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:
1. Let's solve for x.
−3x+5y=−6
Step 1: Add -5y to both sides.
−3x + 5y + −5y = −6 + −5y
−3x = −5y − 6
Step 2: Divide both sides by -3.
−3x
−3
=
−5y−6
−3
x=
5
3
y+2
2. Let's solve for x.
6x−10y=12
Step 1: Add 10y to both sides.
6x−10y+10y=12+10y
6x=10y+12
Step 2: Divide both sides by 6.
6x
6
=
10y+12
6
x=
5
3
y+2
The given equation is:
y = -10x + 1
Slope of this equation = -10
New line will be perpendicular to this line, so slope of new line = 1/10
So, we are to find the equation of a line with slope 1/10 and passing through (5,7). Using the point slope form we can write
y - 7 = 1/10 ( x - 5)
y = x/10 -1/2 + 7
y = x/10 + 13/2
⇒
x/10 - y = -13/2
So option C gives the correct equation of the new line
10 cars are silver, 20% of 50 is 10
