Rewriting input as fractions if necessary:
4/5, 11/2
,For (5, 2) the least common multiple (LCM) is 10.
,Therefore, the least common denominator (LCD) is 10.
,Rewriting as equivalent fractions with the LCD:
8/10, 55/10
Answer is 10
55/10= 5 and 5/10
The equation which relates the mass and length according to the task content is; l = (3/10)m.
<h3>What is the equation of proportionality?</h3>
From the task content, it follows that the proportional relationship is direct. Hence, the constant of proportionality k can be evaluated as follows;
l = k × m
Hence, k = l/m = 9/30 = 3/10.
Therefore, the proportional relationship is given by the equation; l = (3/10)m
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Answer:
The probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
The information provided is:
As the sample size is large, i.e. <em>n</em> = 276 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion.
Compute the value of as follows:
Thus, the probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.
Answer:
0.108³
Step-by-step explanation:
21023÷122³=0.011577...
cube root of 0.11577 = 0.1075988..
therefore, ans = 0.108³