Answer:
P(A) = 3/20
Step-by-step explanation:
P(A)=P(blue)P(head)=(3/10)(1/2)=3/20
as there are 10 cards in total, out of which 3 are blue so the probability to get the blue card is, P(blue) = 3/10. and the probability of getting a head when a coin is tossed is P(head) = 1/2.
So in total
P(A) = P(blue)*p(head) = (3/10)*(1/2) = 3/20 = 0.15
Answer:
10
Step-by-step explanation:
Given that:
Point X = (3, 2)
Point Y = (3, - 8)
Distance of point X to Y:
Distance = √(x2 - x1)^2 + (y2 - y1)^2
X1 = 3 ; y1 = 2 ; x2 = 3 ; y2 = - 8
Distance = √(3 - 3)^2 + (-8 - 2)
Distance = √(0)^2 + (-10)^2
Distance = √0 + 100
Distance = √100
Distance = 10
Given data:
X Y
1 0
2 - 2
3 - 4
4 - 6
From the above table,
We have to see what sort of function is it showing.
Therefore,
Taking the first difference of the y-values.
We get,
-2 , -2 , -2
The first difference is constant for all the y-values, that is -2. Therefore it is a linear function,
So,
using the general form,
y = mx + b
where m represent the slope and b represents the y-intercept.
Now,
We will use two coordinate points to find out the slope,
Let them be: (1,0) and (2,-2)
So,
m = 2 / -1
m = -2
Now the y-intercept,
As we know that,
y = -2x + b
Take any point from the table, let it be (1,0)
substituting it into the equation, we get;
0 = -2(1) + b
b = 2
Hence our equation is:
y = - 2x + 2
Factor a 3y² out.
3y²(y-3)
