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jakobquittner
16.11.2020 •
Mathematics
A group of 7 students was asked, "How many hours did you watch television last week?" Here are their responses. 6,7,9, 7, 13, 6, 11 Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.
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Ответ:
9 is your answer dear.
Step-by-step explanation:
6+6+7+7+9+11+13 = 59 divide it by total numbers which is 7 you'll get 8.43 after rounded it's 9
Ответ:
The y-intercept of AB is (4/3) and the equation of BC is y = (-1/6) x + (4/3)
If the y-coordinate of point C is 13, its x-coordinate is 4.
=====================================
Step-by-step explanation:
AB and BC form a right angle at their point of intersection, B.
So, AB ⊥ BC
A = (14 , -1) , B = (2,1)
Part A: Find the y-intercept of AB.
The general equation of the line y = mx + c
Where: m is the slope and c is constant represents y-intercept.
m = (y₂ - y₁)/(x₂ - x₁)
m =![\frac{1 - (-1)}{2-14} = \frac{2}{-12} = - \frac{1}{6}](/tpl/images/0460/3655/5c74e.png)
y = (-1/6) x + c
Substitute with the point (2,1) to find c
1 = (-1/6) * 2 + c
c = 1 + 2 *(1/6) = 4/3
y = (-1/6) x + 4/3
So, the y-intercept of AB is 4/3
=======================================
Part B: Find the equation of BC.
BC ⊥ AB at point B
if m is the slope of AB, the slope of BC = (-1/m)
m = (-1/6)
So, the slope of BC = (-1/m) = 6
The equation of the line BC ⇒ y = 6x + c
Substitute with the point (2,1) to find c
1 = 6 * 2 + c
c = 1 - 12 = -11
y = 6x - 11
=========================================
Part C: Find x-coordinate of C if y-coordinate of point C is 13.
The equation of the BC is y = 6x - 11
Substitute with the y-coordinate of point C = 13
13 = 6x - 11
6x = 13 + 11 = 24
x = 24/6 = 4