Answer:
a) True
b) True
c) False
d) True
Step-by-step explanation:
A discrete variable is the one where the values taken by it are possible to count (usually the values are natural numbers)
On the other side, a continuous variable is the one that has an uncountable number of values. (usually the values are real numbers)
Considering these definitions we get:
a)The batting average of Joe’s favorite player is a continuous variable: True, this average can take any number among the real numbers.
b) The number of hot dogs that Joe bought is a discrete variable: True, Joe can only buy 1, 2, 3, 4... hot dogs, this set is countable and therefore is a discrete variable.
c) The number of strikeouts in the game is a continuous variable: False, the strikeouts are natural numbers (1, 2, 3, 4...) and therefore are countable and they are a discrete variable.
d) The Quakes standings in the league is a discrete variable: True. The standing of a team in a league is a discrete variable since it can be 1st place, 2nd place... and therefore it's countable.
Answer:
The slope of line q is 
.
Step-by-step explanation:
We know that line p has a slope of , and that line p and line q are parallel. Parallel lines always have the same slope. Thus, the slope of line q must be as well.
Answer: f(x) = - 7x/17 - 29/17
Step-by-step explanation:
The expression for the function f(x) would be represented in the slope-intercept form, y = mx + c
Where
c represents the y intercept.
m represents the slope of the line.
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
The line passes through (8, - 5) and (- 9, 2),
y2 = 2
y1 = - 5
x2 = - 9
x1 = 8
Slope,m = ( 2 - - 5)/(- 9 - 8) = 7/- 17 =
- 7/17
To determine the intercept, we would substitute x = 8, y = - 5 and m = - 7/17 into
y = mx + c. It becomes
- 5 = - 7/17 × 8 + c
- 5 = - 56/17 + c
c = - 5 + 56/17
c = - 29/17
The equation becomes
f(x) = - 7x/17 - 29/17
It should be 117.5 because in a kite, the angles all add up to 360, and since the remaining unknown angles are the same, you just subtract 38+87 from 360 and divide by 2
