Write an equation of the line containing the given point and parallel to the given line. (6,−5); 7x−9y=4
1 answer:
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Answer:
The actual SAT score is 2024.
The equivalent ACT score is 29.49.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
SAT score that is in the 95th percentile
Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that
95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:
The actual SAT score is 2024.
Equivalent ACT score:
The equivalent ACT score is the 95th percentile of ACT scores.
Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that . So
The equivalent ACT score is 29.49.
Answer:
Percentage loss of the number of trees is .
Step-by-step explanation:
Given: After a storm, trees out of
were left standing.
To find: What is the percentage loss of the number of trees?
Solution:
We have,
Total number of trees
Number of trees left standing
Therefore, loss of trees
We now that
Hence, the percentage loss of the number of trees is .