Directions: Find the value of x.
​

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:

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:

change the negative to not domain and the zero to in domain

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:

$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:

Answer:

It has no real solutions.

Step-by-step explanation

Once you calculate the discriminant,  D= (-10)^2 -4 (8)(15), you simplify the expression to get D= -380, which has no real solutions.

Answer:

No solutions

Step-by-step explanation:

Quadratic equations are in the form of ax^2+bx+c, so a = 8, b= -10, and c = 15.

Use b^2 - 4ac to find the discriminant.

-10^2 - 4(8)(15) = -580

If a discriminant is < 0 then there are no real solutions to a quadratic equation. -580 < 0

Therefore, there are no real solutions

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:

1/3

Step-by-step explanation:

3×x=1

x= 1/3

Step-by-step explanation:

11m - 7m < 14 + 14

4m < 28

m < 28 / 4

m < 7

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:

1/2

Step-by-step explanation:

[tex]\dfrac{1}{3}\div \dfrac{2}{3}=\\\\\dfrac{1}{3}\times\dfrac{3}{2}=\\\\ \dfrac{3}{6}=\\\\\dfrac{1}{2}[/tex]

Hope this helps!

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

Step-by-step explanation:

Answer:

Step-by-step explanation:

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:

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:

Answer:

integers

rational numbers

real numbers

Step-by-step explanation:

i answered the question:)

Using number sets, it is found that the number -5 belongs to these following sets:

----------------------------------

Numbers are classified as:

----------------------------------

A similar problem is given at https://brainly.com/question/10814303

Answer:

Step-by-step explanation:

4-8 = -4

1-10 = -9

-4/-9 simplifies to 4/9

Answer:

52.48

Step-by-step explanation:

find the cross sectional area which is the triangle

triangle = 1/2 x 8.2 x 6.4 = 26.24

then, use the area to multiply by the extended length of 2

26.24 x 2 = 52.48

Answer:

Step-by-step explanation:

cot θ=-9.68

cotθ is negative

so θ lies in 2nd or 4th quadrant.

tan θ=-1/9.68

θ=tan ^{-1}(-1/9.68)≈174.1°,354.1°

3.

sec θ=-9.13+5=-8.13

sec θ is negative so θ lies in 2nd or 3rd quadrant.

cos θ=(-1/8.13)

θ=cos^{-1}(-1/8.13)≈97.1°

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

Answer:

Si

Step-by-step explanatio:

Answer:

idk

Step-by-step explanation:

hi

Answer:

Step-by-step explanation:

10,12,13,20, 21,

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:

3.75 hours (3 hours and 45 minutes)

Step-by-step explanation:

5 times 3/4 = 3.75

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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Step-by-step explanation:

The equation is

X + 10205 = 21894

X = 21894 - 10205

X = 11689

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]