Anna and Charles have a bag that contains 1 black marble and 1 white marble. They are playing a game where they randomly select a marble out of the bag three times, with replacement Anna thinks that the probability of getting a black marble on the first selection and a black marble on the third selection is greater than the probability of getting a black marble on the first selection and a white marble on the third selection. Charles disagrees. He thinks that the two probabilities are equal. The sample space of possible outcomes is listed below. B represents a black marble, and W represents a white marble. Who is correct, Anna or Charles?
Answers
Answer: Charles
Step-by-step explanation:
Either it is the third selection or the first, what matters is that there is only one white ball and 1 black ball.
Answer:
Charles is correct
Step-by-step explanation:
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Related Questions
How integers an all whole numbers are rational numbers
Please, can you help.... I'm really confused. I need an answer really fast. Thank you
Find the sum or difference 167.9+83.97
A furniture factory makes 5 recliners for every 2 couches. If the factory makes a total of 154 recliners and couches in a day, how many recliners were made?
39 +40 +41 +42 + ... + 138
Answers
Answer:
Sol1 you can use "first(first+last)/2" is 138(138+1)/2 - 38(38+1)/2 = 8850
Sol2 or you can look this 39+40+41+....+100+(100+1)+(100+2)+....+(100+38) = 1+2+3+.....+99+100+100(38) = 5050+3800 =8850
Part B: How can you graph the equation obtained in Part A for the first six hours? (5 points)
Answers
Find the slope of the line segment that connects the points (3 hr, 51 km/hr) and (5 hr, 59 km/hr). Graph this line. Where does this line intersect the y-axis? Find the y-value; it's your "y-intercept," b.
Now write the equation: velocity = (slope of line)*t + b
The units of measurement of "slope of line" must be "km per hour squared," and those of the "y-intercept" must be "km per hour."
Part B: Start with the y-intercept (calculated above). Plot it on the vertical axis of your graph. Now label the horizontal axis in hours: {0, 1, 2, 3, 4, 5, 6}. Draw a vertical line through t=6 hours. It will intercept both the horiz. axis and the sloping line representing the velocity as a function of time. Show only the part of the graph that extends from t=0 hours to t=6 hours.
undetectable) in 20 hours. There
exists a set of ordered pairs (t, m),
where t is the amount of time in hours
that the substance has been decaying,
and m is the mass in grams that has
decayed.
If t > 0, what is the range of m?
Answers
Answer:
The range is 0 < m < 2000 when t > 0
Step-by-step explanation:
* Lets explain how to solve the problem
- The exponential function is , where
a is the initial amount and b is the growth factor
- If b > 1, then it is exponential growth function
- If 0 < b < 1, then it is exponential decay function
* Lets solve the problem
- A 2000 gram sample of radioactive matter will completely decay
(be undetectable) in 20 hours
- There is a set of ordered pairs (t , m) exists, where t is the amount
of time in hours that the substance has been decaying and m is
the mass in grams that has decayed
∵ We can represent this situation by an exponential decay function
∴ , where b is the growth factor which is
greater than zero and less than 1 , t is the lime in hours and
m(t) is the mass of the substance in gram
- In any function the domain is the value of x and the range is
the value of y
∵ In the function the domain is t and the range is m
∵ When t = 0 then m = 2000 ⇒ initial amount
∵ When t = 20 then m will be closed to zero
∴ The domain of the function is 0 < t < 20
∴ The range of the function is 0 < m < 2000
* The range is 0 < m < 2000 when t > 0
Answers
Remark
Average Speed = Total distance divided by total time.
Total Time
2 hours + 3 hours = 5 hours. The total time is 5 hours.
Total Distance
d = rate * time
d1 = 40 km/hour * 2 hours = 80 km
d2 = 50 km/hour * 3 hours = 150 km
d = d1 + d2
d = 80 + 150 = 230 km
Average Speed
Av = Total distance / Total Time = 230 / 5 = 46 km/hr
Answers
I have already did 0.89 x 10 which gives me 8.90.
Please Help
Answers
8.90 divided by 0.25= 35.6 (round up to 36 because you cant sell .6 cups of lemonade)
he would have to sell 36 cups of lemonade to pay his aunt back
after he sells 36 cups and pays his aunt back the $8.90 he will have $0.10 left to keep for himself
10 lbs × $0.89 = 8.90 (Which you did already)
Then we see how many cups he needs to sell, in order to get to $8.90.
.25 × 36 = $9
So that would be the approximate answer.
The exact answer would be .25 × 35.6 = $8.9 or $8.90
Hope that helps!