Answer: P(5A) = 0
Step-by-step explanation:
There are four aces in total in a 52 card deck. Therefore the probability of getting 5 aces can be expressed as;
P(5A) = 4/52 × 3/51 × 2/50 × 1/49 × 0/48 = 0
Therefore, it is impossible to get 5 aces from a standard 52 cards deck
Answer:
x=2/9,y=26/9
Step-by-step explanation:
This is a simultaneous equation
16x+5y=-2..(1)
4x-y=-2...(2)
From (2) make y the subject of formula
y=4x+2..(3)
Substitute (3) into (1)
16x+5(4x+2)=-2
16x+20x+10=-2
36x-10=-2
Add 10 to both sides
36x=8
Divide both sides by 36
x=8/36
Divide both denominator and numerator by 4
x=2/9
Substitute the value x into (3)
y=4(2/9)+2
y=8/9+2
Let the LCM be 9
y=8+18/9
y=26/9
Therefore x=2/9,y=26/9
Answer:
$33
Step-by-step explanation:
From the question, $22 is correct
If Helen Ming receives travel allowance of $220 from her company for time away from home
She has a 10% income tax rate
The amount she has to pay in taxes for the employee benefits is
10% of $220
10/100*$220
=0.1*$220
=$22
So you are correct
The only reason why you could be wrong is if the question is different from what you posted above just like the below question
Helen Ming receives a travel allowance of $220 each week from her company for time away from home. If this allowance is taxable and she has a 15 percent income tax rate, what amount will she have to pay in taxes for this employee benefit?
Here the amount she has to pay for the employee benefits is
15% of $220
15/100*$220
=0.15*$220
=$33
Answer:
Improper fraction: 39/34
Proper fraction: 1 5/34
Decimal: 1.147 (rounded to the nearest thousandths).
Step-by-step explanation:
Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:
4 7/8 ÷ 4 1/4
First, change all fractions into improper fractions:
4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8
4 1/4 = (4 * 4)/4 + 1/4 = 16/4 + 1/4 = 17/4
Next, find common denominators. Note that what you do to the denominator, you must do the numerator:
(17/4) * (2/2) = (34/8)
39/8 ÷ 17/4
Solve. First, change the division sign into multiplication, and then flip the second fraction:
39/8 ÷ 17/4 = 39/8 x 4/17
Multiply straight across:
39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.
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