Answer:
surface area of cube
time
Step-by-step explanation:
given data
new volume = 10 time original volume
to find out
what factor surface area change
solution
we consider here side of cube is a
and volume is V
we consider here a is 2
then volume will be v1 = a³ = 2³ = 8
and surface area = 6a² = 6(2)² = 24 ..........1
so if volume increase 10 time
than
V = 10 × v1
a³ = 10 × 8
a³= 80
a = 2 × ∛10
and
surface area increase here
surface area = 6a²
surface area = 6( 2 × ∛10 )²
surface area = 24 ×
............2
so from equation 1 and 2
surface area / surface area = 24 ×
/ 24
surface area = 
so here surface area of cube will be
time
The answer is 7/5 th. You can add fractions without first having a common denominator so you would change the 8's by multiplying it by 5 to get 40 and you would multiply the 5 by 8 to get 40 as well. And the rule whatever you do to the bottom you have to do to the top so whatever you multiplied 8 by do the same for the numerator and whatever you multiplied 5 by you do the same for the numerator. So your new equation would be (75/40+16/40)+(-35/40). you would then add the numerator's across to get 56 and the denominator would stay the same so the answer is 56/40. But you have to now simplify 56/40 down to 14/10 and then once more to 7/5 which is the final answer.
Answer:

Step-by-step explanation:
For this case we assume that the probability of obtain a head is 1/2

We are conducting the experiment 3 times. And we want the probability that exactly the same number of tosses will be required for each of the 3 performances.
We can model the situation like this. Let
the number of tosses used in the performance, for this case 
And the distribution for
would be a negative binomial with the following mass function:

Now we need to assume that the 3 performaces are independent from each other and we want this:

And we can since we have the mass function we can replace:

And as we can see we have a geamotric series and we can find the probability like this:

Answer:
9662.3822
Step-by-step explanation:
Answer:
C
Step-by-step explanation: