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The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].

The projected number of new cases for 2013 is 1352.

Given that,

The number of newly reported crime cases in a county in New York State is shown in  the accompanying table,

Where x represents the number of years since 2001, and y  represents number of new cases.

We have to determine,

The linear regression equation that represents  this set of data.

And Using this  equation, find the projected number of new cases for 2013.

According to the question,

The line of best-fit is given by:

[tex]y = bx+a[/tex]

Assume [tex]y = kx + b[/tex]

And,

[tex]k = \dfrac{change \ in \ y} {change \ in \x }\\\\k = \dfrac{1194-1086}{5-0}\\\\k = \dfrac{108}{5}\\\\k = 21.6[/tex]

Then, pass from the point (3, 1158),

[tex]y = kx + b \\\\1158 = 21.6 \times 3 + b \\\\1158 = 64.8 +b \\\\b = 1158 - 64.8\\\\b = 1093.2[/tex]

Then ,

The projected number of new cases -  the number of years since 2001

[tex]= 2013-2001 \\\\= 12[/tex]

Therefore,

[tex]y = 21.6\times 12 + 1093.2\\\\y = 259.2 + 1093.2 \\\\y = 1352.4\\\\y = 1352 \ approx[/tex]

Hence , The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].

And The projected number of new cases for 2013 is 1352.

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Answer:

Si

Step-by-step explanatio:

Answer:

idk

Step-by-step explanation:

hi

Answer:

Complement 60 Supplement 150

Step-by-step explanation:

the complementary angle is an angle that is added to your original angle of 30° to get 90°

Complementary Angle = 90 - 30°

Complementary Angle = 60°

The supplementary angle is an angle that is added to your original angle of 30° to get 180°

Supplementary Angle = 180 - 30°

Supplementary Angle = 150°

Answer:

y+13 = 5(x+2)

Step-by-step explanation:

y = 5x – 3

This is in slope intercept form  y = mx+b so the slope is m which is 5

We have a slope and a point ( -2, -13)

Point slope form is

(y-y1) = m(x-x1)

y - -13 = 5(x--2)

y+13 = 5(x+2)

Answer:

He is right

Step-by-step explanation:

I just took the quiz on edu

Answer:

Step-by-step explanation:

Answer:

x-1 and x+4. srry if i am wrong

Step-by-step explanation:

Answer:

$4.76

Step-by-step explanation:

It costs $2.80 to make a sandwich at the local deli shop and the deli sells it at a price that is 170% of the cost.

We have to find 170% of the cost of making each sandwich ($2.80):

170/100 * 2.80 = $4.76

The sandwich sells for $4.76

Answer:

ben

Step-by-step explanation:

Step-by-step explanation:

11m - 7m < 14 + 14

4m < 28

m < 28 / 4

m < 7

Answer:

[tex]18 \:ft^2[/tex]

Step-by-step explanation:

The area of a trapezoid.

[tex](a+b)h\frac{1}{2}[/tex]

[tex](8+4)3 \times \frac{1}{2}[/tex]

[tex](12)3 \times \frac{1}{2}[/tex]

[tex]36 \times \frac{1}{2}[/tex]

[tex]=18[/tex]

Answer:

85

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

A + B+ C = 180

A +72+ 23 = 180

Combine like terms

A + 95  = 180

Subtract  95  from each side

A +95-95 = 180-95

A =85

Answer:

-4

Step-by-step explanation:

Substitute [tex]x = 2[/tex] in to the function

[tex]f(2) = 2^2 -5(2) + 2[/tex]

= -4

[tex]answer \\ 26 \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

more ... The same shape and size, but we are allowed to flip, slide or turn. In this example the shapes are congruent (you only need to flip one over and move it a little). Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.

Step-by-step explanation:

happy to help ya:)

Answer:

Congruent means two or more objects that are the same. All angles and sides have to be the same length and measure.

Step-by-step explanation:

congruent means equal two

Answer:

Step-by-step explanation:

10,12,13,20, 21,

[tex]answer \\ \sqrt{208} \\ solution \\ hypotenuse = c \\ perpendicular = 8 \\ base = 12 \\ using \: pythagoras \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {c}^{2} = {8}^{2} + {12}^{2} \\ or \: {c }^{2} = 64 + 144 \\ or \: {c}^{2} = 208 \\ c = \sqrt{208} \\ hope \: it \: helps[/tex]

Answer:

[tex]x=40[/tex]

Step-by-step explanation:

[tex]x=\frac{4}{5}\left(x+10\right)\\\mathrm{Expand\:}\frac{4}{5}\left(x+10\right):\quad \frac{4}{5}x+8\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=\frac{4}{5},\:b=x,\:c=10\\=\frac{4}{5}x+\frac{4}{5}\cdot \:10\\=\frac{4}{5}x+10\cdot \frac{4}{5}\\10\cdot \frac{4}{5}=8\\10\cdot \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{4\cdot \:10}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:10=40\\=\frac{40}{5}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{40}{5}=8\\=\frac{4}{5}x+8\\x=\frac{4}{5}x+8\\\mathrm{Subtract\:}\frac{4}{5}x\mathrm{\:from\:both\:sides}\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\Simplify\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\\mathrm{Simplify\:}x-\frac{4}{5}x:\quad \frac{1}{5}x\\x-\frac{4}{5}x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(1-\frac{4}{5}\right)\\1-\frac{4}{5}=\frac{1}{5}\\=\frac{1}{5}x\\1-\frac{4}{5}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:5}{5}\\=\frac{1\cdot \:5}{5}-\frac{4}{5}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{1\cdot \:5-4}{5}\\1\cdot \:5-4=1\\1\cdot \:5-4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:5=5\\=5-4\\\mathrm{Subtract\:the\:numbers:}\:5-4=1\\=1\\=\frac{1}{5}\\=\frac{1}{5}x\\\mathrm{Simplify\:}\frac{4}{5}x+8-\frac{4}{5}x:\quad 8\\\frac{4}{5}x+8-\frac{4}{5}x[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:\frac{4}{5}x-\frac{4}{5}x=0\\=8\\\frac{1}{5}x=8\\\mathrm{Multiply\:both\:sides\:by\:}5\\5\cdot \frac{1}{5}x=8\cdot \:5\\\mathrm{Simplify}\\x=40[/tex]

Answer:

40

Step-by-step explanation:

x+10= x 5/4

x +10= 5x/4

4x+40= 5x

40= x

x=40

Answer:

3.75 hours (3 hours and 45 minutes)

Step-by-step explanation:

5 times 3/4 = 3.75

Answer:

at the top of the high slope in the top right sqaure and in the middle of the bottom slope in the bottom left

Step-by-step explanation:

Answer:

[tex]20h^4j^2k^3[/tex]

Step-by-step explanation:

[tex]\sqrt{400h^8j^4k^6}[/tex]

Since it's square root, you divide the exponents by 2.

[tex]20h^4j^2k^3[/tex]

Answer:

[tex]20h^{4} j^{2} k^{3}[/tex]

Step-by-step explanation:

Answer:  3/4

Step-by-step explanation:

1. square root the denominator and nominator, 36= 6 and 64= 8

2. put them together (6/8)

3. simplify 6/8

4. 6/8 divided by 2

5. 3/4 is your answer

Answer:

X=2/5,8/3

Step-by-step explanation:

Look on Tiger Algebra for step by step. JUst put the problem into g-oogle.

Answer:

X=8/3,2/5

Step-by-step explanation:

The linear model for the number of purchases over time is:

p = 0.043t + 3.726

We have,

Let's assign the variable t as the number of months since January 2007, where t = 0 corresponds to January 2007.

Given data:

June 2007: p = 4,500 (in thousands, so p = 4.5)

September 2008: p = 5,100 (in thousands, so p = 5.1)

We can use these data points to set up a system of equations to solve for the slope (r) and the intercept (i) in the linear model p = rt + i.

Using the data points,

4.5 = r(18) + i (June 2007 corresponds to 18 months after January 2007)

5.1 = r(32) + i (September 2008 corresponds to 32 months after January 2007)

Solving this system of equations will give us the values of r and i.

Subtracting the second equation from the first equation:

4.5 - 5.1 = r(18) - r(32)

-0.6 = -14r

r = -0.6 / -14

r = 0.043

Substituting the value of r into one of the equations:

4.5 = 0.043(18) + i

4.5 = 0.774 + i

i = 4.5 - 0.774

i = 3.726

Therefore,

The linear model for the number of purchases over time is:

p = 0.043t + 3.726

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Answer:

a. A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones y aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido. b.  Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.

Step-by-step explanation:

¿Cuántos tejuelones le entregaron a Estela? ¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?

Datos

Pedido de Estela:

138 tejuelones.

Le entregaron:

Dos (2) Paquetes de 50 tejuelones.

Dos (2) Paquetes de 15 tejuelones.

Tres (3) Sueltos.

Operación

Para determinar cuántos tejuelones le entregaron a Estela, efectuamos las siguientes operaciones para determinar el número de tejuelones que le entregaron:

Dos (2) Paquetes de 50 tejuelones

2 * 50 tejuelones = 100 tejuelones

Dos (2) Paquetes de 15 tejuelones

2 * 15 tejuelones = 30 tejuelones

Es decir, multiplicamos el número de paquetes por la cantidad de tejuelones que trae cada uno.

Ahora sumamos el total de ambas cantidades y le adicionamos los tres (3) tejuelones sueltos:

(100 + 30 + 3) tejuelones = 133 tejuelones.

Pero Estela pidió 138 tejuelones, así que aún necesita:

(138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido realizado.

Respuestas

¿Cuántos tejuelones le entregaron a Estela?

A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones.

¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?

Estela aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido.

¿Cuántos tejuelones llevó Don Antonio?

Datos

Pedido de Don Antonio

Tres (3) paquetes de 50 tejuelones.

Cuatro (4) paquetes de 15 tejuelones.

Siete (7) tejuelones sueltos.

Operaciones

Para determinar cuántos tejuelones le entregaron a Don Antonio, debemos multiplicar el número de paquetes por la cantidad de cada uno y sumar los siete (7) tejuelones sueltos, es decir, seguimos el mismo procedimiento de la pregunta anterior.

Tres (3) paquetes de 50 tejuelones

3 * 50 tejuelones = 150 tejuelones.

Cuatro (4) paquetes de 15 tejuelones

4 * 15 tejuelones = 60 tejuelones.

Ahora sumamos estas cantidades y le adicionamos los siete (7) tejuelones sueltos:

(150 + 60 + 7) tejuelones = 217 tejuelones.

Respuesta

¿Cuántos tejuelones llevó Don Antonio?

Entonces, considerando los resultados anteriores, tenemos que Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.

Answer:

69.08

Step-by-step explanation:

Area equals pi r times 2

A equals 3.14 times 11 times 2

Step-by-step explanation:

area of circle = pi r^2

area = 22/7 × 11yd× 11yd

area = (2662yd^2)/7

area = 380.3 yd^2

Answer:

x= -12

Step-by-step explanation:

∠2= (180°-36°)÷2 (base ∠s of isos. △)

∠2= 72°

m∠2= x +84

72= x +84

x= 72 -84

x= -12

Answer:

The value if x is -12.

Step-by-step explanation:

Given that isosceles triangle have a same pair of angle. So in order to find the angles, you have to subtract it from 180° and 36°.

[tex]θ + θ + 36 = 180[/tex]

[tex]2θ = 180 - 36[/tex]

[tex]2θ = 144[/tex]

[tex]θ = 144 \div 2[/tex]

[tex]θ = 72[/tex]

Next, the expression for ∠2 is x + 84 which is also 72°. So you have to solve it by comparing :

[tex]x + 84 = 72[/tex]

[tex]x = 72 - 84[/tex]

[tex]x = - 12[/tex]

Answer:

True.

Step-by-step explanation:

The circumference is the perimeter of a circle. The complete path around the circle is called the circumference.

Answer:

True

The distance around the circle makes up the circumference.

Answer:

21

Step-by-step explanation:

since we are looking for the value of x, we make it the subject of the formula(stand alone) and to do that + 13 would have to cross over the equality sign.when a positive number crosses over the equality sign it changes to a negative number .

Therefore,x +13=34

x=34 -13

x=21(d)

Answer:

x = -0.5

Step-by-step explanation:

From your last step:

6.8x + 9.3 = -2.6 - 17x

We have two terms with x in them on different sides of the equation, so we want to bring the 'x terms' over to the same side.

Add 17x to both sides of the equation.

6.8x + 17x + 9.3 = -2.6

Collect like terms

23.8x + 9.3 = -2.6

Subtract 9.3 from both sides

23.8x = -2.6 - 9.3

23.8x = -11.9

Divide both sides by 23.8

x = -0.5