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Mama L [17]
2 years ago
14

Two people enter a whispering gallery and want to know where they should stand so they can hear the other person's whisper. The

gallery is 100 feet wide and the vertical distance from their head to the peak of the ceiling is 30 ft.
Mathematics
1 answer:
kati45 [8]2 years ago
4 0

Answer:

The two people should stand 40 feet from the center so that they can hear each other whisper

Step-by-step explanation:

From the question

Width of the gallery = 100 feet

Width = 2a

a = Width/2

a = 100/2 = 50 feet

Height of the gallery = b = 30 feet

Hence, the distance is

d² = a² - b²

d = √a² - b²

d = √50² - 30²

d = √2500 - 900

d = √1600

d = 40 feet

Hence, the two people should stand 40 feet from the center so that they can hear each other whisper.

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3 years ago
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A pond has 458 rosy red minnows, 212 white cloud minnows, and 277 goldfish. how many more minnows than goldfish live in the pond
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Answer:

393 more minnows than goldfish

Step-by-step explanation:

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You have a combination lock with 3 secret digits. Find the 3 correct digits using the following clues and enter your answer belo
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Answer:

184

Step-by-step explanation:

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2 years ago
Based on information from Consumer Reports, a random sample of 35 thirty-gram cookies had a sample mean of 146 calories. The sta
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Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

We are given the <em>standard deviation</em> for the population, which is why the <em>z-distribution </em>is used to solve this question.

The information given is:

  • Sample mean of \overline{x} = 146.
  • Population standard deviation of \sigma = 12.
  • Sample size of n = 65.

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

The critical value, using a z-distribution calculator, for a <u>95% confidence interval</u> is z = 1.645, hence:

\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143

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The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

A similar problem is given at brainly.com/question/16807970

8 0
2 years ago
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igomit [66]

Answer:

57.1 mm^2

Step-by-step explanation:

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5 0
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