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Alex777 [14]
2 years ago
12

What is f(x) = 2/3x - 1? when x = 2

Mathematics
1 answer:
Dahasolnce [82]2 years ago
3 0

Answer:

f(2) = 1/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 2/3x - 1

x = 2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    f(2) = 2/3(2) - 1
  2. Multiply:                               f(2) = 4/3 - 1
  3. Subtract:                              f(2) = 1/3
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A school will offer pizza on Friday's if at least 30% of the students will buy it. A sample of 50 students asked if they would b
Whitepunk [10]

Answer:

0.0614

Step-by-step explanation:

Solution:-

- The school offers pizza on friday when at-least 30% students are willing to buy.

- The minimum required proportion of students, p = 30%

- A sample of n = 50 students were taken and out of the sample x = 10 people responded willing to buy pizza.

- We will denote a random variable X: the number of students willing to buy Pizza on fridays.

- For the sample of n = 50, for Pizza to be offered on friday the expected number of student who should opt for buying must be at-least:

           Expected ( Mean - u ) = n*p = 50*0.3 = 15 people.

- The standard deviation for the normal distribution can be determined as follows:

          standard deviation ( s ) = √n*p*(1-p)

                                                 = √50*0.3*(0.7)

                                                 = √10.5 = 3.2404

- We will assume that the random variable X follows normal distribution:

                       X ~ Norm ( 15 , 3.2404^2 )

- To determine the probability of sample of size n = 50 with proportion or lower. The number of people willing to buy pizza on friday as per survey are x = 10.

- Evaluate the standard normal ( Z-score ):

                      P ( X < x ) = P ( Z < ( x - u ) / s )

                      P ( X < 10 ) = P ( Z < ( 10 - 15 ) / 3.2404 )

                      P ( X < 10 ) = P ( Z < -1.54301 )

- Use the standard normal tables to determine the value of P ( Z < -1.54301 ):

                     P ( X < 10 ) = P ( Z < -1.54301 ) = 0.0614

Answer: The probability of getting a sample with the proportion or lower given a population with a proportion of .30 is 0.0614.

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3 years ago
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A college basketball coach has 12 players on his team. eight players are receiving scholarships, and four are not. the coach dec
EleoNora [17]

Solution: The given problem is a binomial distribution.

The probability that a team member receives a scholarship is \frac{8}{12} = 0.67

Therefore, the given problem follows binomial with n = 5 and p = 0.6667

Now the probability that 4 of 5 players selected are on scholarship is:

P(x=4) = \binom{5}{4} \times 0.6667^{4} (1-0.6667)^{5-4}

                  =5 \times 0.1976 \times 0.3333

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Therefore, the probability that 4 of 5 players selected are on scholarship is 0.329

                 

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Answer:

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Answer:

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Step-by-step explanation:

You have to factor out the -x from the rest of the expression.

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