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3 years ago

Find the suitable rearrangement for 1+2+3+4+896+897+898+899

Mathematics

1 answer:

Trava [24]3 years ago

8 0

Answer:

steps below

Step-by-step explanation:

1+2+3+4+896+897+898+899

= (1+899)+(2+898)+(3+897)+(4+896)

= 900 + 900 + 900 + 900

= 3600

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What is the equation of the line that goes through the points (1,2) and (2,1)?

Mandarinka [93]

Answer:

y = -x+3

Step-by-step explanation:

We have two points so we can find the slope

m =(y2-y1)/(x2-x1)

(1-2)/(2-1)

-1/1

The slope is -1

We can use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

y = -x+b

Substitute a point into the equation to find b

2 = -1 +b

Add 1 to each side

2+1 =-1+1 +b

3 =b

y = -x+3

4 0

3 years ago

If (angle)1 = 7x and (angle)4 = 3x + 20, what is the value of x?

Semenov [28]

The value of x is 5. Angle one and four are vertical. You can do this by writing 7x = 3x + 20. Isolate the variable by moving 3x to the other side. If you do this, 3x becomes negative, and you end up with 7x-3x = 20 --> 4x = 20.
x=5.

7 0

3 years ago

Read 2 more answers

Sam Is 11 years older than Susan the sum of their ages in years is 27 what’s sams age in years

sweet [91]

Answer:

Step-by-step explanation:

Let Sam be x

Let Susan be y

x = y+11

x + y = 27

Substitute (x) with (y+11)

(y+11) + y = 27

Solve the equation

2y + 11 = 27

2y = 16

y = 8

Susan's age is 8.

Sam's age is 8 + 11

Sam's age is 19

Hope this helped :)

5 0

3 years ago

Read 2 more answers

The sum of three consecutive numbers is 72 what are the smallest of these numbers

Airida [17]

A + b + c = 72

a = b - 1

c = b + 1

(b - 1) + b + (b + 1) = 72

Simplify

3b = 72

b = 24

a = 24 - 1

a = 23

8 0

3 years ago

In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes

ale4655 [162]

Answer:

The sample mean is $\bar{x}=14.371$ min.

The sample standard deviation is $\sigma = 18.889$ min.

Step-by-step explanation:

We have the following data set:

$\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}$

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

$\bar{x} = \frac{{\sum}x}{n}$

where, $n$ is the number of values in the data set.

$\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371$

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }$