Answer:
3. It is likely.
Step-by-step explanation:
Let's assume the dartboards circles have radius of r, 2r, 3r and 4r from inner side
<u>Then the areas covered will be as:</u>
- point 20 = πr² = S
- point 15 = π(2r)² - πr² = 3πr² = 3S
- point 1 0 = π(3r)² - π(2r)² = 5πr² = 5S
- point 5 = π(4r)² - π(3r)² = 7πr² = 7S
Total area of the dartboard is S+3S+5S+7S = 16S
The area of point 5 is 7S. And the area of non- 5 point is 16S - 7S = 9S
The probability of scoring at least 10 points is:
As it is between 1/2 and 1, the probability is in 'likely' region
<u>So the correct answer choice is:</u> 3. It is likely
<span>The
third root of the given complex number 27(cos(pi/5)+isin(pi/5)) is <span>3(cos(pi/15)+i sin(pi/15))
</span>The solution would be like this
for this specific problem:</span>
<span>2^5 =
32 so you need a 2 out front the 5th root of cos(x) + i sin(x) is
cos(x/5) + i sin(x/5). Additionally, 5 roots are located at even
intervals around the circle. They are spaced every 2 pi/5 or 6 pi/15 radians.
</span>
<span>Roots
are located at pi/15, pi/15+ 10pi/15 = 11 pi/15 and pi/15+ 20pi/15 = 21 pi/15
(or 7 pi /5 ).</span>
I think this is how you do it...hope it helps
Answer: the cost of one chicken is $8
The cost of one duck is $5
Step-by-step explanation:
Let x represent the cost of one chicken.
Let y represent the cost of one duck.
Last month, he sold 50 chickens and 30 ducks for $550. It means that
50x + 30y = 550- - - - - - - - - - - 1
This month, he sold 44 chickens and 36 ducks for $532. It means that
44x + 36y = 532- - - - - - - - - - - 2
Multiplying equation 1 by 44 and equation 2 by 50, it becomes
2200x + 1320y = 24200
2200x + 1800y = 26600
Subtracting, it becomes
- 480y = - 2400
y = - 2400/- 480
y = 5
Substituting y = 5 Intl equation 1, it becomes
50x + 30 × 5 = 550
50x + 150 = 550
50x = 550 - 150
50x = 400
x = 400/50
x = 8
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