A girl is on a train that is headed East at 100 miles per hour. The girl is walking at 5 miles per hour
1 answer:
Answer: The speed is 105 miles/ hr and the direction of the train would be East if the girl is the frame of reference.
Step-by-step explanation:
Since we have given that
Speed of train = 100 miles per hour
Speed of girl = 5 miles per hour
Since the girl is moving towards the back of train.
So,it means train and girl are moving in opposite direction.
So, Relative speed would be
Hence, the speed is 105 miles/ hr and the direction of the train would be East if the girl is the frame of reference.
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Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
Normal Probability Distribution
In a normal distribution with mean and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
- By the Central Limit Theorem, for n instances of a normal variable, the mean is
while the standard deviation is
.
In this problem:
- Mean of 4 candies, hence
.
- Standard deviation of 1.5 candies, hence
.
- She visited 35 houses, hence
The probability is the <u>p-value of Z when X = 122</u>, hence:
By the Central Limit Theorem
has a p-value of 0.
Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.
A similar problem is given at brainly.com/question/24663213
Answer:
Step-by-step explanation:
We can use the cross products property and solve for b.
Hope this helped!