We have to calculate the probability of picking a 4 and then a 5 without replacement.
We can express this as the product of the probabilities of two events:
• The probability of picking a 4
,
• The probability of picking a 5, given that a 4 has been retired from the deck.
We have one card in the deck out of fouor cards that is a "4".
Then, the probability of picking a "4" will be:
The probability of picking a "5" will be now equal to one card (the number of 5's in the deck) divided by the number of remaining cards (3 cards):
We then calculate the probabilities of this two events happening in sequence as:
Answer: 1/12
Y = 18( 0.58) ^t
It would be written as :
Y = 18(0.11) ^ (t/4)
Y = 18 (0.11 ^ (1/4)) ^ t
But
0.11 ^ (1/4) = 0.5759
Plug the value
Y = 18 (0.5759) ^ t
Two decimal point :
Y = 18 (0.58) ^ t
21:3
9:3
3:1
there all a 3:1 ratio
ANSWER
D. rotation, translation, reflection
EXPLANATION
Dilation is not a rigid motion.
When the triangle is dilated the image triangle may become bigger ( magnification) or smaller (reduction).
When the scale factor is negative 1, a congruent triangle is obtained.
Hence dilation will not always produce a congruent triangle.
Rotation, reflection and translation are rigid motions and hence will always produce a congruent triangle.
