Answer:
false
Step-by-step explanation:
Answer:
y = 1/4x - 2
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is y = 1/4x. Its slope is 1/4. A line parallel to this one will also have a slope of 1/4.
Plug this value (1/4) into your standard point-slope equation of y = mx + b.
y = 1/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -1). Plug in the x and y values into the x and y of the standard equation.
-1 = 1/4(4) + b
To find b, multiply the slope and the input of x (4)
-1 = 1 + b
Now, subtract 1 from both sides to isolate b.
-2 = b
Plug this into your standard equation.
y = 1/4x - 2
This equation is parallel to your given equation (y = 1/4x) and contains point (4, -1)
Hope this helps!
first term and common ratio.
a_=1 and r=-2/3
[?]
Answer:
Step-by-step explanation:
Given
Required
Determine the 7th term
The nth term of a gp is:
So, we have:
b) (b, -c)
c) (-b, c)
d) (-b, -c)
The coordinate of the point C will be (b, c). Then the correct option is A.
The polygon which is having five sides and each side are congruent. And each internal angle of the Pentagon will be of 108 degrees.
The pentagon ABCDE with the coordinate of A, B, C, D, and E are given below.
If a line intersect the shape and the shape look identical on both sides of line, then the line is known as axis of symmetry.
In a regular pentagon, there are five line of symmetry.
In the figure, the y-axis is the axis of symmetry and the axis of symmetry is passing through the point D.
The point C is in the first coordinate, then the abscissa and ordinate will be positive.
Then the coordinate of the C will be (b, c).
Then the correct option is A.
More about the regular pentagon link is given below.
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Answer: a
Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)
Answer:
I think it is undefined.
O B. Y= 2x – 9
O C. y² = x - 2
O D. x² + y² = 9
the answer is B -- no matter the x factor y should be single
Answer:
2/9
Step-by-step explanation:
The Poisson’s distribution is a discrete probability distribution. A discrete probability distribution means that the events occur with a constant mean rate and independently of each other. It is used to signify the chance (probability) of a given number of events occurring in a fixed interval of time or space.
In the long run, fraction of time that it rains = E(Number of days in rainy spell) / {E(Number of days in a rainy spell) + E(Number of days in a dry spell)}
E(Number of days in rainy spell) = 2
E(Number of days in a dry spell) = 7
In the long run, fraction of time that it rains = 2/(2 + 7) = 2/9
Given the parameters of the rainy spell and dry spell, the long-run fraction of time that it rains can be calculated by dividing the mean of the rainy days by the sum of the average rainy and dry days. Hence, it rains roughly 22.22% of the time in the long-term.
The question is asking about the long-run fraction of time that it rains, based on a rainy spell following a Poisson distribution with a mean of 2 days, and a dry spell following a geometric distribution with an average of 7 days, with the sequences being independent.
We are being asked to calculate the proportion of time that it rains in the long-run, given these distribution parameters. The Poisson and geometric distributions are often used in this type of probability assessment.
To tackle this, we need to divide the mean of the rainy days by the sum of the average rainy and dry days. Thus, the long-run fraction of time it rains is given by
So, in the long run, it rains roughly 22.22% (or 2/9) of the time.
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