Opposite angles are supplementary, so you have
.. V +T = 180°
.. (15y -4) +(12y-5) = 180
.. 27y -9 = 180
.. y = 189/27 = 7
a) T = (12y -5)° = (12*7 -5)° = 79°
c) V = (15y -4)° = (17*7 -4)° = 101°
.. U +W = 180°
.. (14 +4x) +(6x -14) = 180
.. 10x = 180
.. x = 180/10 = 18
b) U = (14 +4x)° = (14 +4*18)° = 86°
d) W = (6x -14)° = (6*18 -14)° = 94°
Answer: n = 2401
Step-by-step explanation:
Given;
Confidence level = 2% - 99%
n = ? ( which is the sample size is unknown ).
Solution:
Where;
n = [z/E]^2*pq
Since no known value for ( p ) estimate is given, the "least biased" estimate is p = 1/2
Substituting the given data into the formula.
n = [1.96/0.02]^2(1/2)(1/2)
n = 2401
The minimum number of truck drivers the statistician needs to sample for an accurate result is 2401
Answer: 116 degrees.
Step-by-step explanation:
Interior angles of a triangle add to 180.
Knowing the first two angles are 36 and 28, you can subtract them from 180 to find the answer:
180 - 36 - 28 = 116
Answer:
40%
Step-by-step explanation:
Total students = 25
Boys = 15
Girls = 25 - 15 = 10
Percent of girls = 10/25
Percent is out of 100.
=> 10/25 = x/100
=> Cross multiply
=> 25 * x = 100 * 10
=> 25x = 1000
=> 25x/25 = 1000/25
=> x = 40
So, 40% are girls
