A company did a survey to compare the popularity of two web browsers. It was found that 75 students used browser A and 40 of tho
se students used browser B also. There were 18 students who did not use browser A but used browser B. There were 7 students who did not use either browser A or browser B.
Using a two-way table, predict the number of students who would use browser B when 300 students participate in the survey.
115
133
162
174
Using a two-way table, predict the number of students who would use browser B when 300 students participate in the survey.
115
133
162
174
2 answers:
Answer:
The correct option is D.
Step-by-step explanation:
It is given that,
The number of students who use browser A = 75.
The number of students who use both browsers A and B = 40.
The number of students who use browsers B but not A = 18.
The number of students who did not use either browser A or browser B = 7.
From the given information, we can make a two way table as shown below.
Total number of students is 100 and 58 of them use browser B.
If 300 students participate in the survey, then the number of students who use browser B is
Therefore the correct option is D.
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Problem 18
Answers:
~P -> Q: "if it is not fall, then the leaves change colors"
~P -> ~Q: "if it is not fall, then the leaves don't change colors"
P -> ~Q: "If it is fall, then the leaves don't change colors"
Q -> ~P: "If the leaves change colors, then it is not fall"
----------
Explanation:
Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.
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Problem 19
Answer: Choice A) 134
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Explanation:
AB = CD
8x = 4x+24
8x-4x = 24
4x = 24
x = 6
BC = 18x+26
BC = 18*6+26
BC = 134
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Problem 20
Answer: Choice C) x = 5 and y = 11
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Explanation:
(anglePQR)+(angleRQS) = 90
(12x-2)+(6x+2) = 90
18x = 90
x = 5
angle TQU = 90
10y-20 = 90
10y = 110
y = 11
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Problem 21
Answer: 99
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Explanation:
The remote interior angles add to the exterior angle (remote interior angle theorem)
(angle RPQ) + (angle PQR) = angle PRS
(3x-29) + (7x-42) = 6x-3
10x-71 = 6x-3
10x-6x = -3+71
4x = 68
x = 68/4
x = 17
angle PRS = 6x-3
angle PRS = 6*17-3
angle PRS = 99
==========================================
Problem 22
Answer: 116
----------
Explanation:
Refer to the diagram below.
Solve 105+x = 180 to get x = 75
Solve 135+y = 180 to get y = 45
Solve x+y+z = 180 to get z = 60
Solve z+82+p = 180 to get p = 38
Solve p+78+q = 180 to get q = 64
Solve q+r = 180 to get r = 116
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Problem 23
Answer: B) between 4 and 44 inches
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Explanation:
We use a variation of the triangle inequality theorem here.
If p is the missing side length, then
24-20 < p < 24+20
4 < p < 44
So,
4 < XY < 44
The side XY cannot be 4 inches and it cannot be 44 inches either.
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Problem 24
4 Answers: A, B, C, D
----------
Explanation:
Same idea as problem 23
24-10 < x < 24+10
14 < x < 34
So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26
In other words, only 12 and 34 are non-answers.
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Problem 25
Answer: C) 84 degrees
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Explanation:
The given exterior angle is 152 degrees
Subtract that from 180 to get the adjacent interior angle 180-152 = 28
Now let's find the missing angle of triangle DEB
D+E+B = 180
28+68+B = 180
96+B = 180
B = 180-96
B = 84
This is the measure of angle DBE
This is also the measure of angle ABC because the two angles are vertical angles.
Vertical angles are always congruent.
