Round all answers to 4 decimal places.a. A bag contains 4 black marbles, 10 white marbles, and 9 red marbles. If a marble is drawn from the
bag, replaced, and another marble is drawn, what is the probability of drawing first a black marble and
then a red marble?
b. A bag contains 10 blue marbles, 9 red marbles, and 4 white marbles. If two different marbles
are drawn from the bag , what is the probability of drawing first a blue marble and then a white marble?

Answers

Answer 1
Answer: a. (4/23)(9/23) = .0681

b. (10/23)(4/23) = .0756

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Consider three boxes with numbered balls in them. Box A con- tains six balls numbered 1, . . . , 6. Box B contains twelve balls numbered 1, . . . , 12. Finally, box C contains four balls numbered 1, . . . , 4. One ball is selected from each urn uniformly at random. (a) What is the probability that the ball chosen from box A is labeled 1 if exactly two balls numbered 1 were selected
(b) What is the probability that the ball chosen from box B is 12 if the arithmetic mean of the three balls selected is exactly 7?

Answers

Answer:

a) 0.73684

b) 2/3

Step-by-step explanation:

part a)

P ( A is 1 / exactly two balls are 1) = (P ( A is 1 and that exactly two balls are 1))/(P (Exactly two balls are one))

Using conditional probability as above:

(A,B,C)

Cases for numerator when:

P( A is 1 and exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1)

= ((1)/(6)* (11)/(12)*(1)/(4))  + ((1)/(6)*(1)/(12)*(3)/(4)) = 0.048611111

Cases for denominator when:

P( Exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1) + P(not 1, 1 , 1)

= ((1)/(6)* (11)/(12)*(1)/(4))  + ((1)/(6)*(1)/(12)*(3)/(4)) + ((5)/(6)*(1)/(12)*(1)/(4))= 0.0659722222

Hence,

P ( A is 1 / exactly two balls are 1) = (P ( A is 1 and that exactly two balls are 1))/(P (Exactly two balls are one)) = (0.048611111)/(0.06597222) \n\n= 0.73684

Part b

P ( B = 12 / A+B+C = 21) = (P ( B = 12 and A+B+C = 21))/(P (A+B+C = 21))

Cases for denominator when:

P ( A + B + C = 21) = P(5,12,4) + P(6,11,4) + P(6,12,3)

= 3*P(5,12,4 ) =3* (1)/(6)*(1)/(12)*(1)/(4)\n\n= (1)/(96)

Cases for numerator when:

P (B = 12 & A + B + C = 21) = P(5,12,4) + P(6,12,3)

= 2*P(5,12,4 ) =2* (1)/(6)*(1)/(12)*(1)/(4)\n\n= (1)/(144)

Hence,

P ( B = 12 / A+B+C = 21) = ((1)/(144) )/((1)/(96) )\n\n= (2)/(3)

A line with a slope of -1/2 passes thru the point (-4,3)...Which equation represents this line?

Answers

Here you go!! Hope this helps!!!!

Answer: Go to a website called m a t h w a y

Step-by-step explanation:

1. It's really good for all kinds of math problems

2. It lets you answers to one question in different ways to give you the best possible answer!!!

3. IT'S FREE!!!!!!!

6. (02.01 MC)The US Department of Health and Human Services wants to know whether the national healthcare system is achieving its goals in Florida. Much information about healthcare comes from

patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US Department of Health and Human Services conducted the

Florida Health Survey, which was used to interview a random sample of 62,348 people who live in the state of Florida.

Part A: What is the population for this sample survey? What is the sample? (4 points)

Part B: The survey found that 74% of males and 83% of females in the sample had visited a general practitioner at least once during the past year. Do you think these estimates are close to

the truth about the entire population? Explain. (6 points) (10 points)

Answers

Answer:

A)i) Population: Total number of people that reside in Florida..

II) Sample: 62348 people that took part in the random survey.

B) No, the estimates are not close to the truth of the entire population.

Step-by-step explanation:

A)i) The population is the total number of people that reside in Florida.

II) The sample is the 62348 people that took part in the random survey.

B) From the details given in the question, we will see that people who are not part of the healthcare system weren't included due to the fact that they used patients records to judge. This means that if they don't have healthcare, then they will have no patient records. Therefore, we can conclude that the estimates are not close to the truth of the entire population due to the fact that that those who weren't part of the Healthcare system were not considered.

On a coordinate plane, an absolute value graph has a vertex at (1, negative 2.5). The graph shows the function f(x) = |x – h| + k. What is the value of k? k = –2.5 k = –1 k = 1 k = 2.5

Answers

9514 1404 393

Answer:

  (a)  k = –2.5

Step-by-step explanation:

When the function f(x) is transformed to f(x -h) +k, the graph is translated h units right and k units up.

If the absolute value function has its original vertex of (0, 0) moved to (1, -2.5), then (h, k) = (1, -2.5).

The value of k is -2.5.

_____

Additional comment

The above answer applies to the given problem statement. The question asked in the comment has a vertex of (0, 2.5), so (h, k) = (0, 2.5) for that question.

If you're going to copy the answer, make sure it is the answer to the question you're looking at.

In an absolute value function expressed as f(x) = |x – h| + k, the value of k corresponds to the y-coordinate of the function's vertex. In this case, as the vertex is at the point (1, -2.5), the value of k is -2.5.

The student's question relates to the concepts of Two-Dimensional (x-y). Graphing and the graphing of the absolute value function. It is vital to remember that the vertex of an absolute value graph in the form f(x) = |x – h| + k corresponds to the point (h, k) on the Cartesian coordinate plane. The student states that the vertex is at the point (1, -2.5), so based on our function analysis, the value of k, which represents the y-coordinate of the vertex, is -2.5. Therefore, the correct answer is k = -2.5.

For more about Absolute Value Graph here:

brainly.com/question/19848212

#SPJ3

The time taken to build a house is inversely proportional to the number of builders.If there are 6 builders, it takes 80 days to complete the house.
How many builders must be employed to build the house in just 16 days?

Answers

Answer:

30 builders

Step-by-step explanation:

80÷5=16

6x5=30

X+3x-2=6x-12 please help

Answers


x + 3x - 2 = 6x - 12 \n4x - 2 = 6x - 12 \n  - 4x \:  \:  \:  \:  \:  \:  \:  \:  - 4x \n  - 2 = 2x - 12 \n  + 12 \:  \:  \:   \:  \:  \:  \:  \:  \: + 12  \n 10 = 2x \n  / 2 \:  \:  \:  / 2 \n 5 = x \n check \n x + 3x - 2 = 6x - 12 \n 5 + 15 - 2 = 30 - 12 \n 18 = 18