Look at the following graph of the given equation. Determine whether the equation is the function. Explain why or why not.
1 answer:
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Answer:
1) 12.7 cm
2) 8580.24 cm³
Step-by-step explanation:
given,
Radius of moon(Rm) = 1700 Km Radius of Earth(Re) = 6350 km
Model radius of Moon(Mm) = 3.4 cm
2) Volume of earth model =
=
= 8580.24 cm³
1) radius of earth =
=
= 12.7 cm
Answer to problem 1 is (-4, 4)
Answer to problem 3 is (2, 2)
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Explanation:
When the center of a dilation is the origin (0,0), we simply multiply the scale factor by each coordinate.
For problem 1, point U is located at (-2,2). Multiply each coordinate by the scale factor 2 (since it says "dilation of 2") to get (-4,4)
For problem 3, we multiply 0.5 by each coordinate of the point U(4, 4) getting to U ' (2,2)
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The dilation rule used here is where k is the scale factor or dilation factor. This rule only applies if the center of dilation is (0,0). For other centers, you'll need to apply a translation first, dilate, then translate back again.
If k > 1, then the point moves further away from the origin.
If 0 < k < 1, then the point moves closer to the origin.
Complete question :
A company is manufacturing highway emergency ares. Such ares are sup- posed to burn for an average of 20 minutes. Every hour a sample of ares is collected, and their average burn time is determined. If the manufacturing process is working cor- rectly, there is a 68% chance that the average burn time of the sample will be between 14 minutes and 26 minutes. The quality engineer in charge of the process believes that if 4 of 5 samples fall outside these bounds then this is a signal that the process might not be performing as expected. Each morning the sampling begins anew. Let X denote the number of samples drawn in order to obtain the fourth sample whose average value is outside of the above bounds. Find the probability that for a given morning X = 5, hence there seems to be a problem right away.
Answer:
0.0285
Step-by-step explanation:
We are to find the probability for a given morning that X = 5
From the question, we could see that there is a 68% chance that the average burn time of the sample will be between 14 minutes and 26 minutes and the success of the process is obtained after the fourth or fifth sample.
Thus, r = 4; q = 0.68
The probability average burn time falls outside p will be:
p = 1 - 0.68 = 0.32
The random variable X follows negative binomial distribution.
Therefore,
Where, x = 5
r = 4
p = 0.32
Substituting figures in the equation, we have:
= 0.0285
The probability that for a given morning X = 5 is 0.0285