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Goryan [66]
3 years ago
12

If you have the equations 2x + 3y = 18 and y = 2x + 12 and use the substitution method to solve, what would be the value of x? A

NSWER FAST!!!
Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

Answer:

x= -2.25

Step-by-step explanation:

2x+3(2x+12)=18

2x+6x+36=18

8x+36=18

8x= -18

x= -9/4= -2.25

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A video game developer
vitfil [10]

Answer:

y = 13x

Step-by-step explanation:

If "y" represents how much he earns total

and "x" represents the number of games sold

then the equation is y=65\frac{x}{5}

which can be simplified to y = 13x

8 0
3 years ago
2. Suppose that you are looking for a student at your college who lives within five miles of you. You know that 55% of the 25,00
svlad2 [7]

Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, 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:

  • 55% of the students live within five miles of you, thus p = 0.55.

Item a:

This probability is P(X = 0) when n = 3(none of the first three living within five miles of you) multiplied by 0.55(the fourth does live within five miles), hence:

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

P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125

p = 0.091125(0.55) = 0.0501

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

E = \frac{q}{p}

In this problem, p = 0.55, and 1 trial, thus q = 1, hence:

E = \frac{1}{0.55} = 1.82

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

S = \frac{\sqrt{q(1 - p)}}{p}

Hence, since q = 1, p = 0.55:

S = \frac{\sqrt{0.45}}{0.55} = 1.22

The standard deviation is of 1.22 students.

Item d:

This probability is P(X = 3) when n = 5, hence:

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

P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369

There is a 0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

E(X) = np

Hence, since n = 5, p = 0.55:

E(X) = 5(0.55) = 2,75

It is expected that 2.75 students live within five miles of you.

A similar problem is given at brainly.com/question/25343741

7 0
3 years ago
What is 9 times 5 /8? as a mixed number? somebody please help me find the answer!
mr Goodwill [35]

Answer:

5 5/8

Step-by-step explanation:

9 = 9/1

so 9 x 5/8 = 9/1 x 5/8

you could quickly make it 45/8 or make it 9x5/1x8

45/8 is improper so you have to see which multiple of 8 is the highest without exceeding the numerator

40 is the closest and it is 8x5 so 5 will be the integer.

there are 5 leftover so 5 is also the numerator

and the denominator stays 8 as there is no further simplifying

so, the answer is 5 5/8

4 0
2 years ago
Read 2 more answers
Multiply (3x^3)(5x^2y)(x^5y^3)
nikitadnepr [17]
(3x^3)(5x^2y)(x^5y^3)=15 x^{10}  y^{4}
4 0
3 years ago
Roberts photo service charges $15 to print 20 photos what is the price per photo
andriy [413]
15÷20=0.75

he charges $0.75 per photo
3 0
3 years ago
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