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2 years ago

A 24 foot flagpole casts a 20 foot shadow of the building next to it is an 85 foot shadow find the height of the building

Mathematics

1 answer:

Zigmanuir [339]2 years ago

6 0

Answer: 102 foot / feet tall

Step-by-step explanation:

First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1

Second, multiply . . . what is 1.2 x 85 ? 102

( sorry if this is wrong - I forgot how to do the second part for a sec )

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2 years ago

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Classify the following triangle. Check all that apply

grandymaker [24]

Answer:

D, E

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3 years ago

The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.

evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

$P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}$

b) P(population with IQ between 120 and 125.)

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

$P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%$

$P(120 \leq x \leq 125) = 4.4\%$

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3 years ago

Megan hiked 15.12 miles in 6.3 hours. If Megan hiked the same number of miles each hour , how many miles did she hike each hour?

OLEGan [10]

To find how many miles per hour, we divide the number of miles hiked by the number of hours it took to hike them.

=15.12 miles ÷ 6.3 hours
=2.4 miles hiked per hour

Hope this helps! :)

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3 years ago

Trina and her mom are planting 45 plants in their garden.if their garden is 9 square feet how many plants can they put in each s

timurjin [86]

45÷9=5 they can put 5 plants in each square feet.

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3 years ago

A 24 foot flagpole casts a 20 foot shadow of the building next to it is an 85 foot shadow find the height of the building￼

A 24 foot flagpole casts a 20 foot shadow of the building next to it is an 85 foot shadow find the height of the building