The table below shows the relationship between the diameter, x, in inches, and the height, y, in feet, of trees in a national park
8.3
10.5
12.9
16.3 77
17.3 81
17980
81
The two models shown were developed to represent the data
Model 1: y
= 1.04r + 61.92
Model 2: y
= 1.212 + 58.4
Create a residual plot for each model and select the true statement based on the residuals for each model

Answer:

There will be approx 283908 hits.

Step-by-step explanation:

A website had 342,000 hits in 2011.

This is a decline of 2.3% from the previous year.

Decline rate = 2.3% or 0.023

So, increase rate will be [tex]1-.023=0.977[/tex]

Time = [tex]2019-2011=8[/tex]

We can calculate the answer as:

[tex]342000\times(0.977)^{8}[/tex]

= [tex]342000\times0.83014[/tex]

= 283907.88 rounding to 283908.

Therefore, there will be approx 283908 hits.

Answer:

$12.50

Step-by-step explanation:

[tex]\bf \left( \cfrac{6^5}{7^3} \right)^2\implies \left( \cfrac{6^{5\cdot 2}}{7^{3\cdot 2}} \right)\implies \cfrac{6^{10}}{7^6}\implies \cfrac{60466176}{117649}\implies 513\frac{112239}{117649}[/tex]

Answer: c

Step-by-step explanation:

sampling variability is the difference between the measured value of the random sample and the mean age of the population

Option A demonstrates sampling variability because the mean age changes between two random samples chosen from the same population, illustrating the concept of sampling variability in statistics.

The subject of this question is a concept in statistics known as sampling variability. Sampling variability refers to the idea that the statistics of a random sample of a population (like mean, median, etc.) will vary from one sample to another. In essence, if we were to keep pulling samples from the same population, it's expected that our sample statistics will not always be the same.

In this context, the statement that demonstrates sampling variability is Option A: 'In one random sample chosen from the population, the mean age was 9.4 years. In another random sample, the mean age was 9.8 years.'. This demonstrates sampling variability because the mean age changes (varies) depending on the sample chosen from the population.

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3 I believe the answer

Answer:

1)m<AOB,m<BOC

2)m<EOD,m<AOB

3)m<AOE,m<EOD

Step-by-step explanation:

Complementary Angles-either of two angles whose sum is 90°.

Vertical Angles-each of the pairs of opposite angles made by two intersecting lines.

Supplementary Angles-either of two angles whose sum is 180°.

Answer:2 and 5

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{60}x^2[/tex]

Step-by-step explanation:

The focus of the parabola is (0,15)

and the directrix is y=-15.

The equation of this parabola is given by:

[tex]x^2=4py[/tex]

The vertex of this parabola is at the origin (0,0)

The value of p is the distance from the vertex to the focus.

p=15-0=15

The equation of the parabola is

[tex]x^2=4(15)y[/tex]

[tex]x^2=60y[/tex]

Or

[tex]y=\frac{1}{60}x^2[/tex]

Answer:

The height is [tex]h=8\ in[/tex]

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

[tex]A=\frac{1}{2}[b1+b2]h[/tex]

we have

[tex]b1=11\ in[/tex]

[tex]b2=27\ in[/tex]

[tex]A=152\ in^{2}[/tex]

substitute in the formula and solve for h

[tex]152=\frac{1}{2}[11+27]h[/tex]

[tex]304=[38]h[/tex]

[tex]h=304/38[/tex]

[tex]h=8\ in[/tex]

Answer:

Step-by-step explanation:

It has to be another circle with its center as the same center as the other two.

It must be equadistant from both.

The circle must have a radius of 2 which makes it one away from the 3 cm circle and 1 away from the 1 cm circle.

Answer:

2(x - 10)(x + 10)

Step-by-step explanation:

Given

2x² - 200 ← factor out 2 from each term

= 2(x² - 100) ← x² - 100 is a difference of squares and factors as

x² - 100 = x² - 10² = (x - 10)(x + 10), hence

2x² - 200 = 2(x - 10)(x + 10)

Answer:

Step-by-step explanation:

If your equation is [tex]2x^2-200[/tex] and you're to factor it, the first thing you do is set the expression equal to 0 so you can solve for x.

[tex]2x^2-200=0[/tex]

There's a couple of different ways in which to approach this.  You can factor out a 2:

[tex]2(x^2-100)=0[/tex]

and solve it from there.  The Zero Product Property says that if the equation is equal to 0, then either 2 has to equal 0 or [tex]x^2-100[/tex] has to equal 0.  We know that 2 does not equal 0, so [tex]x^2-100=0[/tex]

Add 100 to both sides in the equation:

[tex]x^2=100[/tex]

and then take the square root of both sides.  Because this is a second degree polynomial, we expect to have 2 solutions, and we do.  Don't forget that when you take the square root of a number you have to alow for both the positive and the negative of the result.  Our factored form of the given equation then is that x = 10 and x = -10.

Answer:

Option D. 17%

Step-by-step explanation:

we have

[tex]f(x)=250,000(1.17)^{x}[/tex]

This is a exponential function of the form

[tex]f(x)=a(b)^{x}[/tex]

where

a is the initial value

b is the base

In this problem

a=250,000 people

b=1.17

Remember that

b=1+r

so

1+r=1.17

r=1.17-1=0.17

Convert to percentage

0.17*100=17%

Using the concept of discrete and continuous variables, the correct option is given by:

The data is discrete, so the graph is a series of unconnected points.

In this problem, the input is the number of books, which is a countable amount, that is, discrete, hence the graph is a series of unconnected points.

The graph is given at the end of the answer.

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Answer:

[tex]f(0)=7.07[/tex]

Step-by-step explanation:

We have the function [tex]f(x)=2(x)^2+5\sqrt{(x+2)}[/tex]

In this case we want to find the value of f0)

To find f(0) you must replace the x in the function with the number 0 and solve as shown below

[tex]f(0)=2(0)^2+5\sqrt{(0+2)}[/tex]

[tex]f(0)=0+5\sqrt{(0+2)}[/tex]

[tex]f(0)=5\sqrt{(2)}[/tex]

Therefore

[tex]f(0)=7.07[/tex]

The liabilities only is 57,379

Answer:

cdc

Step-by-step explanation:

1. The option is (A) mean = –25; median = –26.5; mode = –28; range = 40.

2. The option is (C) 13; 17.6; 20.

The median is the value that splits the mathematical numbers or expressions in the half. The median value is the middle number of data points. to find the median first arrange the data points in ascending order.

To find the mean, median, mode, and range of the data set, we first need to arrange the data in order:

–46, –39, –28, –28, –25, –17, –11, –6

Mean: To find the mean, we add up all the values and divide by the total number of values:

Mean = (-46 + -39 + -28 + -28 + -25 + -17 + -11 + -6) / 8

Mean = -25

Median: To find the median, we need to find the middle value of the data set.

Since there are 8 values, the median is the average of the 4th and 5th values:

Median = (-28 + -25) / 2

Median = -26.5

Mode: The mode is the value that appears most frequently in the data set. In this case, the mode is –28, since it appears twice and no other value appears more than once.

Range: To find the range, we subtract the smallest value from the largest value:

Range = -6 - (-46)

Range = 40

Therefore, the answer is (A) mean = –25; median = –26.5; mode = –28; range = 40.

2.

A. The outlier in the data set is 37, since it is much larger than the other values.

B. To find the mean with the outlier, we add up all the values and divide by the total number of values:

Mean = (21 + 13 + 13 + 37 + 13 + 23 + 25 + 15) / 8

Mean = 17.6

C. To find the mean without the outlier, we need to exclude the value 37 and then calculate the mean using the remaining values:

Mean = (21 + 13 + 13 + 13 + 23 + 25 + 15) / 7

Mean = 17.6

Therefore, the answer is (C) 13; 17.6; 20.

To learn more about the median;

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Answer:

x equal 104

Step-by-step explanation:

since 8 needs to go into something 13 times we can multiply

8 x 13 to get

104

104 divided by 8

equals 13

Answer:

x=104

Step-by-step explanation:

x/8 = 13

Multiply each side by 8

x/8 *8 = 13*8

x = 104

Answer:

3 houses have all pink, blue, and yellow.

Answer:

The answer is 3 houses.

Step-by-step explanation:

This question is based on the Least Common Multiple (LCM) method. We will find the LCM of the numbers 4, 6 and 8.

4 = 2 x 2 = [tex]2^{2}[/tex]

6 = 2 x 3 = 2 x 3

8 = 2 x 2 x 2 = [tex]2^{3}[/tex]

So, LCM is = [tex]2^{3}\times3=24[/tex]

Therefore, at every 24th houses, we will find all three trolls colors.

And 24 is the number of houses we will find all color trolls. Then in a group of 75 houses, it will occur thrice and at every 24th place. Means. 3 houses will have all color trolls.

The solution to the system of equations y=4x+6 and y=2x-4 is (-5, -14) by solving the equations simultaneously.

The solution to the system of equations y = 4x + 6 and y = 2x - 4 is found by setting the two equations equal to each other since they both equal y. This gives us 4x + 6 = 2x - 4. By subtracting 2x from both sides, we get 2x + 6 = -4. Subtracting 6 from both sides gives us 2x = -10. Dividing both sides by 2 gives us x = -5. Substitute x = -5 into either original equation to find y. Let's use the first equation: y = 4(-5) + 6, which simplifies to y = -20 + 6, and finally y = -14. Hence, the solution to the system of equations is (-5, -14).

Answer:

57

Step-by-step explanation:

[tex] {a}^{2} + 4(3 + a)[/tex]

[tex] {5}^{2} + 4(3 + 5)[/tex]

[tex]25 + 12 + 20[/tex]

[tex]57[/tex]

Answer:

Step-by-step explanation:

23

Answer:

([tex]\frac{27}{2}[/tex], 4 )

Step-by-step explanation:

Use the midpoint formula

midpoint = [[tex]\frac{1}{2}[/tex](x₁ + x₂), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]

with (x₁, y₁ ) = (14, - 6) and (x₂, y₂ ) = (13, 14), hence

[[tex]\frac{1}{2}[/tex](14 + 13), [tex]\frac{1}{2}[/tex](- 6 + 14) ]

= ([tex]\frac{27}{2}[/tex], 4)

Answer:

Step-by-step explanation:

The formula of a circumference:

[tex]C=2\pi r=d\pi[/tex]

r - radius

d - diameter

We have [tex]C=52\pi\ in[/tex].

Calculate the diameter using [tex]C=d\pi[/tex]:

[tex]d\pi=52\pi[/tex]                 divide both sides by π

[tex]d=52\ in[/tex]

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If a circle inscribed in a square, then the diameter of a circle and a side of a square are congruent (have the same length).

We have the area of the square:

[tex]A=36\ mm^2[/tex]

The formula of an area of a square:

[tex]A=s^2[/tex]

s - side

Substitute:

[tex]s^2=36\to s=\sqrt{36}\\\\s=6\ mm[/tex]

The formula of a circumference [tex]C=d\pi[/tex]

d - diameter

d = s → d = 6 mm

Substitute:

[tex]C=6\pi\ mm[/tex]

Answer:

B. x= -1

Step-by-step explanation:

axis of symmetry is: [tex]x=\frac{-b}{2a}[/tex]

[tex]x=\frac{-4}{2(2)} \\x=\frac{-4}{4}\\x=-1[/tex]

The axis of symmetry for the given parabola equation y = 2x²+ 4x - 1 is x = -1.

The axis of symmetry of a parabola in the form y = ax² + bx + c can be found using the formula x = -b/(2a). For the given equation y = 2x² + 4x - 1, we can identify a as 2 and b as 4. Substituting these values into the formula for the axis of symmetry gives us x = -4/(2²) = -1.

Answer:

Well I think it is A because domain is the x values.

Step-by-step explanation:

So when you plug this in your calculator (mine is a ti-84 plus ce) you would hit graph. After it graphs it press Zoom, 0 to center it then press 2nd, trace which pulls up parabola menu's. Press 0 and find the left bound, right bound and then press enter which would give you x values of 2.9375 < t< 6

At the same time I don't know if this is right. I never really excelled at parabolas just trying to help.

Check the picture below.

so the domain will be the values that "x" gets, now, the maximum height of the ball is when it reaches the vertex or U-turn up above, well, what is the x-coordinate anyway?

[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+94}t\stackrel{\stackrel{c}{\downarrow }}{+12} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{94}{2(-16),}\qquad \qquad \right)\implies \left( \cfrac{487}{16},\qquad \qquad \right)\implies (2.9375,\qquad \qquad )[/tex]

so then x = 2.9375 at the vertex, now, what is "x" when it hits the ground? recall y = 0 at that instant.

[tex]\bf \stackrel{f(t)}{0}=-16t^2+94t+12\implies 0=-2(8t^2-47t-6) \\\\\\ 0=(8t+1)(t-6)\implies t= \begin{cases} \boxed{6}\\ \begin{matrix} -\frac{1}{8} \\[-0.5em]\cline{1-1}\\[-5pt]\end{matrix} \end{cases}[/tex]

so then, the values for "x" or namely the domain from the vertex till the ball hits the ground is 2.9375 < t < 6.

Answer:

6

Step-by-step explanation:

In order to solve this we must use order of operations or PEMDAS.

Parentheses:

First perform operations within parentheses. In this case, do 8-2.

Now we have 8 - 6 / 3.

Exponents:

There are no exponents.

Multiplication or Division:

Divide 6 by 3.

Now we have 8 - 2.

Addition or Subtraction:

Subtract 8-2.

The answer is 6

If your "and" means multiplication than:

[tex]-2\times\frac{1}{3}-(-5) \\

\frac{-2}{3}+5 \\

\frac{-2+15}{3} \\

\boxed{\frac{13}{3}\approx4.33\dots}

[/tex]

If it is a logical and than we are unable to solve the problem since you didn't provide any variables that would have a meaningful values.

Hope this helps.

You can always compute the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] using the pythagorean theorem:

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

In your case, we have

[tex]d = \sqrt{(0-a)^2+(a-0)^2} = \sqrt{2a^2}=a\sqrt{2}[/tex]

Answer:

[tex]\sqrt{2}a[/tex]

Step-by-step explanation:

We are asked to find the distance between point (0,a) and point (a,0) on a coordinate grid.

We will use distance formula to solve our given problem.

The distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex], where D represents distance between two points.

Let point [tex](0,a)=(x_1,y_1)[/tex] and point [tex](a,0)=(x_2,y_2)[/tex].

Substitute the values in distance formula:

[tex]D=\sqrt{(0-a)^2+(a-0)^2}[/tex]

[tex]D=\sqrt{(-a)^2+(a)^2}[/tex]

[tex]D=\sqrt{a^2+a^2}[/tex]

[tex]D=\sqrt{2a^2}[/tex]

Factor out perfect square:

[tex]D=\sqrt{2}a[/tex]

Therefore, the distance between two points would be [tex]\sqrt{2}a[/tex].

Answer:

24 Days

Step-by-step explanation:

The smallest common multiple of 6 and 8 is 24. Therefore, both girls will bring cheese and crackers for lunch on the same day 24 days from today.

This question is about finding the least common multiple (LCM) of the two numbers. Sandra brings cheese and crackers for lunch every 6 days and Lily every 8 days. The first step in solving this problem is to list the first few multiples of each number to find the smallest number that both numbers have in common.

So, for Sandra, the multiples of 6 are 6, 12, 18, 24, 30, 36, etc. And for Lily, the multiples of 8 are 8, 16, 24, 32, 40, etc. The least common multiple of 6 and 8 is 24.

Therefore, it will be 24 days before both Sandra and Lily bring cheese and crackers for lunch on the same day again.

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Answer:6.5%

Step-by-step explanation:

There are 4, number three cards and 4 diamond cards in a deck of 52 cards. Divide 52 by 8.

Answer:

30.8% or 4/13

Step-by-step explanation:

There are 52 cards in a deck of cards.

There are 4 nines (4/52) and 13 (13/52) diamonds in a deck of cards.

When you add them together, you get 17/52. Then, you have to subtract the card that is both a nine and in a diamond suite, so you subtract -1 because there is only one card that fits both categories. You should have 16/52, which simplifies to 4/13 / 30.8%.

The broken flagpole forms a right triangle, where the vertical leg is the piece still standing and the hypotenuse is the broken piece.

So, the original length is the sum of the hypotenuse and the vertical leg.

The hypotenuse can be found using the pythagorean theorem:

[tex]h=\sqrt{7^2+24^2}=25[/tex]

So, the flag was originally [tex]7+25=32[/tex] meters long.

1/8 of 480 is 480 ÷ 8

480/80 is 60

Answer ^^^^

The Answer Would Be 60