The table how the height (in feet) of a high jump bar and the number of people who uccefully complete each jump. Identify the correlation of coefficient. Round your anwer to three decimal place

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Mathematically, it can be expressed as c² = a² + b² where c is the length of the hypotenuse and a and b are the lengths of the other two sides. The theorem can be proven using Euclidean geometry.

In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In short it is written as: a² + b² = c²

For example, if the sides are 6cm and 8cm, the hypothenuse will be:

c² = 6² + 8²

c² = 100

c = ✓100

c = 10cm

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Value of d = -8/3

The slope of a line is defined as the change in vertical coordinate with respect to the change in horizontal coordinate of that line.

Given,

Slopes of perpendicular lines are 3/4 and d/2

When two lines are perpendicular, product of their slopes = -1

3/4 × d/2 = -1

3d/8 = -1

d = -8/3

Hence, -8/3 is the value of d.

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The volume of the water in the pool is 942 cubic feet.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

Plug the given values into the above formula and solve for volume.

V = π × r² × h

V = 3.14 × ( 10ft )² × 3ft

V = 3.14 ×  100ft² × 3ft

V = 942 ft³

Therefore, the volume is 942 cubic feet.

Option B) 942 cubic feet is the correct answer.

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Using Pythagoras theorem, the perimeter of the figure is 34m

To determine the perimeter of the figure, we can simply add up all the sides and the undetermined sides, To find the unknown sides, we can use Pythagoras theorem to find the hypothenuse of the right-angle triangle.

Assuming the hypothenuse = x

x² = 4² + 3²

x² = 16 + 9

x² = 25

x = √25

x = 5

The perimeter of the figure can be calculated as;

P = 6m + 8m + 10m + 5m + 5m

P = 34m

The perimeter of the figure is 34m

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Zegen saves $1000 every month for their new house.

By definition, saving is income minus spending. Investment refers to physical investment, not financial investment. That saving equals investment follows from the national income equals national product identity.

Given here: Zegen's income is $6000 and the fixed expenses are $3000 with flexible expenses $2000

Thus we savings = Income-expenditure

Savings = 6000-5000

            =1000

Again it is given that the savings are put aside for the downpayment of a house

Hence, Zegen saves $1000 every month for their new house.

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The distance from the top left corner of the foundation to the bottom right corner is 27m.

We have ,The distance from top left corner of the foundation to the bottom right corner is equal to the diagonal of the rectangle.

so we can form a triangle and use Pythagoras Theorem,

D² = L² + W²

We have,

L = 20m

W = 18m

Putting the value in equation,

D² = 20² + 18²

D² = 400 + 324

D² = 724

D = 27 m

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides. Look at the triangle ABC, where BC² = AB² + AC² is present. The base is represented by AB, the altitude by AC, and the hypotenuse by BC in this equation.

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There is a ''negative correlation'' in the data set.

Hence, Option B is correct.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, By the graph;

The graph shows points that are grouped together and are decreasing.

And, The gathered data shows that there is a possibility to get correlation between them.

Thus, The group of data is decreasing.

So, the correlation of the data will be negative in nature.

Therefore, It can be said that the "There is a negative correlation in the data set".

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The combined perimeter and area of all three rectangular corrals can be represented algebraically as follows:

Total perimeter = 3 * (12x - 4) = 36x - 12

Total area = 3 * (5x^2 - 2x) = 15x^2 - 6x

Let x be the width of each rectangular corral.

L = 5x - 2

          P = 2(L + x)

             = 2(5x - 2 + x)

             = 2(6x - 2)

             = 12x - 4

         A = L * x

             = (5x - 2) * x

             = 5x^2 - 2x

So, the total perimeter and area of the three corrals can be represented algebraically as a function of x, the width of each corral.

Complete Question:

"A rancher has three rectangular corrals. They have the same dimensions. The length is five times the width minus two. How can the combined perimeter and area be represented algebraically? Let x be the variable."

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Answer:

P= 9.84t

Step-by-step explanation:

solve for t

t =25/246 P

Answer:

Sqrt92

9.6 or rounded to the nearest whole #, 10

Step-by-step explanation:

Answer:

question is not clear. what do you want to ask?

Step-by-step explanation:

How quickly a disease spreads through a population is shown by its incidence rate. So this measurement represent incidence type of rate. So the option A is correct.

How quickly a disease spreads through a population is shown by its incidence rate. It has a few benefits over an occurrence ratio because it is based on person-time. Person-time may account for people entering and exiting the research because it is calculated for each participant.

Incidence is the percentage or rate of people who develop a condition within a specific time period, as opposed to prevalence, which refers to the proportion of people who have a condition at or during a specific time period.

The total number of event occurrences within a given time period are represented by the COUNT metric submission type.

The mortality rate, often known as the death rate, is a measurement of the number of fatalities (generally speaking, or those caused by a particular cause) in a given population, scaled to that population's size, per unit of time.

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The complete question is:

A public health nurse is developing an educational program on the Zika virus for a community based on the information found on the county health website and comparing the number of persons (1,237) in the community. The nurse found there were 6 new cases in the past month in the country. The rate was computed as 0.005%. What type of rate does this measurement represent?

a. incidence

b. prevalence

c. count

d. mortality

The expression that irrational are:

B. 2–√. 3–√

C. 27−−√. 3–√

D. 57–√2−57–√

The square root of a non-perfect square is an irrational number, meaning that it cannot be expressed as a finite decimal or as a fraction of two integers.

In options B and C, the square root of 3 and the square root of 27 respectively are both irrational because 3 and 27 are not perfect squares.

In option D, both 57-√2 and 57-√ are irrational numbers because 57 is not a perfect square and the square roots of 2 and 3 are irrational.

Option A and E can be simplified to finite decimal or fraction, therefore they are rational numbers.

A fraction is not always expressed as a decimal. A fraction is a way of representing a number as a ratio of two integers, for example, 1/2 or 3/4. While a decimal is a way of expressing a number as a sum of powers of 10, for example, 0.5 or 0.75. A fraction can be converted to a decimal and vice versa, but they are not the same thing.

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The probability of choosing $11 dollar bags from a total of 6 bags is 1/6.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

In probability, a real-valued function, defined over the sample space of a random experiment, is called a random variable. That is, the values of the random variable correspond to the outcomes of the random experiment. Random variables could be either discrete or continuous.

The probability of winning $11 = Probability of choosing $10 bag * Probability of choosing $1 bag

The probability of choosing a $1 bag first = 5/6

Probability of choosing $10 bag second  = 1/5

Therefore the probability of choosing $11 dollar bags = 1/5 * 5/6 = 1/6

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The expression x = ce−2t is a solution of the initial condition is x(0) = 100 and x (0) = −2x.

In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value, is a value of an evolving variable at some point in time designated as the initial time (typically denoted t = 0).

Differentiating the function x = ce−2t

x = ce−2t with respect to t ,

We have:

x ′ = d/dt (Ce−2t)

x ′ = C(−2e−2t)

x ′ = −2(Ce−2t)

x ′= −2x. x ′

x ′ = d / d t ( C e − 2 t )

x ′= C ( − 2 e − 2 t )

x ′= − 2 ( C e − 2 t )

x ′= − 2 x .

Therefore,

The expression x = ce−2t is a solution of the initial condition is x(0) = 100 and x (0) = −2x.

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The value represented by the 5 in the hundred place is 1/10 times the value of 5 in the thousand place

A digit is the symbol that represents a number in a numbering system and if combined with others it is called a quantity.

We make the decomposition of the value  5,516, we have:

Unit of one thousand - hundred - ten - unit

5516

5000 Thousand

500 hundreds

10 tens

6 ones

The value of 5 in the thousand place is 10 times the value of the 5 in the hundred. It is the same to say that the 5 in the hundred is 1/10 times the value of 5 in the thousand place

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Answer:   11/20

Step-by-step explanation:

55% = 55/100 = 11/20

When the curve with equation y = f(x) is reflected and squared, the transformed function of f(x) is -1/2f(y).

Transformations are a catch all term for four different kinds of changing the location and/or shape of a circle, line, or geometric figure. The words used are the Pre-Image, which describes the shape of the object at first, and the Image, it describes the final shape and location of the object following alteration. Translations, mirrors, and dilations are the three different types of transformations. A function can be transformed in two different ways: vertically (which affects the y-values) and horizontally (affects the x-values). The equations of a function illustrated below includes the four conversion variables (a, b, h, and k). altering the log Consider the record of each observation as an illustration. multiplying by the square root each term's square root .

given

Initial Reflection Axis = ( -5 , -2 )

the axis of the x coordinate contracts to 1/2 (y )

= -1/2f ( y )

When the curve with equation y = f(x) is reflected and squared, the transformed function of f(x) is -1/2f(y).

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For per unit scoops of powdered 2 cups of Water is Needed.

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

Given,  Ryan is making a fruit drink. The directions say to mix 3 cups of water with 1 1/2 scoops of powdered fruit mix.

We have to find how many cups of water should he use with 6 scoops of fruit mix

Let "n" be the number of cups required for 6 scoops of fruit mix

3 cups of water ⇒ 1.5 scoops of fruit mix.

Then, n cups of water ⇒ 6 scoops of fruit mi

So, by cross multiplication,

6 * 3 = n *1.5

n = 12

Ryan has to use 12 cups of water for 6 scoops.

thus,

For per unit scoops of powdered 2 cups of Water is Needed.

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Answer:

3 hours

Step-by-step explanation:

Given,
Distance = 180 miles
Speed = 60 miles per hour
Distance/Speed = Time
Thus, Time taken is 180/60
Which is 3 hours

The probability of grabbing 2 consecutive orange pieces is approximately 0.101.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The probability of grabbing 2 consecutive orange pieces without replacement is calculated as:

[tex]\frac{30}{100}[/tex] × [tex]\frac{29}{99}[/tex] = 0.090/0.9 = 0.101010101...

Therefore, the probability of grabbing 2 consecutive orange pieces is approximately 0.101.

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Observing the two system of equations we can conclude that the values of x and y that represents the given conditions are: (15, 5). Hence, option D is the correct answer.

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.

The two-given system of equations are:

−y ≤ 3x + 4

−3x + 3y ≤ −9

Isolating the value of y in equation 2 we have:

−3x + 3y ≤ −9

3y ≤ 3x - 9

y ≤ x - 3

The first equation can also be written as:

−y ≤ 3x + 4

y ≥ - 3x - 4

Thus the two equations become:

y ≤ x - 3

y ≥ - 3x - 4

Observing the two equations we can conclude that the values of x and y that would be needed to satisfy the given conditions are: (15, 5). Hence, option D is the correct answer.

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The average velocity of a hiker that climb 0.9 km in 45 minutes is 1,2 km/hour.

Velocity is a derived quantity derived from the principal quantities of length and time, where the formula for speed is distance divided by time. Velocity is a vector quantity that indicates how fast an object is moving. Average velocity is the ratio between the displacement that occurs in an object with the time it takes to make the move.

Given,

Distance traveled = [tex]\frac{9}{10}[/tex] of 1 kilometer = 0.9 km

Time = [tex]\frac{3}{4}[/tex] of 1 hour = 0.75 hours

Velocity = [tex]\frac{distance}{time}[/tex]

Velocity =  [tex]\frac{0,9 km}{0,75 hours}[/tex]

Velocity = 1,2 kph

So that the velocity taken by the hiker is 1,2 kph.

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To find the height the ladder reaches on the wall, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the ladder in this case) is equal to the sum of the squares of the lengths of the other two sides.

Let's call the height the ladder reaches on the wall "h." Then we have a right triangle with sides h, 7 (the distance from the wall), and 12 (the length of the ladder).

Using the Pythagorean theorem, we have:

h^2 + 7^2 = 12^2

Solving for h:

h = sqrt(12^2 - 7^2) = sqrt(144 - 49) = sqrt(95) = 9.746781

Rounding to two decimal places, the ladder's height on the wall is 9.75 feet.

The Pythagorean theorem is a mathematical principle named after the ancient Greek mathematician Pythagoras. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

The theorem can be written as an equation:

a^2 + b^2 = c^2,

Where c is the hypotenuse length, and a and b are the lengths of the other two sides.

The Pythagorean theorem has numerous applications in mathematics, physics, engineering, and other fields and is considered one of the most important theorems in mathematics.

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Answer: x = g - c

Step-by-step explanation:

Isolate the variable: g-c = c-c + x

Rearrange the terms: g - c = x

x = -c + g

Answer:

y = 1/10x - 1

Step-by-step explanation:

Slope-intercept form:  y = mx + b

y + 2 = 1/10 (x + 10)

y + 2 = 1/10x + 1

y = 1/10x - 1

Answer:

B C F

Step-by-step explanation:

Total flour =   5  * 3/8

  and this is divided by 7 loaves

this becomes

5 *  3/8  /  7         then you just to look for the equivalent expressions

B      C    and F   are the same thing

The width of the rectangle is 90.5cm

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

The area of a rectangle is is expressed as A = l×w

where l is the length and w is the width

The area of a rectangle is 32³

l = 4 × w

l = 4w

therefore A = 4w × w

32³ = 4w²

w² = 32³/4

w² = 8192

w = √ 8192

w = 90.5 units

Therefore the width of the rectangle is 90?5cm

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Answer:

The area of the square is the side × side

We have the area

[tex]A = x^2-12x+36\\A = (x-6)^2\\A = (x-6)(x-6)[/tex]

The length of one side of the square represents [tex]x -6[/tex]