Answer:
x = 11, y = 3
Step-by-step explanation:
(13x - 19) and (9x + 25) are corresponding angles and congruent, thus
13x - 19 = 9x + 25 ( subtract 9x from both sides )
4x - 19 = 25 ( add 19 to both sides )
4x = 44 ( divide both sides by 4 )
x = 11
Then
13x - 19 = 13(11) - 19 = 143 - 19 = 124
(17y + 5) and 124 are alternate angles and are supplementary, thus
17y + 5 + 124 = 180, that is
17y + 129 = 180 ( subtract 129 from both sides )
17y = 51 ( divide both sides by 17 )
y = 3
X=36.... because 17-36=19
Answer:
(3,2)
Step-by-step explanation:
The standard form: Ax + By = C
y = 90 - 15x <em>add 15x to both sides</em>
<h3>15x + y = 90</h3>
Answer:
Mean age: 48
Standard deviation: 4
Step-by-step explanation:
a) Mean
The formula for Mean = Sum of terms/ Number of terms
Number of terms
= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10
= 480/10
= 48
The mean age is 48
b) Standard deviation
The formula for Standard deviation =
√(x - Mean)²/n
Where n = number of terms
Standard deviation =
√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]
= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10
=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10
=√160/10
= √16
= 4
The standard deviation of the ages is 4
