Answer:
<h2>
1/9</h2>
Step-by-step explanation:
Given the sample space of a die S=(1,2,3,4,5,6)
and the sample size=6
the probability of obtaining the number 1 Pr(1)= 1/6= 1/6
the probability of obtaining the number 6 Pr(1)= 6/6= 1
the probability of obtaining the number 4 Pr(1)= 4/6= 2/3
Hence the probability of P(1,6,4) = 
Answer:
If we look at the table we notice that 2 + 4 = 6, 3 + 4 = 7, 4 + 4 = 8 and so on so the equation is y = x + 4.
Answer:
y = - 3
Step-by-step explanation:
Locate x = 2 on the x- axis, then go down vertically to meet the line. At this point read off the corresponding value on the y- axis, thus
The value of the function at x = 2 is y = - 3
Since sin(2x)=2sinxcosx, we can plug that in to get sin(4x)=2sin(2x)cos(2x)=2*2sinxcosxcos(2x)=4sinxcosxcos(2x). Since cos(2x) = cos^2x-sin^2x, we plug that in. In addition, cos4x=cos^2(2x)-sin^2(2x). Next, since cos^2x=(1+cos(2x))/2 and sin^2x= (1-cos(2x))/2, we plug those in to end up with 4sinxcosxcos(2x)-((1+cos(2x))/2-(1-cos(2x))/2)
=4sinxcosxcos(2x)-(2cos(2x)/2)=4sinxcosxcos(2x)-cos(2x)
=cos(2x)*(4sinxcosx-1). Since sinxcosx=sin(2x), we plug that back in to end up with cos(2x)*(4sin(2x)-1)
