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klio [65]
3 years ago
8

A group of volunteers has been collecting toys to deliver to a local charity. Over the last 7 days, the volunteers have collecte

d 581 toys. What has been their collection rate, in toys per day?
581 toys. What has been their collection rate, in toys per day?
A. 80 toys per day
B. 86 toys per day
C. 81 toys per day
D. 83 toys per day
Mathematics
1 answer:
vlabodo [156]3 years ago
7 0
D. 83 toys per day.
581/7=83

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Answer:

<em>Expected Payoff ⇒ $ 1.50 ; Type in 1.50</em>

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars

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Answer: 64.2^{\circ}

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According to the cosine rule

\cos C=\dfrac{a^2+b^2-c^2}{2ab}

Here, a=83, b=111, c=165,\ C=180^{\circ}-\theta

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\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}

So, the ship turns by 64.2^{\circ} north of west

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