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Karolina [17]
3 years ago
12

Solve this equation -3x+1+10x=x+4

Mathematics
2 answers:
umka21 [38]3 years ago
5 0
<span>-3x+1+10x = x + 4
       7x + 1 = x + 4
       7x - x  = 4  - 1
         6x     = 3
           x =3/6
           x = 1/2</span>
Salsk061 [2.6K]3 years ago
3 0

Answer: x=\frac{1}{2}

Explanation:

We have been given with the equation -3x+1+10x=x+4

We will collect the terms that are written in variable of x in one side and the constant values on the other side we will get

-3x+10x-x=4-1

After simplification we will get  6x=3

which implies x=1/2

When x from right hand side shift  will shift to left hand side it will change its sign and similarly when 1 from left hand side shift to right hand side change its sign.

Therefore, x=1/2

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Answer:

$2.50+$1.25 times M

Step-by-step explanation:

$10.75-$8.25=$2.50

$3.50-$2.25=$1.25

$2.50+$1.25=$3.75

As only one-time fee, we cancel out it, then only add on the per-month fee, which is $1.25 every month.

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3 years ago
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Tcecarenko [31]

Answer:

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

Step-by-step explanation:

For each passenger, there are only two outcomes possible. Either they show up for the flight, or they do not show up. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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

And \pi is the probability of X happening.

A probability is said to be unusually low if it is lower than 5%.

For this problem, we have that:

There are 200 reservations, so n = 200.

A passenger consists in a passenger not showing up. There is a .0995 probability that a passenger with a reservation will not show up for the flight. So \pi = 0.0995.

Find the probability that when 200 reservations are accepted for United Flight 15, there are more passengers showing up than there are seats available.

X is the number of passengers that do not show up. It needs to be at least 18 for the flight not being overbooked. So we want to find P(X < 18), with \pi = 0.0995, n = 200. We can use a binomial probability calculator, and we find that:

P(X < 18) = 0.2927.

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

5 0
2 years ago
Adam plans to choose a video game from a section of the store where everything is 75% off. He writes the expression −0.75 to fin
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Answer:

Step-by-step explanation:

Adam plans to choose a video game from a section of the store where everything is 75% off.

The expression written by him for this situation is d - 0.75d.

Here, the part d represents the sale price before discount and the part 0.75d is the discount amount.

The expression written by Rena is 0.25d.

Here, the part 0.25d is the price after discount. Since 75% is the discount, the rate after disount is 25% and 25% of d is 0.25d.

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