Rata-rata markah matematik untuk Amin, azman dan aziz adalah 73. Tanda Azman lebih 35 berbanding Amin manakala aziz dua kali gan
1 answer:
Answer:
The Amin's score in math was 46.
Step-by-step explanation:
The question is:
The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?
Solution:
Let us denote that:
<em>x</em> = Amin's score in math
<em>y</em> = Azman's score in math
<em>z</em> = Aziz's score in math.
The average of <em>x</em>, <em>y</em> and <em>z</em> is, 73.
That is:
Now it is provided that:
Use the equations (i) and (ii) to determine the value of <em>x</em> as follows:
Thus, the Amin's score in math was 46.
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Answer: first option.
Step-by-step explanation:
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Where is the lenght of the given side of the smaller triangle and
is the lenght of the given side of the larger triangle.
Therefore:
It can be written as following:
The ratio of the perimeter is:
Where is the lenght of the given side of the smaller triangle and
is the lenght of the given side of the larger triangle.
Therefore:
It can be written as following:
Answer:
0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component
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.
Sum of normal variables:
When normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.
The mean values are 20, 15, and 30 min, respectively:
This means that
The standard deviations are 1, 2, and 1.5 min, respectively.
This means that
What is the probability that it takes at most 1 hour of machining time to produce a randomly selected component?
Mean and standard deviation are in minutes, so this is the pvalue of Z when X = 60.
has a pvalue of 0.0314
0.0314 = 3.14% probability that it takes at most 1 hour of machining time to produce a randomly selected component