The names of the months of the year
were written on separate papers and
placed in a hat. Two papers are ran-
domly drawn one at a time, replacing
the first before the second draw. What
is the probability of drawing. ?
(a) April and then June
(b) a month ending in r and then a
month ending in y
(c) May and then not drawing May


Write the probability as a reduced fraction

Step-by-step explanation:

There are 12 months of the year, so there are 12 possible choices for each draw. Since the first paper is replaced before the second draw, each draw can be considered as independent and with replacement.

(a) To draw April and then June, we need to draw April on the first draw (with probability 1/12), and then June on the second draw (with probability 1/12). The probability of both events happening is the product of their probabilities:

P(April and then June) = (1/12) x (1/12) = 1/144

(b) To draw a month ending in r and then a month ending in y, we can choose from the following months: April, June, July, September, and November. There are 5 months that end in r, so the probability of drawing one of them on the first draw is 5/12. After replacing the first paper, there are still 12 months left in the hat, but now we want to draw a month ending in y. There are 4 months that end in y, so the probability of drawing one of them on the second draw is 4/12. Again, the probability of both events happening is the product of their probabilities:

P(month ending in r and then month ending in y) = (5/12) x (4/12) = 5/36

(c) To draw May on the first draw and not draw May on the second draw, the probability of drawing May on the first draw is 1/12, and the probability of not drawing May on the second draw is 11/12 (since there are 11 months left in the hat after May is drawn on the first draw). Again, the probability of both events happening is the product of their probabilities:

P(May and then not drawing May) = (1/12) x (11/12) = 11/144

Therefore, the probabilities are:

(a) 1/144

(b) 5/36

(c) 11/144

Step-by-step explanation:

There are 12 months of the year, so there are 12 possible choices for each draw. Since the first paper is replaced before the second draw, each draw can be considered as independent and with replacement.

(a) To draw April and then June, we need to draw April on the first draw (with probability 1/12), and then June on the second draw (with probability 1/12). The probability of both events happening is the product of their probabilities:

P(April and then June) = (1/12) x (1/12) = 1/144

(b) To draw a month ending in r and then a month ending in y, we can choose from the following months: April, June, July, September, and November. There are 5 months that end in r, so the probability of drawing one of them on the first draw is 5/12. After replacing the first paper, there are still 12 months left in the hat, but now we want to draw a month ending in y. There are 4 months that end in y, so the probability of drawing one of them on the second draw is 4/12. Again, the probability of both events happening is the product of their probabilities:

P(month ending in r and then month ending in y) = (5/12) x (4/12) = 5/36

(c) To draw May on the first draw and not draw May on the second draw, the probability of drawing May on the first draw is 1/12, and the probability of not drawing May on the second draw is 11/12 (since there are 11 months left in the hat after May is drawn on the first draw). Again, the probability of both events happening is the product of their probabilities:

P(May and then not drawing May) = (1/12) x (11/12) = 11/144

Therefore, the probabilities are:

(a) 1/144

(b) 5/36

(c) 11/144

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8th grade math i mark as brainliest

Need an answer ASAP!

Determine the line of reflection.

Reflection across the x-axis
Reflection across the y-axis
Reflection across x = 6
Reflection across y = −4

3. Write an expression to represent "6 more than y"

The net of a right circular cylinder is shown.

net of a cylinder where the radius of each circle is labeled 5 meters and the height of the rectangle is labeled 8 meters

What is the surface area of the cylinder? Use π = 3.14 and round to the nearest whole number.

220 m2
283 m2
408 m2
628 m2

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HELP ME WITH THESE LAST 3 PLEASE
number each with answer
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Use the graph to answer the question.

Graph of polygon ABCDE with vertices at negative 3 comma 3, negative 3 comma 6, 1 comma 6, 1 comma 3, negative 1 comma 1. A second polygon A prime B prime C prime D prime E prime with vertices at negative 5 comma 3, negative 5 comma 6, negative 9 comma 6, negative 9 comma 3, negative 7 comma 1.

Determine the line of reflection.

Reflection across x = −4
Reflection across y = 1
Reflection across the x-axis
Reflection across the y-axis

pls help.....HEEEEELP

find the probability of drawing a black face card on the first draw, replacing it, and drawing a red card on the second draw. please show work.

Match the following.

Column A
1. How should a polygon be constructed triangle?
2. How can you relate construction of polygons to your every day life?
3. Why is it important to know the different kinds of polygons?
4. What do we need to know for polygon?
5. What is the basic construction of polygons?

Column B
A. Three edges of equal legth and tree angles between each pair of edges to be bo degree.
B. The squared form of the tiles you walk on indicates that they are polygons.
C. They teach us how to make patterns, how to use polygons to make other shape.
D. The side must be straight.
E. A regular polygon is a polygon that us equiangular and equilateral.​

(Comparing Data MC)


The line plots represent data collected on the travel times to school from two groups of 15 students.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10,16,20, and 28. There are two dots above 8 and 14. There are three dots above 18. There are four dots above 12. The graph is titled Bus 14 Travel Times.

A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9,18, 20, and 22. There are two dots above 6, 10, 12,14, and 16. The graph is titled Bus 18 Travel Times.


Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.


Bus 14, with an IQR of 6

Bus 18, with an IQR of 7

Bus 14, with a range of 6

Bus 18, with a range of 7

I Truly don't understand this question please help me out... It don't give me the information I feel like I need.

Replace the question mark with the answer.

√(5/6)^2 = ?

Triangle NMO is drawn with vertices N(−5, 2), M(−2, 1), O(−3 , 3). Determine the image vertices of N′M′O′ if the preimage is reflected over x = −5.

N′(5, 2), M′(2, 1), O′(3, 3)
N′(2, −5), M′(1, −2), O′(3, −3)
N′(0, 2), M′(3, 1), O′(2, 3)
N′(−5, 2), M′(−8, 1), O′(−7, 3)

What is 4/7-2/5

Pls answer

Last one!! thank you

HELLOO HELPP PLSS!!!!!!!!!!!!

Mrs. Williams has a prize box with different colored tickets.

Each ticket results in a different type of prize.
Pedro will randomly select a ticket, replace it, and then select another ticket.

What is the probability that he chooses a yellow ticket and then a purple ticket? This problem is based on Independent event problems.

PLEASE HELP NOW!!!!!


1 in 1/2 + 2 in 2/1 + 2 in 4/2 + 3 in 1/2 + 3 in 4/2 +?

Need an answer ASAP!!!

50 PTS HURRY PLS PLS PLS
Match each description to its example.

1. (2, -3) → (-2, -3)
reflection across the y-axis
2. (2, -3) → (-3, 2)
reflection across the x-axis
3. (2, -3) → (-2, 3)
not a reflection
4. (2, -3) → (2, 3)
reflection across both axes

(25 POINTS) Use the drop-down menus and enter values to complete the statements below.

5. A number cube with the numbers 1-6
on its sides is rolled twice. What is the
probability of rolling ________
(a) a 1 and then a 6
(b) an even number and then an odd
number
(c) a number less than 3 and then a
number greater than 3


Write the probability as a reduced fraction

FIRST ANSWER=BRAINLIEST ANSWER :))

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The probability of a spinner landing on 3 is 0.125, and the probability of landing on an even number is 0.5. Which spinner best models these probabilities? Responses