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vlada-n [284]
3 years ago
5

Find an equation of the line having the given slope and containing the given point. m=-7,(5,9) the equation of the line is y=

Mathematics
1 answer:
k0ka [10]3 years ago
6 0
Open this web, the web is really - really helps.................................... http://www.coolmath.com/algebra/08-lines/11-finding-equation-line-point-slope-01
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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

6 0
2 years ago
Three friends all have ages that are consecutive integers. The sum of their ages is 48. what is the age of the eldest friend?
Schach [20]

Answer:

C.17 years old

Step-by-step explanation:

consecutive means that they come after each other

17+16+15=48

4 0
2 years ago
Read 2 more answers
Sanjay needs 90 meters of fence to go around a rectangular garden.
VladimirAG [237]
W + 3w = 90 is obviously wrong
8 0
3 years ago
Read 2 more answers
The sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age, how old is Mel?
olga55 [171]

Answer:

Age of Mel is 25 years.

Step-by-step explanation:

It is given that,the sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age.

Let 'x' be the Ali's age  and 'y' be the Mel's age

<u>To find the value of x and y</u>

sum of Ali and Mel's age is 39

⇒ x + y = 39    ------(1)

  Mel is 3 years younger than twice Ali's age

⇒ y = 2x - 3   -------(2)

⇒  2x - y = 3  -----(3)

(1) + (3) ⇒  

 x + y = 39

2x - y = 3

----------------

3x   = 42

x = 42/3 = 14

y = 2x - 3 = 14*2 - 3  = 25

Therefore the age of Ali = 14

Age of Mel = 25

4 0
3 years ago
Why is this app not working?
Aloiza [94]

Answer:

try restarting it or re downloading

3 0
3 years ago
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