Answer:
7/80
Step-by-step explanation:
(3 green, 4 yellow, 5 blue, 8 pink) = 20 marbles
P ( green or yellow ) = number of green or yellow / total
= (3+4)/20 = 7/20
Replace
so we have (3 green, 4 yellow, 5 blue, 8 pink) = 20 marbles
P (blue) = number of blue/ total
= 5/20 = 1/4
P ( green or yellow, replace, blue) = 7/20 * 1/4 = 7/80
Answer:
1291.5km
Step-by-step explanation:
12.3*105=1291.5km
Answer:I think one is x
Step-by-step explanation:
5. Given the equation y = (1/4) cos[(2pi/3)*theta]:
5a. For the general equation y = a cos(bx), the period is given by 2pi/b. In this equation, b = 2pi/3, so this means that 2pi/b = 2pi/(2pi/3) = 3. Therefore, the period of this equation is 3, and the cosine wave repeats itself every 3 x-units.
5b. For the general equation y = a cos(bx), the amplitude is given by a. Therefore the amplitude is a = 1/4, and this means that the cosine wave's range is from -1/4 to 1/4 for all values of x.
5c. The equation of the midline is y = 0. This represents the average value over the wave. This is determined by adding the highest and lowest values of the range and taking the average, in this case, 1/4 + (-1/4) = 0, and 0 / 2 = 0. Another way to do this is using the general equation y = a cos(bx) + c, where the midline's equation is y = c. In this case, there is no value of c in the given, implying that c = 0, and the midline is y = 0.
6. Let the horizontal distance be x. Then tan42 = h/x, and h = x tan42. Then using the Pythagorean theorem: 3280^2 = h^2 + x^2
3280^2 = x^2 (tan42)^2 + x^2
3280^2 = x^2 [(tan42)^2 + 1]
x = 2437.52
Therefore, h = x tan42 = 2,194.75 ft.
Answer:
48.75
Step-by-step explanation:
The salesmen makes a commission of 3.25%. So to get the percent into a usable form for this take 3.25 and divided by 100. You get 0.0325.
Now you take the 0.0325 and mutliply it by the 1500. This gives you 48.75
