered pair.

The linear function in the first set should be excluded, given y ≠ x in the

ordered pair.

In third set,

y = -0.004 × 48.67² + 0.25 × 48.67 + 8 ≈ 10.7,

while, from the ordered pair, we have;

y = C·x

10.7 = 48.63·x

Therefore;

y ≈ 0.22·x

The set of equations that best models the point of intersection of the arrow and target are therefore;

y = -0.004·x² + 0.25·x + 8 and y = 0.22·x

Learn more about the equation of a parabola here:

brainly.com/question/4294167

#SPJ1

The inequalities represented on the graph is x ≥ -2.

In mathematics, an inequality is a mathematical expression where neither side is equal. Inequality in mathematics is defined as a comparison between two expressions or two numbers that is not equal. In mathematics, there are several varieties of inequality, including polynomial inequality, rational inequality, and absolute value inequality.

Given that,

Number line showing range from negative five to five. The left end point is a closed dot at negative two, with a ray pointing right past five.

From the above we observe that point on negative 2 is a closed dot hence the inequality would be ≥ or ≤.

Now, the ray point past five, that is it moves in positive direction.

Hence, the inequalities represented on the graph is x ≥ -2.

Learn more about graph of inequality here:

https://brainly.com/question/30228778

#SPJ1

The rule for the graph of g is g(x) = -4(x^2-3). This graph is a vertical stretch by a factor of 4 and a reflection in the x-axis of the graph of f(x) = x^2-3.

The angle that the pilot should turn in order to fly directly to the airport is given as follows:

x = 28.2º.

The three trigonometric ratios are defined as follows:

For the angle x, we have that:

Hence the angle is obtained applying the tangent as follows:

tan(x) = 105/196

x = arctan(105/196)

x = 28.2º.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

Answer:

The slope of the dotted line is -1. The slope of the solid line is 4.

Answer:

371.5 square units.

Step-by-step explanation:

the shaded region is a ring-shaped region between the two concentric circles, we can find the area of the shaded region as follows:

The area of the large circle is given by:

Area of large circle = π × r^2

where r is the radius of the large circle, which is 13.5.

Area of large circle = 22/7× (13.5)^2

Area of large circle ≈ 572.78

The area of the small circle is given by:

Area of small circle = π × r^2

where r is the radius of the small circle, which is 8.

Area of small circle = 22/7× (8)^2

Area of small circle ≈ 201.14

The area of the shaded region is the difference between the area of the large circle and the area of the small circle:

Area of shaded region = Area of large circle - Area of small circle

Area of shaded region ≈ 572.78 - 201.14

Area of shaded region ≈ 371.5

Therefore, the approximate area of the shaded region is 371.5square units.

Answer:

The area of the shaded region is 371.5 square units to the nearest tenth.

Step-by-step explanation:

To find the area of the shaded region of two concentric circles with a common center, subtract the area of the smaller circle from the area of the larger circle.

The formula for the area of a circle is A = πr², where r is the radius of the circle.

From inspection of the given diagram:

Therefore, the area of the shaded region is:

[tex]\begin{aligned}\textsf{Area of shaded region}&=\textsf{Area of larger circle}-\textsf{Area of smaller circle}\\&=\pi (13.5)^2-\pi (8)^2\\&=182.25 \pi - 64 \pi\\&=118.25 \pi\\&=371.493331...\\&=371.5\; \sf unit^2\;\;(nearest\;tenth)\end{aligned}[/tex]

The area of the shaded region is 371.5 square units to the nearest tenth.

The correct option is A.

A right triangle is a type of triangle in which one of its angles measures exactly 90 degrees (π/2 radians). This angle is called the right angle, and it is located opposite to the longest side of the triangle, which is called the hypotenuse. The other two sides are called the legs of the triangle.

The Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs, is one of the most important properties of right triangles. This theorem can be written algebraically as:

a^2 + b^2 = c^2

where a and b are the lengths of the legs, and c is the length of the hypotenuse.

Right triangles also have several other important properties, including:

The acute angles (those that are not the right angle) are complementary, which means that their sum is equal to 90 degrees.

The side opposite the right angle is always the longest side (the hypotenuse).

The legs are always perpendicular to each other.

The altitude (height) from the right angle to the hypotenuse divides the triangle into two smaller triangles that are similar to the original triangle and to each other.

Right triangles are used in many areas of mathematics and science, including trigonometry, calculus, geometry, physics, and engineering. They are also used in practical applications, such as in construction, surveying, and navigation.

In a right triangle EFG, where angle EFG = θ, the sine of θ is defined as the ratio of the length of the side opposite θ (EF) to the length of the hypotenuse (EG). Therefore, the answer is:

A. sin(θ) = EF/EG

To know more about lengths visit:

https://brainly.com/question/2497593

#SPJ1

The equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.

What is the slope-intercept form?

The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

Two lines are parallel if they have the same slope. The given line y = 3x - 5 is in slope-intercept form, which means its slope is 3.

A line in slope-intercept form has the equation y = mx + b, where m is the slope and b is the y-intercept. Therefore, any line of the form y = 3x + c, where c is a constant, will have a slope of 3 and be parallel to the given line.

Let's check each of the given equations to see which ones are of this form:

A. y = 3x - 7: This equation has the same slope as the given line, but it is not in the form y = 3x + c. Therefore, it is not parallel to the given line.

B. y = -3x - 5: This equation has a slope of -3, which is not the same as the slope of the given line. Therefore, it is not parallel to the given line.

C. 6x + 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:

2y = -6x - 4

y = -3x - 2

This equation has the same slope as the given line, so it is parallel to the given line.

D. 6x - 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:

-2y = -6x - 4

y = 3x + 2

This equation has the same slope as the given line, so it is also parallel to the given line.

Therefore, the equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.

To learn more about the slope-intercept form visit:

https://brainly.com/question/19440459

#SPJ1

0.02 Bitcoin is in dollar is 497.928000 US Dollar (USD)

1 Bitcoin = 24872.70 US Dollar (USD)

so 0.02 bitcoin in dollar is

0.02 * 42872.70 =  497.928000 US Dollar (USD)

Bitcoin has a high inverse correlation with the US Dollar Index (DXY). This makes conceptual sense as it has a fixed supply and is most commonly traded against the US dollar more than any other currency. Now, looking at the weekly data from early 2018, the correlation is around -70% (R2 is 0.5877).

Volker successfully curbed the extreme inflation of the late 1970s and early 1980s with aggressive monetary policy, pushing the dollar to a very high level. Like today, the U.S. hasn't experienced similarly high levels of inflation and may have already peaked. As a result, the US dollar is unlikely to hit her early 1980s highs.

know more about bitcoin click here;

https://brainly.com/question/24226298

#SPJ4

The exponential equation can be written as y = 84.3(1.02)ˣ.

Exponential equations are equations where the independent variable, x is in the exponent.

Given that,

Sale in the first week after opening her shop = $86

After advertising her new shop on social media, her sales increased by 20% the following week and continued to increase at that rate.

Percentage increase each week = 20%

Exponential equation will be of the form,

y = a (b)ˣ

where a is the initial sale.

b is the increase in sale.

Initial sale = $86

Sale in the second week = $86 + (20% of $86)

                                         = 86 + (0.2 × 86)

                                         = 86 (1 + 0.2)

Sale in the third week = [86 (1 + 0.2)] + [0.2 × 86 (1 + 0.2)]

                                     = [86 (1 + 0.2)] [ 1 + 0.2]

                                     = 86 (1 + 0.2)²

This goes on.

So sale after x weeks = 86 (1 +0.2)ˣ⁻¹

                                    = 86 (1.02)ˣ⁻¹

                                    = 86 (1.02)ˣ (1.02)⁻¹

                                    = 84.3(1.02)ˣ

Hence the function can be modeled as 84.3(1.02)ˣ.

To learn more about Exponential Equations, click :

https://brainly.com/question/29506679

#SPJ1

Your question is incomplete. The complete question is given below.

Isabella recently opened her online candle shop, Spectacular Scents. Her sales in the first week were $86. After advertising her new shop on social media, her sales increased by 20% the following week and continued to increase at that rate.

Write an exponential equation in the form y = a (b)ˣ that can model Isabella's weekly sales, y , x weeks after opening her shop.