Answer:r=3cm,diameter =6cm and C=18.84cm
Step-by-step explanation:
To find the radius,diameter and circumference according to the diagram drawn above
r=3cm
Diameter=2×3cm
d=6cm
To find the circumference
C=2πr
C=2×3.14×3cm
C=18.84cm
Answer:
At 5% significance level, it is statistically evident that there is nodifference in the proportion of college students who consider themselves overweight between the two poll
Step-by-step explanation:
Given that a poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago.
Let five years ago be group I X and as of now be group II Y
(Two tailed test at 5% level of significance)
Group I Group II combined p
n 270 300 570
favor 120 140 260
p 0.4444 0.4667 0.4561
Std error for differene = 
p difference = -0.0223
Z statistic = p diff/std error = -1.066
p value =0.2864
Since p value >0.05, we accept null hypothesis.
At 5% significance level, it is statistically evident that there is nodifference in the proportion of college students who consider themselves overweight between the two poll
1) <span>Pairs A(2, 5), B(6, 5), and C(6, 1)
point D
Dx=Cx-(Bx-Ax)=(6-(6-2))=2
Dy=Cy=1
</span>the coordinates of vertex D is (2,1)
2) Pairs <span>A(2, 3), B(7, 3), and C(7, -2)
</span>point D
Dx=Cx-(Bx-Ax)=(7-(7-2))=2
Dy=Cy=-2
the coordinates of vertex D is (2,-2)
3) Pairs <span>A(-5, -1), B(1, -1), and C(1, -5)
</span>point D
Dx=Cx-(Bx-Ax)=(1-(1+5))=-5
Dy=Cy=-5
the coordinates of vertex D is (-5,-5)
4) Pairs <span>A(-1, 4), B(7, 4), and C(7, -1)
</span>point D
Dx=Cx-(Bx-Ax)=(7-(7+1))=-1
Dy=Cy=-1
the coordinates of vertex D is (-1,-1)
To find 5/6 of 12, you do 5/6 multiplied by 12
12*5/6 (first multiply 12 by 5 and leave the answer over 6)
60/6 (simplify)
The final answer is 10
Hope this helps!
Answer:
Step-by-step explanation:
Simplifying
W + -2 + 2w = 6 + 5w
Reorder the terms:
-2 + W + 2w = 6 + 5w
Solving
-2 + W + 2w = 6 + 5w
Solving for variable 'W'.
Move all terms containing W to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + W + 2 + 2w = 6 + 2 + 5w
Reorder the terms:
-2 + 2 + W + 2w = 6 + 2 + 5w
Combine like terms: -2 + 2 = 0
0 + W + 2w = 6 + 2 + 5w
W + 2w = 6 + 2 + 5w
Combine like terms: 6 + 2 = 8
W + 2w = 8 + 5w
Add '-2w' to each side of the equation.
W + 2w + -2w = 8 + 5w + -2w
Combine like terms: 2w + -2w = 0
W + 0 = 8 + 5w + -2w
W = 8 + 5w + -2w
Combine like terms: 5w + -2w = 3w
W = 8 + 3w
Simplifying
W = 8 + 3w
