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2 years ago

WILL MARK BRAINLIEST, JUST HELP ME PLS

Mathematics

1 answer:

Luda [366]2 years ago

5 0

Answer:

SAS theorem

Step-by-step explanation:

If $\frac{CE}{CB} = \frac{DC}{AC}$ and m∠ECD = m∠BCA, then the triangles are similar by the SAS theorem.

$\frac{EC}{BC} = \frac{14}{21} = \frac{2}{3}$ $\frac{DC}{AC} = \frac{18}{27} = \frac{2}{3}$

So, $\frac{CE}{CB} = \frac{DC}{AC}$ and m∠ECD = m∠BCA because vertical angles are congruent

Therefore ΔECD is similar to ΔBCA by SAS theorem

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HELP ME PLEASE IF YOU WANT :(

ella [17]

Answer:

309,000,000

Hope this helps!

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3 years ago

Read 2 more answers

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.

Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

$f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}$

The probability for exponential distribution is given as:

$P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}$

a) P( time between the next two calls will be 54 seconds or less)

$P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763$

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

b) P(time between the next two calls will be greater than 118.5 seconds)

$p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285$

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

6 0

3 years ago

Which of the expressions is rational

miv72 [106K]

Answer:

the third one

Step-by-step explanation:

the square root of 25 is 5. 5+2 = 7.

this is a rational number (the set of all integers and fractions).

the other 2 portions contain at least one element that is not rational. and so the sum with such a number is not rational.

45 and 7 are no square numbers, and therefore the square root of these numbers contains a neverending chain of digits after the decimal point without having any repeating pattern. these are real numbers but not rational numbers.

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2 years ago

The sum of ten and the product of 4 and x

loris [4]

40 is the answer sorry if I’m wrong

8 0

4 years ago

Find the difference of -3/5 - (-5/9)<br> 20 points y'all<br><br> thanks<br> -Throckmorton

AlladinOne [14]

The work to your question

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3 years ago