Answer:
I don't understand what you are asking.
Step-by-step explanation:
Answer: Slope (m) =
ΔY
ΔX
=
8
9
= 0.88888888888889
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Let total number of vegetables be y and number of carrots be x
x+3x=y
4x=y
the smallest whole number is 1
x=1
y=4
Answer:
y = (-7/3)x - 26/3
Step-by-step explanation:
To find the equation of a line given two points, we can first define an equation of a line to be y= mx +b, with m being the slope and b being the y intercept.
To calculate the slope, we can use the formula (change in y)/(change in x), or
(y₂-y₁)/(x₂-x₁). If we define (-2, -4) as point 1 (meaning -2 is x₁ and -4 is y₁) and (-8, 10) as point 2 (it doesn't matter which point is point 1/2), we can say that the slope is equal to
(10-(-4)) / (-8-(-2)
= 14/(-6)
= -7/3
Therefore, our formula so far is
y = (-7/3)x + b
To figure out b, we can plug in a point, e.g. (-8, 10) and solve for b. Plugging this in, we get
10 = (-7/3)(-8) + b
10 = 56/3 + b
subtract 56/3 from both sides
10 - 56/3 = b
= 30/3 - 56/3
= -26/3
Therefore, our equation is
y = (-7/3)x - 26/3
Answer:
A) 2/3
B) 1/3
Step-by-step explanation:
A) Since the bus arrives uniformly at the bus stop between 10 and 10:30.Let X denote the arrival of a bus at a bus stop. Thus X is a uniform tandom variable having a density function;
f(x) = 1/30 : x ∈ [0,30]
Now, probability that a passenger arriving at the bus stop between 10 and 10:30 will have to wait more than 10 minutes can be expressed as;
P[x > 10] = ∫f(x)•dx at boundary of 30 and 10
Thus,
∫(1/30)•dx at boundary of 30 and 10
P[x > 10] = (1/30)•x at boundary of 30 and 10
P[x > 10] = (1/30)(30) - (1/30)(10)
P[x > 10] = 1 - 1/3 = 2/3
B) The probability that the passenger will have to wait additional 10 minutes is given as;
P[X > 25 | X > 15] =P[X > 25 ∩ X > 15]
= (P[X > 25])/(P[X > 15])
= [∫(1/30)•dx at boundary of 30 and 25]/ [∫(1/30)•dx at boundary of 30 and 15]
= [(1/30)•x at boundary of 30 and 25]/[(1/30)•x at boundary of 30 and 15]
= [(30/30) - (25/30)]/[(30/30) - (15/30)]
= (1 - 5/6)/(1 - 1/2)
= 1/6 ÷ 1/2 = 1/3
∩