Answer:
The Medicare tax helps fund the Hospital Insurance Trust Fund. It's one of two trust funds that pay for Medicare.
Answer:
a)z1 +z2 =z2 + z1 ...proved.
b) z1 + ( z2+ z3 )=(z1+z2)+z3 ... proved.
Step-by-step explanation:
It is given that there are three vectors z1 = a1 + ib1, z2 = a2 + ib2 and z3 = a3 + ib3. Now, we have to prove (a) z1 + z2 = z2 + z1 and (b) z1 + (z2 +z3) = (z1 + z2) + z3.
(a) z1 + z2 = (a1 +ib1) + (a2+ ib2) = (a1 +a2) + i(b1 +b2) {Adding the real and imaginary parts separately}
Again, z2 + z1 =(a2 +ib2) + (a1 +ib1) = (a2 +a1) + i(b2 +b1) {Adding the real and imaginary parts separately}
Hence, z1 +z2 =z2 + z1 {Since, (a1 +a2) = (a2 +a1) and (b1 +b2) = (b2 +b1)}
(b) z1 + ( z2+ z3 ) = [a1 + ib1] + [(a2 + a3 ) + i(b2 + b3 )] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Again, (z1+z2)+z3 = [(a1+a2) +i(b1+b2)]+[a3+ib3] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}
Hence, z1 + ( z2+ z3 )=(z1+z2)+z3 proved.
Answer:
The right solution is "-8.25".
Step-by-step explanation:
The given values are:
Sampled people,
n = 150
Null and alternative hypotheses will be:
The z-statistics will be:
⇒ 
On substituting the values, we get
⇒ 
⇒ 
⇒ 
⇒ 
Given:
tickets for adults - 25
tickets for kids - 15
initial cost - 450
increase in tickets for kids to - 18
cost after increase - 480
let x be number of adults and y be number of kids
25x + 15y = 450
25x + 18y = 480
subtraction:
25x + 15y = 450
<u>-25x - 18y = -480</u>
0 - 3y = - 30
y = -30/-3
y = 10
There are 10 kids.
25x + 15y = 450
25x + 15(10) = 450
25x + 150 = 450
25x = 450 - 150
25x = 300
x = 300/25
x = 12
There are 12 adults.
All in all there are 12 adults and 10 kids.
to check:
25x + 15y = 450
25(12) + 15(10) = 450
300 + 150 = 450
450 = 450
25x + 18y = 480
25(12) + 18(10) = 480
300 + 180 = 480
480 = 480
Answer:
it should equal 68 degrees.
Step-by-step explanation:
if you are looking for the value of m<1, you would first need to find the value of the missing angle on the left triangle. the angles in triangles are equal to 180 degrees, so the equation would be 180 = 50 + 80 + x, and x = 50.
Then move to the middle triangle. The angle you solved for has an angle "connected" to it, its vertical pair, which also equals 50. Then you solve for the last angle, the angle on the right. 180 = 50 + 62 + x, and x = 68.
m<1 is equal to its vertical angle, which is the angle you just solved for. its value should be 68 degrees.
if that wasn't what you were looking for, sorry. hope this helped :)
