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Archy [21]
2 years ago
13

Determine the range of the following graph:

Mathematics
1 answer:
joja [24]2 years ago
5 0
From -4 to 1 (range equals the y values)
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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

The variance of the binomial distribution is:

V(X) = np(1-p)

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

64 questions.

So n = 64

5 possible answers, one correctly, chosen at random:

So p = \frac{1}{5} = 0.2

(a) What is your expected score on the exam?

E(X) = np = 64*0.2 = 12.8

(b) Compute the variance and standard deviation of x. Variance =Standard deviation

V(X) = np(1-p) = 64*0.2*0.8 = 10.24

Variance 10.24

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{64*0.2*0.8} = 3.2

Standard deviation 3.2

5 0
3 years ago
Lily says that 4 x 7000 has the same product as 7 x 4000 is she correct? explain using the associative property of multiplicatio
svetoff [14.1K]
Yeah they have both the same products. if u  look at how many 0 the have u would be ever to tell that it would equal 28000
3 0
3 years ago
Read 2 more answers
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