Answer: a) 83, b) 28, c) 14, d) 28.
Step-by-step explanation:
Since we have given that
n(B) = 69
n(Br)=90
n(C)=59
n(B∩Br)=28
n(B∩C)=20
n(Br∩C)=24
n(B∩Br∩C)=10
a) How many of the 269 college students do not like any of these three vegetables?
n(B∪Br∪C)=n(B)+n(Br)+n(C)-n(B∩Br)-n(B∩C)-n(Br∩C)+n(B∩Br∩C)
n(B∪Br∪C)=
So, n(B∪Br∪C)'=269-n(B∪Br∪C)=269-156=83
b) How many like broccoli only?
n(only Br)=n(Br) -(n(B∩Br)+n(Br∩C)+n(B∩Br∩C))
n(only Br)=
c) How many like broccoli AND cauliflower but not Brussels sprouts?
n(Br∩C-B)=n(Br∩C)-n(B∩Br∩C)
n(Br∩C-B)=
d) How many like neither Brussels sprouts nor cauliflower?
n(B'∪C')=n(only Br)= 28
Hence, a) 83, b) 28, c) 14, d) 28.
Answer:
y = 5/2x + 3
Step-by-step explanation:
Given the point (0, 3) and the slope of 5/2, we can plug those values into the following slope-intercept form:
y = mx + b
where m = slope = 5/2
b = y-intercept (the point in the graph where it crosses the y-axis; it is also value of y when x = 0). The y-coordinate of the given point contains the y-intercept, (0, 3). Therefore, the y-intecept = 3.
Putting these factors together, we can write the following equation:
y = 5/2x + 3
Answer:
54
Step-by-step explanation:
The sum of given angles must be equal to 360°
3x° + 2x° + 90° = 360°
5x + 90 = 360
5x = 270 divide both sides by 5
x = 54
9/16 as a decimal is <span>0.5625. You could divide 9 by 16 to get the answer.</span>
