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Lostsunrise [7]
3 years ago
10

Elaine is 8 years younger than her brother Tyler. The sum of their ages is 34. Define a variable and then write and solve an equ

ation to find Elaine’s and Tyler’s ages.
Mathematics
1 answer:
Damm [24]3 years ago
6 0

Answer: Elaine=13 years old Tyler=21 years old

Step-by-step explanation:

Let x = Elaine's age, so her brother Tyler's age = x+8

 Elaine+Tyler=34

          x+(x+8)=34

             2x+8=34

                 2x=26

                   x=13

Elaine=13 years old

Tyler=21 years old

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Answer: a. 0.14085

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c.  0.5437

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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

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

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   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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