a) The total number of vehicles is 2450, and the number of vehicles that didn't use a toll pass is 1566, so the probability is:
b) If it's given that the vehicle is a truck, the number of trucks is 951, and the number of trucks that didn't use a toll pass is 610, so the probability is:
Answer:
66.67%
Step-by-step explanation:
80/120 = 66.67
<span>i=prt
where i is interest (9000-6000 = $3000 interest)
p is principle ($6000)
r is rate (5.5%) [taking that its 5.5%pa]
t is time
substitute these into the equation
3000 = $6000 x 5.5% x t
t = 3000 divided by (6000x5.5%)
= 3000 divided by 330
t=100/11 years
it would take 100/11 years which is approx 9.1 years</span>
Answer:
-5 - 3x > 10
Step-by-step explanation:
x = -6
Plug in the x value for each inequality:
-5 - 3(-6) > 10
-5 + 18 > 10
13 > 10
True
-3 - 5(-6) < -14
-3 + 30 < -14
27 < -14
False
1 - 2(-6) > 13
1 + 12 > 13
13 > 13
False
2 - (-6) < -3
2 + 6 < -3
8 < -3
False
Only one of these is true; that is the answer.
Answer:
80 square feet
Step-by-step explanation:
You can split it into a rectangle and a triangle. The area of the rectangle would be 2 * 16 = 32 square feet.
Next, you need to find the height of the triangle. To do this, you can split the triangle into two right triangles and use the pythagorean theorem to find the height. The dimensions of one of the right triangle is 8 for one of the legs and 10 for the hypotenuse. Using the pythagorean theorem, 8^2 + b^2 = 10^2, which is 64 + b^2 = 100, so b^2 = 36 and b = 6. This means that the height is 6. Now, you find the area of the triangle and you get 16 * 6 / 2 = 48.
Adding the area of the rectangle and the triangle: 32 + 48 = 80
Not sure why that's not an answer choice, I'm fairly confident it's right.
