Answer:
f(x) = -½ x - 5x (the 3rd option)
Step-by-step explanation:
f(4)= -½(4) - 5(4)
= -2 - 20
= -22
Answer:
x=−12/5
Step-by-step explanation:
2(1.5x−2)=−0.5(−4x−32)
Step 1: Simplify both sides of the equation.
−2(1.5x−2)=−0.5(−4x−32)
(−2)(1.5x)+(−2)(−2)=(−0.5)(−4x)+(−0.5)(−32)(Distribute)
−3x+4=2x+16
Step 2: Subtract 2x from both sides.
−3x+4−2x=2x+16−2x
−5x+4=16
Step 3: Subtract 4 from both sides.
−5x+4−4=16−4
−5x=12
Step 4: Divide both sides by -5.
−5x−5
=12/−5
x=−12/5
Answer:
0.0045248 ;
0.1312218 ;
0.0001809 ;
0.1659729
Step-by-step explanation:
Number of Kings in deck = 4
Total number of cards in deck = 52
Picking without replacement :
A = King on first draw :
P(A) = 4 / 52
A = King on 2nd draw :
P(B) = 3 / 51
A = King on 3rd draw :
P(C) = 2 / 50
1.) P(A n B) = P(A) * P(B)
P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248
2.) P(A u B) = P(A) + P(B) - P(AnB)
P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218
3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)
P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809
4.) P(A U B U C) =
P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)
P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769
P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529
4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729
200/2.5=80 hope this helps :)
