Write an equation that could be used to find the value of e.

It is possible, however, that some individuals in the sample may have had heights that were close to the average, either slightly above or slightly below it.

It is unlikely that any individual in Dr. Vickers' sample (or anyone at all) would have had the exact average number of feet, as the average is typically calculated as a mathematical mean that may or may not correspond to an actual measurement.

For example, if the average (mean) number of feet in a sample of 10 people is calculated to be 6 feet, it is highly unlikely that any individual in the sample actually has a height of exactly 6 feet. Rather, the average is a statistical summary of the data that provides insight into the central tendency of the sample as a whole.

It is possible, however, that some individuals in the sample may have had heights that were close to the average, either slightly above or slightly below it.

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The slope of the function g(x) is greater than f(x) and so g(x) is steeper than f(x). The correct option is C.

A straight line equation is represented by y = mx+c, where m is the slope and c is the y-intercept.

m is given by (y₂-y₁)/(x₂-x₁)

From the graph , the y-intercept is 4 and the two points on the line are    ( 0,4) and ( 1,1).

m = -3

c =4

The equation of the function g(x) is g(x) = -3x+4

The slope of the function g(x) is greater than f(x) and so g(x) is steeper than f(x).

Therefore, the correct option is C.

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Answer:

54 students would have a dog.

Step-by-step explanation:

If 6 out of 10 students have a dog, then multiplying 10 by 9 and 6 by 9 you will get 90 students having a dog.

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

2.4x + 4.6x = 28

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Here we see that 28 does indeed equal 28.

∴ x = 4 is a solution of the equation.

Answer:

Step-by-step explanation:

7.73 - 1.14 is equal to 6.59 dollars

Answer:

$6.19

Step-by-step explanation:

alrighty, this is a standard subtraction problem, so what are we gonna do? that's right, subtract:

7.33 - 1.14 = 6.19

So, Lisa has $6.19 left after buying a pen

hope this helps:)

Answer:

Rs. 3,14,532

Step-by-step explanation:

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

The relationship between the number of plants and the number of roses is a linear relationship.

The given points on the graph are;

(1, 5), (2, 10), (3, 15), (4, 20)

The difference between consecutive x-values is 1, which is constant;

2 - 1 = 3 - 2 = 4 - 3 = 1

Similarly, the difference between consecutive y-values is also a constant, 5;

10 - 5 = 15 - 10 = 20 - 15 = 1

The x-values are the x-coordinates of the points found by using the numbers along the X-axis, while the y-values are the y-coordinates of the points, corresponding to the numbers located along the y-axis

Given that the differences between consecutive terms of the x and y-values are constant, therefore;

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Answer:

See image

Step-by-step explanation:

Plato

In match play, when the players agree to consider the hole tied after it has begun, the ruling is known as "halving the hole."

In match play, if the players agree to consider the hole tied after it has begun, the hole is deemed halved, and the players move on to the next hole without any penalty strokes. This is called "conceding the hole" and is a common practice in match play.

This means that both players receive half a point for the hole, and the match proceeds to the next hole.

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1.. Plane R and plane P intersect at AB.

2.. 3 points that are collinear are A, D and B.

3. Planes can be named indicating three points that are on the same plane yet not on the same line.

4. Coplanar points are three or more points that lie on the same plane.

What is Coplanar points?

When three points that are not on the same line can be used to describe a plane, it is said to be a plane. Line AB is the point where planes P and R intersect. Plane P is horizontal and Plane R is vertical. These two planes intersect at this point, so line AB is shared by both planes.

A, D, and B are the three collinear points. This occurs when three or more points are all aligned in a single straight line, as the name collinear suggests.

Three locations that are on the same plane but not on the same line might be termed as a plane. These points are not collinear, to put it another way. DBG or FAD are two ways to represent Plane R.

Three or more points on the same plane are referred to as coplanar points. Since planes are typically flat surfaces, any three or more points located there are considered coplanar points. The four coplanar points ACDE are located on plane P.

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Answer:

12m

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

when u add all the angles of a triangle the sum should be 180.. so 65+65 is 130... then u have to subtract 130 from 180 which gives the final answer as 50

hope my ans helps

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Answer:

triangle - 7

Step-by-step explanation:

Because Evan has 7 less pencils than isiah, the number of pencils evan has can be determined by subtracting 7 from the number of pencils isaish has

triangle - 7

If evan had 7 more pencils : triangle +  7

Answer:

9 x 9 = 81

Step-by-step explanation:

area = width x height

Since it's a square, width = height

Answer:

3/2

Step-by-step explanation:

8 feet from the end of the wall is the nearest edge of the picture.

The process of converting phrases into equations and then solving those equations is known as solving algebraic word problems.

We will only need to use one variable and fundamental arithmetic operations to create the equations we require. In a real-world situation, the variable often stands for an unknowable quantity.

We can model and resolve word problems on the test that have two overlapping groups using Venn diagrams.

Let's say that the distance from the picture to the wall is x.

Since that distance will be on both sides of the picture (it's in the exact middle), we can say that:

x+3+x=19

=> 2x+3 = 19

=>2x=16

=>x= 8

Thus, 8 feet from the end of the wall is the nearest edge of the picture.

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Answer:

x=0

Step-by-step explanation:

Answer:

The answer is perpendicular

Step-by-step explanation:

Hope i helped :)

Answer:

arun has about 66 marbles in total, in my calculations

The mathematical model for the statement is:

y = 30x

Direct variation is a mathematical relationship between two variables x and y that can be expressed by y=kx,

where k is the constant of proportionality.

The constant of proportionality, which is sometimes called the constant of variation, indicates the proportionality between two variables.

A direct variation model that relates y and x is:

y = kx

where k is the constant of variation.

If x = 10 and y = 30, then we can use these values to determine the value of k.30 = k(10)k = 3

Therefore, the direct variation model that relates y and x is:

y = 3x

The mathematical model for the statement "y varies directly with x, and y = 150 when x = 5" is:

y = kx

where k is the constant of proportionality.

If y = 150 when x = 5, we can use these values to determine the value of k.150 = k(5)k = 30

Therefore, the mathematical model for the statement is:

y = 30x

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Problem 3: Let ϕ = ¹+√5 be the Golden Ratio.

Show that for any 1+ nEN+ that on = fn-1+fno.

Since ϕ is the Golden Ratio, it has a special property.ϕ² = 1 + ϕ

This can be rearranged as follows:ϕ² - ϕ - 1 = 0

Using the quadratic formula, we obtain:ϕ = (1 ± √5)/2

Since ϕ is a number larger than 1, we know that (1-ϕ) is less than 0.(1-ϕ) < 0

However, when we raise this negative number to a power, it will become positive.

(1-ϕ)^n > 0

Therefore, we can say that:

ϕ^(n+1) - (1-ϕ)^(n+1) = (ϕ - 1)(ϕ^n) + (ϕ^n - (1-ϕ)^(n+1))

The left side of this equation looks like a mess, but the right side looks promising.

If we let fn = ϕ^n

Fn = (1-ϕ)^(n+1),

We can simplify things considerably:

ϕ^(n+1) - (1-ϕ)^(n+1) = (ϕ - 1)fn + (Fn - ϕ^n)

We want to show that fn = f(n-1) + fn,

So let's rearrange the right side a little bit:(ϕ - 1)fn + (Fn - ϕ^n) = fn + ϕ(fn-1) + Fn - ϕ^n

We see that the two middle terms of this expression combine to give ϕ(fn-1 + fn), which is what we want.

We just need to get rid of the other two terms:

(ϕ - 1)fn + (Fn - ϕ^n) = fn + ϕ(fn-1) + Fn - ϕ^n(ϕ - 1)fn - ϕ(fn-1) = Fn - (1 - ϕ^n)

Dividing both sides by ϕ - 1, we get: fn = fn-1 + Fn/(ϕ - 1)

Now we just need to show that Fn/(ϕ - 1) = f(n+1) - fn.

We'll start by using the formula for Fn that we derived earlier:

Fn = (1-ϕ)^(n+1) = (-ϕ)^-(n+1)

We can plug this into the equation for Fn/(ϕ - 1):Fn/(ϕ - 1) = (-ϕ)^-(n+1)/(ϕ - 1)

Multiplying both the numerator and denominator by ϕ^(n+1), we get:

(-1)^nϕ^n/(ϕ^(n+1) - (1-ϕ)^(n+1)) = (-1)^nϕ^n/(ϕ^(n+1) - Fn)

This is almost what we want, except for the (-1)^n factor.

We can get rid of this factor by noting that f(0) = 0

f(1) = 1.

If we assume that fn = f(n-1) + f(n-2),

Then we can see that this is true for all n ≥ 2.

Therefore, we can say that:

Fn/(ϕ - 1) = f(n+1) - fn

And so we have shown that fn = f(n-1) + fn for any n ≥ 1,

where fn = ϕ^n/(√5)

ϕ = (1 + √5)/2.

The proof is complete.

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Answer:

$31

Step-by-step explanation:

Let x be the number of dollars of the membership fee. Then, the number of students who will become members is:

60 - 5(x - 10)

This expression comes from the given estimate that for every $1 increase in the membership fee, 5 fewer students will become members. When the fee is $10, 60 students become members, so we need to subtract 5 for every dollar above $10.

The revenue earned by the library is the product of the membership fee and the number of students who become members:

R = x(60 - 5(x - 10)) = 60x - 5x^2 + 250x - 1500

Simplifying this expression, we get:

R = -5x^2 + 310x - 1500

This is a quadratic function with a negative coefficient for the x^2 term, which means it is a downward-facing parabola. Therefore, the maximum revenue occurs at the vertex of the parabola.

The x-coordinate of the vertex can be found using the formula:

x = -b/(2a)

where a is the coefficient of the x^2 term and b is the coefficient of the x term. In this case, a = -5 and b = 310, so:

x = -310/(2*(-5)) = 31

Therefore, the membership fee that will provide the maximum revenue to the library is $31.

Answer:

B (1)

Step-by-step explanation:

15/19 + 14/19 = 29/19

Step-by-step explanation:

Add the number of balls in the basket together.

Subtract the number of white balls from the sample space ( the total amount of balls) your answer is written over the sample space and the same process is done for the green ball