What is the equation for the line
1 answer:
The model equation for any line is
y = mx + b,
where m is slope and b is y-intercept (where the line intersects the y-axis).
The slope is change in y over change in x. You can find the slope by picking two points. The numerator will be the difference in y-coordinates, and the denominator will be the difference in x-coordinates.
As an equation, this is
slope =
,
where the two points are (x1, y1) and (x2, y2).
Let's pick two points to find the slope: (0, 5) and (3, -7).
The slope is
Now that we have the slope m = -4, we need to find the y-intercept b. The line crosses the y-axis at 5, so b = 5.
The equation is y = -4x + 5
y = mx + b,
where m is slope and b is y-intercept (where the line intersects the y-axis).
The slope is change in y over change in x. You can find the slope by picking two points. The numerator will be the difference in y-coordinates, and the denominator will be the difference in x-coordinates.
As an equation, this is
slope =
where the two points are (x1, y1) and (x2, y2).
Let's pick two points to find the slope: (0, 5) and (3, -7).
The slope is
Now that we have the slope m = -4, we need to find the y-intercept b. The line crosses the y-axis at 5, so b = 5.
The equation is y = -4x + 5
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It is given the probability that a dancer like ballet is 0.35
So, P(B) = 0.35
It is given the probability that a dancer like tap is 0.45
So, P(T)= 0.45
The probability that he likes both ballet and tap is 0.30
So,
the probability that the dancer likes ballet if we know she likes tap. This is the case of conditional probability.
So,
= 0.666
= 0.67
Therefore, the probability that the dancer likes ballet if we know she likes tap is 0.67.
Option 3 is the correct answer.
Answer:
The height of the building is
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
we have
substitute and solve for BC
Find the height of the building
The height of the building (h) is equal to
