Answer:
We have 10 sections, we can assume that the probability of hitting each of one of them is the same.
we have 9 grey slices and 1 white slice, then the probability of landing in a grey slice is equal to the number of grey slices divided by the total number of slices:
P(X) = 9/10 = 0.90
The probability of not landing in a grey slice is equal to the probability of landing in the white slice, this is:
P(not X) = 1/10 = 0.10
Also, when you have only two events, you can calculate this as:
P(not X) = 1 - P(X) = 1 - 0.90 = 0.10
A dilation by a scale factor of 6 will cause the radius to increase by a factor of 6. So
. If we plug this value of r into the formula for the circumference of a circle we get
So basically N = 12r. You haven't given me any original radius, so I can't give you a constant for N, but if you do have that original radius you can just plug that into 12r.
Based on your comment, N = 12 * 9 = 108 inches
To determine how many oil changes you will need the first year, you can calculate the number of miles driven the first year and then use that to determine how many groups of 3000 miles you will drive after the first 5000 miles.
1. 52 x 250 = 13000 miles
2. 13000 miles - 5000 miles (1 oil change) = 8000 miles
3. 8000 miles - 3000 miles (1 oil change) - 3000 miles (1 oil change) = 2000 miles
The first year, you will need 3 oil changes.
we know that
if ∠UVW and ∠XYZ are complementary angles
then
∠UVW + ∠XYZ=90°
∠UVW=x-10
∠XYZ=4x-10
substitute the values
(x-10)°+(4x-10)°=90°
Solve for x
5x-20=90
5x=90+20
5x=110
x=22°
∠UVW=x-10=22-10=12°
∠XYZ=4x-10=4*22-10=78°
therefore
<u>the answer is</u>
x=22°
∠UVW=12°
∠XYZ=78°
,Okay, so here is how to calculate the amount of the trade discount:
I: $149,500 * .10 (10%) = 14,950 (this is the 10% discount)
149,500 - 14,950 = 134,550 (how much it costs with a 10% discount)
II: 134,550 * .5 (5%) = 6727.50
134,550 - 6727.50 = 127,822.50
III: 127,822.50 * .4 (4%) = 5112.90
The amount of the trade discount is: $14,950 + $6727.50 + $5112.90 = 26,790.40 dollars.
