Answer:
m is the slope and the y-intercept would be b
Step-by-step explanation:
There are a total of 5+6+4+3+2=20 M&Ms in the bag. Since there are 6 yellow M&Ms in the bag, there's a 6/20 probability that the first M&M will be yellow. Then, there are 5 more yellow M&Ms and 19 more total M&Ms in the bag, so there is a 5/19 chance the next M&M will be yellow. Finally, there are 4 more yellow M&Ms in the bag and 18 total M&Ms, so there is a 4/18 chance the last M&M will be yellow.
Multiplying these together, we have:
(6*5*4)/(20*19*18)
This simplifies to:
1/57
Therefore, there is a 1/57 probability that all M&Ms will be yellow.
9514 1404 393
Answer:
(2) 72°
Step-by-step explanation:
In this geometry, the angle at the tangent is half the measure of the intercepted arc.
∠CBD = (arc BD)/2 = 144°/2
∠CBD = 72°
__
<em>Additional comment</em>
Consider a point X anywhere on long arc BD. The inscribed angle at X will have half the measure of short arc BD, so will be 144°/2 = 72°. This is true regardless of the position of X on long arc BD. Now, consider that X might be arbitrarily close to point B. The angle at X is still 72°.
As X approaches B, the chord XB approaches a tangent to the circle at B. Effectively, this tangent geometry is a limiting case of inscribed angle geometry.
Answer:
The working of expressions is shown below.
Step-by-step explanation:
We are given the following information:
a) Expand
b) Expand and simplify
c) Expand
d) Factorize fully
Answer:
10 minutes
Step-by-step explanation:
Adam- 3 mph = 20 minutes a mile
Amy- 12 mph = 5 minutes a mile
Adam left 30 minutes prior to Amy so he is a mile and a half ahead before amy even starts.
30 minutes = 1.5 miles (Adam)
7.5 minutes = 1.5 miles (Amy)
but with this being said you have to continue to add time and miles to Adam because he's now gone an extra 7.5 minutes too.
45 minutes = 2.25 miles
15 minues = 3 miles
no youre too far and Amy is now further so we have to go back some
40 minutes = 2 miles
10 minutes = 2 miles
With all this being said Amy only needs to ride her bike for 10 minutes before she catches back up to Adam
