check the picture below.
make sure your calculator is in Degree mode.
Answer:
Linear Function
![y=4x+18](https://tex.z-dn.net/?f=y%3D4x%2B18)
Step-by-step explanation:
Let
x----> the time in hours
y----> the total inches of snow on the ground
we know that
The function that best model this situation is the linear function
so
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
In this problem
![m=4\frac{in}{h}](https://tex.z-dn.net/?f=m%3D4%5Cfrac%7Bin%7D%7Bh%7D)
----> the y-intercept
substitute
![y=4x+18](https://tex.z-dn.net/?f=y%3D4x%2B18)
Answer: 5/3
Step-by-step explanation:
Answer:
(B) ![477=6(1+0.20)^t](https://tex.z-dn.net/?f=477%3D6%281%2B0.20%29%5Et)
Step-by-step explanation:
we can use formula
![P(t)=P_0(1+r)^t](https://tex.z-dn.net/?f=P%28t%29%3DP_0%281%2Br%29%5Et)
where
Po is the initial population
r is the growth rate
t is the time in months
We are given
initial population of insects
so, Po=6
The scientists find that the insect population, x, is growing exponentially 20% per month
so, r=0.20
now, we can plug these values
![P(t)=6(1+0.20)^t](https://tex.z-dn.net/?f=P%28t%29%3D6%281%2B0.20%29%5Et)
there to be a population of 477 insects
so, P(t)=477
now, we plug it
and we get
![477=6(1+0.20)^t](https://tex.z-dn.net/?f=477%3D6%281%2B0.20%29%5Et)
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.