Question 19.). There is 1 + 1 + 3 + 4 + 3
Quiz Papers = 12
Four Papers with Scores of Six out Twelve
1 Selected:
Probability: 4/12
Answer: Letter Choice, (A), = 1/3
Question 20.). Two papers > 7
1 ===> 8, 1 ===> 9
Probability:
2/12
Answer: Letter Choice (F), 2/12 = 1/6
Hope that helps!!!! : )
Answer:
Expression: Y = -10/3 X
Y = 10/3
Step-by-step explanation:
If Y varies directly as X, then;
Y∝X
Y = kX
k is the constant of variation
If Y = 10 and X = -3
10 = -3k
k = -10/3
Substitute k = -10/3 into the expression Y = kX
Y = -10/3 X
This gives the required expression
To get the value of Y when X = -1
Recall that Y = kX
Y = -10/3 (-1)
Y = 10/3
Hence the value of Y is 10/3
If a = first term and r = common ratio we have
a + ar + ar^2 = 13 and ar^2 / a = r^2 = 9
so r = 3
and a + 3a + 9a = 13
so a = 1
so they are 1,3 and 9
2.
in geometric series we have
4 , 4r ,4r^2 , 60
Arithmetic;
4, 4r , 4r + d , 4r + 2d
so we have the system of equations
4r + 2d = 60
4r^2 = 4r + d
From first equation
2r + d = 30
so d = 30 - 2r
Substitute for d in second equation:-
4r^2 - 4r - (30-2r) = 0
4r^2 - 2r - 30 =0
2r^2 - r - 15 = 0
(r - 3)(2r + 5) = 0
r = 3 or -2.5
r must be positive so its = 3
and d = 30 - 2(3) = 24
and the numbers are 4*3 = 12 , 4*3^2 = 36
first 3 are 4 , 12 and 36 ( in geometric)
and last 3 are 12, 36 and 60 ( in arithmetic)
The 2 numbers we ause are 12 and 36.
1 ) log ( 16 ) 4 = 1/2
Answer: B ) 1/2
2 ) 125 ^( 9 x - 2 ) = 150
9 x - 2 = log ( 125 ) 150
9 x - 2 = 1.038
9 x = 1.038 + 2
9 x = 3.038
x = 3.038 : 9
x = 0.3375
Answer: C ) 0.3375
3 ) log ( 3 x + 2 ) = 3
3 x + 2 = 10^3
3 x + 2 = 1000
3 x = 1000 - 2
3 x = 998
x = 998 / 3
Answer: B ) 998 / 3
