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3 years ago

Which triangles are similar?

Mathematics

1 answer:

topjm [15]3 years ago

4 0

Abe- acd

Hope it is right

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A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), t

KATRIN_1 [288]

Answer:

T(2, -1)

T(1, 2)

Step-by-step explanation:

From (3, 2) to (5, 1), the translation is T(2, -1). x goes up by 2. y goes down by 1.

From (5, 1) to (6, 3), the translation is T(1, 2). x goes up by 1. y goes up by 2.

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3 years ago

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9. Si Diana compro una botella de aguardente, una de vino y una de wisky, todas por $260.000 botella de wisky costo el doble que

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The answer is D.32.000

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3 years ago

First five multiples of 15

BARSIC [14]

The first 5 multiples of 15 are: 0, 15, 30, 45, 60

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3 years ago

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Is 12.2 a rational or irrational number

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Hope this answered your question.

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3 years ago

Suppose that 75% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

RSB [31]

Answer:

b) 0.2961

c) 0.2251

d) Mean = 11.25, Standard deviation = 1.667

Step-by-step explanation:

We are given the following information:

We treat trucks undergoing a brake inspection passin as a success.

P( trucks undergoing a brake inspection passes the test) = 75% = 0.75

a) Conditions for binomial probability distribution

There are n independent trial.
Each trial have a success probability p
The probability of success is same for all trials.

Then the number of trucks undergoing a brake inspection follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 15

b) P(proportion of groups will between 8 and 10 trucks pass the inspection)

We have to evaluate:

$P(8\leq x \leq 10) = P(x = 8) + P(x = 9) + P(x = 10)\\= \binom{15}{8}(0.75)^8(1-0.75)^7 + \binom{15}{9}(0.75)^9(1-0.75)^6 + \binom{15}{10}(0.75)^{10}(1-0.75)^5\\= 0.0393 + 0.0917 + 0.1651\\= 0.2961$

c) P( exactly 3 trucks fail the inspection)

p = 0.25

$P(x = 3)\\= \binom{15}{3}(0.25)^3(1-0.25)^{12}\\=0.2251$

d) Mean and standard deviation

$\mu = np = 15(0.75) = 11.25\\\sigma = \sqrt{np(1-p)} = \sqrt{15(0.75)(1-0.75)} = 1.667$

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3 years ago