Answer:
Step-by-step explanation:
Let x be the number.
Sum of five and 8 times a number: 8x + 5
Fifty plus one half of the number: 50 + (1/2)x
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2 answers:
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Answer:
The sequence of transformations involved is a reflection across the x axis, followed by a reflection across the y = x line
Step-by-step explanation:
The polygon ABCD is shown in the image attached. The coordinates of the polygon are A(-6, 6), B(-4, 6), C(-4, 4), D(-6, 2), while the polygon A'B'C'D' is at A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)
A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.
If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y).
If a point O(x, y) is reflected across the y = x line, the new coordinate is O'(y, x)
Hence if polygon ABCD is reflected across the x axis, the new coordinates are A*(-6, -6), B*(-4, -6), C*(-4, -4), D*(-6, -2). If a reflection across the y = x line, the new coordinates are A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)
Answer:
Step-by-step explanation:
Recall that a <em>probability mass function</em> defined on a discrete random variable X is just a function that gives the probability that the random variable equals a certain value k
In this case we have the event
“The computer will ask for a roll to the left when a roll to the right is appropriate” with a probability of 0.003.
Then we have 2 possible events, either the computer is right or not.
Since we have 4 computers in parallel, the situation could be modeled with a binomial distribution and the probability mass function
This gives the probability that k computers are wrong at the same time.
The expected gain or loss is an illustration of mean and expected values.
The expected total gain is 83 points
The given parameters are:
- Addition of 20 points for rolling a 6
- Removal of 3 points for not rolling a 6
The probability of rolling a 6 in a fair die is 1/6.
The probability of not rolling a 6 in a fair die is 5/6.
So, the expected gain in each game is:
Take LCM
The number of games is 100.
So, the expected gain is:
Hence, the expected total gain is 83 points
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