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
Answer:
180 mm
Step-by-step explanation:
height : cases
105 : 7
constant of proportionality = 105/7
height of 12 cases = 12 x 105/7 = 180 mm
Answer: A. $907.10
B. $628.236
Step-by-step explanation:
For the first 40 hours, Ms.Donaldson will earn: = 40 × $18.80 = $752.0
We are informed that Ms.Donaldson worked 45.5 hours, this means that she worked an extra 5.5 hours. The amount paid for the extra hour will be:
= 5.5 × 1.5 × 18.8
= $155.10
The amount she earned will be:
= $752.0 + $155.10
= $907.10
B. A health incurrence payment of $34.55 was deducted from Ms.Donaldson's earnings for the week. Therefore, the amount she will have after the deduction will be:
= $907.10 - $34.55
= $872.55
After the incurrence deduction, payroll taxes equal to 28% of the balance were deducted. What was the amount that Ms.Donaldson received afterwards?
This will be:
= $872.55 - (28% × $872.55)
= $872.55 - (0.28 × $872.55)
= $872.55 - $244.314
= $628.236
