Determine how many ways the family could have had one boy and 3 girls.

The table represents a logarithmic function f(x). Use the description and table to graph the function, and determine the domain

dusya [7]

The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞

<h3>How to determine the domain?</h3>

This is the set of input values on the table.

All input values (i.e. the x values) on the table are greater than 0 i.e. x > 0

Using the inequality notation, the domain of the table is x > 0

<h3>How to determine the range?</h3>

From the table, the logarithmic function outputs all zero, positive and negative numbers.

This means that the range is the set of all real numbers i.e. -∞ to ∞

Using the inequality notation, the range of the table is -∞ < f(x) < ∞

Read more about domain and range at:

brainly.com/question/11787743

#SPJ1

4 0

2 years ago

According to a survey, 60 % of the residents of a city oppose a downtown casino. Of these 60 % about 8 out of 10 strongly opp

katrin [286]

Answer:

(a) 0.48

(b) 0.20

(c) it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the casino.

Step-by-step explanation:

(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino.

The probability that a radomly selected resident opposes the casino and strongly opposes the cassino is the product of the two probabilities, that a resident opposes the casino and that it strongly opposes the casino (once it is in the first group) as it is shown below.

Use this notation:

Probability that a radomly selected resident opposes the casino: P(A)

Probability that a resident who opposes the casino strongly opposes it: P(B/A), because it is the probability of event B given the event A

i) Determine the <em>probability that a radomly selected resident opposes the casino</em>, P(A)

Probability = number of favorable outcomes / number of possible outcomes

P(A) is <em>given as 60%</em>, which in decimal form is 0.60

ii) Next, determine,the <em>probability that a resident who opposes the casino strongly opposes it</em>, P(B/A):

It is given as 8 out of 10 ⇒ P(B/A) = 8/10

iii) You want the probability of both events, which is the joint probability or intersection: P(A∩B).

So, you can use the definition of conditional probability:

P(B/A) = P(A∩B) / P(A)

iv) From which you can solve for P(A∩B)

P(A∩B) = P(B/A)×P(A) = (8/10)×(0.60) = 0.48

(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.

In this case, you just want the complement of the probability that <em>a radomly selected resident who opposes the casino does strongly oppose the casino</em>, which is 1 - P(B/A) = 1 - 8/10 = 1 - 0.8 = 0.2.

(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino?

You are being asked about the joint probability (PA∩B), which you found in the part (a) and it is 0.48.

That is almost 0.50 or half of the population, so you conclude it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the casino.

8 0

3 years ago

How do you simplify x^1/2 x^3/10 x^2/5/(x^2)^-1/2

shusha [124]

Answer:

the chinese microscpotic flu contains 1 ounce of our blood

jonony me superhero spidermam

Step-by-step explanation:

jonony me superhero spidermam

7 0

3 years ago

The line of reflection is blank and the coordinates of C' are blank ?

denpristay [2]

Answer:

I did this before it is C

Step-by-step explanation:

4 0

3 years ago

a _ variable represented by the symbol h can take on any number of numeric values and allow arithmetic operations to be performe

kiruha [24]

Answer: It would be a Constant variable.

Hope this helps!

3 0

2 years ago