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3 years ago

A flagpole is 15 feet tall. Its shadow is 20 feet long. How far is it from the top of the flagpole to the end of the shadow?

Mathematics

2 answers:

m_a_m_a [10]3 years ago

6 0

Answer:

5 feet.

Step-by-step explanation:

The angle of the height and length go down to 5 feet diagonally.

igomit [66]3 years ago

5 0

Answer:

25ft

Step-by-step explanation:

To find the length of the top of the flagpole to the end of the shadow, you have to use the Pythagorean theorem a² + b² =c²

15² + 20² = x²

225 + 400 = x²

625 = x²

√625 = √x²

x = 25

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Answer:

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Step-by-step explanation:

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3 years ago

A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer

OLEGan [10]

Answer:

The probability is $P( p < 0.9207) = 0.0012556$

Step-by-step explanation:

From the question we are told

The population proportion is $p = 0.96$

The sample size is $n = 227$

The number of graduate who had job is k = 209

Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is

$\mu_x = p = 0.96$

Generally the standard deviation of this sampling distribution is

$\sigma = \sqrt{\frac{p (1 - p )}{n} }$

=> $\sigma = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }$

=> $\sigma = 0.0130$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{209}{227}$

=> $\^ p = 0.9207$

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

$P( p < 0.9207) = P( \frac{\^ p - p }{\sigma } < \frac{0.9207 - 0.96}{0.0130 } )$

$\frac{\^ p - p}{\sigma } = Z (The \ standardized \ value\ of \ \^ p )$

$P( p < 0.9207) = P(Z< -3.022 )$

From the z table the area under the normal curve to the left corresponding to -3.022 is

$P(Z< -3.022 ) = 0.0012556$

=> $P( p < 0.9207) = 0.0012556$

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3 years ago

Explain how you can find the volume of the figure below. Then, solve- what is the volume of the figure? Make sure to include you

mote1985 [20]

Answer: a) The figure can be reasonably divided into two geometries:

• a rectangular prism

• a hemisphere.

b) The volume of the rectangular prism is given by

V = lwh

V = (10 cm)(5 cm)(4 cm) = 200 cm³

The volume of the hemisphere is given by

V = (2π/3)r³

V = (2π/3)(3 cm)³ = 18π cm³

c) The total volume of the figure is

total volume = (prism volume) + (hemisphere volume)

V = 200 cm³ + 18π cm³

V ≈ 256.549 cm³

Step-by-step explanation:

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