"To solve this problem, the formula can be used
I = P / T
Where I is the fraction of the sample
P is the amount of the sample
T is the total amount of sample
Since P = 252 chicken sandwiches and I = 0.55
And solve for T
T = 252 / 0.52
T = 458 sandwiches in total"
hope this helps
Answer:
Each friend receives 41 marbles, Wayne has 180 marbles left.
Step-by-step explanation:
Wayne starts with 303 marbles total. If he decides to give 123 of his marbles away to his friends, we can subtract this amount from his total to get how many he has left:
303 - 123 = 180 marbles left
We also want to know how many marbles each of his three friends receives. Since he wants to split them equally, we need to divide the number he is giving away by 3:
123 ÷ 3 = 41 marbles a piece to each friend
Recall that
sin²(<em>x</em>) = (1 - cos(2<em>x</em>))/2
so that
sin²(7<em>π</em>/8) = (1 - cos(7<em>π</em>/4))/2
sin²(5<em>π</em>/8) = (1 - cos(5<em>π</em>/4))/2
Then
sin²(7<em>π</em>/8) + sin²(5<em>π</em>/8) = (1 - cos(7<em>π</em>/4) + 1 - cos(5<em>π</em>/4))/2
… = 1 - 1/2 (cos(7<em>π</em>/4) + cos(5<em>π</em>/4))
… = 1 - 1/2 (1/√2 - 1/√2)
… = 1
The answer is c
k= -10+273= 263
and k= 5+273= 278
263<k<278
