Answer: Magnum = $2.10
Paddlepop = $1.20
<u>Step-by-step explanation:</u>
Let M represent Magnum and P represent Paddlepop, then create a system of equations using the cost as one equation and the difference in price as the other. Use the elimination method to solve for one of the variables and substitution to solve for the other.
3M + 2P = 8.70 → 1(3M + 2P = 8.70) → 3M + 2P = 8.70
M - P = 0.90 → 2(M - P = 0.90) → <u>2M - 2P = 1.80 </u>
5M = 10.50
M = 2.10
M - P = 0.90
2.10 - P = 0.90
-P = -1.20
P = 1.20
Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
From the given density function we find the distribution function,

(a)



(b)



(c)



Answer:
(x - 5)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (5, - 3) and r = 4, thus
(x - 5)² + (y - (- 3))² = 4², that is
(x - 5)² + (y + 3)² = 16 ← equation of circle
Answer:
37
Step-by-step explanation:
we would had to call the number needed a random value or call it x but
let's do the calculation backward to ease things up
(566 - 11) ÷15 ➡ 555 ÷ 15 = 37