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RoseWind [281]
2 years ago
11

Simplify answer should only contain positive exponents

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
6 0

Answer:

13)  \frac{3m}{2n^2} (answer (C))

14)  \frac{4b}{3} (answer (A))

Step-by-step explanation:

Problem 13)

Cancel  out in PAIRS the common factors in numerator and denominator

\frac{3m^4n^2}{2m^3n^4} =\frac{3m}{2n^2}

which agrees with answer C

Problem 14)

Cancel  out in PAIRS the common factors in numerator and denominator

\frac{4a^2b^2}{3ba^2} =\frac{4b}{3}

which agrees with answer A

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Once a year, a store offers a free frozen yogurt to its customers. Each customer can choose one flavor of frozen yogurt and one
Alex73 [517]

Answer:

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The answer is B

Step-by-step explanation:

2 times 4 = 8

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Each of a group of 20 intermediate tennis players is given two rackets, one having nylon strings and the other synthetic gut str
sergeinik [125]

Answer:

Find answers below

Step-by-step explanation:

H0: P <= 0.5

Ha: P > 0.5

, the number who prefer gut strings is <= a number or the test tends towards the  left-tailed.

{0,1,2,3,4,5} ;  

{15,16,17,18,19,20} is a right-tailed test and not appropriate for H0:

{ 0,1,2,3,17,18,19,20} is two-tailed and not appropriate for H0:

b)

Does the region specify a level .05 test? No

 

P = proportion who prefer gut strings to nylon

P = X /20

Assume alpha = 0.05

z(alpha) = -1.645

Reject if (x/20 - 0.5) / sqrt[ (0.5)(0.5)/20 ] < -1.645

Reject if (x/20 - 0.5) <  < (-1.645) sqrt ( (0.5)(0.5)/20 )

Reject if x/20   < (-1.645) sqrt ( (0.5)(0.5)/20 ) + 0.5

Reject if x/20   < 0.316

Reject if x   < (0.316)(20) = 6.32

{0,1,2,3,4,5,6} is the region for the best level 0.05 test

c)

According to (a),  reject H0 if x <= 5

P( Type II error) = P( do not reject H0/ when Ha is true)

P( Type II error) = P( x > 5/ P=0.6)

x ---p(x)

6  0.004854  0.998388  

7  0.014563    

8  0.035497  

9  0.070995  

10  0.117142  

11  0.159738  

12  0.179706  

13  0.165882  

14  0.124412  

15  0.074647  

16  0.034991  

17  0.012350  

18  0.003087  

19  0.000487  

20  0.000037  

add: 0.9984 --  proba bility of a type II error

Assuming P=0.8

P( Type II error) = P( x > 5/ P=0.8)

6  0.000002  1.000000  

7  0.000013  

8  0.000087  

9  0.000462  

10  0.002031  

11  0.007387  

12  0.022161  

13  0.054550  

14  0.109100  

15  0.174560  

16  0.218199  

17  0.205364  

18  0.136909  

19  0.057646  

20  0.011529  

add: 1.0000  probability of a type II error

d)

P( x <= 13) =  

0  0.000001  

1  0.000019  

2  0.000181  

3  0.001087  

4  0.004621  

5  0.014786  

6  0.036964  

7  0.073929  

8  0.120134  

9  0.160179  

10  0.176197  

11  0.160179  

12  0.120134  

13  0.073929  

add: 0.9423 < 0.10 ,  H0 cannot be rejected

5 0
3 years ago
Jacob bought a TV for $178.10, including tax. He made a down payment of $35.00 and paid the balance in 5 equal monthly payments.
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178-35=143

143/5= 28.6

he paid $28.6 every month
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2 years ago
What the sum of 57.03 + 2.08​
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Answer:

59.11

Step-by-step explanation:

57.03 + 2.08=

59.11

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