Answer:
bottom of graph will move from (0,0) to point (1,3) after transformation
Step-by-step explanation:
given
original : f(x) =
transformed; g(x) = + 3
look at this way g(x) = + k
if (x-h), h>0, move h units to the right
if k>0, move k units up
the bottom of the graph will be at point (1,3)
Answer:
The probability that the card will be a heart or a face card is P=0.4231.
Step-by-step explanation:
We have a standard deck of 52 cards.
In this deck, we have 13 cards that are a heart.
We also have a total of 12 face cards (4 per each suit). So there are 3 face cards that are also a heart.
To calculate the probability that a card be a heart or a face card, we sum the probability of a card being a heart and the probability of it being a face card, and substract the probability of being a heart AND a face card.
We can express that as:
Answer:
There is a probability of P=0.94 that at least 81 rolls are needed to get the sum of 307.
Step-by-step explanation:
The roll of a six-sided die sum has this parameters:
Mean: 3.5
Standard deviation: 1.7
If the die is rolled 81 times, the distribution of the sum of the 81 rolls will have the following parameters:
Note: the variance of the sum of random variables is equal to the sum of the variance of the individual variables.
Then, we can calculate the probabilties that the sum of 81 rolls is lower than 307.
There is 94% of chances that the sum of 81 rolls is lower than 307, so there is a probability of P=0.94 that at least 81 rolls are needed to get the sum of 307.