Answer:
460 is part of the confidence interval, which means that we cannot say that there is significant evidence that the mean mathematics SAT score for entering freshmen class is greater than 460
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of .
That is z with a pvalue of , so Z = 2.575.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 436 - 27.4 = 408.6.
The upper end of the interval is the sample mean added to M. So it is 436 + 27.4 = 463.4.
460 is part of the confidence interval, which means that we cannot say that there is significant evidence that the mean mathematics SAT score for entering freshmen class is greater than 460
Answer:
243 cm³
Step-by-step explanation:
A cube has the same measure in length, width and height. So, we know that the area of the top face of a cube is 9 square centimeters, this means that
Length x width = 9 square centimeters
But, since length and width are the same, we have that they are equal to cms (since 3² = 9).
Thus, the volume of each cube is 3³ = 27 cm³
We are going to use 9 of these cubes to make a rectangular prism, therefore, the volume of this prism is going to be 9 times the volume of each cube.
Volume of prism = 9 (27) = 243 cm³
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Answer:
<h2>x² + 7x - 7</h2>
Step-by-step explanation:
f(x)=7x-3 and g(x)=x²-4
(f+g)(x) = f(x) + g(x) = 7x - 3 + x²- 4
= x² + 7x - 7
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