A downhill skier was able to move 560 meters in 25 seconds. What is the skier’s average speed? (Round your answer to the nearest
1 answer:
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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:
a) Mean = 1030; Standard deviation = 12.38.
b) The county result is unusually high.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
(a) Find the mean and standard deviation for the number of high school graduates in groups of 1210 Americans over the age of 25.
This first question is a binomial propability distribution.
We have a sample of 1210 Amricans, so .
The mean of the sample is 1030.
The probability of a success is .
The standard deviation of the sample is
(b) Is that county result of 1030 unusually high, or low, or neither?
The first step is find the zscore when .
Then we find the pvalue of this zscore.
If this pvalue is bigger than 0.95, the county result is unusually high.
If this pvalue is smaller than 0.05, the county result is unusually low.
Otherwise, it is neither.
The national mean is 82%. So,
has a pvalue of 0.9989.This means that the county result is unusually high.
Answer:
Step-by-step explanation:
We want to find h and k in:
At the inflection point, the second derivative is equal to zero, so:
Then x - h = 0.
Inflection point is located at (1, -2), replacing this x value we get:
1 - h = 0
h = 1
We know that the point (-2.5, -3.5) belongs to the function, so:
k ≈ -2
All data, used or not, are shown in the picture attached.
