A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles.
What is the probability that you choose a blue marble and then another blue marble, assuming you replace the first marble?
I disagree
prob blue = 3/12 = 1/4
since you are replacing ,
prob(blue, blue) = (1/4)(1/4) = 1/16
For your first draw, you drew the 3 of spades, so for your next draw you want a spade or a king
First of all, there are now only 51 cards left,
there are 12 spades left and 4 kings left, which includes the king of spades
so the number of successful cards = 12+4-1 = 15
prob (of your event) = 15/51 = 5/17
Can I ask for help my teacher is not much help...
A bag contains 5 red marbles and 3 yellow marbles. Lana will select a marble from the bag 2 times and replace the marble each time?
A- dependent event
B- independent event
C- probability
-thanks
Thanks, also can you help me with 1 more?
A standard deck of playing cards contains 52 cards, equally divided among four suits (hearts, diamonds, clubs, and spades). Each suit has the cards 2 through 10, as well as a jack, a queen, a king, and an ace.
If the 3 of spades card is drawn from a standard deck and is not replaced, what is the probability that the next card drawn is a spade OR a king?
A)
1
17
B)
16
51
C)
4
17
D)
5
17
bot help me
An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many hours does it take to use one gallon?
To find how many gallons of water the machine uses each hour, we need to divide the total amount of water used by the number of hours:
3 gallons ÷ 9 hours = 1/3 gallon per hour
So the machine uses 1/3 gallon of water every hour.
To find how many hours it takes to use one gallon of water, we need to divide one gallon by the amount of water used per hour:
1 gallon ÷ 1/3 gallon per hour = 3 hours
So it takes 3 hours for the machine to use one gallon of water.
An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many hours does it take to use one gallon?
Responses
A 13
gallon per hour; 13
hour1 3 gallon per hour; 1 3 hour
B 13
gallon per hour; 3 hours1 3 gallon per hour; 3 hours
C 19
gallon per hour; 1 hour1 9 gallon per hour; 1 hour
D 3 gallons per hour; 19
hour
The correct answer is:
To find how many gallons of water the machine uses each hour, we need to divide the total amount of water used by the number of hours:
3 gallons ÷ 9 hours = 1/3 gallon per hour
So the machine uses 1/3 gallon of water every hour.
To find how many hours it takes to use one gallon of water, we need to divide one gallon by the amount of water used per hour:
1 gallon ÷ 1/3 gallon per hour = 3 hours
So it takes 3 hours for the machine to use one gallon of water.
Therefore, the correct answer is B) 1/3 gallon per hour; 3 hours.
Which set of line segments can be used to construct a triangle?
Responses
A 8 cm, 3 cm, and 3 cm8 cm, 3 cm, and 3 cm
B 8 cm, 2 cm, and 5 cm8 cm, 2 cm, and 5 cm
C 6 cm, 5 cm, and 2 cm6 cm, 5 cm, and 2 cm
D 6 cm, 2 cm, and 9 cm
The correct answer is B) 8 cm, 2 cm, and 5 cm.
To construct a triangle with three line segments, the sum of the lengths of any two segments must be greater than the length of the remaining segment. Let's check each set of segments:
A) 8 cm, 3 cm, and 3 cm: 8 + 3 = 11, which is NOT greater than 3. So this set cannot be used to construct a triangle.
B) 8 cm, 2 cm, and 5 cm: 8 + 2 = 10, which is greater than 5. 8 + 5 = 13, which is greater than 2. 2 + 5 = 7, which is greater than 8. So this set can be used to construct a triangle.
C) 6 cm, 5 cm, and 2 cm: 6 + 5 = 11, which is NOT greater than 2. So this set cannot be used to construct a triangle.
D) 6 cm, 2 cm, and 9 cm: 6 + 2 = 8, which is NOT greater than 9. So this set cannot be used to construct a triangle.
Therefore, the only set that can be used to construct a triangle is B) 8 cm, 2 cm, and 5 cm.