Answer:
17x² - 12x + 0 = 0
Step-by-step explanation:
We can move all the terms to the same side of the equation first:
17x²=12x
17x² - 12x = 0
We know that a standard quadratic equation is in the form ax² + bx + c = 0, so we can substitute our values into this equation to match its form.
a=17
b=12
c=0
17x² - 12x + 0 = 0
so, plus or minus? well, the angle is in the 1st quadrant, and on that quadrant, both cosine and sine are positive, so 4 = b
Answer:
Area= 50.24 inches square
Step-by-step explanation:
Area of a circle = π r² diameter= 2*radius
Area= 3.14*(16) ²
Area= 50.24 inches square
Formula for standard deviation sample calculation is:
SD = sqrt (( ∑( x - m)²) / ( n - 1 )),
where x stays for each value in the data set, m stays for mean of all values in the data set, and n stays for the number of values in the data set.
For example: Find the sample standard deviation for the set of numbers: 10, 11, 11, 12, 12.
First we will find mean of all avlues: m = ( 10 + 11 + 11 + 12 +12 ) / 5 = 11.2
SD = sqrt (( 1.2² + 0.2² + 0.2² + 0.8² + 0.8² ) / ( 5 - 1 ))=
= sqrt ( 2.8 / 4 ) = √0.7 = 0.837
Answer:
65 miles
Step-by-step explanation:
There are two simultaneous equations
. Remeber that v=d/t, 1hour = 60 minutes.
1. 40 = (d+15)/(t+0.5)
2. 50 = d/t
solving: d= 25 miles and t=0.5 hours.
The distance traveled is:
D=d+d+15
D=65 miles
