Answer: 
Step-by-step explanation:
7.95 ÷ 1.06 = $7.50
This works as by dividing 7.95 by the percentage multiplier 1.06 it will give you the original amount.
An alternative method is to find out what 100% (7.95) is, then divide by 10 to find 10% and then divide by 10 again to find 1% and then multiply the 1% by 6 and subtracting the answer from 7.95.
Angle 3 and angle 4 are supplementary angles and when added together need to equal 180 degrees.
To find angle 4 subtract angle 3 from 180.
Angle 4 = 180 - 101 = 79 degrees.
The first one is true
<span>4(4a+10) is
</span>16 a + 40 after distribution
The second one is also true
<span>2(8a+20)
16a + 40 after distribution
Third is not true
</span><span>4a(4+10a)
</span><span>16a + 40a^2 after distribution
Last one is also true
</span><span>8(2a+5)
16a + 40 after distribution
Hope this helps :)</span>
Answer:
Choice A
1/17; no, they are dependent events
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Explanation:
There are 13 spades and 52 cards total. So 13/52 = 1/4 is the probability of drawing one spade
If we do not replace the card we pull out, then the probability of another spade is 12/51 since there are 12 spades left out of 51 total.
Multiply the fractions 1/4 and 12/51 to get
(1/4)*(12/51) = (1*12)/(4*51) = 12/204 = 1/17
The two events are not independent because the second event (pulling out a second spade) depends entirely on what happens in the first event (pulling out a first spade). The fact that the probability is altered indicates we have dependent events.
