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1 answer:
The length of AL in the triangle is 12cm.
<h3>How to calculate the value?</h3>From the information given, angle C = 90° and BAC is given as 2ABC.
In this case, the length of angle BC is given as 24cm. Therefore, the length of AL will be:
= 24/2
= 12..
Therefore, AL = 12cm
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Answer:
1. The probability that x will be more than 25 is 0.6305.
2. The 55th percentile is 26.38.
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.
Mean 26 and standard deviation 3.
This means that
1 Find the probability that x will be more than 25.
This is 1 subtracted by the p-value of Z when X = 25. So
has a p-value of 0.3695.
1 - 0.3695 = 0.6305.
The probability that x will be more than 25 is 0.6305.
2 Find the 55th percentile of x.
This is X when Z has a p-value of 0.55, so X when Z = 0.125.
The 55th percentile is 26.38.
Answer:
2yrs
Step-by-step explanation:
Given parameters:
Amount of interest earned = $40
Principal = $400
Interest rate = 5%
Unknown:
Time taken for the money to be in bank = ?
Solution:
The formula for interest is given as:
I =
Where I is the interest
P is the principal
R is the rate
T is the time
So;
100I = PRT
T = =
= 2yrs