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3 years ago

Can someone explain how to do this please?

Mathematics

1 answer:

g100num [7]3 years ago

7 0

M < ABD = 38 degrees ( alternate angles)

So m angle ADB = 180 - 2(38) = 180-76 = 104 degrees ( because triangle ADB is isosceles)

By the same reasoning and since triangle ADB and CDB are congruent we get m < CDB = 104 degrees

Therfore m < x = 360 - 2*104 = 152 degrees Answer

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Answer:

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Step-by-step explanation:

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A rectangular gate measures 1.2 m by 2.3 m with a 2.4 m diagonal. Is the gate

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2 years ago

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3 years ago

The reading speed of sixth-grade students is approximately normal, with a mean speed of 125 words per minute and a standard devi

Lisa [10]

Answer:

Part A

μ of the reading speed of sixth-grade students = 125 words

σ of the reading speed of sixth-grade students = 24 words

Part B

The probability that a randomly selected sixth-grade student reads less than 100 words per minute is 14.92%

Part C

The probability that a randomly selected sixth-grade student reads more than 140 words per minute is 26.43%

Step-by-step explanation:

Part A:

μ of the reading speed of sixth-grade students = 125 words

σ of the reading speed of sixth-grade students = 24 words

Part B:

1. Let's find the z-score for a randomly selected sixth-grade student that reads less than 100 words per minute:

z-score = (100 - 125)/24

z-score = -25/24

z-score = -1.04

2. Now, let's find out the probability that a randomly selected sixth-grade student that reads less than 100 words per minute, using the z-table:

P (-1.04) = 0.1492

This means that the probability that a randomly selected sixth-grade student that reads less than 100 words per minute is 14.92%

Part C.

1. Let's find the z-score for a randomly selected sixth-grade student that reads more than 140 words per minute:

z-score = (140 - 125)/24

z-score = 15/24

z-score = 0.63

2. Now, let's find out the probability that a randomly selected sixth-grade student that reads more than 140 words per minute, using the z-table:

P (0.63) = 0.7357

But we're being asked for a randomly selected student that reads more than 140 words, then:

1 - P(0.63) = 1 - 0.7357 = 0.2643

This means that the probability that a randomly selected sixth-grade student that reads more than 140 words per minute is 26.43%

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4 years ago