Answer:
336 ways ;
56 ways
Step-by-step explanation:
Number of ways to have the officers :
Number of qualified candidates, n = 8
Number of officer positions to be filled = 3
A.)
Using permutation (since the ordering matters):
nPr = n! ÷(n-r)!
8P3 = 8! ÷ (8-3)!
8P3 = 8! ÷ 5!
8P3 = (8*7*6)
8P3 = 336 ways
B.) Different ways of appointing committee: (ordering doesn't count as officers can also be appointed)
Using the combination relation :
nPr = n! ÷(n-r)!r!
8C3 = 8! ÷ (8-3)! 3!
8C3 = 8! ÷ 5!3!
8C3 = (8*7*6) ÷ (3*2*1)
8C3 = 336 / 6
8C3 = 56 ways
C.
4 (x+7) = 38 represents the tape diagram correctly.
Answer:
the no. is -7
Step-by-step explanation:
let the no. be x
5x-x+2=-26
=> 4x+2=-26
=> 4x=-26-2
=> 4x=-28
=> x=-28/4
=> x=-7
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Answer:
less than 16
Step-by-step explanation:
Using translation concepts, the note E would be louder with a higher amplitude of y, hence constant a has to be multiplied by a positive constant greater than 1.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the function is given by:
y = asin(1320πx)
The intensity of a sound is given by it's amplitude a, hence, to make the sound stronger, we need to vertically stretch the graph of y, which is done when constant a is multiplied by a positive constant greater than 1.
More can be learned about translation concepts at brainly.com/question/28416763
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