The height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.
<h3>What is a rectangular prism?</h3>
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
From the figure:
Volume = 2500 cubic ft
(10)(x)(25) = 2500
250x = 2500
x = 10 ft
Thus, the height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.
Learn more about the rectangular prism here:
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Answer: C) 4 x 3 cm
Step-by-step explanation:
The only dimension affected by the cut was 5, because the cut was perfectly parallel to the 4x3 face.
Answer:
firstly
we all know that the angles of a triangle they all add up to 180° meaning when you add them all they must give you 180°
88°+33°+L = 180° ( sum of angle in a ∆)
121° + L = 180°
L = 180° - 121°
L = 59°
Step-by-step explanation:
first you you must add all your angles and all equal to 180°
that you add the like terms
than you transpose 121° to the right hand side
Well, you can cancel out the b and e, so a/c = f/d.
Then you cancel out a on the left side of the equation by multiplying both sides by 1/a which then gives you c = f/ad.
Hope this helps!
Answer:
There is a 0.82% probability that a line width is greater than 0.62 micrometer.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.
In this problem
The line width used for semiconductor manufacturing is assumed to be normally distributed with a mean of 0.5 micrometer and a standard deviation of 0.05 micrometer, so .
What is the probability that a line width is greater than 0.62 micrometer?
That is
So
Z = 2.4 has a pvalue of 0.99180.
This means that P(X \leq 0.62) = 0.99180.
We also have that
There is a 0.82% probability that a line width is greater than 0.62 micrometer.