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VladimirAG [237]
3 years ago
10

Please help

Mathematics
1 answer:
larisa [96]3 years ago
3 0

Step-by-step explanation:

1/3,0,9

9,3,27

1/9,3,27

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Mrac [35]

Answer:

d. Approximate the standard normal distribution with the Student's t distribution

(0.2199 ; 0.2327)

Step-by-step explanation:

Given that :

Sample size, n = 31

Sample mean, xbar = 0.2258

Sample standard deviation, s = 0.0188

Confidence interval (C. I) :

xbar ± margin of error

Margin of Error : Tcritical * s/sqrt(n)

Degree of freedom, df = n - 1 = 31 - 1 = 30

Tcritical value :

T0.05/2, 30 = 2.042

Margin of Error = 2.042 * 0.0188/sqrt(31)

Margin of Error = 0.0068949

C. I = 0.2258 ± 0.0068949

Lower boundary : (0.2258 - 0.006895) = 0.2189

Upper boundary : (0.2258 - 0.006895) = 0.2327

(0.2199 ; 0.2327)

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3 years ago
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Answer:

Lin ran at 2.9 meters per second. She can run 174 meters in a minute (2.9 times 60)

Step-by-step explanation:

If she can run 2.9 meters in a second then when you times that by four you get how far she can run in a minute

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Step-by-step explanation:

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Check the picture below.

now, bear in mind that, there are 60minutes in 1 degree, so 23' is just 23/60 degrees or about 0.38 degrees.

and 29' is just 29/60 degrees or about 0.48 degrees.

so 16°23' is about 16.38°, and 49°29' is about 49.48°

\bf tan(16.38^o)=\cfrac{200}{a+b}\implies a+b=\cfrac{200}{tan(16.38^o)}&#10;\\\\\\&#10;\boxed{b=\cfrac{200}{tan(16.38^o)}-a}&#10;\\\\\\&#10;tan(49.48^o)=\cfrac{200}{b}\implies \boxed{b=\cfrac{200}{tan(49.48^o)}}\\\\&#10;-------------------------------\\\\&#10;\cfrac{200}{tan(49.48^o)}=\cfrac{200}{tan(16.38^o)}-a\\\\\\a=\cfrac{200}{tan(16.38^o)}-\cfrac{200}{tan(49.48^o)}

make sure your calculator is in Degree mode.

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Answer:

10 cm

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Diameter= 2X radius

20/ 2 = radius

20/2 = 10 cm

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