A data set consists of 6 different whole numbers. The difference between the largest value and the smallest value is 21 and the median is 40. What is the largest possible mean of this data set?

Answer:

19.04%

Step-by-step explanation:

The temperature decreases from 21°C to 17°C.

We need to find the percentage decrease in the value of temperatures.

The percentage decrease in any value is given by :

[tex]\%=\dfrac{|\text{initial value-final value}|}{\text{initial value}}\times 100\\\\=\dfrac{21-17}{21}\times 100\\\\=19.04\%[/tex]

So, the required percentage decrease is 19.04%.

9514 1404 393

Answer:

  12 cm

Step-by-step explanation:

The distance to the chord is the median of an isosceles right triangle with hypotenuse 20 and leg 16. This 5:4 ratio suggests the other leg of that right triangle would make the ratios 3 : 4 : 5, so is 12.

The chords are 12 cm from the center.

_____

You can, of course, use the Pythagorean theorem. If c is half the chord length and d is the distance to the chord, you have ...

  c² + d² = r²

  16² + d² = 20²

  d² = 400 -256 = 144

  d = √144 = 12 . . . . . cm

Answer:

11.12 %

Step-by-step explanation:

Given that,

There are 90 early admission tickets.

There are 810 regular tickets.

We need to find the percentage of the tickets sold were early-admission tickets.

[tex]P=\dfrac{90}{810}\times 100\\\\=11.12\%[/tex]

So, the required percentage is 11.12 %.

Answer:

Step-by-step explanation:

Use triangle inequality theorem, which states

"The sum of the lengths of any two sides of a triangle is greater than the length of the third side."

The sum of two sides compared to the remaining side:

The sum of two sides is equal to the third side. This makes it impossible to make a triangle. Therefore the answer is no.

Answer:

2.5 hours

Step-by-step explanation:

We are given that

Original height of candle=5 in

Every hour candle loses =8% of 5 in=0.4

According to question

[tex]5-0.4x>4[/tex]

Subtract 4 from both sides we get

[tex]5-4-0.4x>0[/tex]

[tex]1-0.4x>0[/tex]

[tex]-0.4x>-1[/tex]

[tex]0.4x<1[/tex]

Divide by 0.4 on both sides

[tex]x<\frac{1}{0.4}[/tex]

[tex]x<2.5[/tex]

x=2.5 hours

Until the candle has been burning for at least 2.5 hours, the height of her candle will be more than four inches.

Answer:

43

Step-by-step explanation:

18 + 4x - 3

18 + 4(7) - 3

18 + 28 - 3

46 - 3

43

You will plug 7 in the x place since x = 7. Hope this helps, thank you !!

Answer:

18 + 28-3 is 43.

Step-by-step explanation:

4x7 28 that's how I did it

Answer:

A

Step-by-step explanation:

[tex] \sin(60) = \frac{13 \sqrt{ 3 } }{x} \\ x = \frac{13 \sqrt{3} }{ \sin(60) } = 26 \\ \cos(60) = \frac{y}{26 } \\ y = 13[/tex]

Answer:

Rotational symmetry of Order : 6

Step-by-step explanation:

Rotational symmetry of Order : 6

When you rotate the picture and it match the original shape 6 times.

Answer:

x>−5

Step-by-step explanation:

5 (2 cups of vinegar+ 2 cups of baking soda = 5 cups of fizzy mess)

or 4

Answer:

boys=30 girls=25

Step-by-step explanation:

if you add 6 and 5 and then you would get 11. 55 divided by 11 is 5. so then we would do 6*5 and 5*5 thats how i got my answer.

sorry if it's not correct

Answer:

39/2 π ft^2

Step-by-step explanation:

2(13)(270)/360

Answer:

10395

Step-by-step explanation:

[tex]9828 \div 4 \div 13 = 189[/tex]

[tex]189 \times 11 \times 5 = 10395[/tex]

Answer:

945

Step-by-step explanation:

9828 divided by 13 = 756

756 divided by 4= 189

189 x 5= 945

945 x 11= 10,395

Your welcome

Answer:larger ,smaller

Step-by-step explanation:

Answer:

larger, smaller

Step-by-step explanation:

on aoex

Answer:

[tex]2 {x}^{3} + 11{x}^{2} - 25x - 28[/tex]

Step-by-step explanation:

Using foil method, Multiply the first term

[tex]2 {x}^{2} \times x = 2 {x}^{3} [/tex]

Next, Multiply the Outer term in each parenthesis. (2x^2 and 7

[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} [/tex]

[tex] 2 {x}^{2} \times 7 = 14 {x}^{2} \: \: \: 3x \times - x = - 3x[/tex]

Then, Multiply the Inner Terms (-3x,-4,7) in each parenthesis

[tex] - 3x \times 7 = - 21x[/tex]

[tex] - 4 \times x = - 4x[/tex]

Then multiply the last term (-4 and 7).

[tex] - 4 \times 7 = - 28[/tex]

Combine it you have

[tex]2 {x}^{3} + 14 {x}^{2} - 3 {x}^{2} - 21x - 4x - 28[/tex]

which simplify to

[tex]2 {x}^{3} + 11 {x}^{2} - 25x - 28[/tex]

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

[tex] = \tt \: x + x - 9 + 4x = 105[/tex]

[tex] = \tt2x + 4x - 9 = 105[/tex]

[tex] = \tt 6x - 9 = 105[/tex]

[tex] = \tt6x = 105 + 9[/tex]

[tex] = \tt6x = 114[/tex]

[tex] = \tt x = \frac{114}{6} [/tex]

[tex] = \tt x = 19[/tex]

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Answer:

Let the money with Miguel be x.

Then :

Money with Kira = x - 9

Money with Charlie = 4x

Total money in their wallet = $105

This can be written in an equation as :

= \tt \: x + x - 9 + 4x = 105=x+x−9+4x=105

= \tt2x + 4x - 9 = 105=2x+4x−9=105

= \tt 6x - 9 = 105=6x−9=105

= \tt6x = 105 + 9=6x=105+9

= \tt6x = 114=6x=114

= \tt x = \frac{114}{6}=x=

6

114

= \tt x = 19=x=19

Which means :

Money with Miguel = $19

Money with Kira :

= 19 - 9

Thus, Kira has $10 in her wallet.

Money with Charlie :

= 4 × 19

= 76

Thus, Charlie has $76 in his wallet.

Therefore,

Money with Kira = $10

Money with Charlie = $76

Money with Miguel = $19

Answer:

y=2/3x+4

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

I solved for x by simplifying both sides of the equation, then isolating the variable.

Hope this helps:)

Answer:

Step 1: Simplify both sides of the equation.

x−12=−32+55

x+−12=−32+55

x−12=(−32+55)(Combine Like Terms)

x−12=23

x−12=23

Step 2: Add 12 to both sides.

x−12+12=23+12

x=35

Answer:

x=35

Answer:

S is also 13

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The incenter is the point where all of the angle bisectors meet in the triangle

Using that definition, since point S is the incenter, we know segments RS and SQ are congruent.

1. We can use the Pythagorean Theorem to solve for segment RS first.

a^2+b^2=c^2      or           MR^2+RS^2=MS^2

12^2+b^2=13^2

144+b^2=169

b^2=169-144

b^2=25

b=5                    or                  RS=5

Since segment RS is congruent to segment SQ, SQ=5

Answer:

65.42 is your answer

Step-by-step explanation:

Answer:

no :)

jk

65.42

Step-by-step explanation:

Answer:

A. 3/2

Step-by-step explanation:

To find the lenght of the side opposing the 30° angle, you need to use trigonometry, since it's a right-angled triangle. You have your 30° angle and you have the side beside : therefore, you can use the sine :

sin(30) x 3 = ?

0,5 x 3 = ?

1,5 = ?

1,5 = 3/2

Answer:

a) 148°

b) 35.35 cm squared

Step-by-step explanation:

a)

[tex]\alpha =2tan(\frac{14}{4} )^{-1} =148[/tex]

b)

[tex]A=4*14-\frac{\pi 4^{2}*148 }{360} =35.35cm^{2}[/tex]

Answer:

Let's solve your equation step-by-step.

−4(x−5)=92

Answer:

x=−18

Step-by-step explanation:

Answer:

x = 28

Step-by-step explanation:

4 ( − 5 ) = 9 2

4 − 2 0 + 2 0 = 9 2 + 2 0

4x =112

4x/4 = 112/4

x = 28

Answer:

Option A

Step-by-step explanation:

Any number that can be written in the form of a fraction [tex](\frac{p}{q})[/tex] will be a rational number.

From the given options,

Option (A)

Given expression [tex]\sqrt{\frac{x^2+2x-5}{2x^2-3x+4}}[/tex] can't be written in the form of a fraction [tex](\frac{p}{q})[/tex] (Without square root).

Therefore, given function is not a rational function.

Rest all options represent a rational function.

Option A will be the answer.  

Answer:

The triangles are congruent so AB=DE=6

AB=6

angle F= angle C

so F=50 degrees

Step-by-step explanation:

Answer:

[tex]E =[/tex] [tex](-3,3)[/tex]

Step-by-step explanation:

Given

Parallelogram: DEFG

[tex]D(x_1,y_1) = (-2,-4)[/tex]

[tex]F(x_3,y_3) = (0,7)[/tex]

[tex]G(x_3,y_4) = (1,0)[/tex]

Required

Find the coordinates of [tex]E(x_2,y_2)[/tex]

To do this, we make use of mid-point formula which is:

[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]

This gives:

[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

Multiply through by 2

[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]

[tex](-2,3) = (x_2+1,y_2+0)[/tex]

[tex](-2,3) = (x_2+1,y_2)[/tex]

By comparison:

[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]

So, we have:

[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]

[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]

This gives:

[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]

Hence, the 4th coordinate is: [tex](-3,3)[/tex]