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3 years ago

Solve the equation: 5x + 5 = 0

Mathematics

2 answers:

olga_2 [115]3 years ago

5 0

Answer:

x = -1

Step-by-step explanation:

Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS = Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.

First, subtract 5 from both sides

5x + 5 = 0

5x + 5 (-5) = 0 (-5)

5x = 0 - 5

5x = -5

Next, divide 5 from both sides

(5x)/5 = (-5)/5

x = -5/5

x = -1

-1 is your answer for x.

Igoryamba3 years ago

3 0

Answer:

x = -1

Step-by-step explanation:

5x + 5 = 0

Subtract 5 from each side

5x+5-5 = 0-5

5x = -5

Divide by 5 on each side

5x/5 = -5/5

x = -1

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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

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

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

Create the below table.

Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 6422.0982$

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} } = \sqrt{ \frac{ 6422.0982 }{ 19 - 1} } \approx 18.889$

7 0

3 years ago

Janice deposited $750 in a savings account that earns 3.5% simple interest. How much interest has Janice earned by the end of th

Ronch [10]

Janice deposited $750 and a savings account earns 3.5% simple interest.
r = 3.5% = 0.035
I = $750 * 0.035
I = $26.25
Answer:
Janice has earned
D ) $26.25

8 0

3 years ago

92% of what number is 115 ?

Andrej [43]

$\frac { 92 }{ 100 } \cdot n=115\\ \\ 92n=11,500\\ \\ n=\frac { 11,500 }{ 92 } \\ \\ \therefore \quad n=125$