<span>The answer is B.
The reason being is that in this option they have set both sides of the equation separately equal to y. Since they are equal to each other, they would both have to be equal to an unknown y. This would look like this.
y = 1/4x - 3
y = 1/2x + 8.
Then to remove the fractions in each, they multiplied by the denominator associated with x. So, you multiply the first equation by 4.
4y = x - 12.
Then they solve for the numerical value at the end.
4y - x = -12.
You can do the same with the second equation.
y = 1/2x + 8
2y = x + 16
2y - x = 16
These are now the two equations above. </span>
Answer:
0.497
Step-by-step explanation:
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
From the question :
n = 6 ; x = 3 ; p = 0.42
P(x = 3) +... P(x = 6)
P(x = 3) = 6C3 * 0.42^3 * (1 - 0.42)^(6-3)
P(x = 3) = 20 * 0.074088 * 0.195112
P(x = 3) = 0.28910915712
Then find p(x = 4).. + p(x = 6)
Using a calculator :
P(X >= x) = 0.497
Answer:
−7z/2
Step-by-step explanation:
Answer:
She needs 168 more cels to draw to complete the film sequence
Step-by-step explanation:
120 Cells in 5 seconds
You want 12 seconds.
Ratio (Proportion)
120:5
Lets find the "unit rate" of the proportion.
120/5 = 24
So the unit ratio is 24:1
Now, we can deduce to it being:
120:5
240:10
264:11
288:12
She has 120 done.
So, 288-120 = 168.
She needs 168 more cels to draw to complete the film sequence