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Gemiola [76]
3 years ago
7

a) The table below shows the populations of several states (in millions) and the number of motor vehicle deaths in each. Complet

e the table by computing the number of motor vehicle deaths per capita (number of deaths per person) for each of the states. Express these in scientific notation rounded correctly to the hundredths place. Also, convert these values to the number of deaths 'Per 100,000 People' in standard notation rounded correctly to the tenths place. (Source: US Census Bureau ) State MV Deaths Population (million) Per capita (in SN) Per 100,000 People Indiana 693 6 1.155 x 10^-7 0.0001155 Illinois 911 12.4 Ohio 1021 11.35 8.996 x 10^-5 0.0 Michigan 871 9.9 Alaska 64 0.63 b) Which state has the worst rate? c) Which state has the best rate?

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
4 0
A.) The completed table is in the attached picture.
      Per capita calculation steps
      Step 1: Per capita = MV Deaths / Population
      Step 2: Convert to Scientific notation
      Step 3: Round-off to hundredths (2nd digit from the right of decimal place)
      Per 100K people calculation steps
      Step 1: Per 100K people = MV Deaths / Population * 100, 000
      Step 2: Round-off to tenths (1st digit from the right of decimal place)

B) I used my completed table (attached picture)
    Therefore, Indiana has the worst rate with 11.6 MV Deaths per 100K People

C) Again, I used my completed table (attached picture)
    Therefore, Illinois has the best rate with 7.3 MV Deaths per 100K People

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The center of a circle is the point (3, 2). if the point (6, −2) lies on this circle, find the standard equation for the circle.
garri49 [273]
Given 
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point on circle P(6,-2)

Standard equation of circle:
(x-x0)^2+(y-y0)^2=r^2

r=radius of circle
= (distance OP)
= sqrt((6-3)^2+(-2-2)^2)
=sqrt(3^2+(-4)^2)
=sqrt(25)

=> 
r^2=(sqrt(25))^2=25

Equation of circle
(x-x0)^2+(y-y0)^2=r^2
(x-3)^2+(y-2)^2=25   ............... standard equation of circle
5 0
4 years ago
Write an equation in standard form of an ellipse that has a vertex at (0, 6), a co-vertex at (1, 0), and a center at the origin.
Alekssandra [29.7K]

Answer:

The standard form of the equation of the ellipse is x² + y²/36 = 1

Step-by-step explanation:

* Lets revise the standard equation of the ellipse

- The standard form of the equation of an ellipse with  

 center (0 , 0) is  x²/b² + y²/a² = 1

where,

* the length of the major axis is 2a

* the coordinates of the vertices are (0 , ±a)

* the length of the minor axis is 2b

* the coordinates of the co-vertices are (±b , 0)

*  the coordinates of the foci are (0 , ± c),  where c² = a² - b²

* Now lets solve the problem

∵ The vertex of the ellipse is (0 , 6)

∴ a = 6

∵ The co-vertex is (1 , 0)

∴ b = 1

∵ the center is the origin (0 , 0)

∵ The standard form equation is x²/b² + y²/a² = 1

∴ x²/(1)² + y²/(6)² = 1 ⇒ simplify

∴ x² + y²/36 = 1

* The standard form of the equation of the ellipse is x² + y²/36 = 1

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2 years ago
Please solve and show your work <br> -3-2g=-12-5g <br> please show work
Marta_Voda [28]

Answer:

g =  - 3

Step-by-step explanation:

- 3 - 2g =  - 12 - 5g

<em>grou</em><em>ping</em><em> like</em><em> </em><em>ter</em><em>ms</em>

<em>- 2g + 5g =  - 12 + 3</em>

<em>3g =  - 9</em>

<em>divi</em><em>ding</em><em> </em><em>th</em><em>rough</em><em> </em><em>by</em><em> </em><em>3</em>

<em>\frac{3g}{g}  =  \frac{ - 9}{3}</em>

<em>g =  - 3</em>

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3 years ago
Classify the following triangle as acute, obtuse, or right.<br>O A. Acute<br>OB. Obtuse<br>C. Right​
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4 0
3 years ago
Filipo is building a rectangular sandbox . The length of the sandbox is 1 foot longer than twice the width of the sandbox .the p
Alla [95]

Answer:

Part A : D.) 2w + 2(2w+ 1) = 29

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length = 2w+1

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter = 2(2w+1)+2w

we have given the perimeter, so on substituting the value, we get;

29=2(2w+1)+2w

Hence The equation used to find the width is  29=2(2w+1)+2w.

Now we solve for 'w'.

Applying distributive property, we get;

4w+2+2w=29\\\\6w+2=29

Subtracting both side by '2' we get

6w+2-2=29-2\\\\6w=27

Dividing both side by 6 we get;

\frac{6w}{6}=\frac{27}{6}\\\\w=4.5\ ft

Width of the sandbox = 4.5 ft

Length of the sandbox = 2w+1=2\times4.5 +1 = 9+1=10\ ft

Hence Length of the sandbox is 10 feet.

3 0
3 years ago
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