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3 years ago

How are the triangles similar PLEASEEE HELPPPPPPP

Mathematics

1 answer:

Furkat [3]3 years ago

6 0

Answer:

AA similarity postulate

Hope this helps you. Do mark me as brainly.

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Ivahew [28]

Answer:

$Q_1=18.69\\Q_2=22.2\\Q_3=25.7$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 22.2 miles per gallon

Standard Deviation, σ = 5.2 mpg

We are given that the distribution of gas mileage is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

First Quartile(Cumulative proportion 0.25)

We have to find the value of x such that the probability is 0.25

P(X < x)

$=P( z \leq \displaystyle\frac{x - 22.}{5.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 22.2}{5.2} = -0.674\\\\x = 18.69$

$Q_1 = 18.69$

Second Quartile(Cumulative proportion 0.5)

We have to find the value of x such that the probability is 0.5

P(X < x)

$=P( z \leq \displaystyle\frac{x - 22.}{5.2})=0.5$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 22.2}{5.2} = 0.0\\\\x = 22.2$

$Q_2 = 22.2$

Third Quartile(Cumulative proportion 0.75)

We have to find the value of x such that the probability is 0.75

P(X < x)

$=P( z \leq \displaystyle\frac{x - 22.}{5.2})=0.75$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 22.2}{5.2} = 0.674\\\\x = 25.70$

$Q_3 = 25.70$

Inter-quartile range:

$Q_3-Q_1=25.70-22.2 = 3.5$

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3 years ago