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AlekseyPX
3 years ago
11

Divide 4 1/5 by 3 1/8. simplify the answer and write as a mixed number.

Mathematics
1 answer:
damaskus [11]3 years ago
6 0
(4 1/5) / (3 1/8) = 
(21/5) / (25/8) = 
21/5 * 8/25 = 
168/125 = 
1 43/125 <==
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F(x) = -4x + 5 and g(x) = x2 + 2<br> Find (f + g)(x)
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Step-by-step explanation:

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2 years ago
The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard d
Ad libitum [116K]

Answer: a. 0.14085

b. 3.826 x 10^{-3}

c.  0.5437

d. 0.0811  

Step-by-step explanation:

Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 , \mu = $527

Given standard deviation , \sigma = $160

Let X = amount spent on a randomly selected child

Also Z = \frac{X-\mu}{\sigma}

a. Probability(X>$700) = P(\frac{X-\mu}{\sigma} > \frac{700-527}{160}) = P(Z>1.08125) = 0.14085 {Using Z % table}

b. P(X<100) = P( Z < \frac{100-527}{160}) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x 10^{-3}

c. P(450<X<700) = P(X<700) - P(X<=450)

   P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592

   P(X<=450) = P(Z<= \frac{450-527}{160}) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155

   So final   P(450<X<700) =  0.8592 - 0.3155 = 0.5437

d. P(X<=300) = P(Z<= \frac{300-527}{160}) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811                                                                        

All the above probabilities are calculated using Z % table along with interpolation between two values.

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Answer:

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Step-by-step explanation:

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2 years ago
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Type your answer and then click or tap Done.<br> Simplify -(x-2y) - y.
AlladinOne [14]

Answer:

Step-by-step explanation:

x(x-2y)-(y-x)2  

Final result :

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Step by step solution :

Step  1  :

Equation at the end of step  1  :

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Step  2  :

2.1     Evaluate :  (y-x)2   =    y2-2xy+x2  

Final result :

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