Answer:
A) 1/12
Step-by-step explanation:
The sample space of rolling a die is { 1,2,3,4,5,6}
P (getting 3)= The number of "3"'s in the sample space over the number of items in the sample space
P (getting a 3} = 1/6
P (getting even)= The number of evens in the sample space over the number of items in the sample space
P (getting an even} = 3/6= 1/2
Since these are independent events, we multiply the probabilities
P(3, even) = 1/6 * 1/2 = 1/12
Answer:
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z----> the scale factor
x----> volume of the larger solid
y----> volume of the smaller solid
we have
substitute
step 2
Find the surface area of the larger solid
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z----> the scale factor
x----> surface area of the larger solid
y----> surface area of the smaller solid
we have
substitute
Answer:
-i
Step-by-step explanation:
i^15
Divide the exponent by 4
15/4 = 3 r 3
Take the remainder and use as the exponent
i^3
We know that i^2 = -1
i^3 = i^2 *i
i^3 = -1*i
-i
Oh thats easy. It's a piece of cake. Just use your calculator