Answer:
Add 3 times row 1 to row 2 to obtain the new matrix
Step-by-step explanation:
Attached below is the solution
To obtain the new matrix we will add 3 times Row 1 to row 2
![\left[\begin{array}{ccc}3&-1&-4\\-5&3&8\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-1%26-4%5C%5C-5%263%268%5C%5C%5Cend%7Barray%7D%5Cright%5D)
original matrix
![\left[\begin{array}{ccc}3&-1&-4\\4&0&-4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-1%26-4%5C%5C4%260%26-4%5C%5C%5Cend%7Barray%7D%5Cright%5D)
New Matrix
Answer:
4 consecutive odd numbers are 111, 113, 115 and 117.
Step-by-step explanation:
Let the first odd number be x.
So the next odd number will be (x+2)
and the next two consecutive odd numbers are (x+ 4) and (x+6)
According to question,
The sum of all four odd consecutive numbers = 456
⇒ x + (x+ 2) + (x+4) + (x+6) = 456
or, 4x + 12 = 456
⇒ 4x = 456 - 12 = 444
⇒ x = 444/4 = 111
Hence, the first odd number = 111
Second odd number = 111+ 2 = 113
Third odd number is x + 4 = 111 + 4 = 115
And last odd number is x + 6 = 111 + 6 = 117
So, 4 consecutive odd numbers are 111, 113, 115 and 117.
Answer:
0.166666667 or 166666667 / 1000000000 (as a fraction)
Hope this helped!
Answer:
(a) = 40%
(b) = 28%
(c) Expected value = $222,500
Standard deviation = $7,216.88
Step-by-step explanation:
This is a normal distribution with a = 210,000 and b =235,000
(a) The probability that he will get at least $225,000 for the house is:
(b)The probability he will get less than $217,000 is:
(c) The expected value (E) and the standard deviation (S) are:
Answer:
length = 20 ft, width = 11 ft
Step-by-step explanation:
let w be width, then length = w + 9
The opposite sides of a rectangle are equal , then
2w + 2(w + 9) = 62
2w + 2w + 18 = 62
4w + 18 = 62 ( subtract 18 from both sides )
4w = 44 ( divide both sides by 4 )
w = 11
and w + 9 = 11 + 9 = 20
then width = 11 ft and length = 20 ft
