Answer:
x = 19
Step-by-step explanation:
Assuming all angle measures are in degrees, the sum of them is 180:
(3x +16) +(4x -15) +(2x +8) = 180
9x +9 = 180 . . . . collect terms
x + 1 = 20 . . . . . . divide by 9
x = 19 . . . . . . . . . .subtract 1
The value of x is 19.
Answer:
b) The width of the confidence interval becomes narrower when the sample mean increases.
Step-by-step explanation:
The confidence interval can be calculated as:

a) The width of the confidence interval becomes wider as the confidence level increases.
The above statement is true as the confidence level increases the width increases as the absolute value of test statistic increases.
b) The width of the confidence interval becomes narrower when the sample mean increases.
The above statement is false. As the sample mean increases the width of the confidence interval increases.
c) The width of the confidence interval becomes narrower when the sample size n increases.
The above statement is true as the sample size increases the standard error decreases and the confidence interval become narrower.
The length of the line segment BC is 31.2 units.
<h2>Given that</h2>
Triangle ABC is shown.
Angle ABC is a right angle.
An altitude is drawn from point B to point D on side AC to form a right angle.
The length of AD is 5 and the length of BD is 12.
<h3>We have to determine</h3>
What is the length of Line segment BC?
<h3>According to the question</h3>
The altitude of the triangle is given by;

Where x is DC and y is 5 units.
Then,
The length DC is.

Squaring on both sides

Considering right triangle BDC, use the Pythagorean theorem to find BC:

Hence, the length of the line segment BC is 31.2 units.
To know more about Pythagoras Theorem click the link given below.
brainly.com/question/26252222
Answer:
15.094 %
Step-by-step explanation:
[(122 - 106) /106] 100
(16/106) 100
(0.15094)x100
15.094
Answer:
7x-2
Step-by-step explanation:
9(x+3)-(2x+5)
9x+3 -2x -5
7x-2