Answer:
a. The Venn diagram is explained in the attached word file.
0.61
b. Not independent
Step-by-step explanation:
a. The hypothetical 1000 table for given situation is
Adult(A) Not Adult (not A) Total
Travel outside (T) 610 170 780
Not Travel outside (not T) 110 110 220
Total 720 280 1000
P(Adult and travel outside)=P(A and T)=610/1000=0.61
b. Multiplication rule for independent events is
P(A and B)=P(A)*P(B)
P(A and T)=0.61
P(A)*P(T)=0.72*0.78=0.56
As P(A and T) is not equal to P(A)*P(T), so event "being an adult" and "travel outside" are not independent.
Answer:
B. Yes; the domain values are at regular intervals and the range values have a common factor 4.
Step-by-step explanation:
I calculated it logically
If you are asking what is the graph of y = 3x^2 -2x+1.
Then, the attached file would be the answer.
To check, b^2 - 4(a)(c), for each equation and use these facts:
If b^2 - 4(a)(c) = 0, there is only one real root meaning, the graph touches the x-axis only in one point.
If b^2 - 4ac > 0, there are two real roots meaning, the graph touches the x-axis in two different points.
If b2 - 4ac < 0, there are no real roots then the graph does not touch the x-axis. This would be the case for y = 3x^2 - 2x + 1.
Solution:
(-2)^2 -4(3)(1) = 4 - 12 = -8 < 0 will result in not real roots.
Answer:
3 cm
Step-by-step explanation:
Set up an equation that solves for the surface area, "112
" :
10(2)+10(2)+2x+2x+10x+10x = 112
20+20+4x+20x = 112
24x+40=112
24x=72
x=3
So, 3 cm.