Answer:
3,240
Step-by-step explanation:
F(x)=
![\sqrt[3]{x+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%2B2%7D%20)
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)
so we have
f(x)=
subsitute f(x) with y
y=
switch x and y
x=
![\sqrt[3]{y+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7By%2B2%7D%20)
solve for y
x=
cube both sides
=y+2
subtract 2 from both sides
=y
subsitute y with f⁻¹(x)
f⁻¹(x)=
the answer is f⁻¹(x)=
Answer:
53.57%
Step-by-step explanation:
We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :
# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)
= 10 * 3 = 30
That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.
# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56
That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:
P (3 girls and 2 boys) = 30/56 = 0.5357
Which means that the probability is 53.57%
Answer:
9/16
Step-by-step explanation:
First we need to know that the dimensions ratio, the surface area ratio and the volume ratio have the following relation:
volume ratio = dimension ratio ^3
surface area ratio = dimension ratio ^2
The volume ratio between small prism and the large prism is 27 / 64.
To find the dimensions ratio, we need to take the cubic root of the volume scale:
dimension ratio = 3√(27/64) = 3/4
Now, to find the surface area ratio, we just need to make the square of the dimension ratio:
surface area ratio = (3/4)^2 = 9/16
Tbh idk I just need help passing a class
