Answer:
$1,320
Step-by-step explanation:
To find the area of the bedroom, you must multiply the length and the width. 15 multiplied by 12 is 180, so the area of the bedroom is 180 square feet. There are three feet in a yard, so you must divide the area of the bedroom in feet by 3 in order to get the area of the bedroom in yards. 180 divided by 3 is 60, so the area of the bedroom is 60 square yards. In order to find how much it will cost to carpet the room, you must multiply the area of the bedroom in yards by how much carpeting costs per square yard. 60 multiplied by 22 is 1,320, so it will cost $1,320 in order to carpet the room.
Step-by-step explanation:
-x/3 < -4
-x < -12
x > 12
5x +11 ≤ -4
5x ≤ -4-11
5x ≤ -15
x ≤ -3
therefore, the solution is
x ≤ -3 or x > 12
Let the marks of Devi be x and Ali be y.
So, the equations:
2y = x <em>and</em> y + 16 = x
So,
2y = y + 16. [ because we know equals are equal to equals]
=> 2y - y = 16
=> y = 16
Check
Ali's marks are half of Devi's marks.
Devi's marks are 16 more than alis.
So, Devi's marks will be 16×2 = 32 and 32 is 16 greater than 16 (16+16=32).
Answer:
It is first answer
Step-by-step explanation:
The variance for the data is 17,507. 5.
Given
The weekly salaries of a sample of employees at the local bank are given in the table below.
Employee Weekly Salary Anja $245 Raz $300 Natalie $325 Mic $465 Paul $100.
<h3>Variance</h3>
Variance is the expected value of the squared variation of a random variable from its mean value, in probability and statistics.
The mean value of the salaries of employees is;
![\rm Mean= \dfrac{245+300+325+465+100}{5}\\\\Mean=287](https://tex.z-dn.net/?f=%5Crm%20Mean%3D%20%5Cdfrac%7B245%2B300%2B325%2B465%2B100%7D%7B5%7D%5C%5C%5C%5CMean%3D287)
The variance is given by;
![\rm Variance=\sqrt{\dfrac{(245-287)^2 +(300-287)^2 +(325-287)^2 +(465-287)^2 +(100-287)^2}{5-2}} \\\\Variance = 132.316}\\\\On \ Squaring \ both \ the \ sides\\\\Variance^2=17,507. 5](https://tex.z-dn.net/?f=%5Crm%20%20Variance%3D%5Csqrt%7B%5Cdfrac%7B%28245-287%29%5E2%20%2B%28300-287%29%5E2%20%2B%28325-287%29%5E2%20%2B%28465-287%29%5E2%20%2B%28100-287%29%5E2%7D%7B5-2%7D%7D%20%5C%5C%5C%5CVariance%20%3D%20132.316%7D%5C%5C%5C%5COn%20%5C%20Squaring%20%5C%20both%20%5C%20the%20%5C%20sides%5C%5C%5C%5CVariance%5E2%3D17%2C507.%205)
Hence, the variance for the data is 17,507. 5.
To know more about variance click the link given below.
brainly.com/question/7635845