Number of students in senior class is 130
<em><u>Solution:</u></em>
Given that Every student in the senior class is taking history or science
85 of them taking both history and science
106 seniors takes history
109 seniors takes science
To find: number of students in senior class
Let A be the set of the students of the senior class that take history
Let B be the set of students of senior class that they science
The number of students in senior class is given by:
Where,
A = 106 and B = 109 and |A n B| = 85
Thus number of students in senior class is 130
Using rounding I would change 198 to 200 and 727 to 730.
200 + 730 = 930. Some would change the 727 to 700 but I see no need to do that. My answer will be closer using 200+730.
You can also get the exact answer like this - when you raise 198 to 200, you raised it by 2 so to compensate, take 2 away from the other number and 727 becomes 725
I can do 200 + 725 = 925 in my head and that happens to be the exact answer.
Answer:
17.74
Step-by-step explanation:
The fraction is easily converted to one with a denominator of 100 (a power of 10):
Then the number of interest is ...
17 37/50 = 17 74/100 = 17.74
Answer:
b = y-intercept; The equation is y = mx + b. The x and y variables remain as letters, but m and b are replaced by numbers (ex: y = 2x + 4, slope = 2 and y-intercept = 4). The following video will show a few examples of understanding how to use the slope and intercept from an equation.
Vertex (4, -13) y = x^2 - 8x + 3 x-coordinate of vertex: x = -b/(2a) = 8/2 = 4 y-coordinate of vertex: y(4) = 16 - 32 + 3 = -13 Vertex (4, -13) To find y-intercepts, make x = 0 --> y = 3 To find x-intercepts, solve the quadratic equation y = 0 Use the improved quadratic formula D = d^2 = b^2 - 4ac = 64 - 12 = 52 --> d = +- 2sqrt13 There are 2 x-intercepts (2 real roots): x = -b/(2a) +- d/(2a) = 8/2 +- (2sqrt13)/2 = 4 +- sqrt13 graph{x^2 - 8x + 3 [-40, 40, -20, 20]}
Step-by-step explanation:
Answer:
11,000
Step-by-step explanation:
Average or Mean= sum of goods/ total number of goods
Average= 6,000+12,000+20,000+8,000+9,000/5
= 55,000/5
= 11,000
