Answer:
The radian measure of the angle drawn in standard position that corresponds with the ray containing the coordinate point 
is approximately 
radians.
Step-by-step explanation:
With respect to origin, the coordinate point belongs to the third quadrant, which comprises the family of angles from 
to 
. The angle in standard position can be estimated by using the following equivalence:
The radian measure of the angle drawn in standard position that corresponds with the ray containing the coordinate point is approximately radians.
Answer:
Slope = ⅚
Step-by-step explanation:
Using the coordinates of two points in the graph, say (0, 0) and (6, 5).
The slope of the graph is ⅚.
The slope represents the ratio of proportion of yellow paint to blue paint that must be mixed together to produce green paint.
This means, to make green paint, for every 5 parts of yellow paint, 6 parts of blue paint is required to be added as a mixture.
Answer:
Step-by-step explanation:
since the two triangles are congruent,
GH = JK
Since, GH = 10 cm
JK is also 10 cm
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The ball describes a parabola, as you can see in the attached picture. So, the point where the ball strike the ground is the point where the parabola meets the x axis. In fact, the x-axis is the set of points where y=0, which means that the ball has height 0 or -again- it hits the ground.
So, we have to set y=0 in our equation and look for the positive solution. We have
And the positive solution is
So that's the distance from the child where the ball strikes the ground.
Answer:
The percent of students who scored below 62 is 2.3%.
Step-by-step explanation:
In statistics, the 68–95–99.7 rule, also recognized as the empirical rule, is used to represent that 68.27%, 95.45% and 99.73% of the values of a Normally distributed data lie within one, two and three standard deviations of the mean, respectively.
Then,
- P (-1 < Z < 1) ≈ 0.6827
- P (-2 < Z < 2) ≈ 0.9545
- P (3 < Z < 3) ≈ 0.9973
Given:
μ = 78
σ = 8
<em>X</em> = 62
Compute the distance between the value of <em>X</em> and <em>μ</em> as follows:
Use the relation P (-2 < Z < 2) ≈ 0.9545 to compute the value of P (Z < -2) as follows:
The percentage is, 0.02275 × 100 = 2.275% ≈ 2.3%
Thus, the percent of students who scored below 62 is 2.3%.
