Answer: Probability of getting red both times is 
Step-by-step explanation:
Since we have given that
A spinner is half red and half blue.
Probability of getting red is given by
Probability of getting blue is given by
Since he spins the spinner twice.
Probability that you will get red both times is given by
Hence, Probability of getting red both times is
Both the points have a coordinate where y is -1, so the equation is simply -1
y=-1
however if you wanted to really show the working out, it looks like this:
y=mx+c
m=change in y/change in x
m=(-1-1)/(-5+0)=0
subsitute one of the coordinates into y=mx+c
-1=0+c
c=-1
so then y=-1
Answer:
7.92 cubic units
Step-by-step explanation:
The volume formed is V = ∫πx²dy
Now, since y = x³/4, x = ∛(4y). Also if x = 0, y = 0³/4 = 0 and the curve intersects the line y = 1. So the limits of integration are y = 0 to y = 1
So, V = ∫₀¹πx²dy
= ∫₀¹π[ ∛(4y)]²dy
= π(∛4)²∫₀¹[ ∛(y]²dy
= π(∛4)²∫₀¹y^³/₂dy
= π(∛4)²[y^⁵/₂]₀¹
= π(∛4)²[1^⁵/₂ - 0^⁵/₂]
= π(∛4)²[1 - 0]
= π(∛4)²
= 7.92 cubic units
2/10, just simplify the fraction by dividing both numbers by ten.
When multiplying, you add indices
so it's 5^15
when dividing, you minus indices just fyi
