Answer:
ok i'll see what i can do
Step-by-step explanation:
We have an equation: 250/?= 50/100
Cross multiply:
50*?= 250*100
⇒ ?= 250*100/50= 500
The number is 500~
We have another equation: ?/500= 80/100
Cross multiply:
100*?= 80*500
⇒?= 80*500/100= 400
80% of 500 is 400~
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using <em>double angle trigonometric</em> functions.
<h3>How to simplify an expression by trigonometric expressions</h3>
<em>Trigonometric</em> expressions are formulas that utilize <em>trigonometric</em> functions. <em>Trigonometric</em> functions are a kind of <em>trascendental</em> functions, that is, functions that cannot be described in <em>algebraic</em> terms.
In this question we must simplify a given expression by using the following trigonometric formula:
<em>sin 2x = 2 · cos x · cos x</em> (1)
Now we proceed to expand the expression given:
x = sin 32
x = 2 · sin 16 · cos 16
x = 4 · sin 8 · cos 8 · cos 16
x = 8 · sin 4 · cos 4 · cos 8 · cos 16
Thus,
sin 4 · cos 4 · cos 8 · cos 16 = x/8
If sin 32 is equal to x, then sin 4 · cos 4 · cos 8 · cos 16 is equal to x/8 by using <em>double angle trigonometric</em> functions. 
To learn more on trigonometric functions, we kindly invite to check this verified question: brainly.com/question/6904750
The probability that the operator is busy is 33.33% if the call rate is 2 per minute and average time to handle is 10 seconds.
Given rate of calls 2 per minute and average time to handle a call is 10 seconds.
We have to find the probability that the operator is busy.
Probability is the chance of happening an event among all the events possible. The value of probability lies between 0 and 1.
Probability= number of items/ total items
If rate is 2 per minute then the customers handled in 1 hour=2*60=120
The average time to handle a call=10 seconds.
Therefore customers to be handled in 1 hour=360 (10*6*60)
Probability that the operator is busy is as under:
Probability=λ/μ
=120/360
=1/3
=1/3*100
=33.33%
Hence the probability that the operator is busy is 33.33%.
Learn more about probability at brainly.com/question/24756209
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