Step-by-step explanation:
Assuming the readable scores are:
100, 82, 95, __ , 90, 81, 75, 83, __
We know the mean (or average) is 85, so:
85 = (100 + 82 + 95 + x + 90 + 81 + 75 + 83 + y) / 9
765 = 606 + x + y
159 = x + y
We know the lowest score is 75, so x and y must be at least 76. Possible answers are:
76 and 83
77 and 82
78 and 81
79 and 80
80 and 79
81 and 78
82 and 77
83 and 76
Answer:
Step-by-step explanation:
Identities : -
cot = cos / sin
tan = sin / cos
( cot + tan ) sin = sec
LHS
= ( cot + tan ) sin
= ( ( cos / sin ) + ( sin / cos ) ) sin
= ( ( cos sin ) / sin ) + ( sin² / cos )
= cos + ( sin² / cos )
LCM = cos
= ( cos² / cos ) + ( sin² / cos )
= ( cos² + sin² ) / cos
Identity : -
cos² + sin² = 1
= 1 / cos
= sec
= RHS
Hence proved.
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Answer:
4,600
Step-by-step explanation:
1,200+1,200+1,100+1,100
12 people ⇒8 cups
1 person ⇒ 8/12 = 2/3 cup
7 persons ⇒ 2/3 x 7 = 14/3 4 2/3 cups
Answer: She should use 4 2/3 cups of sugar.