You have $20 to spend on taxi fare. The ride costs $5 plus $2.50 per kilometer.

Please help. the question is in the picture.

Harlamova29_29 [7]

We have measures of all tree sides of the both triangles,

so we can use SSS to check if the triangles are similar.

|ED|/|AB| =5/10=1/2

|DC|/|BC| = 4/8 = 1/2

|EC|/|AC| = 6/12 = 1/2

We see that all tree pairs are in proportion, so these triangles ΔABC and ΔEDC are similar.

We have enough information to prove that ΔABC similar to ΔEDC.

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3 years ago

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The web logs of a certain website show that the average number of hits in an hour is 75 with a standard deviation equal to 8.6.

Wittaler [7]

Answer:

a) There is a 10.75% probability of observing less than 60 hits in an hour.

b) The 99th percentile of the distribution of the number of hits is 95.21 hits.

c) There is a 24% probability of observing between 80 and 90 hits an hour

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

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

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. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem, we have that

The web logs of a certain website show that the average number of hits in an hour is 75 with a standard deviation equal to 8.6, so $\mu = 75, \sigma = 8.6$ .