Answer:
18.75%
Step-by-step explanation:
Hello,
3 students are both female and senior
the total number of students is 7+10+8+5=30
so the probability to select one female senior is 3/30=1/10=0.10
probability to select one female is 16/30=16/30
probability that the student is a senior given that it's female is
=P(female and senior)/P(female)
=1/10*30/16=3/16
hope this helps
By applying the concept of <em>rigid</em> transformation and the equation of translation we conclude that the coordinates of points K' and M' are (-2, 3) and (-4, 1).
<h3>How to apply a translation to a point on a Cartesian plane</h3>
<em>Rigid</em> transformations are transformations applied onto <em>geometric</em> loci such that Euclidean distance is conserved at every point of the loci. Translations are an example of <em>rigid</em> transformations, whose formula is defined by the following expression:
(1)
Where:
- P(x, y) - Original point
- P'(x, y) - Resulting point
- Translation vector
If we know that K(x, y) = (4, 1), M(x, y) = (2, -1) and
, then the coordinates of points K' and M' are:
Point K'
K'(x, y) = (4, 1) + (-6, 2)
K'(x, y) = (-2, 3)
Point M'
M'(x, y) = (2, -1) + (-6, 2)
M'(x, y) = (-4, 1)
By applying the concept of <em>rigid</em> transformation and the equation of translation we conclude that the coordinates of points K' and M' are (-2, 3) and (-4, 1).
To learn more on translations: brainly.com/question/17485121
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Angle BAC
cosφ⁻¹ = (10² + 17² - 11²)/(2*10*17) = 37.9 ≈ 38°
Angle ACB
cosφ⁻¹ = (10² + 11² - 17²)/(2*10*11) = 108.0°
Angle ABC
cosφ⁻¹ = (11² + 17² - 10²)/(2*11*17) = 34.0°
See you !
Answer:
D. linear; y = – 3x –6
Step-by-step explanation:
Answer:
Option (2).
Step-by-step explanation:
From the figure attached,
Since there is a common difference in each successive term and previous term of y,
y_{2}-y_{1}=-9-(-6)
= -3
y_{3}-y_{2}=-12-(-9)
= -3
Therefore, this data represents a linear equation.
Now we choose two points from the table given.
Let the points are (0, -6) and (1, -9)
Slope of this line 'm' = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
m = \frac{-9+6}{1-0} = -3
Y-intercept 'b' = -6
Equation of the line will be,
y = -3x - 6
Option (2) will be the answer.
Answer: The correct answer is c
Step-by-step explanation: you would have to plot your graph and the put the answer in slop intercept for y=mx+b or y=-3x-6
Answer:
exponential; y = –6 • 1.5x
Step-by-step explanation:
1.5 x 1 = 1.5
1.5x-6= -9