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Elena L [17]
3 years ago
6

HELP 30 POINTS!!!!!

Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

by pythagorean formula, the last side is √(61)

by cos rule

cos A

=  \frac{ {6}^{2}  + 61 -  {5}^{2} }{2 \times 6 \times  \sqrt{61} }  \\  =  \frac{72}{12 \sqrt{61} }   \\  =  \frac{6}{ \sqrt{61} }

A = 39.81

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Answer:

2.22

Step-by-step explanation:

4/9 x 5

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2 years ago
Type the correct answer in each box. Consider the sum of cubes identity: a3 + b3 = (a + b)(a2 − ab + b2). For the polynomial 8x3
zhuklara [117]

Answer:

a = 2x, b = 3.

Step-by-step explanation:

8x^3+27 = (2x)^3 + 3^3

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4 0
3 years ago
A random sample of 77 fields of corn has a mean yield of 26.226.2 bushels per acre and standard deviation of 2.322.32 bushels pe
PSYCHO15rus [73]

Answer:

Therefore the  95% confidence interval is (25,707.480 < E < 26,744.920)

Step-by-step explanation:

n = 77

mean u = 26,226.2  bushels per acre

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let E = true mean

let A = test statistic

Find 95% Confidence Interval

so

let  A =  (u - E) *  (\sqrt{n}  / s)   be the test statistic

we want      P( average_l <  A  < average_u )  = 95%

look for  lower 2.5%  and the upper 97.5%  Because I think this is a 2-tail test

average_l =  -1.96  which corresponds to the 2.5%

average_u = 1.96

P(  -1.96  <  A  <  1.96)  =  95%

P(  -1.96  <  (u - E) *  (\sqrt{n}  / s)  <  1.96)  =  95%

Solve for the true mean E ok

E   <   u + 1.96* (s  / \sqrt{n})

from  -1.96  <  (u - E) *  (\sqrt{n}  / s)

E < 26,226.2 +  1.96*( 2,322.32 / \sqrt{77} )

E < 26,226.2 +  1.96*( 2,322.32 / \sqrt{77} )

E < 26,226.2 +  518.7197348105429466

upper bound is 26,744.9197

or

u - 1.96* (s  / \sqrt{n})  < E

26,226.2 -  518.7197348105429466  < E

25,707.48026519  < E

lower bound is 25,707.48026519

Therefore the  95% confidence interval is (25,707.480 < E < 26,744.920)

7 0
3 years ago
What is the measure of
sesenic [268]

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In triangles ABD y BCD:

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3 0
3 years ago
Read 2 more answers
The expression 3(x-9) is equivalent to
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The answer to this question would be D. 3(x)-3(9)
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