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stepladder [879]

2 years ago

7

Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!

2 answers:

Mamont248 [21]2 years ago

7 0

<h2><em>If you put and label the three points in a line, you will see that RS + ST = RT. </em></h2><h2><em> </em></h2><h2><em>Then you only need to substitue with the expressions given for RS and ST to find RT. </em></h2><h2><em> </em></h2><h2><em>RT = x +1 + 2x - 2 = 3x - 1 </em></h2><h2><em> </em></h2><h2><em>Also, RT = 5x - 5 </em></h2><h2><em> </em></h2><h2><em>Then, 3x - 1 = 5x - 5 </em></h2><h2><em> </em></h2><h2><em>5x - 3x = 5 - 1 </em></h2><h2><em> </em></h2><h2><em>2x = 4 </em></h2><h2><em> </em></h2><h2><em>x = 4/2 = 2 </em></h2><h2><em> </em></h2><h2><u><em>X=2</em></u></h2>

viktelen [127]2 years ago

3 0

X Would Be 2 I Hope That Helped .

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It will cost her $8.55 at $4.75 a pound

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3 years ago

6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

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Answer:

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