Use the binomial theorem:
In this case,
The 
term occurs for 
:
Answer:
If the game with 3 hits is ignored the data becomes:
- 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11
a) The mean will increase.
<u>With 3:</u>
- (3 + 7*2 + 8*4 + 9*5 + 10*4 + 11*4)/20 = 8.9
<u>Without 3:</u>
- (7*2 + 8*4 + 9*5 + 10*4 + 11*4)/19 = 9.21
b) The median will remain as is.
- With 3 and without the median is same = 9
We can break √10 into √2 • √5, and √8 into √2 • √4, or, simplifying √4 to 2, 2 • √2. Our expression now becomes
(√2 • √5) / (4 • 2 • √2)
Cancelling the √2 in the numerator and denominator gets us
√5/(4 • 2), or √5/8.
250-22 gives you 228 228/6 gives you how much each cake is, each cake is 38 grams
<h3>Answer:</h3>
<h3>Explanation:</h3>
When events are independent the probability of one does not depend on the other.
Here the probability of liking peas overall is 39%, but the probability of liking peas if you're male is 42%. That is, the probabilities are not the same, so the events are dependent.
_____
<em>Comment on answer choices</em>
Selections B and C are both "Dependent," so are correct in that aspect. However, the "reason" given for B has a bogus number (54%) for males liking peas. We have no idea where that number came from. C has the correct reason, so is the appropriate selection.
