Change 39/25 to a percent

Mathematics

1 answer:

Natasha2012 [34]3 years ago

7 0

39/25 as a percent is 156%

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In the figure, ∆ABC~∆XYZ. What is the perimeter of ∆ABC? Show your work.

Elina [12.6K]

Answer:

49 units

Step-by-step explanation:

Given the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{BC}{YZ}$ = $\frac{AB}{XY}$ , substitute values

$\frac{BC}{44}$ = $\frac{11}{22}$ ( cross- multiply )

22BC = 484 ( divide both sides by 22 )

BC = 22

------------------------------------------------

Similarly

$\frac{AC}{XZ}$ = $\frac{AB}{XY}$ , substitute values

$\frac{AC}{32}$ = $\frac{11}{22}$ ( cross- multiply )

22AC = 352 ( divide both sides by 22 )

AC = 16

Thus perimeter of Δ ABC is

perimeter = AB + BC + AC = 11 + 22 + 16 = 49 units

5 0

4 years ago

The time taken to complete a motorcycle race is normally distributed, with an average time (µ) of 2.5 hours and a standard devia

torisob [31]

Using the normal distribution, there is a 0.5398 = 53.98% probability that a randomly selected cyclist will take at least 2.45 hours to complete the race.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 2.5, \sigma = 0.5$

The probability that a randomly selected cyclist will take at least 2.45 hours to complete the race is <u>one subtracted by the p-value of Z when X = 2.45</u>, hence:

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

$Z = \frac{2.45 - 2.5}{0.5}$