Determine the range of the following graph:

The admission fee at a movie theater is $5 for children and $9 for adults. If 3200 people go to the movies and $24000 is collect

Usimov [2.4K]

For this problem, let x be the number of children and y for adults. Formulate the equations: 1st equation, x + y = 3,200 and 2nd equation 5x + 9y = 24,000. Re-arrange 1st equation into x = 3200 - y. Then, substitute into 2nd equation, 5(3,200-y) + 9y = 24,000. Then, solve for y. The 16,000 - 5y + 9y = 24000. Final answer is, y = 2000 adults went to watch the movie.

6 0

3 years ago

Andrew is flying a kite held by 175 meters of string that makes an angle of elevation with the ground of 40. Emma is standing di

Alja [10]

Answer:

$x=134.05m$

Step-by-step explanation:

From the question we are told that:

Slant Height of Kite $h_s=175$

Angle $\theta=40 \textdegree$

Since Emma,The Kite and Andrew forms a right angle triangle

Generally the equation for distance between Andrew from Emma is mathematically given by

$x=h_scos\theta$

$x=175cos40$

$x=134.05m$

8 0

3 years ago

If there is a song that is 2 minutes and 58 seconds long and it plays 40 times how long does it play convert answer into seconds

lapo4ka [179]

Answer: I got 7120 seconds

Step-by-step explanation:

There's 178 seconds in the song (for more context, I just converted the 2 minutes into seconds and added it with 58) then I multiplied it by the total amount of times it played (in this case, 40)

Hope this helps

3 0

3 years ago

Read 2 more answers

You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h

damaskus [11]

Answer:

a) Expected score on the exam is 12.8.

b) Variance 10.24, Standard deviation 3.2

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$