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astra-53 [7]
3 years ago
15

Spencer wants to burn 450 calories while biking. Biking burns about 10 calories per minute. When Spencer goes biking, he usually

plans to stop and rest for about 15 minutes. Complete the equation below to find the total number of minutes (including rest) that Spencer shold plan to be out biking. Use m to represent the total minutes.
Mathematics
1 answer:
alexdok [17]3 years ago
3 0
It's 60 minutes because 450÷10 is 45 so he has to bike for 45 minutes and a 15 minute break would make it 60 minutes
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Step-by-step explanation:

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A counselor records the number of disagreements (per session) among couples during group counseling sessions. If the number of d
Shalnov [3]

Answer:

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And we can find this probability with the complement rule:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the disagreements of a population, and for this case we know the distribution for X is given by:

X \sim N(4.4,0.4)  

Where \mu=4.4 and \sigma=0.4

We are interested on this probability

P(X>4)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)

And we can find this probability with the complement rule:

P(z>-1)=1-P(z

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