The second one is the answer
Answer:
Step-by-step explanation:
The temperature falls from 0 degrees to -12.4
0-(-12.4) = 12.4
12.4/13.4 degree per hours
0.9185 degrees/ hour
The <em><u>correct answers</u></em> are:
3/2 - expansion; 1/4 - contraction; 4 - expansion; 0.8 - contraction; -3 - expansion.
Explanation:
A scale factor larger than 1 would be an expansion. The factors we have listed that are larger than 1 are 3/2 and 4.
A scale factor between 0 and 1 would be a contraction. The factors we have listed that are between 0 and 1 are 0.8 and 1/4.
A negative scale factor will result in a larger, inverted figure. This means the scale factor of -3 will be an expansion.
Answer:
One side is 6 (bottom of triangle) and two sides are 8 (two main sides of the triangle)
Step-by-step explanation:
The reason this is is because two sides of a regular triangle are the same while one is not. (The bottom of the triangle) So, the bottom is shorter than the sides.
In a hand of 5 cards, you want 4 of them to be of the same rank, and the fifth can be any of the remaining 48 cards. So if the rank of the 4-of-a-kind is fixed, there are 
possible hands. To account for any choice of rank, we choose 1 of the 13 possible ranks and multiply this count by 
. So there are 624 possible hands containing a 4-of-a-kind. Hence A occurs with probability
There are 4 aces in the deck. If exactly 1 occurs in the hand, the remaining 4 cards can be any of the remaining 48 non-ace cards, contributing 
possible hands. Exactly 2 aces are drawn in 
hands. And so on. This gives a total of
possible hands containing at least 1 ace, and hence B occurs with probability
The product of these probability is approximately 0.000082.
A and B are independent if the probability of both events occurring simultaneously is the same as the above probability, i.e. 
. This happens if
- the hand has 4 aces and 1 non-ace, or
- the hand has a non-ace 4-of-a-kind and 1 ace
The above "sub-events" are mutually exclusive and share no overlap. There are 48 possible non-aces to choose from, so the first sub-event consists of 48 possible hands. There are 12 non-ace 4-of-a-kinds and 4 choices of ace for the fifth card, so the second sub-event has a total of 12*4 = 48 possible hands. So 
consists of 96 possible hands, which occurs with probability
and so the events A and B are NOT independent.
