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Step-by-step explanation:
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Answer:
N(AUC∩B') = 121
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121
Step-by-step explanation:
Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.
Given;
N(A) = 150
N(B) = 204
N(C) = 206
N(A∩B) = 75
N(A∩C) = 100
N(B∩C) = 98
N(A∩B∩C) = 38
N(Total) = 500
How many students like Reese's Peanut Butter Cups or Snickers, but not Twix;
N(AUC∩B')
This can be derived by first finding;
N(AUC) = N(A) + N(C) - N(A∩C)
N(AUC) = 150+206-100 = 256
Also,
N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135
N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121
N(AUC∩B') = 121
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121
See attached venn diagram for clarity.
The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part
We have to calculate the perimeter of the figure to the nearest tenth of a millimeter. This figure is made of a rectangle and a half of a circle. The first figure has the perimeter: 3 + 6 + 3 = 12 mm. The second figure has the perimeter: 2 * Pi * r / 2 = Pi * r ; and the radius : r = 6/2 = 3 mm. So Pi * 3 = 3.14 * 3 = 9.42. Fimally : 12 + 9.42 = 21.42 or 21.4 to the nearest tenth. Answer: C. 21.4 millimeters<span>. </span>
see the attached figure to better understand the problem
we know that
If a and b are parallel lines
then
m∠1=m∠4 --------> by alternate exterior angles
m∠3+m∠4=
--------> by supplementary angles
so
m∠3+m∠1=
therefore
<u>the answer is the option</u>
m∠1 = 110° and m∠3 = 70°
We know that
the equation of a line in <span>slope intercept form is--------------> y=mx+b
where
m-----------> is the slope
b-----------> is the y-intercept point when x=0
</span><span>y+7=-1/7(x+4)---------> y+7=(-1/7)x-4/7
</span>y+7=(-1/7)x-4/7------> y=(-1/7)x-4/7-7------> y=(-1/7)x-(53/7)
the answer is
y=(-1/7)x-(53/7)-------------> this is the equation of a line in slope intercept form
m=(-1/7)=-0.14
b=(-53/7)=-7.57
y=-0.14x-7.57see the attached figure