Solve the inequality:<br> 5 (2h+8)

Find the following quantity. Do not round your answers. 42.1% of 375.4 =

Anna [14]

1. Set up a proportion
x/375.5 = 42.1/100
2. Solve the proportion
x= <span>158.0434</span>

4 0

4 years ago

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let AAA be the event that the six-sided d

sammy [17]

The question is incomplete. Here is the complete question.

Suppose that Adam rolls a fair six-sided die and a fair four-sided die simultaneously. Let A be the event that the six-sided die is an even number and B be the event that the four-sided die is an odd number. Using the sample space of possible outcomes below, answer each of the following questions.

What is P(A), the probabillity that the six-sided die is an even number?

What is P(B), the probability of the four-sided die is an odd number?

What is P(A and B), the probability that the six-sided die is an even number <em>and</em> the four-sided die is an odd number?

Are events A and B independent?

a) Yes, events A and B are independent events.

b) No, events A and B are not independent events.

Answer: P(A) = 1/2

P(B) = 1/2

P(A and B) = 1/4

a) Yes, events A and B are independent events.

Step-by-step explanation: The event A is related to a six-sided die, so total possibilities is 6.

For a six-sided die to show a even number, there are 3 possibilities: (2,4,6)

so, P(A) = 3/6 = 1/2

The event B is for a 4-sided die, i.e. total possibilities is 4.

To show an odd number, there are 2 possibilities: (1,3).

Then, P(B) = 2/4 = 1/2

Now, the probability of occuring A and B is:

P(A and B) = P(A).P(B)

P(A and B) = 1/2*1/2

P(A and B) = 1/4

The events are <u>independent</u> events because the probability of A happening does not influence the occuring of event B.

5 0

3 years ago

What are the transformations? f left parenthesis x right parenthesis space equals negative 3 left parenthesis x minus 4 right pa

Phoenix [80]

Answer:

The graph of the functions moves 4 units right, 3 units up stretches vertically by a factor of 3 and reflects horizontally.

Step-by-step explanation:

In order to find the function transformations, we must first determine what the base function is:

$f(x)=x^{2}$

Next, we need to determine how the function is being affected by the transformations.

When the graph of the function moves 4 units right, we mus subtract 4 units from x, so the function looks like this then:

$f(x)=(x-4)^{2}$

If we need to stretch it vertically by a factor of 3, we need to multiply the function by 3:

$f(x)=3(x-4)^{2}$

If we need to reflect it horizontally, then we turn the 3 into a negative so we get:

$f(x)=-3(x-4)^{2}$

And finally, if we wanted to move the graph up by 3 units, then we need to add 3 units to the whole graph, so we get:

$f(x)=-3(x-4)^{2}+3$

in the attached picture you will be able to see the graph of the base function with all the transformations.

8 0

3 years ago

11.

Evgesh-ka [11]

See attachment for reply and answer.

7 0

3 years ago

D. What value should be assigned to choosing two chips with the number 1 to make

Snezhnost [94]

The value should be assigned to choosing two chips with the number 1 to make the game fair is 5

<h3>What is probability?</h3>

It is a branch of mathematics that deals with the occurrence of a random event.

The complete question is....

Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1). a. Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) Xi 2 –1 P(xi) b. What is Miguel’s expected value from playing the game? c. Based on the expected value in the previous step, how much money should Miguel expect to win or lose each time he plays? d. What value should be assigned to choosing two chips with the number 1 to make the game fair? Explain your answer using a complete sentence and/or an equation.

Now, for fair game the expected value =0

let the amount assigned be x

So,

1/6x-5/6=0

1/6x=5/6

x=5.

Learn more about this concept here:

brainly.com/question/11905174

#SPJ1

8 0

2 years ago

Solve the inequality: 5 (2h+8) < 60