the sum of the digits of a two-digit number is 11 the tens digit is one less thn three times the ones didgit find the original number

Step-by-step explanation:

6 min => Run 12 laps around the track

1 min => 12/6 = 2 laps around the track

Therefore Lin runs 2 laps per minute.

Answer:

2 laps per minute

Step-by-step explanation:

What we know:

Lin runs

12 laps

in 6 minutes

Laps per minute = [tex]\frac{Laps}{Minute} = \frac{12 laps}{6 minutes} = \frac{12}{6} = 2 \frac{laps}{minute}[/tex]

Answer:

1021

Step-by-step explanation:

Answer:

1021 cm3

Step-by-step explanation:

Answer:

The angle of x is 155!

Step-by-step explanation:

180-90-35=55

180-60-55=65

180-90-65=25

180-25=155

Question:

Find the mean and compare it with the median. Find the standard deviation and compare it with the interquartile range. Calculate s for the data 4, 1, 3, 10, 2.

Answer:

(a)

[tex]Mean = 4[/tex]

[tex]Median=3[/tex]

[tex]Mean > Median[/tex]

(b)

[tex]IQR = 2[/tex]

[tex]SD = 3.2[/tex]

[tex]SD> IQR[/tex]

Step-by-step explanation:

Given:

Data: 4, 1, 3, 10, 2.

Solving (a): The mean and the Median

The mean is calculated as follows:

[tex]Mean = \frac{1}{n} \sum x[/tex]

Where

[tex]n = 5[/tex] i.e 5 data

So, the expression becomes:

[tex]Mean = \frac{1}{5}(4 + 1+3+10+2)[/tex]

[tex]Mean = \frac{1}{5}(20)[/tex]

[tex]Mean = 4[/tex]

Calculating the Median:

First, arrange the order (ascending order):

[tex]Data: 1, 2,3,4,10[/tex]

Because n is odd

The median is represented as:

[tex]Median = (\frac{n+1}{2})th\ item[/tex]

[tex]Median = (\frac{5+1}{2})th\ item\\[/tex]

[tex]Median = (\frac{6}{2})th\ item[/tex]

[tex]Median = 3rd\ item[/tex]

From the arranged data, the 3rd item is 3.

Hence:

[tex]Median=3[/tex]

By comparison, the mean is greater than the median because [tex]4 > 3[/tex]

Solving (b): Standard Deviation and IQR

The standard deviation is calculated as follows:

[tex]SD= \sqrt{\frac{\sum (x_i - Mean)^2}{n}[/tex]

So, we have:

[tex]SD= \sqrt{\frac{(4 - 4)^2+(1 - 4)^2+(3 - 4)^2+(10 - 4)^2+(2 - 4)^2}{5}[/tex]

[tex]SD= \sqrt{\frac{(0)^2+(- 3)^2+(- 1)^2+(6)^2+(-2)^2}{5}[/tex]

[tex]SD= \sqrt{\frac{0+9+1+36+4}{5}[/tex]

[tex]SD= \sqrt{\frac{50}{5}[/tex]

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

[tex]SD = 3.2[/tex]

Calculating IQR

[tex]IQR = Q_3 - Q_1[/tex]

[tex]Data: 1, 2,3,4,10[/tex]

In (a), we calculate the median as:

[tex]Median=3[/tex]

First, we calculate [tex]Q_1[/tex]

[tex]Q_1 = Median\ of\ the\ first\ half.[/tex]

The first half is:

[tex]First\ Half = 1,2,3[/tex]

So:

[tex]Q_1 = 2[/tex]

First, we calculate [tex]Q_3[/tex]

[tex]Q_3 = Median\ of\ the\ second\ half.[/tex]

[tex]Second\ Half = 3,4,10[/tex]

So:

[tex]Q_3 = 4[/tex]

Recall that:

[tex]IQR = Q_3 - Q_1[/tex]

[tex]IQR = 4 - 2[/tex]

[tex]IQR = 2[/tex]

So, we have:

[tex]IQR = 2[/tex]

[tex]SD = 3.2[/tex]

By comparison, the standard deviation is greater than the IQR because:

[tex]3.2 > 2[/tex]

So,

[tex]SD> IQR[/tex]

Answer:

(2/3)^4 and (4/9)^2

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

6x x 2=12x + 3x = 15x

15x/15 = 15/15

x = 1

Answer:

here it the answer

Step-by-step explanation:

hope it helps

Answer:

x = 3

Step-by-step explanation:

Δ BDE and Δ BAC are similar triangles, thus the ratio of corresponding sides are equal, that is

[tex]\frac{BD}{BA}[/tex] = [tex]\frac{BE}{BC}[/tex], substitute values

[tex]\frac{x+5}{3x+5}[/tex] = [tex]\frac{4}{7}[/tex] ( cross- multiply )

4(3x + 5) = 7(x + 5) ← distribute parenthesis on both sides )

12x + 20 = 7x + 35 ( subtract 7x from both sides )

5x + 20 = 35 ( subtract 20 from both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Given :

A graph with a straight line on it.

To Find :

The equation of the line.

Solution :

From the given graph we can see that the line passes through point ( 0,6 ) and ( 4,10 ) .

Also, equation of line passes through two points [tex](x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex] is :

[tex]y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})( x - x_1)[/tex]

Putting all given values, we get :

[tex]y - 6 = (\dfrac{10-6}{4-0})( x -0)\\\\y - 6 = x\\\\y -x = 6[/tex]

Therefore, the equation of line is y - x = 6 .

Answer:

Lol its 8

Step-by-step explanation:

Answer:

3,18

Step-by-step explanation:

x+6=21

7x=21

21/7x=3

Other 6x=6(3)

6x=18

The numbers=3,18

Hope this helps xx

Answer:

15% off of $60.00 would be $51.00

Step-by-step explanation:

(15 x 15) / 100 = 9

60-9=51

        </3 PureBeauty

Answer:

r = $105.6

Step-by-step explanation:

Given,

Amount paid by Trevor for 4 nights = $528

Rate per day = r

Now,

We know that a 4-night stay in the hotel means 5 days to stay at MGM Grand.

Now,

Amount paid = Number of days x Rate per day

$528 = 5 r

[tex]r = \frac{528}{5}[/tex]

r = $105.6

Hence, Trevor pays $105.6 to stay at the MGM Grand Hotel in Las Vegas for four nights.

Answer:

$72

Step-by-step explanation:

$768/265 = $3

$3 x 24 = $72

Answer:

$72

Step-by-step explanation:

768/256 = how much each hot dog was sold for

768/256 = 3

Each hot dog was sold for $3.

24*3 = $72

Therefore, the cost of 24 hot dogs is $72.

Answer:

non linear

Step-by-step explanation:

you can see it doesnt go up a specific number each time, aka changes each time, therefor its  non linear

Answer:

2

Step-by-step explanation:

Use the method

Change in output  / Change in input

The input progresses by 1, and y progresses by 2.

We will plug the numbers in.

2/1

Then simplify.

2/1 = 2

Hence, the rate of change is 2.

Answer:

noun and fairness

Step-by-step explanation:

Giving each person what they deserve, or, in more formal terms, their due, is what is meant by justice. Today, the terms justice and fairness are frequently used interchangeably because of their close relationship. However, there have also been more definite interpretations of the two names.

Justice is noun part of speech.

Speech is the ability to articulately express ideas and thoughts through vocal sounds. It is also the act of doing so.

Justice, in its broadest sense, is the idea that people should get what they deserve. However, there are many different fields and viewpoints that have an impact on what is considered to be "deserving," including those that focus on morality as it relates to ethics, reason, law, religion, equity, and fairness. The state will occasionally make an effort to improve justice by running courts and upholding their decisions.

Therefore, Justice means fair treatment and it is noun part of speech.

Learn more about Speech, here;

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Answer:

25km/hr (take the word train as bus )

Step-by-step explanation:

Answer

Let x km/hr be the constant speed of the train,

Then Time taken to cover 300km=

x

300

hrs

Time taken to cover 300km when the speed is increased by 5km/hr=

x+5

300

hours

It is given that the time to cover 300km is reduced by 2 hours

∴

x

300

−

x+5

300

=2

⇒

x(x+5)

300(x+5)−300x

=2⇒2x

2

+10x=1500

⇒x

2

+5x−750=0⇒x

2

+30x−25x−750=0

⇒(x+30)(x−25)=0⇒x=25orx=−30

But x cannot be negative. Therefore x=25

Hence, the original speed of the train is 25km/hr

Answer:

1.07

Step-by-step explanation:

7.63 divided by 7 equals to 1.07

The value of w from the given equation is $1.09.

The given equation is 7w = $7.63.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The value of w can be solved as follows:

w = 7.63/7

⇒ w = 1.09

Therefore, the value of w from the given equation is $1.09.

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Answer:

BE = 2.5

Step-by-step explanation:

Remark

Use triangles ABC and DEB.

Formula

AB/DB = BC / BE

Givens

Solution

15/3 = (10 + x)/x              Cross multiply

15x = 3(10 + x)                Remove the brackets

15x = 30 + 3x                 Subtract 3x from both sides.

15x - 3x = 30                  Combine

12x = 30                         Divide by 12

x = 30/12

x = 2.5

Answer:

3 laps

Step-by-step explanation:

6 / 2 = 3

Answer:

(10, 1)

Step-by-step explanation:

It tells you that when you translate it you add 2 to the x-coordinate and subtract 7 from the y-coordinate. This means that the point E, (8, 8), would become (8 + 2, 8 - 7) or (10, 1).

Answer:

b. 1 foot 5 inches

Step-by-step explanation:

because one foot is 12 inches

Answer:

y=x^2-2

Step-by-step explanation:

Linear functions have a constant slope, so nonlinear functions have a slope that varies between points. Algebraically, linear functions are polynomials with highest exponent equal to 1 or of the form y = c where c is constant. Nonlinear functions are all other functions. An example of a nonlinear function is y = x^2

Answer:

y=x^2 -2

Step-by-step explanation:

This will result in a parabola, which does not fit the description of a linear function.

Answer:

x=7

Step-by-step explanation:

2x-5=9

   +5  +5

2x=14

/2   /2

x=7

I don't if this is what you mean by visual, but this is what I got.