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Deffense [45]
3 years ago
7

Triangle ABC is similar to triangle PQR, as shown below:

Mathematics
2 answers:
dalvyx [7]3 years ago
8 0
Let's see here... well, since the first letter in the ratio is from the first triangle, then, the first one in the equal ratio is going to have to be that as well, and the ratio of c:a wouldn't work, since c was already used. By process of elimination, it's gotta be b:q.
Montano1993 [528]3 years ago
8 0

we know that

If triangle ABC is similar to triangle PQR

then

the corresponding sides are proportional

so

\frac{AC}{PR}= \frac{AB}{PQ}= \frac{BC}{QR}

substitute the values

\frac{b}{q}= \frac{c}{r}= \frac{a}{p}

\frac{c}{r}=\frac{b}{q}

\frac{c}{r}=\frac{a}{p}

therefore

<u>the answer is the option</u>

b:q


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Which expressions are equivalent to 4(4a+5) <br> Select:<br> 16a+5<br> 16a+20
bija089 [108]
Use the property of distribution:

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Zarrin [17]

Answer:

The length of the interval during which no messages arrive is 90 seconds long.

Step-by-step explanation:

Let <em>X</em> = number of messages arriving on a computer server in an hour.

The mean rate of the arrival of messages is, <em>λ</em> = 11/ hour.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 11.

The probability mass function of <em>X</em> is:

P(X=x)=\frac{e^{-11}11^{x}}{x!};\ x=0,1,2,3....

It is provided that in <em>t</em> hours the probability of receiving 0 messages is,

P (X = 0) = 0.76

Compute the value of <em>t</em> as follows:

P(X=0)=\frac{e^{-11\times t}(11\times t)^{0}}{0!}\\0.76=e^{-11\times t}\\\ln(0.76)=-11\times t\\t=-\frac{\ln(0.76)}{11} \\=0.025\ hours\\\approx90\ seconds

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6 0
3 years ago
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Step-by-step explanation:

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6. [infinity]−[infinity] = ∞

7. [infinity]−e = ∞

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