Let the number is m
then:
<span>one-sixth of a number = 1/6 m = m/6
and:
</span><span>sum of one-sixth of a number and negative two = m/6 - 2
and:
</span>sum of one-sixth of a number and negative two is equal to negative two-thirds : m/6 - 2 = -2/3
solving for m:
m/6 - 2 = -2/3
m/6 = -2/3 + 2
m/6 = 4/3 *6
m = 8Your number is:
sixDone
I hope that
helps!
Answer:
1. 1/2 +/-√5
2. 1 +/- i √6/2.
Step-by-step explanation:
1. f(x) = 4x^2 - 8x - 1
x = [-(-8) +/-√((-8)^2 - 4*4*-1)] / (2*4)
x =[ 8 +/- √80] / 8
= 1 +/- 4√5/8
= 1 +/- √5/2
= 1/2 +/-√5
2. By a similar method the zeros of the the second equation are:
x = [-(-4) +/- √((-4)^2 - 4*2*5)] / 4
= 4 +/- √(16 - 40) / 4
= 1 +/- √(-24)/4
= 1 +/- i √6 * 2 / 4
= 1 +/- i √6/2.
Answer:

Step-by-step explanation:
Given

Required
Evaluate p(x) when x = 20
To do this, we simply substitute 20 for x





<em>Option C answers the question</em>
nCr(20, 2) = 190 ways of selecting 2 from 20
nCr(10, 1) = 10 ways of selecting 1 from 10
To find the over all probability of winning,
Calculate the Harmonic Mean (19) and divide by 2
Equivalent to
1/ (1//190 + 1/10) =9.5
So the probability is 1/9.5 = 2/19.