Answer:
Step-by-step explanation:
From the given information,
Suppose
X represents the Desktop computer
Y represents the DVD Player
Z represents the Two Cars
Given that:
n(X)=275
n(Y)=455
n(Z)=405
n(XUY)=145
n(YUZ)=195
n(XUZ)=110
n((XUYUZ))=265
n(X ∩ Y ∩ Z) = 1000-265
n(X ∩ Y ∩ Z) = 735
n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)
145 = 275+455 - n(X ∩ Y)
n(X ∩ Y) = 585
n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)
195 = 455+405-n(Y ∩ Z)
n(Y ∩ Z) = 665
n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)
110 = 275+405-n(X ∩ Z)
n(X ∩ Z) = 570
a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)
n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735
n(X ∪ Y ∪ Z) = 50
c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)
n(X ∪ Y ∪ C') = 145-50
n(X ∪ Y ∪ C') = 95
Answer:
p with a little 4 times 3
Step-by-step explanation:
raising a number to the fourth power means that the four is going to be an exponent. an exponent means to do p times its self 4 times. the times the part means to times that result times 3.
Answer:
131.3°, 48.7°
Step-by-step explanation:
Let x represent the larger angle. Then x-82.6 is the smaller one. Their sum is ...
x +(x -82.6) = 180
2x = 262.6
x = 131.3
x -82.6 = 48.7
The two angle measures are 48.7° and 131.3°.
Answer:
The vertex angle = 28 degrees.
Each of the base angles = 76 degrees.
Step-by-step explanation:
The 2 base angles of an isosceles triangle are equal.
The relation between the vertex angle and one of the base angles is as follows:
2x + y = 180 where x = the measure of a base angle and y = the measure of the vertex angle.
Also, from the information given in the question:
x = 3y - 8
so we have the system of equations:
2x + y = 180........(1)
x - 3y = -8...........(2)
Multiply equation (2) by -2:
-2x + 6y = 16......(3)
Adding (1) and (3):
7y = 196
y = 28.
Substituting for y in equation (2):
x - 3(28) = -8
x = -8 + 84
x = 76.
