Answer: 0.00153
Step-by-step explanation:
Given: An experiment consists of dealing 7 cards from a standard deck of 52 playing cards.
Number of ways of dealing 7 cards from 52 cards =
Since there are 13 clubs and 13 spades.
Number of ways of getting exactly 4 clubs and 3 spades=
Now, the probability of being dealt exactly 4 clubs and 3 spades
Hence, the probability of being dealt exactly 4 clubs and 3 spades = 0.00153
Answer:
a) The equation has the greatest slope.
Step-by-step explanation:
The table has the values as shown below;
x y
1 3
2 6
3 9
The gradient of the line can be found as;
m=Δy/Δx
m= 9-3 /3-1
m= 6/2
m₁= 3
The equation of the other line is : y=4x
The gradient is , m₂ = 4
The presentation with the greatest slope is the equation that has a slope of 4.
Answer:
(-19 , -7)
Step-by-step explanation:
y - x = 12
y + x = -25 we sum them to get
2y = -14 , y = -7
then we put -7 instead of y in any of the equations:
-7 - x = 12
-x = 19
x = -19,
finally (x , y) is (-19 , -7)
m∠AOC = 108°
m∠AOC = 3m∠AOB
⇒m∠AOB = (m∠AOC) / 3 = 108 / 3 = 36°