Step-by-step explanation:
add the like terms 5m + 6n + 8m + 2 = 13m + 6n +2
Answer:
20*30km = 600km
15*30km = 450km
600km * 450km = 270000 km^2
Step-by-step explanation:
assuming 1cm --- 30km causes that 2cm --- 60km, 3cm --- 90km, 4cm --- 120km etc. Notice that number of km's is 30 times greater than the number of cm's on a map
using this logic, you calculate both real dimensions of Colorado by multiplying 20*30 = 600 km and 15*30 = 450km
Then we use a formula of an area of a rectangle
assuming
and get
which is an actual area of Colorado
Answer:
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = 0.0087
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Population = 95
Given that the standard deviation of the Population = 5
Let 'X' be the random variable in a normal distribution
Let X⁻ = 96.3
Given that the size 'n' = 84 monitors
<u><em>Step(ii):-</em></u>
<u><em>The Empirical rule</em></u>
![Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7Bx%5E%7B-%7D%20-mean%7D%7B%5Cfrac%7BS.D%7D%7B%5Csqrt%7Bn%7D%20%7D%20%7D)
![Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B96.3%20-%2095%7D%7B%5Cfrac%7B5%7D%7B%5Csqrt%7B84%7D%20%7D%20%7D)
Z = 2.383
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = P(Z≥2.383)
= 1- P( Z<2.383)
= 1-( 0.5 -+A(2.38))
= 0.5 - A(2.38)
= 0.5 -0.4913
= 0.0087
<u><em>Final answer:-</em></u>
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = 0.0087
Answer:
Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value. A low standard deviation means that most of the numbers are close to the average. A high standard deviation means that the numbers are more spread out.
Step-by-step explanation:
You haven't provided any value, but I can tell you the solution set for the inequality.
First of all, expand both sides:
![-3x+12 > 6x-6](https://tex.z-dn.net/?f=%20-3x%2B12%20%3E%206x-6%20)
Add 3x to both sides:
![12 > 9x-6](https://tex.z-dn.net/?f=%2012%20%3E%209x-6%20)
Add 6 to both sides:
![18 > 9x](https://tex.z-dn.net/?f=%2018%20%3E%209x%20)
Which is of course equivalent to
![9x < 18](https://tex.z-dn.net/?f=%209x%20%3C%2018%20)
Divide both sides by 9
![x < 2](https://tex.z-dn.net/?f=%20x%20%3C%202%20)
So, every number smaller than 2 is part of the solution of this inequality.