The expected value is given by:
E(x)= ∑x*p(x)
thus the expected value of calories will be given by:
E(x)=1/6*60+1/2*42+1/3*90
E(x)=10+21+30
E(x)=61
the answer is 61
Answer:
22%
Step-by-step explanation:
1000-780=220
220/1000=0.22, or 22%
Answer:
C and D
Step-by-step explanation:
1
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × 
= 2π × 10 ×
=
=
cm → C
-----------------------------------------------------
2
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² × 
= π × 10² ×
=
=
cm² → D
A1 = first term
a1 = 15
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d = common difference
d = (second term) - (first term)
d = a2 - a1
d = 9-12
d = -3
The negative common difference indicates that the terms are decreasing
Each time we subtract 3, or add -3, to get the next term.
----------------------------------------------
nth term of arithmetic sequence
an = a1 + d(n-1)
an = 15 + (-3)(n-1)
an = 15- 3n + 3
an = 18 - 3n
Answer is choice D
Answer:
30 times
Step-by-step explanation:
It will take 6 spoonfuls to make one cup of flour, so you multiply 6 by 5 to get 30 spoonfuls.
Hope this helps