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3 years ago

With the sun at an angle of 30 to the ground, a tree casts an 80 ft shadow. how tall is the tree

Mathematics

1 answer:

valentinak56 [21]3 years ago

5 0

Let tree's height = h

h/80 = tan 30
⇒ h = 80 tan 30
⇒ h = 80 * 1/√3
⇒ h = 46.19 ft

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NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. In an earlier stud

SSSSS [86.1K]

Answer:

The large sample n = 190.44≅190

The large sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44

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

Given population proportion was estimated to be 0.3

p = 0.3

Given maximum of error E = 0.04

we know that maximum error

$M.E = \frac{Z_{\alpha } \sqrt{p(1-p)} }{\sqrt{n} }$

The 85% confidence level $z_{\alpha } = 1.44$

$\sqrt{n} = \frac{Z_{\alpha } \sqrt{p(1-p)} }{m.E}$

$\sqrt{n} = \frac{1.44X\sqrt{0.3(1-0.3} }{0.04}$

now calculation , we get

√n=13.80

now squaring on both sides n = 190.44

large sample n = 190.44≅190

<u>Conclusion</u>:-

Hence The large sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44

7 0

3 years ago

The area of a rectangular dining room is 16 square meters. The perimeter is 16 meters. What are the dimensions of the dining roo

neonofarm [45]

Answer:

Step-by-step explanation:

The area is 16, and you know that it's 2 sides u need to multiply

The perimeter is 16, and you know that you need to add up all the sides

So....

A = b * h

A = 4 * 4

A = 16 CORRECT

And....

P = S + S + S + S ( s = sides)

P = 4 + 4 + 4 + 4

P = 16 CORRECT

Hope this helped!

Have a supercalifragilisticexpialidocious day!

6 0

3 years ago

Please help and show your work ( no links or files) plz

mr_godi [17]

Answer:

Step-by-step explanation:

Use the formula for the area of a triangle,

Area of a triangle = $\frac{1}{2}(\text{Base})(\text{Height})$

7). Area of the triangle = $\frac{1}{2}(20)(7.4)$

= 74 km²

8). Area of the triangle = $\frac{1}{2}(4)(15.4)$

= 30.8 cm²

9). Area of the triangle = $\frac{1}{2}(16)(7)$

= 56 m²

10). Area of the triangle = $\frac{1}{2}(11)(7.7)$

= 42.35 km²

5 0

3 years ago

Use the functions and the scenario to solve the problem.

Naily [24]

Answer:

Leanne is correct. It is important that g(x) is subtracted from f(x).

Shiloh is incorrect. She subtracted f(x) from g(x), and subtraction isn't commutative.

*Just took the test, got the answer correct!! Hope this helps!

7 0

2 years ago

Cara started working for $9 per hour. She earns a 4% raise every year. What is her

shutvik [7]

Answer:

Caras hourly wage is $10.08 after 3 years

Step-by-step explanation:

4% of 9

0.04 x 9 = 0.36

then you multiply 0.36 by 3 because you are solving for 3 years.

0.36 x 3 = 1.08

then you add 1.08 to 9 because Cara's wage goes up $1.08 in 3 years

1.08 + 9 = 10.08

answer:

Cara's hourly wage is $10.08 after 3 years of working

5 0

3 years ago