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Mumz [18]
2 years ago
7

Find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 + 4x + 1. Use the formula V =

l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.
5x5 + 4x4 + x3
5x4 + 4x3 + x2
6x5 + 4x4 + x3
6x4+4x3+x2
Mathematics
1 answer:
Wittaler [7]2 years ago
5 0
Hello!

You find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 + 4x + 1. Use the formula
<span>V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume. 
</span>
Solution:

So in this Case, we can see that the Length = x, Width = x², and Height = 5x2 + 4x + 1.             Remember: (V = l . w . h)<span> 

Use the formula:</span>
<span>V = l ⋅ w ⋅ h,=x×x²×(5x²+4x+1) 
</span>
<span>=x³×(5x²+4x+1) 
</span>
=5x^5+4x^4+x³

I Hope my answer has come to your Help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead! :)

(Ps. Mark As Brainliest IF Helped!)
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A given set of values is found to be a normal distribution with a mean of 140 and a standard deviation of 18.0. Find the value t
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Answer:

The value that is greater than 45% of the data values is approximately 137.84.

Step-by-step explanation:

The key is transforming values from this distribution to a z-score range and finding the corresponding value using a z-score table.

We are looking for a value x which attains a critical z-score that corresponds to the (100-45)%=55-th percentile:

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The critical z value (from z-score table, online) is: -0.12, so:

x = 18\cdot z_{0.55}+140=18\cdot(-0.12)+140\approx137.84

The value that is greater than 45% of the data values is approximately 137.84.


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Answer:

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Step-by-step explanation:

To find the probability, we will consider the following approach. Given a particular outcome, and considering that each outcome is equally likely, we can calculate the probability by simply counting the number of ways we get the desired outcome and divide it by the total number of outcomes.

In this case, the event of interest is  choosing 3 laser printers and 3 inkjets. At first, we have a total of 25 printers and we will be choosing 6 printers at random. The total number of ways in which we can choose 6 elements out of 25 is \binom{25}{6}, where \binom{n}{k} = \frac{n!}{(n-k)!k!}. We have that \binom{25}{6} = 177100

Now, we will calculate the number of ways to which we obtain the desired event. We will be choosing 3 laser printers and 3 inkjets. So the total number of ways this can happen is the multiplication of the number of ways we can choose 3 printers out of 10 (for the laser printers) times the number of ways of choosing 3 printers out of 15 (for the inkjets). So, in this case, the event can be obtained in \binom{10}{3}\cdot \binom{15}{3} = 54600

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