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3 years ago

Find each measurement indicated. Round your answers to the nearest tenth. Please show work. Part 1

Mathematics

1 answer:

timama [110]3 years ago

7 0

9514 1404 393

Answer:

33.0 m
26.1 mi
28.0 mi
33.0 mi

Step-by-step explanation:

In each of these Law of Sines problems, you are given side a and angles B and C and asked for side c (problems 1, 3, 4) or side b (problem 2). The solution is basically the same for each:

Find the missing angle. Find the side from ...

c = a·sin(C)/sin(A)

1. angle A = 180°-89°-58° = 33°

c = (18 m)sin(89°)/sin(33°) ≈ 33.0 m

2. angle C = 180°-13°-17° = 150°

b = (58 mi)sin(13°)/sin(150°) ≈ 26.1 mi

3. angle A = 180°-61°-89° = 30°

c = (16 mi)sin(61°)/sin(30°) = 28.0 mi

4. angle A = 180°-39°-127° = 14°

c = (10 mi)sin(127°)/sin(14°) ≈ 33.0 mi

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2 years ago

A system of linear equations has been graphed in the diagram. determine a reasonable solution for the system of equations.

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Answer:

(1,-1)

Step-by-step explanation:

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That is also known as the intersecting points.

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Top-left is 2nd Quadrant.

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The values of x and y (positive or negative) of each quadrant is shown below:

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From the answer choices, we see that 3rd answer choice goes with this -- (1,-1), so this is the correct choice.

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3 years ago

The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 12. if 16 fi

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<span>The weights of the fish in a certain lake are normally distributed with a mean of 18 lb and a standard deviation of 12. </span>

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3 years ago

Simplify: 6 + (5 + 4) * 3

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Lindsay is checking out books at the library, and she is primarily interested in mysteries and nonfiction. She has narrowed her

Ratling [72]

Answer:

0.0677 = 6.77% probability that they will all be nonfiction

Step-by-step explanation:

The books are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

10 + 12 = 22 books.

She chooses 4 books, which means that $n = 4$

12 nonfiction, which meas that $k = 12$

What’s the probability that they will all be nonfiction?

This is P(X = 4). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 4) = h(4,22,4,12) = \frac{C_{12,4}*C_{10,0}}{C_{22,4}} = 0.0677$

0.0677 = 6.77% probability that they will all be nonfiction

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3 years ago

Find each measurement indicated. Round your answers to the nearest tenth. Please show work. Part 1​

Find each measurement indicated. Round your answers to the nearest tenth. Please show work. Part 1