A) 1/6
B) 5/6
C) 1
D) 20
Explanation:
A) There is one 6 on a 6-sided die, out of 6 numbers.
B) There are 5 numbers that are not 6 on a 6 sided die, out of 6 numbers.
C) P( 6 or ~6) = P(6) + P(~6) = 1/6 + 5/6 = 6/6 = 1
D) 1/6(120) = 120/6 = 20
The tables shows that the relative frequencies for each number are very similar 0.19, 0.20 and 0.21.
That drives to tell that the outcomes appear to be equally like.
That means that the probabilities are uniform, so the answer is:
<span>The
outcomes appear to be equally likely, so a uniform probability model is
a good model to repersent the probabilities in Tyra's experiment.</span>
Answer:
15 : 29
Step-by-step explanation:
(3 3/4) / (7 1/4) = ((3·4+3)/4) / ((7·4+1)/4)
= (15/4) / (29/4) = 15/29
The ratio of the two numbers is 15 : 29.
Answer:
The factors of given polynomial x =-1 , -2 and x =3
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given the polynomial
f(x) = x³ - 7x -6
put x =-1
f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0
(x+1) is a one factor
By using synthetic division
x³ x² x constant
x=-1 ↓ 1 0 -7 -6
<u>↓ 0 -1 1 6</u>
<u> 1 -1 -6 0 </u>
<u />
<em>The polynomial x² - x - 6 </em>
<u><em>Step(ii):-</em></u>
The factors ( x+1)(x² - x - 6 ) = 0
x = -1 and x² - x - 6 =0
x =-1 and x² - 3x + 2 x - 6 =0
x =-1 and x (x -3) + 2( x-3) =0
x =-1 and (x+2)(x-3) =0
<u><em>Final answer:-</em></u>
The factors of given polynomial x =-1 , -2 and x =3
hence, the common ratio of the given G.P. is 3 or −3.
