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zloy xaker [14]
3 years ago
10

Mark and lisa are on the swim team. Mark swims 3/8 mile each day. Lisa swims 5/8 mile each day. Which statement is correct? Mark

all that apply.
a. Mark swims farther than lisa each day.
b. Lisa swims the same distance as Mark each day.
c. Lisa swims less than 1 mile each da
d. Lisa swims farther than Mark each day.
Mathematics
2 answers:
Evgen [1.6K]3 years ago
8 0
A is incorrect because Mark sawn 2/8ths LESS than Lisa.
B is also incorrect because the the two fractions don't equal themselves
C is correct because she swam less than 8/8 (1 mile each day)
D is also correct because Lisa beats mark by 2/8ths
kondor19780726 [428]3 years ago
6 0
C. Lisa swims less than 1 mile each day.
d. Lisa swims more than Mark every day.
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P(x \geq 3) = P(z \geq \displaystyle\frac{3-4.5}{0.82}) = P(z \geq −1.82926)\\\\P( z \geq −1.82926) = 1 - P(z < -1.829)

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P(3 \leq x \leq 4) = P(\displaystyle\frac{3 - 4.5}{0.82} \leq z \leq \displaystyle\frac{4-4.5}{0.82}) = P(-1.829 \leq z \leq -0.609)\\\\= P(z \leq -0.609) - P(z < -1.829)\\= 0.271-0.034 = 0.237= 23.7\%

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We have to find the value of x such that the probability is 0.85.

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P( X > x) = P( z > \displaystyle\frac{x - 4.5}{0.82})=0.85  

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Calculation the value from standard normal z table, we have,  

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\displaystyle\frac{x - 4.5}{0.82} = -1.036\\x = 3.65

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