GEOMETRY

Mathematics

1 answer:

Verizon [17]3 years ago

8 0

Answer:

He would walk 4 blocks less if there were a straight path

Step-by-step explanation:

You need to use pitagoras in this one.

Noam goes north and east, forming a right angle. A direct path would close the other paths forming a right triangle. Knowing this, you can do:

8^2 + 6^2 = X^2

64 + 36 = X^2

100 = X^2

X = 10 blocks

You know that he walks 14 blocks (8+6) to school normally, so a direct path would be 4 blocks shorter

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Tju [1.3M]

This is standard form for a linear equation

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3 years ago

The number of cigarettes smoked per day by adults forms a normal distribution. The average number of cigarettes smoked per day i

Mariana [72]

Answer:

17.3 cigarettes represent the 35th percentile

Step-by-step explanation:

Problems of normally distributed samples are 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:

$\mu = 20, \sigma = 7$