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Studentka2010 [4]
3 years ago
11

Question: Consider the domain (D) and rule of each function. Determine the range of the function. 1. D = {0, 1, 2, 3}; f(x) = 3x

− 5 2. D = {−1, 0, 1}: f(x) = 1 − x2 3. D = { −2, −1, 0, 1}: f(x) = x2 + x − 2 4. D = {0, 1, 2, 3}; f(x) = 3 − 2x
Mathematics
1 answer:
Maksim231197 [3]3 years ago
5 0

For every function you need evaluate the function for every value in the domain D. And the collection of this values correspond to the range of the function.

1. D = \{0,1,2,3 \}, R = \{f(0), f(1), f(2), f(3) \} = \{-5, -2, 1, 4 \}.

2. D = \{-1,0,1 \}; R= \{f(-1), f(0), f(1)\} = \{0, 1, 0 \} = \{0,1\}

3. D = \{-2,-1,0,1 \}; R = \{f(-2), f(-1), f(0), f(1) \} = \{0, -2, -2, 0 \} = \{-2,0\}

4. D = \{0,1,2,3 \}; R =\{f(0), f(1), f(2), f(3) \} = \{3, 1, -1, -3 \}

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A survey of people on pizza preferences indicated that 55 percent preferred pepperoni only, 30 percent preferred mushroom only,
natka813 [3]

Answer:

C) Yes, because the joint probability of P and M is equal to 0.

Step-by-step explanation:

Given that, P represents the event that the selected person preferred pepperoni only.

And M represents the event that the selected person preferred mushroom only.

so, P and M are two mutually exclusive events because two events are mutually exclusive if they do not occur together.

Here, P and M cannot occur at same time.

so, the joint probability of P and M i.e) probability of both P and M to occur at same time is zero.

5 0
3 years ago
4)Jane has a bag of marbles. In the bag there are 4 red marbles, 8 blue marbles and 5 green
Llana [10]

Answer: There is 17 marbles

Step-by-step explanation:

A: 4+8+5=17

B: 8

C: It has more marbles than the others.

5 0
3 years ago
What is the equation of a line that is perpendicular to -x + 2y =4 and passes through the point (-2, 1)
Trava [24]

Answer:

y = -2x - 3

Step-by-step explanation:

-solve for y: y = 1/2x + 2

-perpendicular equals opposite slope: -2

-plug in the point: (1) = -2(-2) + b

                               1 = 4 + b

                                b = -3

put it all together: y = -2x - 3

8 0
3 years ago
Which is not a property of a parallelogram?
Nookie1986 [14]
"Contains four right angles" is the one among the following choices given in the question that is <span>not a property of a parallelogram. Parallelograms can have angles that are not ninety degrees. The correct option among all the options that are given in the question is the second option or option "B". </span>
3 0
3 years ago
According to the Knot, 22% of couples meet online. Assume the sampling distribution of p follows a normal distribution and answe
Ann [662]

Using the <em>normal distribution and the central limit theorem</em>, we have that:

a) The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.

b) There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.

c) There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1 - p)}{n}}, as long as np \geq 10 and n(1 - p) \geq 10.

In this problem:

  • 22% of couples meet online, hence p = 0.22.
  • A sample of 150 couples is taken, hence n = 150.

Item a:

The mean and the standard error are given by:

\mu = p = 0.22

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.22(0.78)}{150}} = 0.0338

The sampling distribution is approximately normal, with mean 0.22 and standard error 0.0338.

Item b:

The probability is <u>one subtracted by the p-value of Z when X = 0.25</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem:

Z = \frac{X - \mu}{s}

Z = \frac{0.25 - 0.22}{0.0338}

Z = 0.89

Z = 0.89 has a p-value of 0.8133.

1 - 0.8133 = 0.1867.

There is a 0.1867 = 18.67% probability that in a random sample of 150 couples more than 25% met online.

Item c:

The probability is the <u>p-value of Z when X = 0.2 subtracted by the p-value of Z when X = 0.15</u>, hence:

X = 0.2:

Z = \frac{X - \mu}{s}

Z = \frac{0.2 - 0.22}{0.0338}

Z = -0.59

Z = -0.59 has a p-value of 0.2776.

X = 0.15:

Z = \frac{X - \mu}{s}

Z = \frac{0.15 - 0.22}{0.0338}

Z = -2.07

Z = -2.07 has a p-value of 0.0192.

0.2776 - 0.0192 = 0.2584.

There is a 0.2584 = 25.84% probability that in a random sample of 150 couples between 15% and 20% met online.

To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213

4 0
2 years ago
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