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son4ous [18]
3 years ago
12

In the figure below, GRAH is a rectangle, RA=7, and GA=10. Determine AH.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
3 0

Answer:

AH = \sqrt{51}

Step-by-step explanation:

The opposite sides of a rectangle are congruent , so

GH = RA = 7

Using Pythagoras' identity in right Δ GHA

AH² + GH² = GA²

AH² + 7² = 10²

AH² + 49 = 100 ( subtract 49 from both sides )

AH² = 51 ( take the square root of both sides )

AH = \sqrt{51} ≈ 7.14 ( to 2 dec. places )

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Answer:

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Step-by-step explanation:

The height of adult males on a given South Pacific Island is approximately normally distributed with mean 65 inches and standard deviation of 4 inches.

We solve using z score

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 65 inches

σ is the population standard deviation = 4 inches

a). Taller than 64 inches

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Hence,

64 - 65/4

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P-value from Z-Table:

P(x<64) = 0.40129

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b.) shorter than 62 inches

Hence,

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P-value from Z-Table:

P(x<62) = 0.22663

c.) between 64 inches and 68 inches

Hence,

for 64 inches

64 - 65/4

=- 1/4 = -0.25

P-value from Z-Table:

P(x = 64) = 0.40129

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Hence,

68 - 65/4

= 3/4= 0.75

P-value from Z-Table:

P(x = 68) = 0.77337

d.) between 58 and 68 inches

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58 - 65/4

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P(x<58) = 0.040059

P(x>58) = 1 - P(x<58) = 0.95994

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Answer:

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