What logarithmic equation has the same solution as x-4=2^3
Solution:
x-4=2³
x-4=2*2*2
x-4=8
TO solve for x, Let us add 4 on both sides
x-4+4=8+4
x+0=12
So, x=12
But, x=12 is not a logarithmic equation and there are no options
So, an equation like, x=㏒
As log has base 10,
So, x=㏒ =12
So, logarithmic equation like x=log has same solution as x-4=2³
Answer: see answers below
<u>Step-by-step explanation:</u>
(i) The first leaf of the tree is: black = 5/9 and white = 4/9
That means that there are 5 black marbles out of 9 total marbles and 4 white marbles out of 9 total marbles.
Total marbles = 9
Black marbles = 5
White marbles = 4
*******************************************************************************************
(ii)
P(B₂/B₁)
The probability that the 2nd marble is black given that the 1st marble was black.
P(W₂/B₁)
The probability that the 2nd marble is white given that the 1st marble was black.
P(B₂/W₁)
The probability that the 2nd marble is black given that the 1st marble was white.
P(W₂/W₁)
The probability that the 2nd marble is white given that the 1st marble was white.
***********************************************************************************************
(iii) <u>Outcomes </u> (iv) <u> Probability </u>
(B, B) (5/9) x (1/2) = 5/18
(B, W) (5/9) x (1/2) = 5/18
(W, B) (4/9) x (5/8) = 5/18
(W, W) <u> (4/9) x (3/8) = </u><u>3/18</u>
Check: Total = 18/18 = 1
**********************************************************************************************
(iv) Dependent
Once the first ball is drawn, there is one less ball for the second draw. Therefore, the second draw is dependent on the first draw.
CalculistaQuality Assurance
the complete question in the attached figure
we know that
sin40° = opposite side / hypotenuse
opposite side =AC
hypotenuse = AB-------> 10 in
so
sin 40=AC/AB---------> AC=AB*sin 40-------> AC=10*sin 40
the answer is
AC=10*sin 40
