The integers between -4 and 2, inclusive would be -4, -3, -2, -1, 0, 1, and 2
Answer:
substitute -10 for x and -20 for y
-10-20 / -20
-30/-20
1 1/2
Answer:
f(3π/4) = -π
A = π
b = 2
Step-by-step explanation:
Given that the function follows the form: f(x) = A sin(bx), then f(0) = 0. Given that the period is π, then at x = π/4 the function reaches a maimum, at x = π/2, f(x) = 0, and at x = 3π/4, f(x) reaches a minimum, which have to be π*(-1) = -π
Given the general equation: f(x) = A sin(bx), its period is calculated as:
period = 2π/b
which is equal to π, then:
2π/b = π
b = 2
Replacing x = π/4 into the equation of the function, we get:
A sin(2(π/4)) = π
A sin(π/2) = π
A = π
Answer:
as a fraction = 75/92
as a percentage = 81.52%
Step-by-step explanation:
total no of students = 92
probability that a student has hazel or brown eyes = Pr(hazel or brown)
but probability of a or b happening ie Pr(a or b) simply is Pr (a) +Pr (b)
therefore Pr(hazel or brown) = Pr(hazel)+ Pr(brown)
Pr(brown) = (no of brown eyes )/(total set of eyes)
=
= 10/23
Pr( hazel) = (no of hazel eyes )/(total set of eyes)
=
=35/92
hence Pr(hazel or brown) = (10/23) + (35/92) =75/92
so there's 75/92 probability (or 0.8 out of 1 chance )to choose either hazel or brown randomly
Think of the three rectangles as a single large rectangle and find its area.
For the large rectangle made up of the three small rectangles:
Length = 8 cm + 15 cm + 17 cm = 40 cm
Width = 11 cm
area = length * width
area = 40 cm * 11 cm
area = 440 cm^2