Answer:
131 and 49
Step-by-step explanation:
Supplementary angle means 180° when all angles are added together.
First angle: (x + 82)
Second angle: x
(x + 82) + x = 180
2x + 82 = 180
2x = 98
x = 49
First angle: 49 + 82 = 131°
Second angle: 49°
The probability that a region prone to hurricanes will be hit by a hurricane in any single year is one tenth or 0.1
P(at least one) = 1 - P(none in five years)
-----
= 1 - 0.90^5
= 1 - 0.59049
=0.40951 or 0.41.
41% probability that there will be a hurricane at least once in the next 5 years.
Answer: Matrix B is non- invertible.
Step-by-step explanation:
A matrix is said to be be singular is its determinant is zero,
We know that if a matrix is singular then it is not invertible. (1)
Or if a matrix is invertible then it should be non-singular matrix. (2)
Given : A and B are n x n matrices from which A is invertible.
Then A must be non-singular matrix. ( from 2 )
If AB is singular.
Then either A is singular or B is singular but A is a non-singular matrix.
Then , matrix B should be a singular matrix. ( from 2 )
So Matrix B is non- invertible. ( from 1 )
Answer:
1a) t = 0.17b
1b) $36.03
2) 51,167.50
Step-by-step explanation:
1a) 17% converted to a decimal (divide by 100) = 0.17. Multiply that by the amount of the bill (before tipping) to get the amount of the tip
1b) The bill of $248 represents the entire bill (100%) plus the tip amount (17%) which makes 117%. As a decimal, this is 1.17.
To find what the cost was without the tip, divide the bill total by 1.17
248/1.17 = 211.97. That was the bill before the tip was added.
248-211.97 = 36.03 was the tip added.
2) 5.5% converted to a decimal is 0.055
0.55 x 48,500 = 2667.50
$2,667.50 + $48,500 = 51,167.50
Or, you can use what we did in 1b, and his new salary is 1.055 times 48,500
1.055 x 48,500 = 51,167.50
4= 121 5= 49 6= 169 hope this helps
