Answer:
the third term wasn't distributed properly the -2 has to multiply by +2 = -4
Step-by-step explanation:
-5x^2y - 3xy^2 - 2(4y+2) - 2.5x^2y
-5x^2y - 3xy^2 - 8y - 4 - 2.5x^2y
-7.5x^2y - 3xy^2 - 8y - 4
Answer:
h(t) = -16t^2 + 40t + 120
h(t) = -16(t^2 - 5/2*t) + 120
h(t) = -16(t^2 - 5/2*t + (5/4)^2 - (5/4)^2) + 120
h(t) = -16(t^2 - 5/2*t + (5/4)^2 - 25/16) + 120
h(t) = -16(t^2 - 5/2*t + (5/4)^2) + 120 + 25
h(t) = -16(t - 5/4)^2 + 145
The rock needs 5/4 = 1.25 seconds to travel to the highest point wich is 145 m high.
This problem is all about probability. It is the study of predicting the likelihood or chances of a certain event to happen out of all the possibilities. It is always expressed as a part of a whole. Therefore, the answer is either in fraction or in percentage.
A standard deck of card consists of 52 cards all in all. There are 13 diamond cards within the deck. So, the probability of getting a diamond card is 1/52. But we are given with a conditional probability. The first draw is sure to pick a diamond. So, the probability for this is 1 or 100%. But we should multiply this to the second scenario which is the 2nd draw. If you picked a card already, that means the total number of cards is 52 less 1. Also, because you already picked a diamond in the first draw, the diamond cards left in the deck is 13 less 1. Therefore, the probability of getting a diamond card in the second draw is
Probability = 1 × 12/51
Probability = 12/51
To find the median, add up the frequency column to find how many trains there were in total. There were 44 trains in total in this grouped frequency table, so work out 44 + 1 2 = 45 2 = 22.5. The median is therefore between the 22nd and 23rd values.
