To find the mean add all the numbers and dived by the number of numbers. So 15 + 23 + 14 + 17 + 21 = 90 / 5 = 18. The mean is 18.
Answer:
3 5 6 2 8
Step-by-step explanation:
32
Because the bigger triangle is dilated
' 2.9% ' means ' 0.029 '
' of ' means ' times '
' 2.9% of 1,000 ' means ' 0.029 x 1,000 '
0.029 x 1,000 = <em>29</em>
Answer:
q=35
Step-by-step explanation:
x2 - 12x + q = 0
Let the two roots be r and r+2.
Factor the quadratic expression:
(x - r)[x - (r + 2)] = 0
Expand, simplify, group like terms, and get
x2 - 2(r + 1)x + r(r + 2) = 0
Compare to
x2 - 12x + q = 0
and set equal the coefficients of like terms:
Coefficient of x:
-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5
(Then the other root is r + 2 = 5 + 2 = 7)
Constant term:
r(r + 2) = q ⇒ 5(5 + 2) = q
q = 35
Test the solution:
(x - 5)(x - 7) = x2 - 12x + 35
With two roots differing by 2, you get an equation of the form
x2 - 12x + q = 0
with q = 35.
