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katrin [286]
3 years ago
11

If a 40 foot tree cast a 16 foot shadow, what is the length of the shadow cast by a 27 foot tree?

Mathematics
2 answers:
Levart [38]3 years ago
7 0
I take it that we are to assume that the ratio between the actual length and the shadow length are directly proportional


so therefor we set up the following proprtion

actual height: shadow height=40ft:16ft

we are given that the tree is actually 27ft

so
40ft:16ft=27ft:?ft
make into a fraction
40ft/16ft=27ft/?ft
cross multiply or multiply both sides by 16?ft²
40?ft²=432ft²
divide both sides by 40ft
?ft=10.8ft
the length of the shadow is therfore 10.8ft
kow [346]3 years ago
4 0

this is a ratio:

40/16 = 27/x

cross multiply:

40x = (16*27)=

40x=432

x = 432/40 = 10.8 feet

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<u>Step-by-step explanation:</u>

In this case,

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Assume the bell shaped graph of normal distribution,

The center of the graph is mean which is 3 minutes.

We move one space to the right side of mean ⇒ M + SD

⇒ 3+0.25 = 3.25 minutes.

Again we move one more space to the right of mean ⇒ M + 2SD

⇒ 3 + (0.25×2) = 3.5 minutes.

Similarly,

Move one space to the left side of mean ⇒ M - SD

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⇒ 3 - (0.25×2) =2.5 minutes.

The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.

Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)

Therefore, the percent of  red lights that last between 2.5 and 3.5 minutes is 95%

8 0
3 years ago
A cable company uses the formula S = 20,000 (1 + 0.08)y to estimate the number
vlada-n [284]

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The expression : (1 + 0.08)^y

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(1 + 0.08)^y represents a continous growth or increase in the number of subcsribers by 8% over the number of subscribers the preceeding year

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8 0
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Step-by-step explanation:

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