Answer:
261 adults, 271 senior citizens, 302 children
Step-by-step explanation:
Let's define our variables
x: adults
y: senior citizens
z: children
From this "834 tickets sold" we have that
x+y+z=834 (1)
From this "There were 41 more children that adults" we have that
x+41=z (2)
From This "the paid revenue was $11,338" we have that
23x+13y+6z=11338 (3)
If we plug (2) in (1) and (3) we get:
x+y+x+41=834
2x+y=793
y=793-2x (4)
23x+13y+6(41+x)=11338
23x+13y+6x=11338-246
29x+13y=11092 (5)
plugging (4) in (5)
29x+13(793-2x)=11092
29x+10309-26x=11092
3x=783
x=261 adults (6)
(6) in (4)
y=793-2(261)=271 senior citizens
(6) in (2)
261+41=z
z=302 children
I basically just used guess and check for this question and ended up with a set of five numbers, which are 5,6,8,8,13
Mean: 5+6+8+8+13 divided by five is eight,so that's correct
The mode is eight so that's correct
The median is eight too so that's correct
Answer:
a. 〈4,3〉
b. 〈-2,7〉
c. 〈11,4〉
Step-by-step explanation:
a. u + v
〈1,5〉 + 〈3, −2〉
〈1+3,5-2〉
〈4,3〉
b. u - v
〈1,5〉 - 〈3, -2〉
〈1-3,5-(-2)〉
〈-2,7〉
c. 2u + 3v
2*〈1,5〉 + 3*〈3,-2〉
〈2*1,2*5〉 + 〈3*3,3*(-2)〉
〈2,10〉 + 〈9,-6〉
〈2+9,10-6〉
〈11,4〉
To draw the vectors, let's put them on the origin (0,0), so let's draw the line until the point of its component form, with an arrow. The vectors are shown below.
Answer:
-1/2 -i
Step-by-step explanation:
The midpoints is found by adding the real part and dividing by 2 and then the imaginary part and dividing by 2
(-2 +1)/2, (-5+3)i/2
-1/2, -2i/2
-1/2 -i
