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goldfiish [28.3K]
3 years ago
5

At a fair, each person can spin two wheels of chance. The first wheel has the numbers 1, 2, and 3. The second wheel has the lett

ers A, B, C and D. (a) List all the possible outcomes of the compound event. (2 points for listing all of the outcomes) (b) If you spin both wheels, what is the probability that you get either a 2 or a B? Explain. (1 point for probability/1 point for explanation)
Mathematics
1 answer:
miv72 [106K]3 years ago
5 0
Well, for wheel 1, divide 1/3 to get .3333333333333333
for wheel 2, divide 1/4 to get .25
hope this helps
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A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema
dimaraw [331]

Answer:

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

P_t=P_oe^{-rt}\\\\

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

4 0
3 years ago
It says to place points on them but i still don't get it. help please.
xxTIMURxx [149]

Answer: A'=(1, 3); B'=(-3, 4);C'=(3, 0); D'=(-2, 5)

You can check the PNG attached as well.

Step-by-step explanation:

You need to represent the symmetry of every given points respet to the line

y = 2

In that case, the line beeing paralell to the x- axis, x- value of the symmetry is the same of the given point and y = 2 is the middle between both points.

Point A(1, 1)

x_{A} = 1\\ x_{A'} = 1 \\\\\frac{y_{A} +y_{A'} }{2} =2\\y_{A'} = 4 - y_{A} = 4 - 1 = 3

Point B(-3, 0)

x_{B} = 1\\ x_{B'} = 1 \\\\\frac{y_{B} +y_{B'} }{2} =2\\y_{B'} = 4 - y_{B} = 4 - 0 = 4

Point C(3, 4)

x_{C} = 1\\ x_{C'} = 1 \\\\\frac{y_{C} +y_{C'} }{2} =2\\y_{C'} = 4 - y_{C} = 4 - 4 = 0

Point D(-2, -1)

x_{D} = 1\\ x_{D'} = 1 \\\\\frac{y_{D} +y_{D'} }{2} =2\\y_{D'} = 4 - y_{D} = 4 - (-1) = 4 + 1 = 5

4 0
3 years ago
. When the last 3 digits of a year (such as
Nataliya [291]

Answer:

A ; 23rd century

Step-by-step explanation:

Here, we want to select which of the options is next to have a descending year.

Since all are in the same century i.e 20-something, we do not have an issue with the first digit.

What we need to work on is the last three digits;

We can have 2210, we can have 2321, we can have 2432, we can also have 2543 and so on.

The most recent of all these is the year 2210, so what century does this belong?

Kindly note that, the years 2001-2100 belong to the 21st century.

The years 2101-2200 belong to the 22nd century while the years 2201-2300 belong to the 23rd century

The year we are looking to place is the year 2201 and thus belongs to between 2201-2300 which is the 23rd century

8 0
3 years ago
What is the value of 7-3+(6-2•4)
defon

Answer:

2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Could someone please help ?
blondinia [14]

Answer:

No

Step-by-step explanation:

Put x = 2 into both equations:

For x- 10 = 2-10 = 8 (Not  > 8)

For -0.5x-4 = -0.5*2-4 = -5 (Not < -8)

Hence, the answer is no.

4 0
2 years ago
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