Answer:
Exact form: 
Decimal form: 
The solution for x is: The solution for x is of 10.455º
Step-by-step explanation:
We are given the following equation:
Placing into the desired format, the exact format is:
In the decimal part, we divide 8 by 9. So
Solving for x:
We apply the inverse sine. So
The solution for x is of 10.455º
Answer:
2 face cards
Step-by-step explanation:
By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards. Aces are not considered face cards (no face on the card).
The ratio of face cards in a full deck is (12/52) or slightly over 23%.
The likelihood of a face card in a hand of 8 cards is:
(8 cards)*(12 face cards/52 cards) = 1.85 cards. We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.
Answer:
3x+9 < - 42
Step-by-step explanation:
So,, there are 5 different flavors. A total of 180 people were asked. Hence, the hypothesis that there is no significant difference is that every flavor gets 180/5=36 flavors. x^2=
. In this case, mi is the proportion of the hypothesis, thus 36, n=180 and xi is the number of actual observations. Substituting the known quantities, we get that x^2=9. The degree of association is given by
. This yields around 0.10, much higher than our limit.
