(3a^2b^4)^2(2ab^2) A A A A A A A A A A A
1 answer:
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Answer:
The answer is below
Step-by-step explanation:
Let us assume that the length of the square be x. Therefore the area of the square is given as:
Area of square = length × length = x × x = x²
Given that the length of one side of the rectangle is twice the length of the other side. Let the length of the small side be a therefore the length of the long side = 2a
The area of the rectangle = length of small side × length of long side = a × 2a = 2a²
Since both the rectangle and square are to occupy the same space, hence:
Length of small side = a = , length of long side = 2a =
The length of the sides are length of the square side divide by √2 () and twice the length of the square side divide by √2 (
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Answer:
The critical value for this hypothesis test is 6.571.
Step-by-step explanation:
In this case the professor wants to determine whether the average number of minutes that a student needs to complete a statistics exam has a standard deviation that is less than 5.0 minutes.
Then the variance will be,
The hypothesis to determine whether the population variance is less than 25.0 minutes or not, is:
<em>H</em>₀: The population variance is not less than 25.0 minutes, i.e. <em>σ²</em> = 25.
<em>Hₐ</em>: The population variance is less than 25.0 minutes, i.e. <em>σ²</em> < 25.
The test statistics is:
The decision rule is:
If the calculated value of the test statistic is less than the critical value, then the null hypothesis will be rejected.
Compute the critical value as follows:
*Use a chi-square table.
Thus, the critical value for this hypothesis test is 6.571.
