Answer: A) f(x) = (x-5)-8
Explanation:
To shift 5 units to the right, we replace x with x-5. This moves the xy axis 5 units to the left to give the illusion the function curve moves 5 units to the right. The -8 at the end shifts the curve down 8 units.
Answer:
132 degrees
Step-by-step explanation:
1. Find the third angle of the triangle
All the degrees in a triangle up to 180, so subtract 73 and 59 from 180.
180 - 73 - 59 = 48
48 degrees is the measure of the third angle
2. To find the ?, you must know that a straight line has an angle of 180 degrees. Therefore, 180 = 48 + ?
Subtract to get the answer: 132 degrees
Given:
A(3,0)
B(1,-2)
C(3,-5)
D(7,-1)
1) reflect across x=-4
essentially calculate the difference between the x=-4 line and Px and "add" it in the other direction to x=-4
A(-4-(3-(-4)),0)=A(-11,0)
B(-4-(1-(-4)),-2)=B(-9,-2)
C(-4-(3-(-4),-5))=C(11,-5)
D(-4-(7-(-4)),-1)=D(-15,-1)
2) translate (x,y)->(x-6,y+8)
A(-3,8)
B(-5,6)
C(-3,3)
D(1,7)
3) clockwise 90° rotation around (0,0), flip the x&y coordinates and then decide the signs they should have based on the quadrant they should be in
A(0,-3)
B(-2,-1)
C(-5,-3)
D(-1,-7)
D) Dilation at (0,0) with scale 2/3, essentially multiply all coordinates with the scale, the simple case of dilation, because the center point is at the origin (0,0)
A((2/3)*3,(2/3)*0)=A(2,0)
B((2/3)*1,(2/3)*-2)=B(2/3,-4/3)
C((2/3)*3,(2/3)*-5)=C(2,-10/3)
D((2/3)*7,(2/3)*-1)=D(14/3,-2/3)
Answer:
Answer:
P(A) = 0.39
Step-by-step explanation:
We are given;
P(W|A) = 0.7
P(W|A^c ) = 0.3
We are told that 60% of the respondents said they voted for A. Thus;
P(A|W) = 60% = 0.6
Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).
Thus;
P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]
Now, P(A^c) can be expressed as 1 - P(A)
Thus, we now have;
P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]
Plugging in the relevant values gives;
P(W) = 0.7P(A) + 0.3(1 - P(A))
P(W) = 0.7P(A) + 0.3 - 0.3P(A)
P(W) = 0.3 + 0.4P(A)
Now,using Baye's theorem, we can find an expression for P(A|W)
Thus;
P(A|W) = [P(A ∩ W)]/P(W)
This can be further expressed as;
P(A|W) = [P(A) × P(W|A)]/P(W)
Plugging in relevant values, we have;
0.6 = 0.7P(A)/(0.3 + 0.4P(A))
Cross multiply to get;
0.6(0.3 + 0.4P(A)) = 0.7P(A)
0.18 + 0.24P(A) = 0.7P(A)
0.18 = 0.7P(A) - 0.24P(A)
0.46P(A) = 0.18
P(A) = 0.18/0.46
P(A) = 0.39
Step-by-step explanation:
braniest
Answer:
150 yards
Step-by-step explanation:
50 yards=3/4inch
xyards=3inches
50/4=12.5
4*3=12
12.5*12=150
150 yards
