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3 years ago

What two numbers multiply to get -60 and add to get 7?

Mathematics

2 answers:

UNO [17]3 years ago

5 0

12 × -5 = 60
12 + (-5) = 12 - 5 = 7

Paha777 [63]3 years ago

5 0

-12 and 5. To work this out, find all the numbers that times togther to make -60. Then see if any of them add together to make 7. The best way to do it is trial and error

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the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

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Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

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

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

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Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

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Step 4: Calculate σ using the above formula.

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3 years ago

Solve the quadratic equation below for the exact values of x. 4x² - 5 = 75

vfiekz [6]

Answer:

x = ±2√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Multiple Roots

Step-by-step explanation:

Step 1: Define

Identify

4x² - 5 = 75

Step 2: Solve for x

[Addition Property of Equality] Add 5 on both sides: 4x² = 80
[Division Property of Equality] Divide 4 on both sides: x² = 20
[Equality Property] Square root both sides: x = ±2√5

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