Find the median and mode of the following data:
a) 5, 9, 3, 4, 9, 2, 1, 3, 6.
b) 60, 67, 62, 61, 63, 65, 64, 68, 60.

Answer:

x=8 and is not extraneous

Step-by-step explanation:

2(x-5)+11=17

2x-10+11=17

2x+1=17

2x=17-1

2x=16

x=8

extraneous means it is a solution, but it is not possible in the equation, to determine if it is extraneous, plug it in to the original equation

2(8-5)+11=17

2(3)+11=17

6+11=17

17=17

since it works in the orignial equation it is not extraneous

The solution to the equation 2(x - 5) + 11 = 17 is x = 8

From the question, we have the following parameters that can be used in our computation:

2(x - 5) + 11 = 17

When the like terms are evaluated, we have

2(x - 5) = 6

Divide through the equation by 2

x - 5 = 3

So, we have

x = 3 + 5

Evaluate

x = 8

Hence, the solution to the equation is x = 8

Read more about equation at

https://brainly.com/question/32583193

#SPJ3

Step-by-step explanation:

this creates 2 similar triangles.

that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

her shadow is 23.05 - 18.9 = 4.15 m long.

the factor between the shadow lengths is then

4.15 × f = 23.05

f = 23.05 / 4.15 = 5.554216867...

the same factor now applies to the relation of the heights :

1.45 × 5.554216867... = 8.053614458... m

rounded the tree is 8.05 m tall.

Answer:

x=3

Step-by-step explanation:

Answer:

so first you add something and then subtract and then divide then you er butf then youcan see toplod ej

Answer:

(-4,2)

Step-by-step explanation:

See attachment

Answer:

y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (5, 7 ) , then

y = a(x - 5)² + 7

To find a substitute (10, - 3 ) into the equation

- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )

- 10 = 5²a = 25a ( divide both sides by 25 )

[tex]\frac{-10}{25}[/tex] = a , that is

a = - [tex]\frac{2}{5}[/tex]

y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7 ← in vertex form

Answer:

slope = 2

Step-by-step explanation:

Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:

(-2, -1) and (0, 3)

Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a rise of 4. The x went from -2 to 0, so that is a run of 2. "rise over run" means rise literally over run in a fraction like this:

[tex]m=\frac{rise}{run}[/tex]

The more proper way to calculate slope looks like this, but it's really the same thing in the end:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

where (x1, y1) and (x2, y2) are your 2 points.

Finally, the slope of this line is:

[tex]m=\frac{3--1}{0--2}\\\\m=\frac{4}{2}\\\\m=2[/tex]

That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.

Answer: many solutions

Step-by-step explanation:

Step-by-step explanation:

area of ∆ is 10in².

hope this helps you.

By applying the Pythagorean theorem, we will find that the length of the other leg of the right triangle is 40.7 yards.

If for right triangle we define A and B as the length of the two legs, and H as the length of the hypotenuse, the Pythagorean theorem says that:

A^2 + B^2 = H^2

Here we know that:

A = 14 yd

H = 43 yd

And we want to find the other leg, then we can replace that in the equation to get:

(14yd)^2 + B^2 = (43yd)^2

B = √( (43yd)^2 - (14yd)^2) = 40.7 yd

So the other leg length is 40.7 yards.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Answer:

No

Step-by-step explanation:

A function cannot have two different points with the same x-coordinate. For instance in this one, (0,3) & (0,8) share the same value of x

Answer:

its b

Step-by-step explanation:

Answer:

The answer would be $67.2.

Step-by-step explanation: The answer would be $67.2. Take 80, divide it by 100 to get 1% of 80, 0.80. Now since you are taking 16% off the original price (100%), you multiply 0.80 (1%) by 84 (for 84% price), to get $67.2. This means, after the markdown, the 80$ item is now $67.2

Answer: 0.0016

Step-by-step explanation:

5^3 = 125

5^-7 = 0.0000128

125 * 0.0000128 = 0.0016

Answer:

10080.000

Hope this helps you! Happy holidays

Answer: 15.54 Km

Step-by-step explanation:

740*21 = 15,540 = 15.54 Km

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Answer:

C.$0.60

hope this help!!!!!!!!!!!!!!!!!!!!!!

Answer:

Step-by-step explanation:

Conclusion:

Therefore:

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

3x+y=4

Explanation:

Standard form is Ax + By = C

Answer:

30 parks

Step-by-step explanation:

9÷0.3=30 parks

Answer: Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y

Step-by-step explanation: Let

x------> the number of nickels in the box

y------->the number of dimes in the box

we know that

so

Multiply by  both sides

-----> inequality that represent the situation

The solution of the inequality is the shaded area above the dashed line for positive values of x and y

The equation of the dashed line is

therefore

the answer is

Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y

the answer is: y = 3x + 1

P/s: i can't see the picture clearly but the answer is not A or C

ok done. Thank to me :>

Answer:

I believe 1.) is x=y-4/2 and 2.) x=y-4/2 as well

Step-by-step explanation:

1.)

y=2x+4

-subtract 4 on both sides-

y-4=2x

-divide 2 on both sides-

x=y-4/2

2.)

y=2(x+2)

-distribute the 2-

y=2x+2

-subtract 2 on both sides-

y-2=2x

-divide 2 on both sides-

x=y-2/4

I dont know exactly if this is correct, but i hope it helps! :)

Answer:

14

Step-by-step explanation:

Percentage increase =

2% × 700 =

2 ÷ 100 × 700 =

2 × 700 ÷ 100 =

1,400 ÷ 100 =

14

Answer:

Step-by-step explanation:

In order to use a percent in the math work, it must be changed to a decimal, so instead if 2% use .02

700 × .02 = 14

14 is the amount of the increase, so it must be added onto the strarting amount.

700 + 14 = 714

A different way to do this is to say the new amount will be all of the original amount (100%) and also the increase (2%) So in just one step we can calculate th new amount

700 × 1.02 = 714

714 is the price now.

Answer:

2550-2500 = 5025% percent increase.

Step-by-step explanation:

Answer: 2%

Step-by-step explanation:

2500 X 1.02 = 2,550

Answer:

The solution to this equation is x=3

Step-by-step explanation:

Answer:

x > - 1

Step-by-step explanation:

- 10 < x - 9 ( add 9 to both sides )

- 1 < x , therefore

x > - 1

Answer:

x > -1

Step-by-step explanation:

why:

-10  < x-9         for exemple 2< 3

x-9  > -10                 3 > 2      

just add 9 to both sides

x-9 +9 > -10 +9

x > -1

meth2

x-9  > -10  

x > -10 +9       left  to right

x> -1

Answer:

3

Step-by-step explanation:

To solve f(-1), entails to replace x by -1 in the function

f(-1)= (-1)^2 - (-1)+ 1

= 1 + 1 + 1

= 3

Answer:

A = 4 cm²

Step-by-step explanation:

The area of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

b = AC = 3[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]

h = BD

Calculate BD using Pythagoras' identity in Δ ABD

BD² = AB² - AD²

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

     = 20 - 18 = 2 ( take square root of both sides )

BD = [tex]\sqrt{2}[/tex]

Then

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 4 cm²

Answer:

z/k + 8 = x

Step-by-step explanation:

z=(x-8)k

Divide both sides by k

z/k = x - 8

Add 8 to both sides

z/k + 8 = x

Answer:

2 hours; $130

Step-by-step explanation:

We can do this by setting up an equality since we are finding when they are the same. Say x is the number of horus:

65 * x = 60 + 35* x

30 * x = 60

x = 2 hours

The cost will be the same at two hours, and plugging it in, we can get 65*2=130.