Answer:
x = 3 or x = 2 or x = -1 or x = -5
Step-by-step explanation:
Solve for x:
((x - 3) (x - 2) (x + 1) (x + 5))/x = 0
Multiply both sides by x:
(x - 3) (x - 2) (x + 1) (x + 5) = 0
Split into four equations:
x - 3 = 0 or x - 2 = 0 or x + 1 = 0 or x + 5 = 0
Add 3 to both sides:
x = 3 or x - 2 = 0 or x + 1 = 0 or x + 5 = 0
Add 2 to both sides:
x = 3 or x = 2 or x + 1 = 0 or x + 5 = 0
Subtract 1 from both sides:
x = 3 or x = 2 or x = -1 or x + 5 = 0
Subtract 5 from both sides:
Answer: x = 3 or x = 2 or x = -1 or x = -5
Answer:

Step-by-step explanation:
we know that
To find out how much fabric Jen has left for the shorts, subtract the yards of fabric used in her new dress from the total yards of fabric Jen has.
so

Convert mixed number to an improper fraction

substitute

Convert to mixed number

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>