Hello!
1.
You have to add all the numbers up in the venn diagram to get how many people participated
18 + 11 + 24 + 8 + 7 + 1 + 17 = 86
The answer is 86 people
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2.
To find how many people like country you add all the numbers in the country circle
8 + 7 + 1 + 17 = 33
The answer is 33 people
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3.
To find how many people likes only country music you look at the number that is only in the country circle
The answer is 17 people
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4.
To find how many people like rap and country you add the numbers that are in both of the circles
1 + 7 = 8
The answer is 8 people
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5.
To find the amount of people that liked rap and country but not rock you look at the number in only the rap and country circle
The answer is 1 person
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6.
To find how many people liked rock or rap you add all the numbers in those circles
18 + 7 + 11 + 24 = 60
The answer is 60 people
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Hope this helps!
Half a dozen = 6
only because a full dozen equals 12
half of 12 = 6.
therefore, the answer is 6.
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
<h3>How to determine the slope of a line perpendicular to another line</h3>
The slope of a function is determined by the secant line formula and is defined by the following expression:
m = Δy / Δx (1)
Where:
- Δx - Change in the independent variable.
- Δy - Change in the dependent variable.
- m - Slope of the line.
Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:
m' = - 1 / m
If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:
m = 3 / 2
m' = - 1 / (3 / 2)
m' = - 2 / 3
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
To learn more on slopes: brainly.com/question/2491620
#SPJ1
Answer:
Step-by-step explanation:
3. Use Cosine law to find the length of the unknown side (PR)
q² = p² + r² - 2prCos Q
q is the opposite side of ∠Q;
p is the opposite side of ∠P; p = 33
r is the opposite sides of ∠R ; r = 67
q² = 33² + 67² - 2* 33*67 Cos 19°
= 1089 + 4489 - 4422 * 0.95
= 1089 + 4489 - 4200.9
= 1377.1
q = √1377.1
q = 37.1
PR = 37.1
To find the angle use law of sin
Sin P = 0.3
P = 17.5°
∠R = 180 - (19 + 17.5)
= 143.5°
Given that the <span>roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.
Given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.
Therefore, it will take you 12.94 minutes to get to the front of the line.
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