Answer:
120960
Step-by-step explanation:
We get 11 books 7 of geography and 4 of chemistry
We need to line all of them with 2 constraints
1.-three of the geography must be: 1 in the middle and in each end, then we already have
C₄,₃ = 4! / ( 4 - 3 ) ! C₄,₃ = 4*3*2*1
C₄,₃ = 24 different ways
Now we have 7 books of chemistry. To place them we get
P₇ = 7! P₇ = 7*6*5*4*3*2*1 P₇ = 5040
Now the total number will be
C₄,₃* P₇ = 120960
Answer:
the first choice
Step-by-step explanation:
-0.8 is the smallest number considering it is negative.
-1/3 is negative too, but it is not as much at -0.8 since when reduced to a decimal, it's would be -0.3334 (rounding up).
2/3 is not as much as 1 since it is not a whole number.
1 is the biggest number in the graph.
Answer:
20 sin³O. cos²O - 5sin⁵O
Step-by-step explanation:
y = sin⁵O
Using the Chain Rule
dy/dO = 5 sin⁴O cosO
Using the Product / Chain rules:
d²y/dO² = 20 sin³O.cosO . cos O+ 5 sin⁴O * - sin O
= 20 sin³O. cos²O - 5sin⁵O
Multiply 200 rolls by 70%
200 *0.70 = 140
The bowler should knock at least 6 pins down 140 rolls
