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Ksivusya [100]
3 years ago
10

What would be the steps taken to solve (x+3)^2-1=35

Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0

Answer:

Step-by-step explanation:

(x+3)^2=35+1

(x+3)^2=36

(x+3)^2=6^2

taking squareroot

x+3=+-6

x+3=6,-6

x=6-3=3

or x=-6-3=-9

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3 years ago
5x + 3y = -3 <br><br> 2X - 3y = 24
gregori [183]

Answer:

Y=-5/3x-1

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If you are adding then it is:

7x=21

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Step-by-step explanation:

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3 years ago
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Find the probability of each event.
jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<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:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

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

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

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

#SPJ1

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2 years ago
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nata0808 [166]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

2.3% as a decimal is 0.023


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