Set of negative integers greater than -6. Write the given sets in roster form.

The graph represents the piecewise function: f(x) = What is the domain and range of the function? Domain: Range:

White raven [17]

Answer:

domain: All real numbers

Range: all real numbers greater than or equal to 0

Step-by-step explanation:

Edge 2020

4 0

2 years ago

Read 2 more answers

Problem 5 (4+4+4=12) We roll two fair 6-sided dice. Each one of the 36 possible outcomes is assumed to be equally likely. 1) Fin

tekilochka [14]

Answer:

1

$p(b) = \frac{1}{6}$

2

$p(k) = \frac{1}{3}$

3

$P(a) = \frac{1}{3}$

Step-by-step explanation:

Generally when two fair 6-sided dice is rolled the doubles are

(1 1) , ( 2 2) , (3 3) , (4 4) , ( 5 5 ), (6 6)

The total outcome of doubles is N = 6

The total outcome of the rolling the two fair 6-sided dice is

n = 36

Generally the probability that doubles (i.e., having an equal number on the two dice) were rolled is mathematically evaluated as

$p(b) = \frac{N}{n}$

$p(b) = \frac{6}{36}$

$p(b) = \frac{1}{6}$

Generally when two fair 6-sided dice is rolled the outcome whose sum is 4 or less is

(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (3, 1)

Looking at this outcome we see that there are two doubles present

So

The conditional probability that doubles were rolled is mathematically represented as

$p(k) = \frac{2}{6}$

$p(k) = \frac{1}{3}$

Generally when two fair 6-sided dice is rolled the number of outcomes that would land on different numbers is L = 30

And the number of outcomes that at least one die is a 1 is W = 10

So

The conditional probability that at least one die is a 1 is mathematically represented as

$P(a) = \frac{W}{L}$

=> $P(a) = \frac{10}{30}$

=> $P(a) = \frac{1}{3}$

3 0

2 years ago

Suppose babies born in a large hospital have a mean weight of 3316 grams, and a standard deviation of 324 grams. If 83 babies ar

Anuta_ua [19.1K]

Answer: 0.129

Step-by-step explanation:

Let $\overline{X}$ denotes a random variable that represents the mean weight of babies born.

Population mean : $\mu= \text{3316 grams,}$

Standard deviation: $\text{324 grams}$

Sample size = 83

Now, the probability that the mean weight of the sample babies would differ from the population mean by greater than 54 grams will be :

$P(|\mu-\overline{X}|>54)=1-P(\dfrac{-54}{\dfrac{324}{\sqrt{83}}}$

hence, the required probability = 0.129

5 0

2 years ago

Thomas wants to estimate the mean height of students attending his college. He records the heights of 25 randomly selected stude

Nadya [2.5K]

Answer: B - The mean height of all the students of the college.

Explanation:

In statistics, the concept of parameter refers to the value that you want to know about a population to characterize it, for example, mean height, mean age, etc.

In this case, the value that you want to know about the population of the college is the mean height of its students, so the correct option is B.

The following concepts are used in statistics that can be applied to the given example:

- Population (all students of the university).

- Parameter (mean height of university students).

- Sample (the 25 randomly selected students).

- Elements (the heights of the selected students).

- Estimator (average height of randomly selected students).

7 0

1 year ago

The sales tax charged on a $40 dress was $3.20.what is the sales tax rate charged on the dress?

Ulleksa [173]

Answer:

8%

Step-by-step explanation:

3.20 divided by 40 = 0.08

0.08 = 8% therefore $3.20 divided by $40.00 = 8% sales tax

5 0

2 years ago