Answer:
option C
Step-by-step explanation:
given,
α = 1 - 0.95 = 0.05
degree of freedom (df) = 17 -1 = 16
critical value (from t-table)
margin of error =
=2.120\times \sqrt{\dfrac{25.36^2}{17}+\dfrac{25.183^2}{17}}[/tex]
= 2.120 x 8.6467
= 18.33
Margin of error = 18.33
Point estimation of difference =
= 36.235
lower limit = 36.235 - 18.33 = 17.91
upper limit = 36.235 + 18.33 = 54.57
hence, the nearest option near to answer is option C
Answer:
x = 10
Step-by-step explanation:
Here, we are tasked with calculating the value of x.
To do this, we need the picture of the wordings given in the question.
please check the attachment for a pictorial representation.
Now the theorem to use is that , the exterior angle of a triangle is equals the sum of the two opposite interior angle.
Thus, mathematically;
3x + 11 + 3x + 15 = 10x -14
6x + 26 = 10x -14
10x-6x = 26 + 14
4x = 40
x = 40/4
x = 10
