The California Department of State Police keeps track of the number of points received for various traffic violations by drivers. The department is interested in examining the relationship between the number of points received and the insurance premium. Some information on the point category and the insurance premium category is given below:

Point category
Insurance premium category Low Medium High
Cheap 12% 38% 50%
Medium 29% 33% 27%
Expensive 29% 23% 27%

Which distribution is displayed in the above table?
a. The joint distribution of premium category and point category.
b. The marginal distribution of point category
c.The conditional distribution of premium category given point category
d. The conditional distribution of point category given premium category

Answer:

[tex]\theta=102.85^{\circ}[/tex]

Step-by-step explanation:

Given that,

The radius of circle, r = 7 cm

The area of sector, A = 44cm²

We need to find the angle of the sector. The formula for the area of sector is given by :

[tex]A=\dfrac{\theta}{360}\pi r^2[/tex]

Solve for [tex]\theta[/tex].

[tex]\theta=\dfrac{360A}{\pi r^2}\\\\\theta=\dfrac{360\times 44}{\dfrac{22}{7}\times 7^2}\\\\\theta=102.85^{\circ}[/tex]

So, the angle of the sector is equal to [tex]102.85^{\circ}[/tex].

Answer:

[tex]x=(x-3)(x+6)[/tex]

Answer:

145

Step-by-step explanation:

90+55=145

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point  A(3, 2) with respect to the line 2x + y - 12 = 0.​

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

[tex]C( \dfrac{x+3}{2}, \dfrac{y+2}{2})[/tex]

Also, product of slope will be -1 .( Since, they are parallel )

[tex]\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1[/tex]

x = 2y - 1

So, [tex]C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})[/tex]

Also, C satisfy given line :

[tex]2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}[/tex]

Also,

[tex]x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}[/tex]

Therefore, the symmetric points is[tex]A'(\dfrac{31}{5}, \dfrac{18}{5})[/tex] .

Answer:

At simple interest it will be 939+939×6×0.08=$1389.72.

Step-by-step explanation:

Answer:

it is an infinite discontinuity.

Step-by-step explanation:

Removable type of discontinuity does the function have at x = -4. Option  4 is correct.

If the limit of the function at the place of discontinuity exists and the value of the function exists, but they are not equal to each other, the discontinuity is removable.

We may eliminate the discontinuity by making the function's value equal to the function's limiting value at that time.

The given function is;

G(x)=x²+ 7x – (18/x)²+2x-8

G(-4)=(-4)²+7×(-4)- (18/-4)²+2(-4)-8

G(-4)=16-28-20.25-8-8

G(-4)=16-64.25

G(-4)=- -48.25

The given data on putting the value gives the negative values.

Hence, the removable type of discontinuity does the function have at x = -4

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On solving the problem we got that, 17yds and 11yds are its length and width​

The circumference of an item is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet.

length =L

width = W

length is 6 yd longer than its width,

L  =  6 + W

perimeter is 56yds:    

[tex]56= 2(L + W) \\ = > 68 = 2(6 + W) + 2W\\= > 12+ 2W + 2W = 56\\= > 4W = 44\\= > W = 11 yds\\= > L = 11+6 = 17 yds[/tex]

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Answer:

(a)  13.9 blocks (nearest tenth)

(b)  32.9 blocks (nearest tenth)

Step-by-step explanation:

The given scenario can be modeled as a right triangle.

If Amy walks south 7 blocks, one leg of the triangle is 7.

If Amy then walks west 12 blocks, the other leg of the triangle is 12.

To calculate the number of blocks Amy walks on her way home if she walks directly from school to her home, find the length of the hypotenuse of the right triangle.

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

Substitute a = 7 and b = 12 into Pythagoras Theorem and solve for c (hypotenuse):

[tex]\implies 7^2+12^2=c^2[/tex]

[tex]\implies 49+144=c^2[/tex]

[tex]\implies 193=c^2[/tex]

[tex]\implies c=\sqrt{193}[/tex]

[tex]\implies c=13.8924439894...[/tex]

Therefore, Amy walks 13.9 blocks (nearest tenth) on her way home.

To calculate the number of blocks Amy walks in one day for her round trip to school and back home, sum the side lengths of the right triangle:

[tex]\implies 7 + 12 + 13.9 = 32.9[/tex]

Therefore, Amy walks 32.9 blocks (nearest tenth) in one day for her round trip to school and back home.

The elements in matrix X is attached below

Matrix is a mathematical construct consisting of an array of numbers, symbols, or expressions, arranged in rows and columns. It is most often used to represent linear relationships between two or more variables. Matrices are commonly used in science and engineering to represent systems of equations and in computer programming for representing data and performing operations on it.

In this problem, we can easily find x by reversing the variables and solve.

A - X = B

X = A - B

The elements in the matrix can be solved easily using an online calculator.

The value of x is attached below

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Answer:

a and c are both congruent to each other i just learned about rhombuses the other day so if a and c are congruent then b and d are congruent too

Answer:

-sqrt(2)/2 , the last option of your document.

Step-by-step explanation:

sin(7pi/4) = -sin(7pi/4 - pi)

                = -sin(7pi/4 - 4pi/4)

                 = - sin(3pi/4)

sin(3pi/4) is a special angle , which is sqrt(2)/2

Hence, sin(7pi/4) = -sin(3pi/4)

                             = -sqrt(2)/2

Answer:

-sqrt(2)/2

Step-by-step explanation:

did the test

Answer:

A

Step-by-step explanation:

the sum of the two angles is 90 degrees

x + 52 = 90

x = 38 degrees

Answer

1/3

Step-by-step explanation:

Answer:

The question is not detailed enough

Answer:

In step 2, Nathan did not simplify 5x - 3x correctly.

Step-by-step explanation:

In step 2, Nathan was one number off the correct simplification.

Answer:

The [tex]\sqrt{25}[/tex]= 5

Step-by-step explanation:

[tex]\boxed{\huge\textsf{\boxed{\frak{Hey \ there!}}}}[/tex]

[tex]\bullet\large\textsf{ To find out the range you have to find the difference between the}\\\large\textsf{maximum and the minimum.}[/tex]

[tex]\bullet \large\textsf{ Reminder: the word difference in mathematics simply means subtract.}\\\large\textsf{So, if your teacher/anyone asks you what does it mean in math, tell}\\\large\textsf{them it is another word for subtraction.}[/tex]

[tex]\bullet\large\textsf{ The formula is: \underline{maximum} - \underline{minimum} = \boxed{\bf range}}[/tex]

[tex]\bullet \large\text{ Whereas, the MAXIMUM IS the GREATER/LARGER NUMBER.}\\\large\text{\& MINIMUM IS the LESS/SMALLER NUMBER.}[/tex]

[tex]\boxed{\star}\large\textsf{ Okay now lets answer your question }\boxed{\star}[/tex]

[tex]\square\large\text{\underline{ MAXIMUM}: \boxed{\bf 21}}[/tex]

[tex]\square\large\text{\underline{ MINIMUM:} \boxed{\bf 15}}[/tex]

[tex]\huge\textsf{21 - 15 = \boxed{your \ range}}[/tex]

[tex]\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}[/tex]

[tex]\huge\textsf{21 - 15}[/tex]

[tex]\huge\textsf{= 6}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: range = \bf 6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}[/tex]

Answer:

2.98

Step-by-step explanation:

Hi there!

[tex]\large\boxed{x = 26}[/tex]

x + 17 = 43

Isolate for x by subtracting 17 from both sides:

x + 17 - 17 = 43 - 17

x = 26

Answer:

x=26

Step-by-step explanation:

x+17=43

-17. -17

x= 26

On solving the provided question, we can say that  on matching the expressions are 100X 14 = 1400 and 14(10) = 140 and 361 . 100 = 36100 and 100(361) = 36100

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

so, on matching the expressions are

100X 14 = 1400

14(10) = 140

361 . 100 = 36100

100(361) = 36100

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Answer:

Subtract 7.4 – 3.6

Answer:

Subtract 7.4-3.6

Step-by-step explanation:

Pemdas

Answer: The equation y = 53+2x relates the variables x and y, where x represents the number of days the crew has worked and y represents the total length of the road.

The change per day in the road's length is given by the coefficient of x in the equation, which is 2. Thus, the change per day in the road's length is 2 miles.

The road's length when the crew started working is given by the constant term in the equation, which is 53. Thus, the road's length when the crew started working was 53 miles.

Step-by-step explanation:

9514 1404 393

Answer:

  4 1/6 miles per hour

Step-by-step explanation:

6 minutes is 1/10 hour, so Sara's speed is ...

  speed = distance/time

  speed = (5/12 mi)/(1/10 h) = 50/12 mi/h

  speed = 4 1/6 mi/h

Sara's speed is 4 1/6 miles per hour.

Answer:

The ratio of the number of quarters to the number of dimes in the box is 9:10

Step-by-step explanation:

shdudbdhxbdhxbsbdyshs

Answer:

C 3674cm²

Step-by-step explanation:

1) (34×15)×2= 510×2= 1020cm²

2) (28×15)×2= 420×2= 840cm²

3) (34×28)×2= 952×2= 1904cm²

4) Total of all areas (surface area): 1020+840+1904= 3764cm²

Answer:

[tex] \sin(30) = \frac{y}{2 \sqrt{2} } \\ \\ < = > \frac{1}{2} = \frac{y}{2 \sqrt{2} } \\ < = > y = \frac{2 \sqrt{2} }{2} \\ \\ < = > y = \sqrt{2} [/tex]

Answer:

y= √2

Step-by-step explanation:

sin 30°= y/2√2

1/2= y/2√2

y=√2

Answer:

14. 1/13

15. 14/15

16. 1/13

17. 15/30=1/2

18. 12/13

19. 12/15

If you are happy with my answers, please give brainliest :)

Answer:

$53

Step-by-step explanation:

You can just substitute the values in the equation

The amount Eric saves this weekend is $53.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

Sandwiches= $10

Order delivery= %14

Now,

To find how much money he saves this weekend, you need to substitute s = 5 and d = 4 into the expression and simplify. Here are the steps:

1/2(10s + 14d)

= 1/2(10(5) + 14(4))

= 1/2(50 + 56)

= 1/2(106)

= 53

Therefore, by the expression the answer will be $53.

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Answer:

he is not correct

correct answer is -5.61

Step-by-step explanation:

he added them together but did not account for the negative in the second term

Answer:

they are not correct because 7.15 + (-12.76) equals −5.61 not 19.91

Step-by-step explanation:

hope this helps