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mario62 [17]
3 years ago
5

Simplify the equation by combining

Mathematics
2 answers:
creativ13 [48]3 years ago
4 0
The answer would be 3x + 3.
Setler79 [48]3 years ago
3 0

Answer:

3x+3

Step-by-step explanation

Like terms are terms that contain the same variables raised to the same power. As such in your equation you would combine the <em>4x</em> and the <em>-x</em> because they contain the same variable (x). To combine these terms you simply add <em>4x + - x</em>, which can be written as <em>4x - x</em>. The product of this is <em>3x. </em>Because there is a <em>3</em> on its own with no other like terms to add to it the it, the simplified version of this equation would be <em>3x+3</em>.

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A person calls people to ask if they would like to extend their automobile insurance beyond the normal3years. The probability th
Sonbull [250]

Using the binomial distribution, it is found that there is a 0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

For each person, there are only two possible outcomes, either they say yes, or they say no. The probability of a person saying yes is independent of any other person, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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 probability that the seventh person is the first to say yes is P(X = 0) when n = 6(first six say no) multiplied by 0.37(probability the seventh say yes).
  • 37% say yes, hence p = 0.37

Then:

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

P(X = 0) = C_{6,0}.(0.37)^{0}.(0.63)^{6} = 0.0625

p = 0.37(0.0625) = 0.0231

0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

A similar problem is given at brainly.com/question/24863377

3 0
2 years ago
In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. Find the length of r, to the nearest 10th of an inch.
Lorico [155]

Answer:

365.9 Inches

Step-by-step explanation:

To find the value of Sin A can be found using the sine rule. the rule states that the ratio of the length facing an angle in a triangle to the sine of the angle is constant. As such,

a/Sin A = b/Sin B = c/Sin C

Where is a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.

Hence,

58/Sin 19 = r/Sin 115

r = 58 Sin 115/ Sin 19

= 365.9 Inches

8 0
3 years ago
What is the correlation coefficient r for the data set?
weeeeeb [17]

Answer:

the answer is -0.95

Step-by-step explanation:

8 0
3 years ago
*How does placing the Declaration of Independence in its historic context change its meaning?
Strike441 [17]

Answer:

Declaration of Independence was designed for multiple audiences: the King, the colonists, and the world. It was also designed to multitask. Its goals were to rally the troops, win foreign allies, and to announce the creation of a new country. The introductory sentence states the Declaration’s main purpose, to explain the colonists’ right to revolution. In other words, “to declare the causes which impel them to the separation.” Congress had to prove the legitimacy of its cause. It had just defied the most powerful nation on Earth. It needed to motivate foreign allies to join the fight.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the simplified answer to this problem 12 &gt; -3x + 6
Verdich [7]

In this question, you're simplifying the inequality by solving for x.

Solve for x:

12 > -3x + 6

<em>flip the equation:</em>

-3x + 6 < 12

<em>subtract 6 from both sides</em>

-3x < 6

<em>divide both sides by -3, while also flipping the inequality</em>

x > -2

Answer:

x > -2

8 0
3 years ago
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