Solution of (6x + 2.4): 3 ⁵/₉ = 2.25 : ¹/₃ is 3.6
Further explanation
Order of Operations in Mathematics follow the following rule :
Parentheses
Exponents
Multiplication and Division
Addition and Subtraction
This rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate an operation that is in parentheses, followed by exponentiation, then multiplication or division, and finally addition or subtraction.
Answer:
<u>A. Mean = 402.5</u>
<u>B. Variance = 77,556.25</u>
<u>C. Standard Deviation = 278.49</u>
Step-by-step explanation:
Let's calculate the mean, variance and standard deviation of the set of numbers given:
A. Mean = (45 + 340 + 400 + 825)/4 = 1,610/4 =<u> 402.5</u>
B. Variance [(45 - 402.5)² + (340 - 402.5)² + (400 - 402.5)² + (825 - 402.5)²]/4 = [(127,806.25 + 3,906.25 +6.25 + 178,506.25/4 =<u> </u><u>77,556.25</u>
C. Standard Deviation = √Variance = √77,556.25 =<u> 278.49</u>
Answer:Ascending Height : 36,500 feet Descending Height : 14,600 feet
Step-by-step explanation:
40 ft of 60% (.6) = 24ft
Area- 24(40)=960ft
Answer: 11
Step-by-step explanation:
Set up an equation
Based on the question, we can determine that 4x = 22 + 2x where x in is the number
"Four times a number" -> <u>4x</u>
"was" -> <u>=</u>
"22 greater than" -> <u>22 +</u>
"twice the same number" -> <u>2x</u>
Put the underlined parts together to get <u>4x = 22 + 2x</u>
Solve equation
Rearrange/collect like terms to solve for x by subtracting 2x from both sides
4x = 22 + 2x
2x = 22
Solve for x by dividing each side by 2
2x = 22
x = 11
Final Answer
x = 11
