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shusha [124]
2 years ago
15

What is the quotient of 6 divided by 1/4 in fraction form

Mathematics
1 answer:
ryzh [129]2 years ago
5 0

Answer:

6 divided by 1/4 =(0.25), so 6÷ 0.25= 24

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1. In a recent wind storm a large tree broke and made a 58° angle
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*see attachement for diagram

Answer:

40.4 ft

Step-by-step explanation:

Let the part that broke away be represented as "x"

Thus, the digram makes a right triangle shape.

The closest total length of tree before the storm = x + 14 ft

Apply trigonometric function to find x.

Reference angle = 58°

Side adjacent to reference angle = 14 ft

Hypotenuse = x

Apply CAH, which is:

Cos 58 = adj/hyp

Cos 58 = 14/x

x * Cos 58 = 14

x = 14/Cos 58

x = 26.4191188 ≈ 26.4 ft

✔️closest total length of tree before the storm = x + 14 ft = 26.4 + 14 = 40.4 ft

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Answer:

a) CI = ( 5,1 ; 5,7 )

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Standard deviation   s = 1,3

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z(c) for  0,005 is from z-table    z(c)  = 2,575

z(c)  =  ( X - μ ) /s/√n          CI  =  μ ± z(c) * s/√n

CI =  5,4 ± 2,575* 1,3/10

CI = 5,4 ± 0,334

CI = ( 5,1 ; 5,7 )

b) SE = Standard deviation / √n

SE = 1,3 /10       SE =  0,1  

We can support that with 99 % of probability our random variable will be in the CI.

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Step-by-step explanation:

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Answer is D. 168

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