Solve the following inequalities and give the solutions in both set and interval notations.

1 < 4x + 2 < 10

Answer:

a) The mode should be measured because the mode finds the number that occurs the most often.

b) The mean should be measured because the mean finds the average number of the data set by adding the all numbers given and dividing the sum by the number of values in the set.

c) The median should be measured because the median finds the middle value of the data set ordered from least to greatest.

a) A circle graph should be used because circle graphs visualize the proportions or percentages of the data.

b) Sorry, but I have no idea.

c) A bar graph should be used because bar graphs compare things between different groups.

Step-by-step explanation:

Answer:

In my opinion its a Ham Sandwich

Step-by-step explanation:

Because its eaten and preferred by most people

Answer:

45 degree

Step-by-step explanation:

Answer:

g(f(-1)) = 48

Step-by-step explanation:

given the following

f(x) = 5x² + 2

g(x) = x²-1

g(f(x)) = g(5x²+2)

Replace x with 5x² + 2 in g(x) as shown;

g(5x²+2) = (5x²+2))²- 1

g(f(x)) = (5x²+2))²- 1

g(f(-1)) = (5(-1)²+2))²- 1

g(f(-1)) = (5+2))²- 1

g(f(-1)) = (7)²- 1

g(f(-1)) = 49 - 1

g(f(-1)) = 48

9514 1404 393

Answer:

  78 in²

Step-by-step explanation:

The legs of an isosceles right triangle are the same length, so the figure is telling you the height of the parallelogram is 6.5 in. The area is ...

  A = bh

  A = (12 in)(6.5 in) = 78 in²

Answer:

[tex]\boxed {\boxed {\sf (4,3) \ is \ not \ a \ solution}}[/tex]

Step-by-step explanation:

If we want to test a solution, we can plug it into the equations and see if it checks out.

We are given the point (4,3). Since points are written (x,y)...

Substitute the values into the first equation.

[tex]11x+9y=17 \\11(4)+9(3)=17[/tex]

Multiply.

[tex]44+ 27=17\\[/tex]

Add.

[tex]71 \neq 71[/tex]

This does not check out, so we automatically know this point doesn't work. However, we can check the other equation.

[tex]x+y=7 \\4+3=7\\7=7[/tex]

Even though the second equation works, BOTH have to work because this is a system of equations. Therefore, (4,3) is not a solution.

Answer:

Step-by-step explanation:

z is a non negitave real number

Answer:

JKM IHF

Step-by-step explanation:

Those are outer obtuse angles

Answer:

∠JKM and ∠IHF are alternate exterior angles

Answer:

x=66

Step-by-step explanation:

A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x

Answer:

Option D

Step-by-step explanation:

We have that:

csc(x) = 1/sin(x)

Then:

csc(  tan(√(17)/8)^-1 )

To use the inverse tangent function, you can go to the "inv" button in your calculator, and then use go to the "tan" button.

This is equal to:

= csc( 27.26°)

= csc(27.26°)

= 1/sin(27.26°) = 2.18

And we know that:

(9*√17)/17 = 9/√17 = 2.18

Then the correct option is D.

Answer:

1/480

Step-by-step explanation:

rolling a 5 is 1/6

rolling a 5 is 1/8

rolling a 5 is 1/10

total probability= 1/6*1/8*1/10

= 1/480

Answer:

6x-x-2k+9k or the answer

Step-by-step explanation:

6x-x=-2k+9k

5x=7k

Answer:

Line 1: zero

Line 2: negative

Line 3: undefined

Line 4: positive

Step-by-step explanation:

Line 1 => slope is horizontal. The slope of horizontal lines are always equal to 0. Therefore, the slope of line 1 is zero.

Line 2 => the line slants downwards form our left to the right, this implies there is a decline or increase. Thus, the slope would be negative.

Line 3 => the line of a vertical line is always undefined. Line 3 slope is therefore undefined.

Line 4 => the slope slants upwards from our left to the right. This indicates a rising slope or an increase. Therefore, the slope of line 4 is positive.

Answer:

Step-by-step explanation:

hope it helps.....

have a great day!!

Answer:

6

Step-by-step explanation:

Answer:

The area of the triangular section is 12 square units. The area of the entire figure is  60  square units.

Step-by-step explanation:

The area of the triangular section is 12 square units and the area of the entire figure is 60 square units

The dimension of the triangular section is:

Base = 12 - 6 = 6 units

Height = 4 units

So, the area is:

Area = 0.5 * Base * Height

This gives

Area = 0.5 * 6* 4

Area = 12 square units

The area of the entire figure is then calculated as;

Area = Triangle + Rectangle

This gives

Area = 12 + 12 * 4

Evaluate

Area = 60

Hence, the area of the triangular section is 12 square units and the area of the entire figure is 60 square units

Read more about areas at:

https://brainly.com/question/24487155

Answer:  13kg potatoes=9.36    2.5 of carrots=155p

Step-by-step explanation:

potatoes 5kg=3.6  carrots .5kg=31p

value of each kg of potatoes is...

[tex]\frac{3.6}{5} =.72[/tex]  

so

[tex]13*.72=9.36[/tex]

value of each kg of carrots is...

31x2=62

so (I assumed when you typed 21/2 it meant 2 1/2 or 2.5)

2.5x62=155

The cost of 13 kg of potatoes is $ 9.36

The cost of  2 1/2 kg of carrots is $ 155p

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of 5 kg of potatoes be = $ 3.60

Let the cost of 1/2 kg of carrots be = 31p

Now , the equation is

The cost of 1 kg of potatoes = cost of 5 kg of potatoes / 5

                                               = 3.60 / 5

                                               = $ 0.72

So ,

The cost of 13 kg of potatoes is = 13 x cost of 1 kg of potatoes

                                                    = 13 x 0.72

                                                    = $ 9.36

Now , the equation is

The cost of 1 kg of carrots = cost of 1/2 kg of carrots x 2

                                            = 31 x 2

                                            = 62p

The cost of 2 1/2 kg of carrots is = 2 1/2 x cost of 1 kg of carrots

                                                      = 2 1/2 x 62

                                                      = 155p

Therefore , the cost of  13 kg of potatoes is $ 9.36 and cost of  2 1/2 kg of carrots is $ 155p

Hence ,

The cost of 13 kg of potatoes is $ 9.36

The cost of  2 1/2 kg of carrots is $ 155p

To learn more about equations click :

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#SPJ2

Answer:

The angle vertical to 64° is also 64°

The angle on the upper right side is 60°

The angle on the lower left side is 45°

Step-by-step explanation:

180 - 64 - 56 = 60°

180 - 64 - 71 = 45°

Answer:

The angle vertical to 64° is also 64°

The angle on the upper right side is 60°

The angle on the lower left side is 45°

Step-by-step explanation:

i just took the test

Answer:

B I belive

Step-by-step explanation:

Answer:

2y=4 is a linear function

Step-by-step explanation:

Since 2y=4 is the same as 2y¹=4, then a degree of 1 makes the function linear, aka. a straight line.

Answer:

107,501.0749574106

hope this number helps :)

Answer:

1075.01074957

Step-by-step explanation:

(489.2/ 234.8) 567 times 91

Hope this helps you.

D) $9150.73

Step-by-step explanation:

Simple compound irate =

principal*growth rate^years

or

V(t) = p*g^t

Where g = 100% + the given growth rate,

in this case, 5.2%

So,

V(8) = 6,100*1.052^8

V(8) = 9150.73

Answer:

Step-by-step explanation:

Remark

I take it you are studying the sine law. If that is so, Then it will be set up as

Formula

x/sin(53) = 7 / sin(44)     Multiply both sides by Sin(53)

Solution

Sin(53)x/Sin(53) = 7 sin(53)/Sin(44)

x = 7*Sin(53)/Sin(44)

x = 7 * 0.7986/0.6947

x = 8.0848

Note:

The sine law is always set up by 2 ratios. It consists of the sine of an angle divided by the side opposite = equal to another angle's sine over the side oppose the second angle.

The sine law can also be set up as two ratios side opposite / sin(Angle).

Answer:

y-25=180

Step-by-step explanation:

Same line so 180 degrees.

Answer: D or “y + 25 = 180”

a straight line is 180 degrees, therefore the combination of two angles should equal 180.

With that being said the answer should be y plus 25 = 180!

to find y, flip the equation: 180 - 25 = 155. Therefore y = 155 :)

happy to help! pls give me brainliest <3

Answer:

11. 4400

Step-by-step explanation:

11.

solution :

MP = RS 5500

Discount = 20%

SP = MP - D % of MP

= 5500 - 20 % × 5500

= 5500 - 1100

= Rs 4400

Answer:

It would be right skewed.

Step-by-step explanation:

As you can see, the graph gets smaller as it goes to the right.

PLZ GIVE BRAINLIEST

Answer:

radius

Step-by-step explanation:

The radius rotates about the center

Answer:

-4x² + 12x

Step-by-step explanation:

2x(x+7-1(3x+1)) = 2x(x+7-3x-1)

= 2x² + 14x - 6x² - 2x

= -4x² + 12x

Answer:

b

Step-by-step explanation: