Answer:
2.04 miles per hour
Step-by-step explanation:
Given
Noel
![n_1 =6miles](https://tex.z-dn.net/?f=n_1%20%3D6miles)
![r_1 = 2mph](https://tex.z-dn.net/?f=r_1%20%3D%202mph)
Casey
![c_1 = 8miles](https://tex.z-dn.net/?f=c_1%20%3D%208miles)
![r_2 =1mph](https://tex.z-dn.net/?f=r_2%20%3D1mph)
Required
The rate at which the distance increases
Their movement forms a right triangle and the distance between them is the hypotenuse.
At
and ![c_1 = 8miles](https://tex.z-dn.net/?f=c_1%20%3D%208miles)
The distance between them is:
![d_1 = \sqrt{n_1^2 + c_1^2}](https://tex.z-dn.net/?f=d_1%20%3D%20%5Csqrt%7Bn_1%5E2%20%2B%20c_1%5E2%7D)
![d_1 = \sqrt{6^2 + 8^2}](https://tex.z-dn.net/?f=d_1%20%3D%20%5Csqrt%7B6%5E2%20%2B%208%5E2%7D)
![d_1 = \sqrt{100}](https://tex.z-dn.net/?f=d_1%20%3D%20%5Csqrt%7B100%7D)
![d_1 = 10miles](https://tex.z-dn.net/?f=d_1%20%3D%2010miles)
After 1 hour, their new position is:
New = Old + Rate * Time
![n_2 = n_1 + r_1 * 1](https://tex.z-dn.net/?f=n_2%20%3D%20n_1%20%2B%20r_1%20%2A%201)
![n_2 = 6 + 2 * 1 = 8](https://tex.z-dn.net/?f=n_2%20%3D%206%20%2B%202%20%2A%201%20%3D%208)
And:
![c_2 = c_1 + r_2 * 1](https://tex.z-dn.net/?f=c_2%20%3D%20c_1%20%2B%20r_2%20%2A%201)
![c_2 = 8 + 1 * 1 = 9](https://tex.z-dn.net/?f=c_2%20%3D%208%20%2B%201%20%2A%201%20%3D%209)
So, the distance between them is now:
![d_2 = \sqrt{n_2^2 + c_2^2}](https://tex.z-dn.net/?f=d_2%20%3D%20%5Csqrt%7Bn_2%5E2%20%2B%20c_2%5E2%7D)
![d_2 = \sqrt{8^2 + 9^2}](https://tex.z-dn.net/?f=d_2%20%3D%20%5Csqrt%7B8%5E2%20%2B%209%5E2%7D)
![d_2 = \sqrt{145}](https://tex.z-dn.net/?f=d_2%20%3D%20%5Csqrt%7B145%7D)
![d_2 = 12.04](https://tex.z-dn.net/?f=d_2%20%3D%2012.04)
The rate of change is:
![\triangle d = d_2 -d_1](https://tex.z-dn.net/?f=%5Ctriangle%20d%20%3D%20d_2%20-d_1)
![\triangle d = 12.04 -10](https://tex.z-dn.net/?f=%5Ctriangle%20d%20%3D%2012.04%20-10)
![\triangle d = 2.04](https://tex.z-dn.net/?f=%5Ctriangle%20d%20%3D%202.04)
Answer:
The eye is made up of three layers: the outer layer called the fibrous tunic, which consists of the sclera and the cornea; the middle layer responsible for nourishment, called the vascular tunic, which consists of the iris, the choroid, and the ciliary body; and the inner layer of photoreceptors and neurons called the nervous tunic, which consists of the retina.
Step-by-step explanation:
-2/3f =9.2
cross multiply
27,6= -2f
divide both sides by 2
f = - 13.8
-1/8n = -2/7
cross multiply
-16 = -7n
divide
n = 2.29
12/20n = -36/44
cross multiply
528 = - 720n
divide
n= -0.733
-64.5g = -25.8
divide both sides by -64.5
g = -0.4
the last one has no variable
Answer:
The mode is pepperoni. This data set isn't numerical.
Step-by-step explanation:
The data set is skewed right.
Answer:
P ( X > 5 ) = 72,2 %
Step-by-step explanation:
The probability of success ( outcomes bigger than 5 )
If dice 1 outcome is 6 no matter wich outcome we get from dice 2 all events are successful, the we have 6 outcomes
If dice 1 outcome is 5 we also have 6 outcomes
If dice 1 outcomes is 4 we have 5 positive outcomes
If dice 1 outcome is 3 we have 4 positive outcomes
If dice 1 outcome is 2 we have 3 positive outcomes
if dice 1 outcome is 1 we have 2 positive outcomes
Total evaluating dice 1: positive outcomes 26
We will get the sames results analysing dice 2 then we have a total of
52 successful events
And total numbers of outcomes is 36 + 36 = 72
Then
P ( X > 5 ) = 52/72
P ( X > 5 ) = 0,722
P ( X > 5 ) = 72,2 %