Which of the following statements is true for this distribution? (No calculations are required to answer this question.)
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O A Mean > Median
O
B. The relationship between the mean and median cannot be determined from the display.
O
C. Median > Mean
O D. Mean = Median

Given:

Scott can run 20 km in 85 minutes.

To find:

How long will it take Scott to run 52 km?

Solution:

Let x be the number of minutes it will take him to run 52 km.

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

Using this formula, we get

[tex]Speed=\dfrac{20}{85}[/tex]           ...(i)

[tex]Speed=\dfrac{52}{x}[/tex]             ...(ii)

Equating (i) and (ii), we get

[tex]\dfrac{20}{85}=\dfrac{52}{x}[/tex]

[tex]20\times x=52\times 85[/tex]

[tex]20x=4420[/tex]

Divide both sides by 20.

[tex]x=\dfrac{4420}{20}[/tex]

[tex]x=221[/tex]

Therefore, it will take 221 minutes to run 52 km.

Answer:

It depends on the equations and the variables.

Example of an equation in 2 variables with infinitely many solutions:

sin2x - cos2y + cos2x - sin2y = 0

Example of an equation in 1 variable with 2 solutions:

(x - 1)(x - 2) = 0

Example of 2 equations in 2 variables with no solution:

The intersection of the lines given by

y = 3x + 1

y = 3x + 2

Example of an equation in 1 variable with 1 solution:

5x - 4 = 15

Example of an equation in 1 variable with no real solution:

x2 + 49 = 0

We can go on and on with examples like this. The question is way too general.

Step-by-step explanation:

please mark as brainliest

please mark as brainliest

Answer:

- 7

Step-by-step explanation:

5 + (- 12)

5 - 12

- 7

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides , B to A

The right vertical side of B is 2 units

The right vertical side of A is 4 units

scale factor = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

Suman 37 km/hr

Narayan 43 km/hr

(extremely sorry if this is wrong!!)

Step-by-step explanation:

We can use the formula distance divided by time is speed.

480/6 = 80.

Their speeds must add up to 80 km/hour

Lets set suman as a variable, lets say s.

Narayan has a speed 6 more than suman so we say 6+s

6+s+s = 80

subtract 6 from both sides

s+s = 74

add like terms

s+s = 2s

2s = 74

divide both sides by 2.

74/2=37

s=37

Suman's speed is 37 km/hr.

Narayan's speed would be 6 more than Suman's so we do 6+37

which makes 43 km/hr

Answer:

[tex]{ \tt{let \: that \: value \: be \: { \bf{x}}}} \\ 0.0426 \times x = 4260 \\ { \tt{0.0426x = 4260}} \\ { \tt{x = \frac{4260}{0.0426} }} = 100000 \\ { \tt{answer = 100000}}[/tex]

0.0426 × y = 4260

y = 4260÷0.0426

y=100000

Answer:

go a head what can i help you with

Answer:

Step-by-step explanation:

[tex]y_A = 9x -3x - 4 \\y_A = 6x - 4\\\\y_B = 12x - 4\\\\y_C = 5x + x - 4\\y_C = 6x -4[/tex]

Standard equation of a line with slope, m and y - intercept b is y = mx + b.

Clearly. for  the second equation has a different coefficient for x.

a ) The coefficient for x , is the slope of the line.

     Though the y - intercept for each equation is same = - 4.

    For example :

  Expression A = 2 , when x = 1

  Expression B = 8 , when x = 1

  Expression C = 2 , when x = 1

b) From above :

        [tex]y_A \ and \ y_C \ are \ the \ same \ expression.[/tex]

c) Expression A and  C are equivalent because the coefficient of x

    is the same  for A and  C.

Answer:

l

Step-by-step explanation:

Given:

The logarithmic equation is:

[tex]\log_81=0[/tex]

To find:

The exponential equation for the given logarithmic equation.

Solution:

We have,

[tex]\log_81=0[/tex]

It can be rewritten as:

[tex]8^{\log_81}=8^{0}[/tex]

Using [tex]a^{\log_ax}=x[/tex], we get

[tex]1=8^0[/tex]

[tex]8^0=1[/tex]

Therefore, the correct option is C.

Answer:

Step-by-step explanation:

just remember that [tex]\sqrt{x} = x^{1/2} ....... \sqrt[3]{x} = x^{1/3} \\also that (x^{a})^{b} = x^{a*b}[/tex]

1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

Answer:1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

Step-by-step explanation:

Answer:

option b

Step-by-step explanation:

The sum of the interior angles of a quadrilateral is 360°.

That is,

     120 + y + 85 + 53 = 360

              y = 360 - 120 - 85 - 53

              y = 102

Answer:

Option B is correct

Step-by-step explanation:

Hint :

Sum of angles in quadrilateral = 360°

Simplify :

[tex] {y}^{o} + {120}^{o} + {85}^{o} + {53}^{o} = {360}^{o} \\ {y}^{o} + {258}^{o} = {360}^{o} \\ {y}^{o} = {360}^{o} - {258}^{o} \\ {y}^{o} = {102}^{o} [/tex]

Answer:

4

Step-by-step explanation:

Answer:

gradient = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

y = 4x - 7 ← is in slope- intercept form

with gradient m = 4

Answer:

please mark as brilliant

The expression which represents the profit is 33x + 390, the correct option is D.

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

We are given that;

The polynomial= 2x3 + 30x – 130

The cost, in dollars, of producing the skateboard= 2x3 – 3x – 520.

Now,

To find the expression that represents the profit, we need to subtract the cost from the revenue. So, we have:

profit = revenue - cost

profit = (2x^3 + 30x - 130) - (2x^3 - 3x - 520)

profit = 2x^3 + 30x - 130 - 2x^3 + 3x + 520

profit = 33x + 390

Therefore, the expression will be 33x + 390.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ7

Answer:

5.16 m

Step-by-step explanation:

[tex] \cos( \alpha ) = \frac{bc}{x} \\ \cos(29) = \frac{bc}{5.9} \\ bc = 5.9 \cos(29) \\ bc = 5.16 m[/tex]

Answer:

56+8√2=8(7+√2)

Step-by-step explanation:

1. P= AB+BC+CD+DE+EF+FG+GA

2. AB=DC=12

BC=16

AG=ED=4

AG+ED+GE=16

4+4+GE=16

GE=16-8

GE=8

GF²= EF²+GE²

GF²=64+64

GF²=128

GF=8√2

3.P= 12+16+12+4+8+8√2+4= 56+8√2

Answer:

Area = 160 sq cm

Perimeter = 67.31 cm

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 cm and 12 cm - Area of the right triangle with base and height ecah 8 cm.

=16*12 - 1/2 * 8 *8

= 192 - 32

= 160 sq cm

GEF is a right triangle.

Therefore, by Pythagoras theorem:

[tex] FG^2 = FE^2 + GE^2 [/tex]

[tex] \therefore FG^2 = 8^2 + 8^2 [/tex]

[tex] \therefore FG^2 = 64+64 [/tex]

[tex] \therefore FG^2 = 128 [/tex]

[tex] \therefore FG =\sqrt {128}[/tex]

[tex] \therefore FG =11.3137085[/tex]

[tex] \therefore FG = 11.31\: cm[/tex]

Perimeter of the figure

= 12 + 16 + 12+4+8+11.31+4

= 67.31 cm

Answer:

TN = 13 units

MP = 22 units

TQ = 6.93 units

PT = 13 units

Step-by-step explanation:

If T is a circumcenter of the given triangle MNP,

Measure of TN = Measure of TM = Measure of TN

By applying Pythagoras theorem in ΔMRT,

MT² = TR² + MR²

MT² = (12)² + 5²

MT = [tex]\sqrt{169}[/tex]

MT = 13

Measure of TN = 13 units

Since, TQ, TS and RT are the perpendicular bisectors of the sides MP, NP and MN respectively,

Measure of MP = 2(PQ)

                         = 2(11)

                         = 22 units

By applying Pythagoras theorem in ΔTQM,

MT² = TQ² + MQ²

(13)² = TQ² + (11)²

TQ = [tex]\sqrt{169-121}[/tex]

TQ = [tex]\sqrt{48}[/tex]

TQ = 6.93

Measure of PT = Measure of TN = 13 units

Answer:

m=5/2

Step-by-step explanation:

just did

Answer:

21

Step-by-step explanation:

goes up by 7

Answer:

500 minutes= 8.33 hr

Step-by-step explanation:

The number of hours that he works will be 8 hours and 20 minutes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Jude arrived at work at 7:55 am and left at 4:15 pm.

Convert the time into 24 hours system. Then we have

4:15 pm = 16: 15

7:55 am = 7: 55

Then the number of hours is given as,

    16: 15

  -  7: 55

     8: 20

Then the number of hours that he works will be 8 hours and 20 minutes.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

I will help ok ok heres ur answer

Answer:

0.000032 and 0.0000064

Answer:

The answer is 5/6.

Step-by-step explanation:

If both the numbers are mixed then,

(5 1/3) - (4 1/2)

= {(3*5)+1}/3  -  {(2*4)+1}/2

= (16/3) - (9/2)

= (32-27)/6

= 5/6

Hope this helps.

Answer:

The answer would be A

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

Answer:

C.    greater than

Step-by-step explanation:

Since 8/7 is greater than 1

multiply it by 12 will result in a larger number.

Answer:

(F.g(x))=x^2-10x+24

Step-by-step explanation:

when when we have a composition function, like f of g of x, we put the second function g of x in place of every x in f of x,

so f(x)=x^2-6x+8

and we will put x-2 which is g(x) in the place of every x

so f(g(x))=(x-2)^2-6(x-2)+8

so we ca n simplify that into f(g(x))=x^2-4x+4-6x+12+8

which simplifies to f(g(x))=x^2-10x+24

Answer:

1. 6084

2. 9261

3. -1

4. 995/364

5. -1/625

Step-by-step explanation: