Please answer these two questions on ratios.

1 answer:

4 0

1. first you have to find what they ran so what I did was take 28.5 km and divided by 3 because the ratio is 5:2 and 3 is the number difference. 28.5 km divided by 3 = 9.5 so every ratio is going into a 9.5 km part. For example, if the ratio was 2:1 the km ratio would be 19 km: 9.5 km. so I to 9.5 x 5=47.5 km and 9.5*2=19 km
so the 5:2 ratio is equal to 47.5 km : 19 km
The combined running distance would be 66.5 km

2. If the recommended ratio 5:2:3 and Kate wants to have 22 grams of protein(middle) that means her carbohydrates and fat would have to go up 2 x11 =22 so you would do the 5:2:3 ratio and times all three by 11. so the new ratio is 55:22:33. the 55 are your carbohydrates, the 22 are your proteins, and the 33 are your fats. The new ratio is 55:22:33

If Kate plans to eat 22g of protein she woulg have to have 55g of carbohydrates with it. Also she will have to have 33g of fats.

Hope this helps!
Tell me if these are correct.

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Step-by-step explanation:

For this case we assume the following complete question: "The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.86 ounces and a standard deviation of 0.13ounces. What percentage of the pucks produced at this factory cannot be used by the National Hockey League? Round your answer to two decimal places. "

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 weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(5.86,0.13)$