A security system company wants to know whether there are differences in the time of day of residential and commercial burglaries. They read the records from a randomly selected sample of 60 6060 of the 830 830830 residential burglaries and 60 6060 of the 447 447447 commercial burglaries in the past year from their town database. Suppose that 65 % 65%65, percent of the residential burglaries and 31 % 31%31, percent of the commercial burglaries happened during the day. The company plans to look at the difference ( p ^ R − p ^ C ) ( p ^ ​ R ​ − p ^ ​ C ​ )left parenthesis, p, with, hat, on top, start subscript, start text, R, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, C, end text, end subscript, right parenthesis between the proportions of daytime burglaries in each sample

Step-by-step explanation:

f(x) = 3x2+2x-3

g(x) = -x+4

(g.f)(x) = g[3x2+2x-3]

           = -(3x2+2x-3)+4

           = -3x2-2x+3

(g.f)(1) = -3(1)2-2(1)+3

           = -3-2+3

           = -2            

Answer:The square below represents one whole.

What percent is represented by the shaded area?

Step-by-step explanation:

Answer:

Answered below

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

You need 2 coordinates from your graph as long as the line you have is completely straight. You have 2 points it is (0,3) & (8,0)

So your y2 is 0

y1 is 3

So your x2 is 8

x1 is 0

Plug in and solve (keep in mind you should be expecting a negative slope since your line is sloping downwards as you advance to the right.

m = (0-3)/(8-0)

m = -3/8

m = slope = -3/8x = -0.375x

Slope is given as a number followed by value x

Answer:

9p⁸ + 12p⁴q⁴ + 4q⁸

Step-by-step explanation:

(3p⁴ + 2q⁴)²​ ⇒ The square of (3p⁴ + 2q⁴)

Squares are such bases that multiply itself two times.

⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)

Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)

⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)

⇒ (9p⁸ + 12p⁴q⁴ + 4q⁸) = 9p⁸ + 12p⁴q⁴ + 4q⁸

We know the identity

So

[tex]\\ \rm\Rrightarrow (3p^4+2q^4)^2[/tex]

[tex]\\ \rm\Rrightarrow (3p^4)^2+(2q^4)^2+2(3p^4)(2q^4)[/tex]

[tex]\\ \rm\Rrightarrow 9p^8+4q^8+12p^4q^4[/tex]

Done

47 lbs      

hope this helps

Answer:

this is a transformation of the function meaning f(x) is our base f(x+2) is a transformation of f(x) by 2

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

given f(x) then to find f(x + 2)

substitute x = x + 2 into f(x)

Answer:

if 5=70

  2=?

cross multiply=28

add  70+28=98          

Step-by-step explanation:

Answer:

C. 16(0.5x - 0.75y + 2) = 8x - 12y + 32

Step-by-step explanation:

Answer:

Yeah I got the answer

Step-by-step explanation:

C option is correct

We will have to take common like this

. 16(0.5x - 0.75y + 2) = 8x - 12y + 32

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

Exact area = 272 - 28.125pi  square cm

Approximate area = 183.6875 square cm  (when using pi = 3.14)

=======================================================

Explanation:

The trapezium has the parallel sides of 12+13 = 25 cm and 15 cm. Those vertical sides average to (25+15)/2 = 40/2 = 20. Multiply this with the height of the trapezium to get 20*24 = 480 sq cm as the area.

You could also use this trapezium area formula

A = h*(b1+b2)/2

A = 24*(25+15)/2

A = 480

Whichever method you use, the trapezium has an area of exactly 480 square cm.

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

The paralellogram has base of 13 and height of 16, so its area is base*height = 13*16 = 208 sq cm

The semicircle has area of 0.5*pi*r^2 = 0.5*pi*7.5^2 = 28.125pi square cm. Notice that I used r = 7.5 which is half of the diameter 15 cm.

The parallelogram and semicircle areas add to 208+28.125pi

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

Subtract this from the area of the trapezium to wrap things up

480 - (208+28.125pi)

480 - 208 - 28.125pi

272 - 28.125pi

This is the exact area of the blue shaded region in terms of pi

To get the approximate area, replace pi with something like 3.14 and compute.

So 272 - 28.125pi = 272 - 28.125(3.14) =  183.6875 is the approximate area when pi = 3.14

Use more decimal digits of pi to get a more accurate value.

The respiratory system and the cardiovascular system are intertwined in the sense that the  respiratory system provides oxygen used in the cardiovascular system.

The respiratory system is the syetem that coordinates gaseous exchange in the body while the cardiovascular system is the system that deals with the circulation of gases in the body.

The cardiovascular system and the respiratory system work together in the following ways;

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Answer:

3

Step-by-step explanation:

8x-6>12+2x

-2x            -2x

_______________

6x-6 >12

   +6    +6

____________

6x > 18

/6      /6

____________

x > 3  

Hope this helps :)

The solution to the inequality  8x - 6 > 12 + 2x is, 3.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality 8x - 6 > 12 + 2x.

Separating the variable and constants to the other sides we have,

8x - 2x > 12 + 6.

6x > 18.

x > 3.

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Answer:

Step-by-step explanation:

The total amount of lemonade Regan sells is 69/16 gallons and this can be determined by using the arithmetic operations.

Given :

   Mark sold 2 7/8 gallons of lemonade.

   Regan sold 2/3 as much lemonade as Mark.

The following steps can be used in order to determine the total amount of lemonade Regan sells:

Step 1 - The arithmetic operations can be used in order to determine the total amount of lemonade Regan sells.

Step 2 - According to the given data, Mark sold 23/8 gallons of lemonade.

Step 3 - Let the total amount of lemonade Regan sells be 'x'.

Step 4 - So, the value of 'x' can be calculated as:

x = 23/8 × 3/2

x = 63/16

The total amount of lemonade Regan sells is 69/16 gallons.

Answer:

Part A is ≤ means less than OR equal to. < only means less than

Part B is 9

Step-by-step explanation:

A: Because it would equal 19, and 19 is equal than 19. 4(5) - 1 would equal 19, which is equal to 19, and not less than. ≤ means less than or equal to. < means less than. So its not true.

B: 47 - 2, 45. Then 5 x 9 equals 45. So 5 x 9 equals 45, then add 2 would equal 47.

Answer:

  1161

Step-by-step explanation:

We can solve this using what we know about multiples of 3 and 5. Multiplying the first number by 3 will give the value ...

  1?? × 3 = 38? . . . . where ? is an unknown digit

The two least significant digits in the first number must be ones that give 80-something when multiplied by 3. They will be between 80/3 = 26 2/3 and 90/3 = 30. The requirement that the least significant digit be odd* means the choices are 27 or 29.

When the first number is 127, its triple is 381. The 1 in the least significant digit is disallowed by the requirement that the 9 digits of these numbers be unique. (127 already has 1 as its most-significant digit.)

So, the first number is 129, making the second number be 3×129 = 387, and the third number be 5×129 = 645.

The numbers have the ratios ...

  129 : 387 : 645 = 1 : 3 : 5 . . . . . . . as required.

We note that the digits 1–9 are used exactly once each, as required.

The sum of the numbers is 1161.

_____

* Only odd numbers will give a product that ends in 5 when they are multiplied by 5. The requirement that the third number have a ones digit of 5 means the ones digit of the first number must be odd.

Answer:

Step-by-step explanation:

Isolate the term of p from one side of the equation.

First, multiply by 7p from both sides.

-2*7p=6/7p*7p

Solve.

-14p=6

Then, you divide by -14 from both sides,

-14p/-14=6/-14

Solve.

p=-3/7

Dividing is another option.

-3/7=-0.42

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

36.

Step-by-step explanation:

100 - 40 = 60%  of heads.

60% = 0.60.

60 * 0.60 = 36.

Answer:

$92

Step-by-step explanation:

How much time do seniors at a school spend playing sports? (option A)  is a statistical question.

A statistical question is a question that can be answered by collecting and analyzing data using statistical methods. It is a question that requires more than just a single numerical answer, and instead, involves variability or variation in the data.

In a statistical question, the data can come from a sample or a population, and the goal is to use the data to draw conclusions about the larger group. Statistical questions often begin with words such as "how many," "how much," "what is the average," "what is the distribution," and "what is the relationship between."

A statistical question is a question that can be answered by collecting data and analyzing it using statistical methods. Based on this definition, option A is the statistical question as it involves collecting data (i.e., the amount of time seniors spend playing sports) that can be analyzed using statistical methods.

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Answer:

[tex]=12\sqrt{15} -40\sqrt{5}\\[/tex]

Step-by-step explanation:

[tex](2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )[/tex]

[tex]=6\sqrt{60} -10\sqrt{80}[/tex]

[tex]=6\sqrt{4(15)} -10\sqrt{16(5)}[/tex]

[tex]=6(2)\sqrt{15} -10(4)\sqrt{5}[/tex]

[tex]=12\sqrt{15} -40\sqrt{5}[/tex]

Hope this helps

Answer:

2 white roses.

A dozen is 12.

12-10 red roses = 2 white roses

Step-by-step explanation:

Answer:

she used 2 white rose

Step-by-step explanation:

12 is a dozen so 12-10 is 2 white roses

Hope this helps :)

Answer:

Step-by-step explanation:

Answer:

A. 8 1/4 - 3 2/5 - (2 1/3 - 1/4) = 83/30 = 2  23/30 ≅ 2.7666667

B. 5

Answer:

greater probably i am guessing its just a guess it also could be lower i dont know the question isnt clear

Answer:

  $304.15

Step-by-step explanation:

The amount of interest earned can be found from the formula ...

  I = P((1 +r)^t -1)

  I = $815((1 +0.05)^6.5 -1) ≈ $815(0.373189) ≈ $304.15

Virgil's account will have earned about $304.15 in interest in 6.5 years.

The feasible region which is shown is the graph of is of the solution of  inequalities y<4,x>=0,x<4 and y>=1. which is option C.

An inequality is like an equation but is expressed in greater than ,less than, greater than or equal to, less than or equal to signs. It is equated to find the range of variables.

The given graph has three lines showing different inequality.

One which is parallel to x axis and present at y=4 is doted and because the region from this line is towards origin so the sign between y and 4 is of < sign and we don't use equal to sign as it is doted. The inequality will be y<4

Other line is also parallel to x axis at y=1 but it is not doted and the region shaded is away from the line and origin so we use > than sign and equal to sign. The inequality will be y>-1.

The solution lies in first quadrant so x>=0.

One line is parallel to y-axis at x=4 and because the solution is towards origin so we will use <=0 sign as it is not dotted also.

Hence the inequalities are y<4,x>=0<x<4, y>1.

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Answer:

Step-by-step explanation:

Answer:

3.25 x 10^-4

Step-by-step explanation: mark brainliest

Answer:

85.3

Step-by-step explanation:

The Total number of students = 36. Add all the values but don't forget how much of that value there is. so for the score of 70, you would multiply that by 6 because that's how much students got it.

Answer:

Option one and option 2

Step-by-step explanation:

Only ones that have 1 solution, option 3 and 5 have no solution, option 4 has infinetly many.

Yes they would be perpendicular.