If [tex] \rm log_{3}( |5 - 2x| ) > 4[/tex] then x lies in interval of :
i)
[tex] ( - 43 \: , \: 38)[/tex]
ii)
[tex]( - \infty \: , \: 38 ) \cup(43 \: , \: \infty )[/tex]
iii)
[tex]( - 38 \: , \: 43)[/tex]
iv)
[tex]( - \infty \: , \: - 43) \cup(38 \: , \: \infty )[/tex]
​

The IQR for male data is 10, the estimated difference between medians is 2, the box plot for males is symmetric and for females, the box plot is left side skewed.

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

From the box plot:

Part A:

IQR for males data:

IQR = Q3 - Q1

The estimated value of Q3 is 15 (between 10 and 20)

The estimated value of Q1 is 5 (between 0 and 10)

IQR = 15 -5 = 10

Part B:

= Median(male) - Median(femal)

= 10 - 8

= 2

Part C:

The box plot for males is symmetric and for females, the box plot is left side skewed.

Part D:

There can be holidays for the outliers

Thus, the IQR for male data is 10, estimated difference between medians is 2, the box plot for males is symmetric and for females, the box plot is left side skewed.

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Let's take this problem step by step:

To find the ordered pair of the system:

 ⇒ must set both equations equal to each other

     ⇒ solve for 'x'

Let's solve:

 [tex]x^2-2x+3=-2x+12\\x^2-2x+2x+3-12\\x^2-9=0\\(x+3)(x-3)=0[/tex]

Let's find the x-values:

 [tex](x+3)=0\\x=-3\\\\(x-3)=0\\x+3[/tex]

Let's find f(x)'s value for each 'x':

 [tex]x=-3\\f(-3)=-2(-3)+12=6+12=18\\\\x=3\\f(3)=-2(3)+12=-6+12=6[/tex]

Answer: (3, 6), (-3,18)

Hope that helps!

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The correct answer is option D which is the model will be

A = 13000( 0.72 ) [tex].^t[/tex].

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

Given that:-

The expression will be formed as:-

As we can see that the depreciation of the car per year is 28% so the amount of the car is decreased by 28 percent every year.

Now the remaining value of the car will be 100 - 28 = 78%. So the expression will be given as:-

A = 13000( 0.72 ) [tex].^t[/tex].

Therefore the correct answer is option D which is the model will be

A = 13000( 0.72 ) [tex].^t[/tex].

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Answer:

x = 3.16

Step-by-step explanation:

x * x = 10

[tex]x^2 = 10[/tex]

square root both sides

[tex]\sqrt{x^2} = \sqrt{10}[/tex]

[tex]x = \sqrt{10}[/tex]

x is appr. 3.16

Answer:

x=  √-10, √ 10

Step-by-step explanation:

Answer: 19/30 or about 63%

Step-by-step explanation: Add all your marble up so 6+4+5+15 to get the total amount of options or marbles in this case. Now find out how many red and blue marbles you have so 4+15 or 19 now you can divide the red and blue marbles by the total amount of marbles to get your percentage of pulling a red or blue marble from the bag.

Answer:.20

Step-by-step explanation:

According to what are written in the table the probability for x=-10 is .20

Answer:

Mean score for the class B is 66.66

Step-by-step explanation:

Mean : It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list.

Mean = sum of all numbers/ total numbers

Given,

mean score of class A = 34.

mean score of both the classes = 55

mean score of class a = sum of marks/total strength of class

                              34   = sum of marks/10

                             340 = sum of marks of class A

similarly,  Mean score of both classes

= ( sum of marks of class A and class B)/(total students in both classes)

= (340 + sum of marks of class B)/ 28  

55 =  (340 + sum of marks of class B)/ 28  

55 × 28 =  (340 + sum of marks of class B)

1540 - 340 = sum of marks of students of class B    

     1200    =  sum of marks of students of class B  

now to find Mean score of class B

sum of marks of students of class B / total students in class B

1200/18 = 66.66 answer  

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Answer:

x = 3

Step-by-step explanation:

6x + 7 = 9x - 2

-3x = -9

x = 3

Answer:

C and D.

Step-by-step explanation:

In option C, they are collecting data about the lengths of fish in a pond.

In option D, they are collecting data about people's favorite show.

Hope this helps!

If not, I am sorry.

Answer: The domain would be all real numbers.

Step-by-step explanation:

This is not a piecewise function, so it means that the domain, which means all possible x values, is all real numbers, not imaginary.

Answer:

[tex]-2\sqrt{3} +2\sqrt{15}[/tex]

Step-by-step explanation:

When we simplify this equation, we have to multiply the numbers outside the parenthesis with the the numbers inside the parenthesis. In this equation, we have to multiply [tex]\sqrt{12}[/tex] by [tex]-1[/tex] , getting the answer of [tex]-\sqrt{12}[/tex], which can be further simplified into [tex]-2\sqrt{3}[/tex]. Next, looking at [tex]\sqrt{12}[/tex] × [tex]\sqrt{5}[/tex], we get [tex]\sqrt{60}[/tex], which can also be simplified further into [tex]2\sqrt{15}[/tex]. Now, adding up these two numbers get [tex]-2\sqrt{3} +2\sqrt{15}[/tex].

[tex] \huge\underline{\underline{\boxed{\color{blueviolet}{ANSWER}}}}[/tex]

★ 15 trucks can carry 26,850 kg weight

★ We've to find the weight carried by one truck

[tex]\huge \pink {\overline{ \quad \quad \quad \quad \quad \quad \quad\quad \quad}}[/tex]

[tex] \sf{Number \: of \: trucks = 15 }[/tex]

[tex] \sf{Weight \: carried \: by \: one \: truck = \frac{26,850Kg}{15} }[/tex]

[tex] \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:= 1790Kg[/tex]

Therefore , the weight carried by one truck is 1790 kg

The shape of the cross-section resulting from the cut is rhombus.

A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.

Given:

object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.

Edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B.

Hence, the shape of the cross-section resulting from the cut is a rhombus.

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Answer:

C.  20 ≤ h < 30

Step-by-step explanation:

Median

The value in the middle of the data set when all the data values are placed in order of size.

As this is grouped data, we can only estimate the median.

Add an extra row to the table showing the Cumulative Frequency:

[tex]\begin{array}{|c|c|c|}\cline{1-3} \sf Height & \sf Frequency & \sf Cumulative\:Frequency \\\cline{1-3} \sf 0 \leq h < 10 & 1 & 1 \\\cline{1-3} \sf 10 \leq h < 20 & 9 & 10 \\\cline{1-3} \sf 20 \leq h < 30 & 7 & 17 \\\cline{1-3} \sf 30 \leq h < 40 & 13 & 30 \\\cline{1-3}\end{array}[/tex]

To find which class the median is in, divide the total number of data values by 2:

[tex]\implies \sf \dfrac{n}{2}=\dfrac{30}{2}=15[/tex]

Therefore, there are 15 values less than or equal to the median.

From the table, the 11th to 17th data values are in class 20 ≤ h < 30.  Therefore, the median must be in the 20 ≤ h < 30 class.

Answer:

C (look at explain!)

Step-by-step explanation:

Answer:

5. c = 8pi cm

6. c = 18pi ft

7. c = 8.6pi in

8. c = 11/2pi m

Step-by-step explanation:

The circumference of a circle can be easily found using the formula: c = [tex]\pi[/tex]d, where the diameter is d.

Now you just plug your numbers into the formula!

5. c = pi x d

   c = 8pi cm

6. This one gives you the radius instead of the diameter. All you need to do now is to double the radius to find the diameter.

     9 ft x 2 = 18 ft

   Now, it follows the formula.

   c = pi x d

   c = 18pi ft

7. c = pi x d

   c = 8.6pi in

8. c = pi x d

   c = pi x 2(2 3/4m) - Note that this is a mixed fraction. To be able to multiply it, you need to convert it to an improper fraction.

  c = pi x 2(11/4)

  c = pi x 11/2

  c = 11/2pi m

:)

Answer:

parallel

a quadrilateral can be a parallelogram only and only if pair of opposite sides are equal and parallel.

Answer:

Step-by-step explanation:

Total number of plants is p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.

Equation is mathematical statement formed when two algebraic expressions are equated using an equal sign.

It is given that  

Let p represent the original number of plants in her garden.

then  total number of plants in her garden =  p³ +2

the total number of plants if p = 3 is

=3³ +2

= 29

p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.

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Answer:

angle s = 22

angle r = 117

angle q = 41

Step-by-step explanation:

so all of the angles equal to 180 degrees in a triangle

so you add all of t he angles like this:

x+5x+7x+2x-3=180

collect all of the like terms,

8x + 4 = 180

subtract 4 from both sides, which leaves you with 8x = 176

divide both sides by 8 leaving x on its own.

x = 22

angle s = 22

angle r = (5x22)+7 which is 117

angles q = (2x22)-3 which is 41

Answer:

Step-by-step explanation:

12 becuase you have to read the equasion and do the problem

Answer + Explanation:

#1 Simplification:

(2x - 3) - (x - 4)

2x - 3 - x + 4

2x - x - 3 + 4

x + 1

#2 Factorization:

16 - 4x²

-4x² + 16

-4(x² - 4)

-4(x² - 2²)

-4(x + 2)(x - 2)

Step-by-step explanation:

95 95 branded to the nearest 10 with the number line

deter determine the two constructive multiples of 10 that bracket 95

9 is between 90 and 100

asteroid on the number line 95 is the midpoint between the 90 and 100

therefore 95 rounding to the nearest 10 is equal to 100

Answer: B. 55°

Step-by-step explanation: A single line is 180°. There are two of those lines that are both marked, meaning that they are equal. If this is true, then that must be the same for the other side. We would just have to find the angle for that.

180°- 125° = 55°

Therefore, the answer is B. 55°.

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Inequalities help us to compare two unequal expressions. The correct option is A.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The complete question is:

The sum of 16 and a number is less than 24. Which of the following inequalities expresses the solution?

x<8

x>8

x=8

x<-8

Given the sum of 16 and a number is less than 24. Let the number be represented by x, therefore,

16 + x < 24

x < 24 - 16

x < 8

Hence, the correct option is A.

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16.39492

Step-by-step explanation:

A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

A rate is known as the quantity measured with respect to another measured quantity. It refers to the comparison of a part to a whole.

It is also the measure of a part with respect to a whole or a proportion.

Therefore, a comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate

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The reflection is written as:

[tex]g(x) = -3*(1.5)^x[/tex]

And the graph can be seen below.

Here we have the function:

[tex]f(x) = 3*(1.5)^x[/tex]

A reflection across the x-axis is given by:

[tex]g(x) = -f(x).[/tex]

Then, replacing the function f(x) by the actual equation:

[tex]g(x) = -3*(1.5)^x[/tex]

The graph of the function g(x) can be seen below:

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If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

The standard exponential function is expressed as:

y = ab^x

The value of x determines the nature of a graph whether vertical or horizontal stretch.

If x  > 1, it is a vertical stretch

Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

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