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2 years ago

A 3ft child casts a 2ft shadow at the same time a tree casts a shadow that is 6ft long how tall is the tree?

Mathematics

1 answer:

Anettt [7]2 years ago

4 0

Answer:

$h_t=9ft$

Step-by-step explanation:

From the question we are told that:

Height of child $h_c=3ft$

Height of child's shadow $h_c_s=2ft$

Height of tree's shadow $h_t_s=6ft$

Since position of Sun remains constant

Generally the equation for Height of tree h_t mathematically given by

$h_t=f_{ts}\frac{h_c}{h_c_s}$

$h_t=6*\frac{3}{2}$

$h_t=9ft$

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RSB [31]

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3 years ago

Yesterday, Caitlin swam 20 laps in the pool. Hannah swam 4/5 as many laps As Caitlin. How many laps did Hannah swim?

Misha Larkins [42]

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Multiply the laps swan by Caitlin (20) by 4/5

20 x 4/5 = 80/5 = 16

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1 year ago

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kolezko [41]

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3 years ago

Eight less a number is less than or equal to 17

Karolina [17]

Step-by-step explanation:

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3 years ago

The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.30, and the sample statistics

IrinaK [193]

Answer: 0.84

Step-by-step explanation:

let p be the population proportion of adults who smoked a cigarette in the past week.

As per given , we have

$H_a: p$

Sample size : n= 1491

The sample proportion of adults smoked a cigarette= $\hat{p}=\dfrac{x}{n}=\dfrac{462}{1491}=0.30985915493\approx0.31$

The test statistic for proportion is given by :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Substitute all the values , we get

$z=\dfrac{0.31-0.30}{\sqrt{\dfrac{0.30(1-0.30)}{1491}}}\\\\=\dfrac{0.01}{\sqrt{0.000141}}\\\\=\dfrac{0.01}{0.011874342087}=0.84261497731\approx0.84$

Hence, the value of the test statistic = 0.84

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3 years ago