(2√5 + 3(√7))^2
(2√5 + 3(√7))(2√5 + 3(√7))
4*5 + 6√35 + 6√35 + 9*7
20 + 12√35 + 63
20 + 63 + 12√35
83 + 12√35
The length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.
<h3>What is volume?</h3>
It is defined as a three-dimensional space enclosed by an object or thing.
The question is incomplete.
The complete question is in the picture please refer to the attached picture.
We know the volume of the prism can be calculated:
Volume = base area×length
378 = 27x
x = 378/27 = 14 cm
Thus, the length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.
Learn more about the volume here:
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Answer:
Its 5
Step-by-step explanation:
-3 * 5 = -15 , i.e smaller than 15.
Answer:109.20
Step-by-step explanation:simple answer son
Answer:
We conclude that there has been a significant reduction in the proportion of females.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 400
p = 50% = 0.5
Alpha, α = 0.05
Number of women, x = 118
First, we design the null and the alternate hypothesis
This is a one-tailed test.
Formula:
Putting the values, we get,
Now, we calculate the critical value.
Now, 
Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there has been a significant reduction in the proportion of females.