Answer:
P(blue|small) > P(small|blue)
Step-by-step explanation:
P(blue|small): 7 / (5 + 7) = 7 / 12
P(small|blue): 7 / ( 9 + 7) = 7 / 16
7 / 12 > 7 / 16
Answer:
D
Step-by-step explanation:
x^2+2x-5-(-3x^2-4x+1)
x^2+2x-5+3x^2+4x-1
4x^2+6x-6
Answer:
Step-by-step explanation:
Slope of a line passing through two points
and
is given by the formula,
Slope = 
Slope of the line PQ passing through the two points P(-8, 2) and Q(4, 2) will be,
Slope '
' =
= 0
Therefore, slope of the line PQ parallel to the x-axis = 0
Slope of the line MN passing through the points M(8, 6) and N(8, -8) is,
Slope '
' =
= ∞
Therefore, slope of the line MN parallel to y-axis is undefined.
Since, angle between the x-axis and y-axis is 90°,angle at the intersection point between the lines parallel to x and y axis will be 90°.
These lines are perpendicular to each other.
Answer:
There are 10 pigs and 30 chickens
Step-by-step explanation:
Let the number of pigs be x
let the number of chickens be y
Then there are 40 heads . So the total number of pigs and chickens is 40
x + y = 40-----------------------(1)
We know that pigs have 4 legs and chickens have 2 legs
4x + 2y = 100----------------------(2)
Solving (1) and (2)
multiply (1) by 2
2x + 2y = 80-------------------------(3)
subtract (3) from (2)
4x + 2y = 100
2x + 2y = 80
----------------------------
2x = 20
----------------------------

x = 10
Now Substituting x in (1), we get
10 + y = 40
y = 40 - 10
y = 30
The absolute value is always positive, so the numbers would be 4 and 4.
Those are two equal numbers so it is: equal to
Hope this helps.