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3 years ago

Solve the problem

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

4 0

Answer:

11,000 paid $14 for reserved seats.

25,000 paid $6 for general admission.

Step-by-step explanation:

First, we need to establish the system of equations:

x= number of people that pay $14

y= number of people that pay $6

14*x + 6*y= $304,000

x + y= 36,000

Now, we isolate x in one equation and substitute it in the other one:

x= 36,000 - y

14*(36,000 - y) + 6y = 304,000

504,000 - 8y = 304,000

200,000 = 8y

25,000 = y

x= 36,000 - 25,000

x= 11,000

11,000 paid $14 for reserved seats.

25,000 paid $6 for general admission.

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Tennis balls are sealed in a pressurized container to maintain the rebound percentage

Darina [25.2K]

Answer:

Rounding the results to the next hundredth, we have:

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.61 meters

Bounce 3: 0.61 * 0.55 = 0.34 meters

Bounce 4: 0.34 * 0.55 = 0.19 meters

Bounce 5: 0.19 * 0.55 = 0.10 meters

Bounce 6: 0.10 * 0.55 = 0.06 meters

Bounce 7: 0.06 * 0.55 = 0.03 meters

Step-by-step explanation:

Rebound percentage = 55% = 0.55

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.605 meters

Bounce 3: 0.605 * 0.55 = 0.33275 meters

Bounce 4: 0.33275 * 0.55 = 0.1830125 meters

Bounce 5: 0.1830125 * 0.55 = 0.10065688 meters

Bounce 6: 0.10065688 * 0.55 = 0.05536128 meters

Bounce 7: 0.05536128 * 0.55 = 0.0304487 meters

Rounding the results to the next hundredth, we have:

Bounce 1: 2 * 0.55 = 1.10 meters

Bounce 2: 1.10 * 0.55 = 0.61 meters

Bounce 3: 0.61 * 0.55 = 0.34 meters

Bounce 4: 0.34 * 0.55 = 0.19 meters

Bounce 5: 0.19 * 0.55 = 0.10 meters

Bounce 6: 0.10 * 0.55 = 0.06 meters

Bounce 7: 0.06 * 0.55 = 0.03 meters

3 0

4 years ago

Future scientists: Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A

nalin [4]

Answer:

The probability that the proportion of freshmen in the sample of 150 who plan to major in a STEM discipline is between 0.29 and 0.37 is 0.3855

Step-by-step explanation:

The probability that the proportion of freshmen in the sample of 150 who plan to major in a STEM discipline is between 0.29 and 0.37 can be calculated by finding z-scores and subtracting P(z<z(0.29)) from P(z<z(0.37))

z-score in the binomial distribution of 28% of freshmen entering college in a recent year planned to major in a STEM discipline can be calculated using the equation:

$z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where