Step-by-step explanation:
plus Answer. work out 2 to 5 Questions
Answer:
mean = 172.72cm and variance = 645.16
Step-by-step explanation:
1 inch = 2.54 centimetres
mean = 68 * 2.54 = 172.72 cm
standard deviation = 10 *2.54 = 25.4 cm
variance = square of standard deviation
variance = 25.4 * 25.4
variance = 645.16 cm
The area of a circular segment is given by
.. A = (1/2)r^2*(θ -sin(θ)) . . . . . . . . . θ in radians
.. = (1/2)*(27.8 in)^2*(5π/6 -sin(5π/6))
.. ≈ 818.4 in^2
Answer:
(- 1, 4 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3 → (1)
y = x + 5 → (2)
Substitute y = x² + 3 into (2)
x² + 3 = x + 5 ← subtract x + 5 from both sides
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 2 : y = 2 + 5 = 7 ⇒ (2, 7 )
x = - 1 : y = - 1 + 5 = 4 ⇒ (- 1, 4 )
