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3 years ago

Yesterday,

Mathematics

2 answers:

marishachu [46]3 years ago

8 0

Answer:

The unit rate for miles per gallon is 33.75. 33.75 as a fraction 135/75

Step-by-step explanation:

35.5 divided by 1.75 is 33.75

33.75 as a fraction is 135.75 which is an improper fraction

So you have to divide the numerator by the denominator

135 divided by 75 is 1.8 as a decimal

AveGali [126]3 years ago

5 0

Answer:

28.4

Step-by-step explanation:

35 1/2 miles over 1 1/4 gallons of gasoline. 1 1/4 converted into an improper fraction is 5/4, so you multiply the numerator and denominator by 5/4. You need to multiply by 5/4 because you need to get to miles per gallon, which equals to 1. (A fraction multiplied by its reciprocal will always equal 1) once you've multiplied the numerator and denominator by the reciprocal, your answer will be 28.4 - hope this helped!

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MAVERICK [17]

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Semmy [17]

Answer:

The probability is $P(\= X > x ) = 0.78814$

Step-by-step explanation:

From the question we are given that

The population mean is $\mu = 149$

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The sample size is $n = 88$

The probability that the sample mean would be greater than $P(\= X > x ) = P( \frac{ \= x - \mu }{\sigma_{\= x} } > \frac{ x - \mu }{\sigma_{\= x} } )$

Generally the z- score of this normal distribution is mathematically represented as

$Z = \frac{ \= x - \mu }{\sigma_{\= x} }$

Now

$\sigma_{\= x } = \frac{\sigma }{\sqrt{n} }$

substituting values

$\sigma_{\= x } = \frac{14 }{\sqrt{88} }$

$\sigma_{\= x } = 1.492$

Which implies that

$P(\= X > x ) = P( Z > \frac{ 147.81 - 149 }{ 1.492} )$

$P(\= X > x ) = P( Z > -0.80 )$

Now from the z-table the probability is found to be

$P(\= X > x ) = 0.78814$

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Answer:

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Step-by-step explanation:

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