Answer:
![\[=>x\geq 4\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%5Cgeq%204%5C%5D)
Step-by-step explanation:
Given inequality is ![\[−7\geq13−5x\]](https://tex.z-dn.net/?f=%5C%5B%E2%88%927%5Cgeq13%E2%88%925x%5C%5D)
Simplifying:
![\[5x\geq13+7\]](https://tex.z-dn.net/?f=%5C%5B5x%5Cgeq13%2B7%5C%5D)
![\[=>5x\geq20\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E5x%5Cgeq20%5C%5D)
![\[=>x\geq \frac{20}{5}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%5Cgeq%20%5Cfrac%7B20%7D%7B5%7D%5C%5D)
![\[=>x\geq 4\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%5Cgeq%204%5C%5D)
Hence the solution for the given inequality is represented by ![\[=>x\geq 4\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%5Cgeq%204%5C%5D)
This means that the original inequality will be true only for those values of x which are greater than or equal to 4.
10% of 180 is 18, so over 2 years that is 20%, so 36 dollars.
Answer:
<em>The correct option is: 11.5</em>
Step-by-step explanation:
Suppose, the length of the unknown side is 
So, here the length of hypotenuse is 14 and the lengths of other two sides are 8 and
.
As the given triangle is right angle triangle, so <u>using Pythagorean theorem</u>, we will get.........

<em>(Rounded to the nearest tenth)</em>
So, the length of the unknown side is 11.5
Answer:
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given mean of the Population = 25cm
Given standard deviation of the Population = 2.60
Let 'x' be the random variable in normal distribution
Given x=22

<u><em>Step(ii):</em></u>-
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = P( Z<-1.15)
= 1-P(Z>1.15)
= 1-( 0.5+A(1.15)
= 0.5 - A(1.15)
= 0.5 - 0.3749
= 0.1251
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251