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2 years ago

What is the sum of (2x - 6) + (4x - 4)

Mathematics

2 answers:

Bumek [7]2 years ago

8 0

Answer:

6x - 10

Step-by-step explanation:

2x + 4x = 6x

6 + 4 = 10

6x - 10

Ilia_Sergeevich [38]2 years ago

4 0

The answer is. 6x - 10

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The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta

earnstyle [38]

Answer:

The probability that none of the meals will exceed the cost covered by your company is 0.2637.

Step-by-step explanation:

A hyper-geometric distribution is used to define the probability distribution of k success in n samples drawn from a population of size N which include K success. Every draw is either a success of failure.

The random variable X = number of meals that will exceed the cost covered by the company.

The random variable X follows a hyper-geometric distribution.

The information provided is:

N = 15

K = 3

n = 5

k = 0

The probability mass function of a hyper-geometric distribution is:

$P(X=k)=\frac{{K\choose k}{N-K\choose n-k}}{{N\choose n}}$

Compute the probability that none of the meals will exceed the cost covered by your company as follows:

$P(X=0)=\frac{{3\choose 0}{15-3\choose 5-0}}{{15\choose 5}}=\frac{1\times 792}{3003}=0.2637$

Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.

3 0

3 years ago

()+()+()+()+()=30

Iteru [2.4K]

There are 5 boxes, where we have to put given numbers. Addition of 5 odd numbers always gives an odd number result. 30 is an even number. So there is no combination of given numbers which can give you 30 as a result.

3 0

3 years ago

Jonathan is rolling to dice and needs to roll and 11 to win the game he is playing what is the probability that Jonathan wins th

hjlf

Answer:

1 / 18

Step-by-step explanation:

In a roll of two dice :

Number of faces on a dice = 6

Total sample space for 2 6-sided dice = (number of faces)^Number of dice = 6^2 = 36

Total possible outcomes = 36

Required outcome = sum of 11

11 = {(5,6) ; (6, 5)}) = 2 possibilities

Probability = required outcome / Total possible outcomes

P(obtaining a sum of 11) = 2 / 36 = 1/18

5 0

2 years ago

Suppose a certain drug test is 85% accurate, meaning that if a person is a user, the result is positive 85% of the time, and if

kakasveta [241]

Answer:

29.411 % of the result is true.

Step-by-step explanation:

This test's sensitivity is low.

Suppose we have 5 drug users and 85% of the test is accurate meaning that 5* 0.85= 4.25 people are drug users which is true.

But if work for the non users than 5% people being drug users means 95 people are non drug users out of the hundred.

And 85 % accuracy would give 95* 0.85= 80.75 which is very high.

And out of the 80.75 * 15%= 12.11 only 12 are positive .

The results give us 5 out of 17 true possibilities

or 5/17 *100= 29.411 % of the result is true.

8 0

2 years ago

Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2

valentina_108 [34]

Answer:

Solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

Step-by-step explanation:

We need to solve the equation $x^2+6x-8=0$ by completing the square method.

For completing the square method: we need to follow: $a^2+2ab+b^2=(a+b)^2$

We are given:

$x^2+6x-8=0$

Solving by completing the square

$x^2+2(x)(?)+(?)^2-8=0$

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

$x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17$

So, solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

7 0

2 years ago