Math i will give a lot of points −5 1/2 −2 1/3
1 answer:
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Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.
The score that cuts off the bottom 2.5% is 48.93.
Answer:
We conclude that the area of the right triangle is:
Hence, option A is correct.
Step-by-step explanation:
From the given right-angled triangle,
- Base = p+1
- Perpendicular = 2p-6
Using the formula to determine the area of the right-angled triangle
Area of the right triangle A = 1/2 × Base × Perpendicular
Factor 2p-6: 2(p-3)
Divide the number: 2/2 = 1
Therefore, we conclude that the area of the right triangle is:
Hence, option A is correct.