Answer:
a) 0.06048 b) 0.001344 c) 0.000294
Step-by-step explanation:
number of distributors = 10;
number of orders = 7
a)
There are 10 distributors for each order, so the no. of ways the 7 orders could be placed are = 10⁷ =10000000
no. of ways that orders goes to different distributors = ¹⁰C₇*7! = 604800
Probability = 604800/10000000 = 0.06048
b)
number of ways distributor 1 gets exactly 2 and distributor 2 gets exactly 3 orders = ⁷C₂*⁵C₃*8² = 13440
probability = 13440/10000000 = 0.001344
c)
number of ways distributor 1, 2,3 get exactly 2,3 and 1 order(s) = ⁷C₂*⁵C₃*²C₁*7¹ = 2940
probability = 2940/10000000 = 0.000294
Answer:
mRS = 116
Step-by-step explanation:
If Segment SR ≅ TU then, arc SR ≅ arc TU
Thus, 6x - 28 = 4x + 20
^ ( note that this is the equation we will use to solve for x )
6x - 28 = 4x + 20
step 1 add 28 to each side
28 + -28 cancels out
28 + 20 = 48
we now have 6x = 4x + 48
step 2 subtract 4x from each side
6x - 4x = 2x
4x - 4x cancels out
we now have 2x = 48
step 3 divide each side by 2
2x / 2 = x
48 / 2 = 24
we're left with x = 24
Now to find the value of arc RS we substitute x with 24 in arc RS' given expression
arc RS = 6x - 28
* substitute x with 24 *
arc RS = 6(24) - 28
6 * 24 = 144
144 - 28 = 116
Hence, arc RS = 116
B is the answer............
Answer:
(2,16)
Step-by-step explanation:
y=-x+18
y=8x
8x=-x+18
8x+x=9x
-x+x=0
9x=18
9x/9=x
18/9=2
x=2
y=8(2)
y=16
