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4 years ago

15

A lawn sprinkler sprays water 25 feet and moves back and forth through an angle of 150°. Which of the following is the best esti

mate of the area of the lawn that gets watered?

1 answer:

11Alexandr11 [23.1K]4 years ago

5 0

$\pi25 ^{2} \times \frac{150}{360}$
Explanation:
Area is pi×r^2 and you times it by the fraction of the circle you have as its not a full circle.

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The quotient of a number, divided by 3, equals-8

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Answer:

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3 years ago

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3 years ago

In a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third

insens350 [35]

Answer:

104°

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let the second angle be x , then

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3 years ago

Suppose that 10% of the undergraduates at a certain university are foreign students, and that 25% of the graduate students are f

Deffense [45]

Answer:

0.6154 = 61.54% probability that the student is an undergraduate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Foreign

Event B: Undergraduate.

There are four times as many undergraduates as graduate students

So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.

Probability the student is foreign:

10% of 80%

25% of 20%. So

$P(A) = 0.1*0.8 + 0.25*0.2 = 0.13$

Probability that a student is foreign and undergraduate:

10% of 80%. So

$P(A \cap B) = 0.1*0.8 = 0.08$

What is the probability that the student is an undergraduate?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154$

0.6154 = 61.54% probability that the student is an undergraduate

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3 years ago