Which of the following describes the graph of y = StartRoot negative 4 x minus 36 EndRoot compared to the parent square root fun
2 answers:
Answer:
stretched by a factor of 2, reflected over the y-axis, and translated 9 units left
Step-by-step explanation:
The given function is
We can rewrite this function by factoring -4 in the radicand to get:
We further simplify the square root of 4 to get:
The parent function is
When we compare to the parent function, there is a stretch by a factor of 2, reflection over the y-axis, and translation 9 units left
The last option is correct
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Answer:
a. 52%
b. 40%
Step-by-step explanation:
Let A represents the event of raining on Monday and B represents the event of raining in Tuesday,
Then according to the question,
P(A) = 20% = 0.2,
P(B) = 40% = 0.4,
Here, A and B are independent events,
So, P(A∩B) = P(A) × P(B),
⇒ P(A∩B) = 0.2 × 0.4 = 0.08
We know that,
P(A∪B) = P(A) + P(B) - P(A∩B)
a. The probability it rains on Monday or Tuesday, P(A∪B) = 0.2 + 0.4 - 0.08
= 0.52
= 52%
b. The conditional probability it rains on Tuesday given that it rained on Monday,
Answer:
See explanation below.
Step-by-step explanation:
Assuming this problem: "According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let W = the number of days on which the train arrives late. "
For this case we can check if the binomial model can be used checking conditions:
1) We satisfy that we have independent trials and is assumed for this case
2) We have a fixed value for the trials n =6 and for the probability p = 0.9 on each trial
3) We have bernoulli experiments on each trial since we have success or failure for each case.
So then since all the conditions are satisfied we can assume that the binomial model can be used here.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let W the random variable of interest "the number of days on which the train arrives late", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We can find all the possible probabilities for all the possible values of X like this: