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3 years ago

Help me please????????

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

8 0

9514 1404 393

Answer:

A, C, E

Step-by-step explanation:

The proportional relations on the list are ...

feet and inches
flour and bread
gallons and cost

We often model running distance and time as proportional, but a marathon is a long enough run that speed is rarely constant. It usually decreases over the course, and may increase near the end.

A relationship is proportional if there is a constant multiplier that relates the output to the input.

_____

Additional comment

For the relations listed above, the constants are ..

the conversion factor between feet and inches
the amount of flour in a bread recipe
the price of a gallon of gas

For running time and distance, the multiplier is speed. The relation is only proportional if speed is a constant.

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a) 25.14% of the population is over 6ft tall.

b) Both are going to be normally distributed.

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Meters: $\mu = 1.778, \sigma = 0.0762$ cm

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Normally distributed with parameters $\mu = 70, \sigma = 3$ .